Find the correct selling price. Round to the nearest dollar.
What was the clerk's error?
A rectangular prism has a length of 20 in., a width of 2 in., and a height of 3 1/4 in.
The prism is filled with cubes that have edge lengths of 1/4 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.
Step-by-step explanation:
1650
car un cube de 1/4dcoespond à 1/4 x 1/4 x 1/4 pour un volume de 1/64
the ratio of 12:3 in simplest form
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee’s vacation hours. In Company P if you work 10 hours you get 0.4 vacation hours, while in Company S if you work 100 hours you get 7 vacation hours. What is the difference in each friend’s vacation hours if both work 2,080 hours?
Answer:
62.4 hours
Step-by-step explanation:
For P:
Number of hours off on 10 hours of working=0.4
Number of hours on 2080 hours of working=2080/10*0.4
=83.2 hours
For S:
Number of hours off on 100 hours of working=7
Number of hours on 2080 hours of working=2080/100*7
=145.6 hours
The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.
the difference in vacation hours between the two friends is 62.4 vacation hours.
For company P:
We know that 10 working hours give 0.4 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:
[tex]\frac{10}{0.4} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]
Solving this we get:
[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{0.4 \times 2080}{10} = 0.04 \times 2080 = 83.2\ days[/tex]
Now for company S:
We know that 100 working hours give 7 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:
[tex]\frac{100}{7} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]
Solving this we get:
[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{7 \times 2080}{100} = 0.07 \times 2080 = 145.6\ days[/tex]
Finally, find the difference in vacation hours:
[tex]Difference = 145.6 - 83.2 = 62.4\ vacation\ hours[/tex]
Therefore, the difference in vacation hours between the two friends is 62.4 vacation hours.
What is 10 meters increased by 25%
Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
If you buy 20 tickets for $6.00, how much are you paying per ticket?
Question 1 options:
.10
.20
.30
.40
Molly says that 4/8 is always the same as 1/2. Andrew says that 4/8 and 1/2 are equivalent fractions, but they could be different amounts. Use the models below to determine which student is correct. Explain.
Yesterday, Jed's bank account balance was $26.34. Today, he made a withdrawal from his account. The current balance is $12.18. How much did he withdraw from his account?
$15.84
$26.34
$14.16
$16.84
A soup recipe calls for 23/4 quarts of broth. An open can of broth contains 1/2 quart of broth. How much more broth do you need to make the soup?
Find the length of x?
how to simplify -7+(-7)
HURRY PLEASE!!!!!
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player?
A) 225
B) 550
C) 1100
D) 1667
Answer:
Its B
Step-by-step explanation:
550 is the closest
Help please ....zzzghg
Answer: [tex]f=168[/tex]
Step-by-step explanation:
In the picture, there is a multiplication problem of [tex]f=56\times3[/tex]
We can use distributive property in it so that the multiplication problem become easier.
Distributive property:-[tex](b+c)a=ba+ca[/tex]
In the product, the larger number is 56
Write [tex]56=50+6[/tex]
Now, [tex]f=56\times3\\\Rightarrow\ f=(50+6)3\\\Rightarrow\ f=(50)3+(6)3\\\Rightarrow\ f=150+18\\\Rightarrow\ f=168[/tex]
Write a function rule for the table
I= $30 p= $500 r= 3%
Answer:2 years
Step-by-step explanation:
Please help!
4x(5y-x)-5y(4x-y)
A bamboo shoot is 20 inches tall at the zero and gross 24 inches each day which functions show below can be used to determine height F(n) of the bamboo after n days
It is given bamboo shoot is 20 inches tall when time is 0. It grows at the rate of 24 inches each day .
The y intercept b=20 and m= slope = 24.
Any equation can be written in the form y=mx+b where m is slope and b is y intercept.
The equation to determine height for n number of days can be written as
f(n)=24n+20
It can also be written as 24+the growth 1 day back or
F(n)=F(n-1)+24 where f(0)=20.
Among the given options equations 1 and 111 hold true
Option D is the right answer.
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%? Quick I need an answer!!!!
Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Ki’von begins scooping.
(a) What is the exact volume of the sink? Show your work.
(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.
(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.
A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of the sides of the enclosed area.
What is the maximum area that can be enclosed by the fencing?
_______ft^2
the distance between two cities on a map is measured to be 4 inches. the actual distance between the cities is 448 miles. what is the scale of the map?
ur answer would be 44.56
Which proportion would you use to set up to change 6 cups to pints?
Answer:
A) is the answer
Step-by-step explanation:
it worked
A model car has a windshield with dimensions 1/18 the size of a real car windshield. The rectangular windshield of the real car has an area of about 2318 sq in, with a width of 61 in. What are the side lengths of the model car's windshield? Round to the nearest hundredth?
Width of the model car's windshield is around 3.39 inches and the length is approximately 17.45 inches.
The area of the real car windshield is 2318 sq in, with a width of 61 in. The scale of the model car's windshield is 1/18 of the real car windshield.
To find the dimensions of the model car's windshield, first, calculate the area of the model windshield by dividing the real area by the square of the scale factor. Then, find the width and length of the model windshield by using the square root of the calculated area.
In this case, the width of the model car's windshield is around 3.39 inches and the length is approximately 17.45 inches.
Answer:
2.11 inches
Step-by-step explanation:
You want the side length of the windshield of a 1/18 scale model of a car with a 2318 in² windshield that has a width of 61 inches.
LengthThe side length of the actual windshield is found from ...
A = LW
L = A/W = (2318 in²)/(61 in) = 38 in
The length of the model windshield is 1/18 of this:
(38 in) × 1/18 = 2 1/9 in ≈ 2.11 in
The side lengths of the model car's windshield are 2.11 inches.
What is (5/8) multiplied by (2/3)
Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown. Which choice supports the graph that she has drawn. A) The slope is positive 1 2 and the y-intercept is (0,3). B) The slope is negative 1 2 and the y-intercept is (0, 3). C) The slope is positive 1 2 and the y-intercept is (0, -3). D) The slope is negative 1 2 and the y-intercept is (0, -3).
Answer:
B) The slope is negative 1/2 and the y-intercept is (0, 3).
Step-by-step explanation:
First we rewrite the equation so we can easily find the slope and y-intercept. We do this by isolating the y-term:
2x+4y = 12
We want to subtract 2x from each side:
2x+4y-2x = 12-2x
4y = 12-2x
4y = -2x+12
Now we divide both sides by 4 (everything on both sides gets divided!):
4y/4 = -2x/4 + 12/4
y = -2/4x + 3
y = -1/2x + 3
The slope is -1/2 and the y-intercept is 3 (the point (0, 3)).
Her graph shows the y-intercept at (0, 3); this part is correct.
The graph also shows we go down one and over two between points; this is a slope of -1/2, which is correct.
you are going to purchase a corvette for $60,00 the interest rate is 4% and you will be paying off the loan in 5 years. What will be your monthly payment?
What is the volume of a rectangular prism with side lengths14.7 m, 23.4 m, and 3.2 m?
Four brothers each bought two hot dogs and a bag of chips at the football concession stand if the bag of chips was 1.25 and the total was 18.20 what was the price of one hot dog
Answer:
$3.8
Step-by-step explanation:
A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
________m³
Answer:
Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]
Step-by-step explanation:
Given : A rectangular prism has a length of [tex]1\frac{1}{4}[/tex] centimeters, a width of 4 centimeters, and a height of [tex]3\frac{1}{4}[/tex] centimeters.
We have to find the volume of prism.
We know,
Volume of rectangular prism = length × width × height
Given : Length = [tex]1\frac{1}{4}[/tex] centimeters = [tex]\frac{5}{4}[/tex]
Width = 4 centimeters, and
height = [tex]3\frac{1}{4}[/tex] centimeters = [tex]\frac{13}{4}[/tex]
Thus, Volume of rectangular prism = [tex]\frac{5}{4}\times 4\times \frac{13}{4}[/tex]
Simplify, we have,
Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]
The volume of the given rectangular prism is 0.143184 cubic meters (m³).
The formula of the volume of a rectangular prism is:
Volume = Length × Width × Height
Given the dimensions:
Length = 114 cm
Width = 4 cm
Height = 314 cm
First, multiply the length and the width:
Length × Width = 114 cm × 4 cm = 456 cm²
Next, multiply this result by the height:
456 cm² × 314 cm = 143,184 cm³
Therefore, the volume of the rectangular prism is:
143,184 cm³
Now, to convert this into cubic meters (m³), note that 1 m³ = 1,000,000 cm³:
Volume in m³ = 143,184 cm³ ÷ 1,000,000 = 0.143184 m³
So, the volume of the prism is 0.143184 m³.