Answer: Unit rate = 4/35 of a gallon per hour
=============================================
Work Shown:
3 & 1/2 = 3 + 1/2
3 & 1/2 = 6/2 + 1/2
3 & 1/2 = (6+1)/2
3 & 1/2 = 7/2
The faucet drips 2/5 of a gallon in 7/2 hours
2/5 gallon : 7/2 hours
2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2
4/5 gallon : 7 hours
(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7
4/35 gallon : 1 hour
The unit rate is 4/35 of a gallon per hour.
"Per hour" means "every 1 hour".
Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
Can someone help me with this please
Okay I will help you.
9 7/9 simplified and in mixed number form.
PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS
Commutative property can be expressed as
Answer:
a+b=b+a, where a and b are integers
Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope
Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet
Answer:
6 feet = 1.8288 meters
Step-by-step explanation:
Hope this helps and have a phenominal day!
4p+2q=62
8p−q=59
Multiply 4p+2q=62 by 2, then subtract 8p−q=59 from the result.
Multiply 8p−q=59 by 2, then add the result to 4p+2q=62.
Do both strategies work for solving the system? If so why?
Answer:
3/2 and 6/9
Step-by-step explanation:
the teacher said i was right
someone pls help, find the length of the segment
the segment is 4 units long
hope this helps
Can you guys help me with this geometry problem tysm
Answer:
m∠UVW = 12°
m∠XYZ = 78°
Step-by-step explanation:
m∠UVW = (x - 10)°
m∠XYZ = (4x - 10)°
∠UVW + ∠XYZ = 90°
(x - 10) + (4x - 10) = 90
x - 10 + 4x - 10 = 90
5x - 20 = 90
5x = 110
x = 22
m∠UVW = (22 - 10)° = 12°
m∠XYZ = (4(22) - 10)° = 78°
If jacks age is three years more than twice Trinas age, t, then which of the following represents the sum of their ages in terms of it
1. 2t+3
2. 2t +3t
3. 2t^2+3t
4. 3t+3
emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?
Answer:
25.5 per hour
Step-by-step explanation:
497.25/19.5
Answer:
497.25 devided by 19.5= $25.5 per hour
Step-by-step explanation:
Write a pair of numbers whose greatest common factor is 10 will give brainlist
Answer:
20 and 10
Step-by-step explanation:
Answer:
20 ,10
Step-by-step explanation:
hope it helps
What is the y-intercept of the line with equation 3y - 4x = 9?
Answer: (0, 3)
Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.
So we have 3y - 4(0) = 9.
This simplifies to 3y = 9.
Dividing both sides by 3, we find that y = 3.
So our y-intercept is 3 which we can write as the ordered pair (0, 3).
Whats the answers please
Answer: D,C,B
Step-by-step explanation:These are the answers
John had a baseball cards until he gave x cards away. How many cards does he have now?
Answer:
I don’t think the question makes sense
I have no idea how to do this
Answer:
it's ok!! thats why you have us!! we're here to help!
13/z
have a nice day!! also hope this helps!
Step-by-step explanation:
Answer:
13 on top
Z on the bottom
Step-by-step explanation:
6 plus 7 is 13
What is the estimated sum of 503, 472, 486, 499, 539, and 522?
Answer:
3021
Step-by-step explanation:
Answer:
Your answer is: Estimated is: 3,000
The real answer was:
↓
3,021.
Step-by-step explanation:
Hope this helped : )
Evaluate 64 to the power of 1/2 x 10 to the power of -2
pls help will give brainliest
Answer:
14 units
Step-by-step explanation:
Answer:
[tex]\sqrt{116[/tex] ( award branliest :) )
Step-by-step explanation:
When you insert both points into the distance formula which is
d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex] you arrive at the final answer of [tex]\sqrt{116}[/tex]
solve the system of equations
y=x-2
x+y=10
Answer:
Step-by-step explanation:
x + x - 2 = 10
2x - 2 = 10
2x = 12
x = 6
y = 6 -2
y = 4
(6,4)
2x^2+2=3x complete the square i need full explaination ASAP
Answer:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
Step-by-step explanation:
2x² + 2 = 3x
Subtract 3x from both sides so it equals 0:
2x² - 3x + 2 = 0
Divide both sides by 2:
x² - 3/2x + 1 = 0
Subtract 1 from both sides:
x² - 3/2x = -1
Take -3/2 and multiply it by 1/2 then square it:
(-3/2 • 1/2)²
9/16
Add this to both sides:
x² - 3/2x + 9/16 = -1 + 9/16
Rewrite the perfect square on the left and add the terms on the right:
(x - 3/4)² = -7/16
Square root both sides to get rid of the square:
x - 3/4 = ± √-7/16
Simplify the radical:
x - 3/4 = ± √7i/4
Add 3/4 to both sides:
x = 3/4 ± √7i/4
Your two solutions are:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
You can also convert to decimal if you need to (but I don’t recommend it):
x = 0.75 + 0.661438i
x = 0.75 - 0.661438i
Hope this helps!
Help:(
At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two
switches are used in a device, what is the probability that both switches are good?
0.9604
b. 0.02
C. 0.98
d. 49
Answer:
A) 0.9604
Step-by-step explanation:
Because it is.
UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01
Answer:
There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.
Step-by-step explanation:
In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.
The information provided are:
[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]
The hypothesis for the test can be defined as follows:
H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.
Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
[tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]
[tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]
Thus, the test statistic value is -2.43.
Compute the p-value of the test as follows:
[tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]
*Use a t-table.
Thus, the p-value of the test is 0.0188.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.0188 > α = 0.01
The null hypothesis will not be rejected at 1% level of significance.
Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.
4 Rosie has 150 caramel
apples to sell. Each caramel apple is covered with one topping.
of the caramel apples are covered with peanuts.
are covered with chocolate chips.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
F
50
G 80
H 70
J 30
7.3B
Answer:
I'd say 50
Step-by-step explanation:
I just divided 150 by 3 since I only saw 3 toppings.
are 3,000:18,000 and 10,000:32,000 equivalent
Answer:
No
Step-by-step explanation:
they are not equivalent
For the expression 5-5x to have a negative value, what must be true about the value of x?
Answer:
x>1
Step-by-step explanation:
let's make this an inequality.
5-5x<0
let's solve.
-5x<-5
x>1
therefore, the value of x must be larger than 1 for this statement to make sense.
The value of x has to be greater than 1 in order for the expression to make sense.
Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?
Answer: $61.76
Step-by-step explanation:
Multiply the price of coffee ($9.65) times the weight (6.4)
=$61.76
Answer:
50.18
Step-by-step explanation:
.
How do you do these questions and explanations please?
Step-by-step explanation:
1. Standard error is SE = σ / √n. As n increases, SE decreases.
2. Degrees of freedom is d = n − 1. As n increases, d increases.
3. The t statistic is t = (x − μ) / SE. As SE decreases, t increases.
4. As n increases, t* decreases and approaches z*.
5. As the t statistic increases, the P-value decreases.
6. Margin of error is t* times SE. As n increases, MoE decreases.
7. The width of the confidence interval is 2 MoE. As MoE decreases, the width of the confidence interval decreases.
each square below represents one whole
Answer:
hello…
the colored part is 20%
searching online for airline tickets. Two weeks ago, the cost to fly from to was $210. Now the cost is $355. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answer:ggStep-by-step explanation:
Answer:
192%
Step-by-step explanation:
355+50=405
405•100/210=192.857%
increse of 192.857%
Which term describes −8/27?
Answer:
8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?
Step-by-step explanation:
8 /27
is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions :
Find the GCD (or HCF) of numerator and denominator
GCD of 8 and 27 is 1
Divide both the numerator and denominator by the GCD
8 ÷ 1
27 ÷ 1
Reduced fraction:
8 /27
Therefore, 8/27 simplified to lowest terms is 8/27.
Answer:
-8/27
Step-by-step explanation: