The equation is given by 5n + 100n = 210
Peggy has 8 quarters and 2 nickels
Let's call q the number of quarters and n the number of nickels.
If Peggy has four times as many quarters as nickels, we can write the following equation:
q = 4n
Then, each quarter has a value of 0.25 dollars and each nickel has a value of 0.05 dollars, so
0.25q + 0.05n = 2.10
Because she had $2.10. Now, we can replace the first equation on the second one
0.25(4n) + 0.05n = 2.10
1n + 0.05n = 2.10
Finally, we can multiply both sides by 100, so
100n + 0.05(100)n + 2.10(100)
100n + 5n = 210
Therefore, the equation that can be used to solve the problem is
5n + 100n = 210
Now, we can solve the equation for n
105n = 210
105n/105 = 210/105
n = 2
Then, q is equal to
q = 4n
q = 4(2)
q = 8
It means that Peggy has 8 quarters and 2 nickels.
Learn more about Equation at:
https://brainly.com/question/2972832
#SPJ1
complete question is listed below:
Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?
Which of the following equations could be used to solve the problem?
On+4 n=210
5 n+100 n=210
n+4 n=2.10
5n+100 n=2.10.
Celine measured the high school and made a scale drawing. The scale she used was
1 millimeter: 10 meters. If the actual length of the parking lot is 120 meters, how long is the
parking lot in the drawing?
millimeters
Josh says that you can write division problems two ways:
72/6=12 72/12=6
Sarah agrees that division problems can be written two ways but she says that Josh wrote one of his division problems incorrectly. Which problem is correct and how does Sarah think he should write it correctly?
There is nothing wrong with either division problem
72/12=6 should be written as 6/72=12
72/12=6 should be written as 12/72=6
Answer choices B and C are both correct
Answer:
A. there is nothing wrong with either division problem
Step-by-step explanation:
pls give simple working out
x is 146 degrees
This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees
180 - 34 = 146
Answer: x = 146°
Step-by-step explanation:
Given that y = 35°, Using linear pair
x+y = 180
x+35=180(Substitute value of y)
x=180-35(Transposition Method)
x=145°
Show that when the input value increases from x to x + 1, the output values h (x + 1) and h(x) have a
quotient of 4.
We have shown that when the input value increases from x to x + 1 the output values h(x + 1) and h(x) have a quotient of 4
Showing that when the input value increases from x to x + 1 the output values h(x + 1) and h(x) have a quotient of 4To show that when the input value increases from x to x+1, the output values h(x+1) and h(x) have a quotient of 4, we need to show that:
{h(x+1) - h(x)}/{1} = 4
Which simplifies to:
h(x+1) - h(x) = 4
If we assume that h is a differentiable function, we can use the mean value theorem to prove this.
By the mean value theorem, there exists a number c between x and x+1 such that:
h(x+1) - h(x) = h'(c)
Where h'(c) is the derivative of h evaluated at c.
Since h'(x) is the rate of change of h with respect to x, we can interpret the equation h(x+1) - h(x) = h'(c) as saying that the change in h over the interval from x to x+1 is equal to the instantaneous rate of change of h at some point c in that interval.
If we assume that h'(x) = 4 for all x, then we have:
h'(c) = 4
For any c between x and x+1. Substituting this into the equation above, we get:
h(x+1) - h(x) = 4
which is what we wanted to show.
Hence, if h is a differentiable function and h'(x) = 4 for all x, then when the input value increases from x to x+1, the output values h(x+1) and h(x) have a quotient of 4
Learn more on Showing that when the input value increases from some values the output values have some quotient here: https://brainly.com/question/19768891
#SPJ1
Give some
Unit transformation questions.
Answer:
Examples below
Step-by-step explanation:
How many milliseconds are in 3.25 days?
How many grams are in 12.6 ounces ?
How many meters are in 2 3/4 miles ?
Everybody's blood pressure varies over the course of the day. In a certain individual the resting diastolic blood pressure at time t is given by
B(t) = 90 + 9 sin(t/12),
where t is measured in hours since midnight and B(t) in mmHg (millimeters of mercury). Find this person's diastolic blood pressure at the following times. (Round your answers to one decimal place.)
Person's diastolic blood pressure at 6:00am is 94.5 mmHg.
What is diastolic blood pressure?Diastolic blood pressure is the lower number in a blood pressure reading. It indicates the pressure in the arteries when the heart muscle is resting between beats and refilling with blood. A normal diastolic blood pressure is between 80 and 90 mmHg (millimeters of mercury).
For example, if a person's blood pressure reading is 120/80 mmHg, the diastolic blood pressure is 80 mmHg. This means that the pressure in the arteries when the heart is at rest is 80 mmHg. High diastolic blood pressure (greater than 90 mmHg) is a risk factor for heart attack, stroke, and other cardiovascular problems.
The formula for diastolic blood pressure at time t is given by B(t) = 90 + 9 sin(t/12). To find the diastolic blood pressure at 6:00am, need to plug in t = 6 into the formula.
B(6) = 90 + 9 sin(6/12) = 90 + 9 sin(0.5) = 90 + 9(0.4794) = 94.5 mmHg.
To know more about Diastolic pressure calculations, visit:
https://brainly.com/question/14661197
#SPJ1
WILL GIVE Brainliest
A summary about graphs
Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
A tank of water has a base a circle of radius 2 meters and vertical sides. If water leaves the tank at a rate of 2 liters per minute, how fast is the water level falling in centimeters per hour? [1 liter is 1000 cubic centimeters].
The water level is falling at a rate of approximately 0.152 centimeters per hour.
The radius r of the circular base is given as 2 meters, or 200 centimeters. Substituting this and rearranging the above equation, we get:
dh/dt = (dV/dt)/(πr²) = (-2000 cm³/min)/(π(200 cm)²) ≈ -0.00253 cm/min
To find the rate of change of water level in centimeters per hour, we can convert the above result to centimeters per hour by multiplying it by 60:
dh/dt ≈ -0.00253 cm/min × 60 min/hour ≈ -0.152 cm/hour
Therefore, the water level is falling at a rate of approximately 0.152 centimeters per hour.
Learn more about rate of change here:
https://brainly.com/question/8728504
#SPJ4
Pls show steps so I can know how to do it.
The area of the parallelogram with base 50 ft and height 37 ft is 1850 sq. ft.
What is area of parallelogram?The region or space a parallelogram occupies in a two-dimensional plane is known as the area of a parallelogram. A particular kind of quadrilateral is a parallelogram. A quadrilateral is referred to as a parallelogram if it has two sets of parallel opposite sides. A parallelogram can be anything from a rectangle to a square to a rhombus. Shapes—2D or 3D—are the foundation of geometry. Each of these forms has a unique set of features and uses a separate area formula.
The area of the parallelogram is given by the formula:
A = (b)(h)
Given that,
b = 50 ft
h = 37 ft
Substitute the values in the equation of area:
A = (50)(37)
A = 1850 sq. ft
Hence, the area of the parallelogram is 1850 sq. ft.
Learn more about parallelogram here:
https://brainly.com/question/29147156
#SPJ1
The area of an equilateral triangle is 3*square root of 3, square units. Find the side length of the triangle.
Answer:
2√3
Step-by-step explanation:
Area of equilateral triangle is
A = (√3/4) a^2
If A = 3√3
=> 3√3 = (√3/4) a^2
3 = a^2/4
a^2 = 12
a = √12 = 2√3
if my bill is 25.00 and I get a 10% discount what is my new bill
Answer: 22.50
Step-by-step explanation:
25 x 0.1
25 - 2.5
Answer:
The correct answer is 22.50
What is the possible length sides of AB??
The possible lengths of side AB as required to be determined in the task content are; 17.2, 15.59 and 8.
What length measures are possible for side AB?It follows from the task content that the length measures which are possible for side AB be determined.
By the triangle inequality theorem;
AB < 7 + 12; AB < 19
and
AB > 12 - 7; AB > 5
On this note, 5 < AB < 19.
Consequently, the possible lengths of side AB as required are; 17.2, 15.59 and 8.
Read more on triangle inequality theorem;
https://brainly.com/question/1163433
#SPJ1
Mrs. Wheeler prepares a list of 434343 US presidents, 313131 of whom served in the military. Then 888 students each select a president at random (there can be repeats) for their civics presentations.
What is the probability that at least one of the students will select a president who did not serve in the military?
Round your answer to the nearest hundredth.
P(\text{at least one not in military})=
The probability that at least one of the students will select a president who did not serve in the military is 1.00.
According to given information :The probability that a student selects a president who did serve in the military is:
P(selects military president) = 31/43
Therefore, the probability that a student selects a president who did not serve in the military is:
P(selects non-military president) = 1 - 31/43 = 12/43
The probability that none of the 888 students select a non-military president is:
P(none select non-military president) = (31/43)^{888}
Therefore, the probability that at least one of the students will select a president who did not serve in the military is:
P(\text{at least one not in military}) = 1 - P(none select non-military president) = 1 - (31/43)^{888} ≈ 0.9996
Rounded to the nearest hundredth, the probability is 1.00.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. For example, the probability of flipping a fair coin and it landing on heads is 0.5 or 50%, while the probability of rolling a 7 on a standard six-sided die is 6/36 or 1/6, since there are six ways to roll a 7 out of 36 possible outcomes. Probability theory is used in many fields, including statistics, mathematics, science, finance, and engineering, to model and analyze random events and to make predictions based on data.
To know more about probablity visit :
https://brainly.com/question/13604758
#SPJ1
1. A friend invests $320 in an account that pays 3% annual interest
compounded continuously. Which is the best estimate of the amount of
interest the account earns between the end of the 4th year and the end of
the 5th year?
A. $9
B. $11
C. $52
D. $61
Answer:
B. $11
Step-by-step explanation:
At end of 4th year:
[tex]320 {e}^{.03 \times 4} = 360.80[/tex]
At end of 5th year:
[tex]320 {e}^{.03 \times 5} = 371.79[/tex]
Interest earned between end of these two years:
[tex]371.79 - 360.80 = 10.99[/tex]
Find the slope of the line that passes through the points (2, 7) and (8, 9).
Answer:
1/3 or 0.3 repeated
Step-by-step explanation:
The formula is y2 minus y1 over x2 minus x1.
It is going to look like this for you:
9 - 7
_____
8 - 2
You are going to get 2/6 as your answer, which is 1/3 or 0.3 repeated.
i need help with this
The supplied statement states that the candle would reach a height of 14.85 cm after 24 hours.
What does the word "height" mean?The terms "altitude" and "elevation" refer to the vertical distance between something's top and bottom or its base and it's something above it. Height is used to describe everything that may be measured vertically, high or low.
Let Y = height.
let X equal time
Y = mX + b, where the slope of m & b is the y-intercept, denotes the linear relationship between height and time.
We can determine the slope using the information provided (13, 15.4) and (29, 6.5)
Slope = (y2 - y1) / (x2 - x1) = (6.5 - 15.4) / (29 - 13) = -8.9 / 16 = -0.55
This indicates that the candle is losing height at a rate of 0.55 cm each hour.
As the first grid cell of 24 hours comes 13 hours afterwards, (13, 15.4), the height will go down by 13 * (-0.55) = -7.15 cm in the 13 hours between hour 13 and hour 24.
Hence, the candle's height 24 hours later = 15.4 - 0.55 = 14.85 centimeters
To know more about Height visit:
https://brainly.com/question/28122539
#SPJ1
Find the zeros and give the multiplicity of
F(x)= x^2(x^2+18x+81)
Answer:
Step-by-step explanation:
To find the zeros of F(x), we need to solve the equation F(x) = 0.
F(x) = x^2(x^2+18x+81)
The expression F(x) can be factored as:
F(x) = x^2(x+9)^2
So, the zeros of F(x) are x = 0 and x = -9, with a multiplicity of 2 for both.
The factor x^2 contributes to a zero of multiplicity 2, which means that the graph of F(x) touches the x-axis at x = 0 but does not cross it. The factor (x+9)^2 also contributes to a zero of multiplicity 2, which means that the graph of F(x) touches the x-axis at x = -9 but does not cross it.
To summarize, the zeros and their multiplicities for F(x) are:
x = 0 (multiplicity 2)
x = -9 (multiplicity 2)
Select the correct answer. Which graph represents this equation? A. The graph shows an upward parabola with vertex (3, minus 4.5) and passes through (minus 1, 3.5), (0, 0), (6, 0), and (7, 3.5) B. The graph shows an upward parabola with vertex (minus 3, minus 4.5) and passes through (minus 7, 3.5), (minus 6, 0), (0, 0), and (1, 3.5) C. The graph shows an upward parabola with vertex (minus 2, minus 6) and passes through (minus 5, 7), (minus 4, 0), (0, 0), and (1, 7) D. The graph shows an upward parabola with vertex (2, minus 6) and passes through (minus 1, 7), (0, 0), (4, 0), and (5, 7)
We discover that only the equation associated with answer option D meets all four criteria and has the right vertex:
[tex]y = -2(x - 2)^2 - 6[/tex]
The supplied coordinates (-1, 7), (0, 0), (4, 0), and are all on the graph of this equation, which has a vertex at (2, -6) (5, 7). Hence, D is the right response.
What is equation?The equation is a mathematical and physical statement that defines physical occurrences. It usually consists of a variable that only presents a physical quantity, with a possible personal variable such as your energy being pointed out.
The function y = x2 - 6 provides the answer to this equation. The vertex of the parabola is (2, -6), which may be determined by calculating the equation's derivative and setting it to 0. The graph includes the coordinates (- 1, 7), (0, 0), (4, 0), and (5, 7) because they are the answers to the equation.
To know more about equations click-
brainly.com/question/26408808
#SPJ1
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:The correct equations are y²-5y=750, 750-y(y-5)=0 ,(y+25)(y-30)=0
Step-by-step explanation: Let the length=y
breadth=y-5
area of rectangle= length*breadth
750=y(y-5)
To know more about quadratic equations:
https://brainly.com/question/27065640
what is the vertex of this problem?
The properties to the equation are
Vertex: (1, 6)Axis of symmetry: x = 1Zero(s) = None (complex roots)How to determine the properties to the equationFrom the question, we have the following parameters that can be used in our computation:
y = 2x^2 - 4x + 8
The above expression is a quadratic equation
Next, we plot the graph
From the graph, we have the following summary
Vertex: (1, 6)
Axis of symmetry: x = 1
Zero(s) = None (complex roots)
See attachment for the graph of the equation
Read more about equation at
https://brainly.com/question/18831322
#SPJ1
what type of function is represented in the table
Answer:
linear function
(last option)
Step-by-step explanation:
We can see from the table that, as x increases by one unit, y decreases by 4 units
Therefore the slope (rate of change of y wrt x) is constant and = - 4
Hence linear
24. Higher Order Thinking Tamar is thinking
Her
of a number in the hundredths.
number is greater than 0.8 and less than
0.9. The greatest digit in the number is in
the hundredths place. What number is
Tamar thinking of? Explain.
Answer:
Below
Step-by-step explanation:
.89 '9' is in the hundredths place and is greater than 8
How close do you think your face is to the classical Greek standard of beauty? Explain your answer
According to my previous knowledge, I consider that my face is not very in accordance with the beauty canon of Classical Greece because my skin tone is much darker, my eyes are dark in color and my nose is not upturned.
What is a canon or standard of beauty?A canon or beauty standard is a term that refers to a reference model that is established as a point of comparison to evaluate the beauty of a person. Throughout history beauty standards have evolved and have included different characteristics.
In the case of Classical Greece, beauty standards included different characteristics such as:
upturned noseAthletic bodylight colored eyesReddish or blonde hairWide hips (women)Thick lipsAccording to the above, I would not be beautiful in ancient Greece because my physical characteristics are different from what they considered to be beautiful.
Learn more about beauty in: https://brainly.com/question/26729707
#SPJ1
100 POINTS PLEASE HELP
Answer:
The correct answer is (d) 1900.
Step-by-step explanation:
here's a step-by-step explanation of how to arrive at the correct answer:
Step 1: Identify the total expenses for the month of November
From the given ledger, we can see that there are two entries for expenses in the month of November: $1,000 on November 5 and $900 on November 15. To find the total expenses for the month, we add these two amounts: $1,000 + $900 = $1,900.
Step 2: Determine the balance of the expenses account
In the ledger, both entries for expenses are listed as debits. Since debits increase the balance of expense accounts, the balance of the expenses account is the total of the debits, which is $1,900.
Step 3: Create the closing entry
The purpose of the closing entry is to transfer the balance of the expenses account to the income summary account. Since the expenses account has a debit balance of $1,900, we need to credit the expenses account for this amount and debit the income summary account for the same amount. This will reduce the balance of the expenses account to zero and transfer the total expenses for the month to the income summary account. The closing entry is:
Expenses 1,900 (credit)
Income Summary 1,900 (debit)
Step 4: Check the options to find the correct answer
From the given options, we can see that option (d) 1900 is the correct answer, as it matches the amount of the closing entry we calculated in Step 3.
Therefore, the correct answer is (d) 1900.
Can you help on this math problem please
The proportional equation for the given graph would be y = 2. 5 x
How to find the proportional equation?The proportional equation takes the form :
y = mx
Where:
m = slope or the change in y as a result of x
The value of the slope is :
= Change in y / Change in x
= ( 15 - 0 ) / ( 6 - 0 )
= 15 / 6
= 2. 5
The proportional equation is:
y = 2. 5 x
In conclusion, the proportional equation would be y = 2. 5 x .
Find out more on proportional equations at https://brainly.com/question/28777033
#SPJ1
WHAT IS THE NUMBER MULTIPLIED BY THE DIFFERENCE OF 4 AND 3 AND ONE HALF WILL GIVE THE PRODUCT TO ONE
Answer:
x = 2
Step-by-step explanation:
The number multiplied by the difference of 4 and 3 and one half will give the product to one" can be written as:
x * (4 - 3.5) = 1
Simplifying the expression within the parentheses, we get:
x * 0.5 = 1
Dividing both sides of the equation by 0.5, we get:
x = 2
Therefore, the number multiplied by the difference of 4 and 3 and one half that will give the product to one is 2.
What is the area of the circle in the figure below?
Question help the average income in a certain region in 2013 was $62 comma 00062,000 per person per year. Suppose the standard deviation is $27 comma 00027,000 and the distribution is right-skewed. Suppose we take a random sample of 100100 residents of the region.
a. Is the sample size large enough to use the central limit theorem for means? explain.
b. What are the mean and standard error of the sampling distribution?
c. What is the probability that the sample mean will be more than $2 comma 7002,700 away from the population mean?
The answer of the question about the points a, b, and c are the sample size is large enough to use the central limit theorem, the mean is $62,000, the standard error $2,700. and the probability of the sample mean is approximately 0.0002.
How the calculation draw the answer?A) The sample size is large enough to use the central limit theorem for means. This is because the central limit theorem states that the sampling distribution of the mean will approach a normal distribution as the sample size increases, and a sample size of 100 is generally considered to be large enough for the central limit theorem to apply.
B) The mean of the sampling distribution is equal to the population mean, which is $62,000. The standard error of the sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size, or $27,000 / √100 = $2,700.
C) The probability that the sample mean will be more than $2,700 away from the population mean can be found using the standard normal distribution. We can find the z-score for $2,700 using the formula z = (x - μ) / σ, where x is the sample mean, μ is the population mean, and σ is the standard error. Plugging in the values gives us z = ($2,700 - $62,000) / $2,700 = -22.04. Using a standard normal table, we find that the probability of the sample mean being more than $2,700 away from the population mean is approximately 0.0002.
Learn more about income:
https://brainly.com/question/25895372
#SPJ11
You owe $378.12 on your credit card. Because you have not paid your bill on time, you have to add a past due charge of $25 , an over limit fee of $50 , and a service charge of 12% of the amount owed on the credit card (without the past due charge and over limit fees). If you wish to send a check for the full amount immediately, how much should you write the check for? Round your answer to the nearest cent, if necessary.
You can write a check for the full amount of $303.12 right away because you currently owe $378.12 on your credit card.
what is amount ?aggregating attempting to quantify the number, maximum count, or time needed. The sum in front of you or being contemplated about is quite active. the overall verdict, its impact, or its import. three accountings: initial, interest, and indeed the third. Word equivalents include amounts, amounting, and amount. supple noun How much something is, how many you have, what you're using, or even how much you get is its quantity. He needs as much cash to get by.
given
owe $378.12 on your credit card
past due charge of $25
limit fee of $50
$378.12- ($25 + $50 )
= $378.12 - $75
= $303.12
You can write a check for the full amount of $303.12 right away because you currently owe $378.12 on your credit card.
To know more about amount visit :-
brainly.com/question/8082054
#SPJ1