Answer:
Step-by-step explanation:
We can use proportionality to find out how much Gino will get paid if he has to plow for 40 hours. Since we know that he gets paid $640 for 20 hours of work, we can set up a proportion to find out how much he will get paid for 40 hours of work.
The proportion can be written as:
Payment for 20 hours / 20 hours = Payment for 40 hours / 40 hours
We can simplify this proportion to:
Payment for 20 hours / 20 = Payment for 40 hours / 40
Substituting the given values, we get:
640 / 20 = Payment for 40 hours / 40
Simplifying this equation, we get:
32 = Payment for 40 hours / 40
Multiplying both sides by 40, we get:
Payment for 40 hours = 32 * 40
Payment for 40 hours = 1280
Therefore, Gino will get paid $1,280 if he has to plow for 40 hours. Hence, the correct answer is (D) $1,280.
Answer:
1.280$
because 20hrs=640 so If it's 40hrs it will add additional 640
2. Determine la mediana y los valores correspondientes al primer y tercer cuartiles en los siguientes datos.5.24 6.02 6.67 7.30 7.59 7.99 8.03 8.35 8.81 9.45 9.61 10.37 10.39 11.86 12.22 12.71 13.07 13.59 13.89 15.42
The average is 9.99, the very first percentile is 8.01, as well as the upper quartile is 13.33 as a result.
The 4 quartiles are what?From smallest to highest number, 25% is the first quartile. Second quartile: 25.1% to 50% (till median) 51% to 75%, third quartile (above the median) 25% of the biggest values are in the fourth quartile.
The data must first be arranged in ascending order before we can calculate the median or quartiles of the provided data:
5.24, 6.02, 6.67, 7.30, 7.59, 7.99, 8.03, 8.35, 8.81, 9.45, 9.61, 10.37, 10.39, 11.86, 12.22, 12.71, 13.07, 13.59, 13.89, 15.42
There are a total of 20 data points, and the median is calculated as that of the average of a 10th and 11th pieces of data:
(9.61 + 10.37) / 2 = 9.99; median
The very first quartile (Q1) must be determined in order to determine.
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Evaluate the expression 1/3x^2 for x=6
The value for the expression 1/3x² for x = 6 is 1/108. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The four fundamental operations, often known as "arithmetic operations," are said to allow every real number to be stated, according to mathematicians. Divide, multiply, add, and subtract are the four mathematical operations that result in quotient, product, sum, and difference, respectively.
We are given an expression as 1/3x².
We need to find its value for x = 6.
Substituting this in the expression, we get
⇒1/3(6)²
⇒1/3(36)
⇒1/108
Hence, the value for the expression 1/3x² for x = 6 is 1/108.
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the median wait time for angioplasty is greater than the median wait time for bypass surgery but the mean wait time is shorter for angioplasty than for bypass surgery. what does this suggest about the distribution of wait times for these two procedures? both means are ---select--- their respective medians, suggesting that both distributions are ---select--- . the fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is ---select--- in the case of bypass surgery, suggesting that the ---select--- is ---select--- pronounced for bypass surgery than for angioplasty.
Based on the given information, we can make the following conclusions: Both means are shorter than their respective medians. The median-to-mean increase is greater in the case of bypass surgery
What is median?In statistics, the median is a measure of central tendency that represents the middle value of a dataset when the data is arranged in ascending or descending order. It is the value that separates the lower 50% of the data from the upper 50% of the data. To find the median of a dataset, the data is first arranged in order. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values. The median is a useful measure of central tendency because it is less sensitive to outliers than the mean, which makes it a better indicator of the typical or central value of a dataset when the data is skewed or contains extreme values.
Here,
1. Both means are shorter than their respective medians, suggesting that both distributions are skewed to the right. This means that there are some patients who wait for a very long time, causing the right tail of the distribution to be longer.
2. The fact that the median is greater for angioplasty and the mean is greater for bypass surgery tells us that the median-to-mean increase is greater in the case of bypass surgery, suggesting that the skewness is more pronounced for bypass surgery than for angioplasty. This means that there are relatively more patients who wait for a very long time for bypass surgery compared to angioplasty, which is reflected in the longer right tail of the distribution for bypass surgery.
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The value of a new car is $30,000. The car will lose 12% of its value each year.
Use an exponential function to find the value of the car after 5 years.
Show all work. Round to the nearest whole number.
The solution is, if depreciation is involved it will NEVER be greater than the amount the car was. $16464
What is an exponent in math?An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.
here, we have,
30000(1+ -.012/4) ^4*5
Use the compounded continuously formula
A= intial amount
Pe^rt
A=30000e
the small e means euler
r= rate
t= t
A= 30000e ^(-0.12x5)
=$16464
the answer is 16,464
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Daniela brought 1/4 of a pound of choclate chip cookies to school and Emily brought 3/7 of a pound of peanut butter cookies.
How many pounds of cookies do we have in total?
Answer:
19/28
Step-by-step explanation:
1/4 = 7/28
3/7 = 12/28
Then:
1/4 + 3/7 = 7/28 + 12/28 = (7+12)/28
= 19/28
Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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8 The River Indus is about 3200 km long. a The Mississippi is about 19% longer than the Indus. How long is the Mississippi? b The Rhine is about 62% shorter than the Indus. How long is the Rhine?
Answer:
the Rhine River is approximately 1216 km long
Step-by-step explanation:
a) If the Mississippi River is 19% longer than the Indus River, we can find its length by multiplying the length of the Indus River by 1.19:
Length of Mississippi River = 3200 km x 1.19 = 3808 km
Therefore, the Mississippi River is approximately 3808 km long.
b) If the Rhine River is 62% shorter than the Indus River, we can find its length by multiplying the length of the Indus River by 0.38 (100% - 62% = 38%):
Length of Rhine River = 3200 km x 0.38 = 1216 km
Therefore, the Rhine River is approximately 1216 km long.
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10. The auditorium can
hold no more than 85 people. The drama club must make no less than $690 from
ticket sales to cover the show's costs. Also, they must sell a minimum of 10 student
tickets and at least 55 adult tickets. If a represents the number of student tickets sold
and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
Number of Inequalities: 3
Answer:
Step-by-step explanation:
Let's start by defining our variables:
a = number of student tickets sold
y = number of adult tickets sold
To write the system of inequalities, we need to take into account the given conditions:
The auditorium can hold no more than 85 people, so the total number of tickets sold cannot exceed 85:
a + y ≤ 85
The drama club must make no less than $690 from ticket sales:
7a + 10y ≥ 690
They must sell a minimum of 10 student tickets and at least 55 adult tickets:
a ≥ 10
y ≥ 55
To solve this system of inequalities graphically, we can plot the lines representing each inequality on the same graph and shade the feasible region. The feasible region is the area that satisfies all the inequalities.
First, let's plot the line a + y = 85. To do this, we can find the intercepts:
a + y = 85
a = 0 ⇒ y = 85
y = 0 ⇒ a = 85
Plotting these points and connecting them with a straight line, we get:
|
85| /
| /
| /
| /
| /
|/______
85
Next, let's plot the line 7a + 10y = 690. To do this, we can find the intercepts:
7a + 10y = 690
a = 0 ⇒ y = 69
y = 0 ⇒ a = 99
Plotting these points and connecting them with a straight line, we get:
|
85| /
| /
| /
| /
|/
|______
99
Finally, we need to shade the feasible region. We know that a ≥ 10 and y ≥ 55, so we can shade the region above the line a = 10 and to the right of the line y = 55.
markdown
Copy code
|
85| /\
| / \
| / \
| / \
| / \
/_________\
99 55
This shaded region represents all the possible solutions that satisfy all three inequalities. We can now find one possible solution by picking any point within this region. For example, the point (20, 65) represents selling 20 student tickets and 65 adult tickets, which meets all the conditions and generates a total revenue of 720 + 1065 = $690.
I’m confused what’s the answer
Answer:
No real solutions
Step-by-step explanation:
If lines are parallel, it means that they will never meet each other indicating that there are no real solutions.
At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?
Answer:
36 green marbles
Step-by-step explanation:
If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:
Green marbles = 60% x 60 marbles
To simplify this calculation, we can convert 60% to a decimal by dividing by 100:
Green marbles = 0.60 x 60 marbles
Green marbles = 36 marbles
Therefore, Rudy received 36 green marbles.
Answer: 36
Step-by-step explanation:
60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36
-95 times a number -14 is equal to -70 one less thing the number
The equation for the given statement can be written as:
-95x - 14 = -70 - x
To solve for x, we can rearrange the equation and combine like terms:
-95x + x = -70 + 14
-94x = -56
Next, we can divide both sides by -94 to isolate x:
x = -56/-94
Finally, we can simplify the fraction to get our answer:
x = 28/47
Therefore, the solution to the equation is x = 28/47.
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Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually. What is the annual interest rate?
The annual interest rate for the given compound interset is 6%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal—the amount loaned.
Given that, Rs.2250 is deposited for 2 years in an account, it amounts to Rs.2560 compounded annually.
A = P(1+r)ⁿ
2560 = 2250(1+r)²
2560 / 2250 = (1+r)²
1.13 = (1+r)²
Taking roots,
1+r = √1.13
r = 0.06
r = 6%
Hence, the annual interest rate for the given compound interset is 6%
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1. Expected value and Bivariate Probability. The Chamber of Commerce of a Canadian city
has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received
a rating of 1-3 on its meal price (1 = least expensive; 3 = most expensive), and quality (1 =
lowest quality; 3 = greatest quality). Below is a crosstabulation of the rating data.
Meal Price (y)
Quality (x) 1 2 3 Total
1 42 39 3 84
2 33 63 54 150
3 3 15 48 66
Total 78 117 105 300
a. Develop a bivariate probability distribution for quality and meal price of a randomly selected
restaurant in this Canadian city. Let x = quality rating and y = meal price.
b. Compute the expected value for quality rating, x.
c. Compute the expected value for meal price, y.
d. The Var(x+y) = 1.6691. The Var(x) = 0.4964. The Var(y) = 0.6019. Compute the covariance
of x and y. What can you say about the relationship between quality and meal price. Is this what
you would expect?
e. Compute the correlation coefficient between quality and meal price. What is the strength of
the relationship? Do you suppose it is likely to find a low-cost restaurant in the city that is also
high quality? Why or why not?
a) Let x denote the quality rating and y denote the meal price.
b. From the above table, the marginal density function of x is 1.94
c. From the probability table, the marginal density function of y is 2.09
What is the Probability Distribution Table?The probability distribution table for quality and meal price is obtained by dividing each and every frequency by the total frequency of 300 is attached in the image.
The probability distribution is obtained in the attached image below.
The expected value of x is,
1 x 0.28 + 2 x 0.50 + 3 x 0.22
= 1.94
To find the marginal density function of y
1 x 0.26 + 2 x 0.39 + 3 x 0.35
= 2.09
Given that var(x+y)=1.6691
var(x)=0.4964 and var(y)=0.6019
var(x+y) =1.6691
var(x) + var(y) +2* cov(x,y)=1.6691
0.4964+0.6019+ 2 *cov(x,y) =1.6691
1.0983+ 2 * cov(x,y) =1.6691
2 * cov(x,y) =1.6691-1.0983
2* cov(x,y)=0.5708
cov(x,y) =(0.5708)/2
cov(x,y)= 0.2854
Thus, the covariance of x and y is, 0.2854.
Here, the covariance of x and y is positive.
Thus, the relationship between quality and meal price is positive.
If the quality of the meal increases then the meal price also increases.
Yes, the expected result is positive because if the quality of the meal is good then meal price increases.
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Match the vocabulary term to its correct definition
To match the terms to their correct definitions, we have:
Kite - A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.Parallelogram - A quadrilateral with both pairs of opposite sides parallelRectangle - A parallelogram with four right angles.Trapezoid - A quadrilateral with exactly one pair of parallel sides. Rhombus - A parallelogram with four congruent sides and four right angles.What is a quadrilateral?A quadrilateral refers to a two-dimensional shape that has four sides, four vertices, and four angles.
There are different categories of quadrilaterals, such as trapezium, kite, parallelogram, rectangle, rhombus, and square.
The sides of a quadrilateral can be of different lengths and the angles can be of different measures.
Some types of quadrilaterals such as squares, rectangles, rhombus, etc. are special with some of their sides and angles being equal.
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Miles is throwing three darts at the board shown below. His score is the sum of all three darts. How many different possible total scores could Miles get with three darts?
A) 450
B) 46
C) 12
D) 10
450, 46, 12
46, 12, 10
450, 10, 12
46,450,10
Step-by-step explanation:
The mixture of any three would be the possibilities
450, 46, 12
46, 12, 10
450, 10, 12
46,450,10
The rim of the volcanic crater shown below is a circle. The diameter is 620 m. What is the circumference of the rim of the crater in kilometres (km)?
A deposit of $500 earns 5 percent the first year, 6 percent the second year, and 7 percent the third year. What would be the third year value
Answer:
Step-by-step explanation:
To find the third year value of the deposit, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where A is the amount of money after t years, P is the principal (the initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
For the first year, we have:
P = $500
r = 0.05
n = 1 (compounded annually)
t = 1
So, the amount after the first year is:
A1 = $500(1 + 0.05/1)^(1*1) = $525
For the second year, we have:
P = $525 (the amount after the first year)
r = 0.06
n = 1
t = 1
So, the amount after the second year is:
A2 = $525(1 + 0.06/1)^(1*1) = $556.50
For the third year, we have:
P = $556.50 (the amount after the second year)
r = 0.07
n = 1
t = 1
So, the amount after the third year is:
A3 = $556.50(1 + 0.07/1)^(1*1) = $594.64
Therefore, the third year value of the deposit is $594.64.
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system. x – y ≥ 7 x + 2y < 5
Answer: To graph this system of inequalities, we can first graph each inequality separately and then find the region where they overlap.
Starting with the first inequality, x - y ≥ 7, we can rearrange it to y ≤ x - 7 and graph the line y = x - 7. Since the inequality includes the line, we will use a solid line to represent it, and shade below the line to show the region where y is less than or equal to x - 7.
Next, for the second inequality, x + 2y < 5, we can rearrange it to y < (-1/2)x + 5/2 and graph the line y = (-1/2)x + 5/2. Since the inequality excludes the line, we will use a dashed line to represent it, and shade below the line to show the region where y is less than (-1/2)x + 5/2.
Now we can combine the two shaded regions to find the overlapping region where both inequalities are satisfied. This region is shown in the graph below:
| /
| /
| /
| /
| /
|/
---------------
The point that represents a solution to the system is the point where the two lines intersect. To find this point, we can solve the system of equations:
y = x - 7
y = (-1/2)x + 5/2
Substituting the first equation into the second, we get:
x - 7 = (-1/2)x + 5/2
Simplifying this equation, we get:
(3/2)x = 19/2
x = 19/3
Substituting this value of x into either of the original equations, we get:
y = 19/3 - 7 = 2/3
So the point that represents a solution to the system is (19/3, 2/3).
Step-by-step explanation:
PLS HELP! Divide.
(x4 +14) = (x + 2)
x[²] + [ ]x² + [ ]x + [ +
x+2
please see the picture I but the answer on the top and the explanation in the bottom.
Need help!!
An individual borrowed $95,000 at an APR of 5%.
which will be paid off with monthly payments of $ 450 for 25 years.
Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest?
Percentage of amount paid towards principal = 70.37%
Percentage of amount paid towards interest = 29.63%
What is APR?APR is abbreviation Annual Percentage Rate. APR is estimate cost over a year of borrowing, It is expressed in percentage of the money borrowed. The higher it is, the more expensive to borrow. The lower it is, the cheaper it'll be to borrow.
Given,
Principal amount (P) = $95000
APR (R) = 5% = 0.05
Time (T)= 25 years
Amount paid monthly $450 for 25 years
There are 12 payments every year for 25 years
No. of payments,
12 × 25 = 300.
Total amount paid
3000 × $450 = $135000.
Amount paid toward Principal = $95,000
In percentage
= (95000/135000)×100
= 70.37%
Toward Interest = $135000 - $95000 = $40000
In percentage
= (95000/135000)×100
= 29.63%
Hence, 70.37% of amount is paid toward principal and 29.63% is paid for interest.
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Answer:
Step-by-step explanation:
To determine what percentage of the total amount paid is applied towards the principal and interest, we first need to calculate the total amount paid over the 25-year term.
The monthly payment can be calculated using the formula for a loan payment:
P = (r(PV)) / (1 - (1+r)^(-n))
where P is the monthly payment, r is the monthly interest rate (APR / 12), PV is the present value of the loan (or the amount borrowed), and n is the total number of payments (25 years * 12 months/year = 300).
Plugging in the given values, we get:
P = (0.05/12 * $95,000) / (1 - (1+0.05/12)^(-300)) = $536.82
This means that the total amount paid over the 25-year term is:
Total amount paid = 300 * $536.82 = $161,046
The amount borrowed (or the principal) is $95,000. Therefore, the amount of interest paid over the 25-year term is:
Total interest paid = $161,046 - $95,000 = $66,046
To find the percentage of the total amount paid that is applied towards the principal, we can divide the principal by the total amount paid and multiply by 100:
Percentage of total amount paid towards principal = ($95,000 / $161,046) x 100% = 59.03%
To find the percentage of the total amount paid that is applied towards interest, we can divide the interest paid by the total amount paid and multiply by 100:
Percentage of total amount paid towards interest = ($66,046)
The magnitude of earthquake can be detected using the Richter Scale (R)
(
R
)
as function of the earthquake amplitude (A)
(
A
)
and standard wave amplitude (A0)
(
A
0
)
, where R=log(AA0)
R
=
l
o
g
(
A
A
0
)
. Given that the earthquake amplitude is 288 times as great as wave amplitude, what is the magnitude of this earthquake using the Richter scale to one decimal place
The magnitude of the earthquake, as measured on the Richter Scale, is 2.5.
What is Richter Scale ?
The Richter Scale is a logarithmic scale used to measure the magnitude of earthquakes. It was developed by seismologist Charles Richter in the 1930s and is named after him.
The Richter Scale measures the amplitude of the seismic waves produced by an earthquake, which are detected by seismographs. The amplitude is a measure of the size of the earthquake, and is related to the amount of energy released by the earthquake.
Given by the question:
The Richter Scale equation for the magnitude (R) of an earthquake is:
R = log(A/A0)
where A is the amplitude of the earthquake and A0 is a standard wave amplitude.
We are given that the earthquake amplitude (A) is 288 times as great as the standard wave amplitude (A0):
A = 288 A0
Substituting this into the Richter Scale equation, we get:
R = log(288 A0 / A0)
R = log(288)
Using a calculator or a logarithm table, we can evaluate the logarithm of 288 to get:
R = 2.46
Rounding this to one decimal place, we get:
R ≈ 2.5
Therefore, the magnitude of the earthquake, as measured on the Richter Scale, is 2.5.
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I'll give brainliest
Answer: C) (1, -1)
Step-by-step explanation:
[tex]\boldsymbol{\sf{\underline{\diamond System \ of \ equations \ by \ the \ reduction \ method:} }}[/tex]
[tex]\boldsymbol{\sf{We\:have\:the\:system\:of\:equations \ --\to \ \left \{ {{x+2y=1 \ } \atop {2x-3y=5 }} \right. }}[/tex]
Multiply the first equation by 2, and the second equation by -1, then both equations must be added.
[tex]\boldsymbol{\sf{\star \ 2(x+2y=-1) }}\\ \boldsymbol{\sf{\star -1(2x-3y=5) }}[/tex]
We add these equations to eliminate x.
[tex]\boldsymbol{\sf{\star \ 7y=-7 }}[/tex]
Then we solve 7y=-7 for y (divide by 7).
[tex]\boldsymbol{\sf{\star \ \dfrac{7y}{7}=\dfrac{-7}{7} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ y=-1}}}[/tex]
We place the found value of y, in one of the original equations y to solve for x.
[tex]\boldsymbol{\sf{\star \ x+2y=-1}} \\ \\ \boldsymbol{\sf{\star \ x+2(-1)=-1}}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}[/tex]
Simplify (We add x to both sides.)
[tex]\boldsymbol{\sf{\star \ 0+(x)=-x+1+(x) }}\\ \\ \boldsymbol{\sf{\star \ x=1}}\\ \\ \boldsymbol{\sf{\star -2=-1-x}}[/tex]
Add (2) to both sides.
[tex]\boldsymbol{\sf{\star \ -2+(2)=-x-1+(2) }}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}[/tex]
We divide by 1.
[tex]\boldsymbol{\sf{\star \ \dfrac{x}{1}=\dfrac{1}{1} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ x=1}}}[/tex]
[tex]\underline{\bf{ \ \ x,y \ answer\ \ \ \ }}\\\boxed{\boldsymbol{\sf{x=1,y=-1 }}}[/tex]
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Find the original price of a fitness watch that is $105 after 30% discount
Haddad purchases a new surround system with a store credit card if haddad pays the minimum monthly payment he will have his balance paid off in 58 months if he pays an additional $30 each month he will have his balance paid off in 24 months what percent of time will haddad save by paying the extra $30 per month?
Answer:
Let M be the minimum monthly payment and A be the additional monthly payment of $30. Let B be the balance on the store credit card.
From the problem, we have:B = M * 58 (if only minimum payments are made)
B = (M + A) * 24 (if an additional $30 is paid each month)
Simplifying these equations, we get:M = B / 58
M + A = B / 24
Substituting the first equation into the second equation, we get: B / 58 + A = B / 24
Solving for A, we get:A = B / 24 - B / 58
A = B * (58/24 - 1/58)
Simplifying, we get:A = B * 0.08275862
To find the percent of time that Haddad will save by paying the extra $30 per month, we need to find the difference in time between the two scenarios and divide by the longer time (58 months).
The time it takes to pay off the balance with only the minimum payments is 58 months, while the time it takes to pay off the balance with the additional $30 each month is 24 months.
The difference in time is:58 - 24 = 34
So Haddad will save 34 / 58 = 0.5862, or 58.62% of the time by paying the extra $30 per month.
Help me!!!!!!!!!!!!!!!!!!
Answer:
x = 10
Step-by-step explanation:
We know that it's a right triangle and it's two sides, which are 6 and 8
So we can find the third side, the Hypotenuse or x, using the Pythagoras Theorem
6² + 8² = Hypotenuse ²
36 + 64 = Hypotenuse²
100 = Hypotenuse²
Hypotenuse = root100
Hypotenuse = 10
Therefore x = 10
Need helping solving this problem
The cost of the burger and the cost of an order of fries to Lynn would be :
Cost of burgher - $3.00Cost of fries - $ 1. 60How to find the cost ?From the problem, we know that Lynn spent $20.00 and purchased 4 hamburgers and 5 orders of fries. Similarly, we know that Ricardo spent $41.20 and purchased 10 hamburgers and 7 orders of fries, which gives us the equations:
4h + 5f = 20
10h + 7f = 41.20
Using substitution, we can express h in form of f to be :
4h + 5f = 20
4 [ ( 3 f + 1. 20 ) / 2] + 5 f = 20
6 f + 2 . 40 + 5 f = 20
11 f = 17. 60
f = $ 1. 60
We can then find the cost of hamburgers using the first equation :
4h + 5f = 20
4h + 5 ( 1. 60 ) = 20
4h + 8 = 20
4h = 12
h = $ 3
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A claw arcade machine contains stuffed animals and mystery boxes.
There are 63 items in the machine. Winning a stuffed animal has twice as
many favorable outcomes as winning a mystery box. How many of each
item is in the machine?
A claw arcade machine contains stuffed animals and mystery boxes.
A claw arcade machine is a popular type of game machine found in many arcades and amusement parks. It typically consists of a glass cabinet that contains a variety of stuffed animals and other prizes, such as mystery boxes, that can be won by using a mechanical claw.
The player inserts a designated amount of money and then uses the joystick to position the claw over the desired prize. Once the player is satisfied with the claw's position, they press a button to make the claw descend and attempt to grab the prize. If the claw is successful in grabbing the prize, it will lift it up and drop it into the prize chute, where the player can then collect it.
The prizes in a claw machine can vary from small plush toys to larger stuffed animals, and even mystery boxes that contain unknown items or a chance to win a bigger prize. The claw's strength and grip are adjustable, which can make winning a prize more difficult or easier depending on the machine's settings.
Claw machines are a popular form of entertainment for all ages, and the thrill of successfully grabbing a coveted prize can be a source of excitement and satisfaction for players.
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Find the arc measure of DEG
The solution is, radius: 23 inches.
What is arc length?Arc length formula is used to calculate the measure of the distance along the curved line making up the arc (a segment of a circle). In simple words, the distance that runs through the curved line of the circle making up the arc is known as the arc length.
here, we have,
Formula: ∅r = arc length
Here the ∅ is 2 rads and arc length is 46 inches.
using the formula:
2*r = 46
r = 23 inches
The solution is, radius: 23 inches.
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is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction
Answer:
0 = 0 (All real numbers are solutions.)
Step-by-step explanation:
is -2(-12y+5)+4=8(3y+2)-22 a conditional equation an identity or a contradiction
-2(-12y + 5) + 4 - 8(3y - 2) + 22 = 0
24y - 10 + 4 - 24y - 16 + 22 = 0
-6 - 16 + 22
- 22 + 22 = 0
0 = 0 (All real numbers are solutions.)