a rectangular box has a volume of 480 cubic inches. The height of the box is 5 inches. The ratio of the length of the box to the width of the box is 3 to 2. What is the measure of the width of the box?

Answers

Answer 1
W^2= 64
take sqrt
W= 8
plug value of W
L=3W/2
L=3*8/2
L=12
L=12, W= 8 , H =5
CHECK
12*8*5= 480 cu.inches

Related Questions

A new, trendy department store is experiencing exponential growth across America. The chain began in 2004 when it opened 16 stores in Texas. Since then, it has grown by 35% in new store openings each year. Create an exponential function below to show the number of stores each year, x, since 2004.

Answers

The equation is y=16(1.35)ˣ.

This equation is of the form y=a(1+r)ˣ, where a is the initial amount, r is the rate of growth expressed as a decimal number, y is the total, and x is the amount of time.  For our problem, a is 16; b is 0.35 (35%=35/100=0.35).  This gives us the equation above.

combine terms 12a+26b-(4b+16a)

Answers

12a-16a=-4a ; 26b-4b= 22b
-4a+22b is your answer

#22 #24 and #26 HELP

Answers

#22)
4(t - 8) + 20 = 5
Distribute the 4.

4t - 32 + 20 = 5
Combine like terms.

4t - 12 = 5
Add 12 to both sides.

4t = 17
Divide both sides by 4.

t = 4.25


#24)
17 = -5(3 + w) + 7
Distribute the -5.

17 = -15 - 5w + 7
Combine like terms.

17 = -8 - 5w
Add 8 to both sides.

25 = -5w
Divide both sides by -5.

w = -5


#26)
9 = -(r - 5) + 11
Distribute the -.

9 = -r + 5 + 11
Combine like terms.

9 = -r + 16
Subtract 16 from both sides.

-7 = -r
r = 7

20 POINTS TWO QUESTIONS AND I WILL MARK BRAINLIEST THANK YOU SO MUCH!!!!!

Image 1. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?

Image 2. Below are two parallel lines with a third line intersecting them. What is the measure of angle x?

Answers

1. 136
2. 107
The angles are the same if you look closely

What are the dimensions of the rectangle shown below? Remember to use the axes on the coordinate grid to help you.

answer chices are not there i need to type it in

Answers

each grid line is 2 units

A is located on X = -10, B is located on X = 2
 the distance between A and B  = 12 units

A is located on Y = 2, D is located on Y = -6
the distance between A and D = 8 units

 the dimension of the rectangle is 12 by 8




The correct answer to this question is the fact the rectangle is 12 by 8!

Is my answer correct or incorrect? Explain please. Thank you

Answers

yes because 3 * 2 * 4 = 24
3 sandwich choices
2 side item choices
4 beverage choices

Let's say the sandwich choices were PB&J, Ham, and Turkey
Let's say the sides were fries and mandarin oranges
Let's say the beverages were water, orange juice, milk, soda

PB&J
Ham
Turkey

                                        Fries
                                        Mandarin Oranges

Water
OJ
Milk
Soda

The combinations can be as follows:

PB&J, Fries, Water
PB&J, Fries, OJ
PB&J, Fries, Milk
PB&J, Fries, Soda
PB&J, Mandarin Oranges, Water
PB&J, Mandarin Oranges, OJ
PB&J, Mandarin Oranges, Milk
PB&J, Mandarin Oranges, Soda
Ham, Fries, Water
Ham, Fries, OJ
Ham, Fries, Milk
Ham, Fries, Soda
Ham, Mandarin Oranges, Water
Ham, Mandarin Oranges, OJ
Ham, Mandarin Oranges, Milk
Ham, Mandarin Oranges, Soda
Turkey, Fries, Water
Turkey, Fries, OJ
Turkey, Fries, Milk
Turkey, Fries, Soda
Turkey, Mandarin Oranges, Water
Turkey, Mandarin Oranges, OJ
Turkey, Mandarin Oranges, Milk
Turkey, Mandarin Oranges, Soda

So your answer is correct: There's 24 lunch combinations that can be made.

Hope that helps!

Pierce used the proportion y/x=7/2 when deriving the equation of a line with similar triangles.select 2 that apply and explain

a.the slope of line is 0
b.the slope of line is 2/7
c.the slope of line is 7/2
d. the y int is 0
e.the y int is 2/7 f the y int is 7/2 and again explain plz

Answers

[tex] \frac{y}{x} = \frac{7}{2} [/tex]
Cross multiply.

2y = 7x
Solve for y.

y = 7/2x


C) The slope of the line is 7/2
D) The y-intercept is 0

You know the slope is 7/2 because it is the coefficient of x.
You know the y-intercept is 0 because there is no other number besides 7/2x, which is the slope.
Final answer:

The proportion y/x = 7/2 indicates that the slope of the line is 7/2. Without additional information, we cannot determine the y-intercept from this proportion.

Explanation:

Pierce used the proportion y/x = 7/2 when deriving the equation of a line with similar triangles. This proportion suggests that for every 2 units of increase in x, y increases by 7 units. Therefore, the slope of the line, which is the ratio of the change in y (rise) to the change in x (run), would be 7/2. Thus, the correct answer is (c) the slope of the line is 7/2.

Because the question does not provide a specific point on the line, we cannot determine the exact y-intercept from the information given. However, since the proportion does not indicate any specific y-intercept value, we cannot conclude that it is 0, 2/7, or 7/2 without additional information. We only know the relationship between y and x given by the slope.

what does x equal? ......

Answers

Let's look at this. We can see that both sides are equal.
x + 9 = 9 + xis the same thing asx + 9 = x +9
No matter what you put x to, they will be equal to each other. This means that x can equal anything, unless it is somehow not a number. For example, it cannot be infinity or negative infinity because it is not a number. This means that x can equal any real number or imaginary number.

The triangle shown must be a right triangle if x= in

A) 8
B) 12
C) 16
D) 144

Answers

Here is how you do it!

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = 12

The square root of 144 is 12, so your answer is B) 12

Hope this helps!

Answer:

The value of x is 12 in

Step-by-step explanation:

Given the right angled triangle having sides 5 in , 13 in and x in

We have to find the value of x.

By applying Pythagoras theorem, we get

[tex]Hypotenuse^{2} = Base^{2} + Perpendicular^{2}[/tex]

⇒ [tex]13^{2}=x^{2}+5^{2}[/tex]

⇒  [tex]169=25+x^{2}[/tex]

⇒  [tex]x^{2} = 144[/tex] ⇒ x=12 in

Hence, length of base is x in i.e 12 in

Pleaseee help

If you multiplied a number by 1/2, the result would be

1. Less than 1
2. Half of the original number
3. A fourth of the original number
4. Twice as large as the original number

Answers

a fourth of the original number
The answer is 2. You get half the original answer.

PLEASE HELPPPPPPPPPPPPPPP

Answers

8-(2/x)
"Minus" means subtraction, and "quotient" means division.
8 - 2/x
"eight minus" 8-
"the quotient" .. ÷ ..
"of two" 2 ÷
"and a number x" 2 ÷ x
8 - 2/x
i think, i'm not 100% sure

Among the expressions, two of them have the same result. Which are they?

a. -25+18+9+(-15)–(-13)
b. (-40)÷(-2)×15-100
c. (-7)×(-5)–(-37)–72

People help me, my account is going wrong!

Answers

I just plugged all three of these equations into a calculator and A and C both equal 0. 

Hope this helped.

What is 1 over 10 as a percentage?

Answers

It's 10%! ;3 (I think.)

Answer:

10% or .1 or .10

Step-by-step explanation:

what number when increased by 75% of itself will equal to 80?

Answers

[tex] p\%=\dfrac{p}{100}\to 75\%=\dfrac{75}{100}=0.75\\\\n-the\ number\\\\the\ equation:\\\\n+0.75n=80\\\\1.75n=80\ \ \ \ |:1.75\\\\n=\dfrac{80\cdot100}{1.75\cdot100}\\\\n=\dfrac{8000}{175}\\\\n=\dfrac{8000:25}{175:25}\\\\n=\dfrac{320}{7}\\\\n=45\dfrac{5}{7} [/tex]

Simplify the expression. (2x^2y)^3

Answers

Answer:

8x6y3 3 and six put at top between y and and three

Sure, I'd be happy to show you how to simplify this expression. Here are the steps:

1. In this expression, we have three numbers that are being multiplied together, 2, x^2, and y, and the entire product is raised to the power of 3.

2. Let's take each part of the product individually and raise them to the power of 3.

  For the first part, 2 raised to the power of 3: this gives us 8, since 2 * 2 * 2 equals 8.

3. The next part is [tex]x^2[/tex] raised to the power of 3. When raising a power to another power, we multiply the powers together. Therefore, (x^2)^3 becomes x^(2*3), which can be simplified to x^6.

4. Finally, y raised to the power of 3 remains as y^3.

5. So, when we put together all three parts, we obtain the simplified expression, and (2x^2y)^3 simplifies to 8x^6y^3.

So, the simplified expression for (2x^2y) ^3 is 8x^6y^3.

To know more about expression:

https://brainly.com/question/34132400

#SPJ2

Find the mean and median of these data: 2,5,9,11,17,19

Answers

Mean = add up all the numbers and divide the sum by the number of numbers you added up.

Median = arrange the data from least to greatest and find the number in the middle. 

2, 5, 9, 11, 17, 19

Mean:
2 + 5 + 9 + 11 + 17 + 19 = 63
63 ÷ 6 = 10.5
The mean of the data is 10.5.

Median:
2, 5, 9, 11, 17, 19
The middle numbers are 9 and 11.
Find the mean between them, which is 10. 
The median of the data is 10.

In a bag, there are cards each with one of the numbers {1, 2, 3, 4, 5} written on them. Kenneth reaches into the bag, selects a card, and then replaces it. He repeats this 16 times with the following results.


Number on selected card 1 2 3 4 5

Frequency 5 3 2 4 2


What is the relative frequency that Kenneth selects the card with 4 written on it? Enter your answer in the box.


[]%

Answers

The relative frequency of drawing a 4 is 25%.

A relative frequency gives us the fraction of times an event occurs.

Kenneth drew the 4 card 4 times out of 16 draws; this gives us 4/16 = 1/4 = 25%.

ow do I put circumference, diameter, and pi into a formula

Answers

Just use the formula to find circumference!

C = ᴨd 

A pizza corner offers a choice of 2 types of pizza bases and 8 types of pizza toppings. How many different single topping pizzas can a customer order?

Answers

8 times 2 is 16 bud

A full punch bowl holds 4 gallons of punch , if each glass holds 4 ounces of punch,how many glasses can be filled from a full punch bowl?

Answers

128 cups could be filled.
128 glasses can be filled from the punch bowl

Help I can’t find the area

Answers

We have
two rectangles 71cm x 23cm
two rectangles 71cm x 28cm
two rectangles 23cm x 28cm

The surface area of this figure:

[tex]A_S=2\cdot71\cdot23+2\cdot71\cdot28+2\cdot23\cdot28\\\\=3,266+3,976+1,288=8,530\ cm^2[/tex]

Answer: A. 8,530 cm².

It takes typically $27 to fill up your tank up with gas. You have allotted no more than $108 on gasoline for your trip. A) Write and B) solve an inequality to find out how many times you will get to fill up your tank up witj gas.

Answers

A) 27x ≤ 108
B) x ≤ 4

Explanation
Let x be the number of times you can fill up.  It takes $27 each time, so this gives us 27x.  We are budgeting no more than $108 on gas, so this means our inequality will be "less than or equal to":
27x ≤ 108

To solve this, we divide both sides by 27:
27x/27 ≤ 108/27
x ≤ 4

Final answer:

The student can fill up their gas tank up to 4 times within their $108 budget for gasoline. The inequality used to determine this is 27n ≤ 108, solved by dividing both sides by 27.

Explanation:

To solve the student's question regarding how many times they can fill up their gas tank within a $108 budget, we need to set up an inequality and solve it. Let's define the variable n as the number of times they can fill up their tank.

Step A: Write the Inequality

Since it costs $27 to fill up one tank, and the student has budgeted no more than $108 for gas, the inequality will be:

27n ≤ 108

Step B: Solve the Inequality

To find out how many times the student can fill up the tank, we divide both sides of the inequality by 27:

n ≤ [tex]\frac{108}{ 27}[/tex]

n ≤ 4

Therefore, the student can fill up their gas tank up to 4 times within their budget.

The front flap of a tent is shaped like an isosceles triangle. The base of the triangle is 16 feet and the height of the triangle is 6 feet. What is the length of the congruent sides of the triangle?

Answers

thats easy sense isosceles triangles are small you need to have small angles so you just add 16 and 6 to get both of the angles so that equals 22 and there is your answer 22 feet ur welcome.

What is the slope that passes through the pair of points? (-1, 4), (3, 12)
A. -2
B. 2
C. 4
D. -4

Answers

Use the formula (since I can’t put special characters) y sub 2 minus y sub 1 divided by x sub 2 minus x sub 1 and plug the coordinates into this equation
Answer:
slope = 2

Explanation:
The slope of the line can be calculated using the following rule:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]

In the given, we have:
point (-1 , 4) representing (x1 , y1)
point (3 , 12) representing (x2 , y2)

Substitute with the givens in the above formula to get the slope as follows:
slope = [tex] \frac{12 - 4}{3 - -1} = 2[/tex]

Hope this helps :)

x^2-6x=-1 If the quadratic equation has real solutions, what are the solutions? Explain. Estimate irrational solutions to the nearest tenth.

Answers

x^2 -6x +1 = 0
a=1
b = -6
c = 1

Use the quadratic formula
x = [-b  +- sq root (b^2 -4ac)] / 2a
x = [--6 +- sq root (36 - 4)] / 2
x = [ 6 +- sq root (32)] / 2
sq root (32) = 5.657

x1 = [ 6 + 5.657] / 2
x1 = 11.657 / 2
x1 = 5.8285
x1 = 5.82 (to nearest tenth)

x2 = [ 6 - 5.657] / 2
x2 = .343 / 2
x2 = .1715
x2 = .2 (to nearest tenth)


Please someone help!!! The sides of the base of a square right prism are 16 cm each and the height of the prism is 10 cm. what is the surface area of this prism?

Answers

the surface area is 1152 cm^2

Answer:

C

Step-by-step explanation:

It takes a boat going upstream 11 hours and 9 hours downstream. What is the speed of The boat if the current is 2mph

Answers

well the speed of the boat changes depending on if it is up or down stream.
if it is going down stream it is with the current so there is a 2 mph assistance.
if upstream then 2 mph resistance.
i feel like there should be a given distance
11 hours to get to where, how far?
or simply answer 11-2=9 and 9+2=11. So possibly average it at 10.
Remark
You don't need the distance. The only thing that matters is the times (and assuming the same rate is used no matter what the current is doing). The distance coming and going is the same.

d_coming = d_going
t upstream = 11 hours
t downstream = 9 hours
current = 2 mph
rate_up = rate_down = r

General formula
d = r * t

Specific Formula
11(r - 2) = 9(r + 2) Note he seems faster with less time. That olnly means that the current is going in the same direction he is.

Solve
11(r - 2) = 9(r + 2)
11r - 11 =9r + 18    add 11 on both sides.
11r = 9r + 18 + 11  
11r = 9r + 29          subtract 9r from both sides.
11r - 9r = 29 
2r = 29                   divide by 2
r = 29/2
r = 14.5

Answer
The speed of the boat is 14.5 miles per hour.

It took 25.5 bottles to fill a cooler and each bottle contained 1.8 liters. How many liters are in the cooler

Answers

There are 45.9 liters in the cooler. 25.5 * 1.8 is 45.9.
There are 45.9 liters in the cooler 25.5*1.8

Which triangles are congruent by ASA

Answers

Answer:

Option B. ΔABC ≅ ΔFGH

Step-by-step explanation:

In the given picture if we compare ΔFGH and ΔABC

side FG = BC

and AB = GH

and angle between them are equal

∠FGH = ∠ABC

Therefore SAS property of congruence is true for these triangles.

Option B. ΔABC ≅ ΔFGH

The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes. What was Alex's average speed?

Answers

his average speed was 50 m/min
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