Bodie purchases a rectangular prism ( a box ) to store his dog food in. The prism is LaTeX: \frac{7}{4}7 4 inches long, LaTeX: \frac{9}{4}9 4 inches wide, and 3 inches in height. Bodie's dog food are these cute little cubes that are each LaTeX: \frac{1}{4}1 4 inches long, wide, and high. If Bodie carefully stacks the dog food into the prism, how many little dog food cubes will fit in the prism?

Answers

Answer 1

Answer:

84dog cubes

Step-by-step explanation:

First we need to get the volume of the rectangular prism and the little cubes

Volume of the prism = base area × height

Volume f the prism = length × width × height

Given

Length = 7/4in

Width = 9/4in

Height = 3in

Volume of the prism = 7/4×9/4×3

Volume of the prism = 63/48

Volume of the prism= 21/16 in³

Volume of the cube = L³

L is the length of one side of the cube

Volume of the cube =(1/4)³

Volume of tje cube = 1/64in³

Number of dog food cubes that will fit in = 21/16÷1/64

= 21/16×64/1

= 21×4

= 84

Hence 84 dog cubes will fit in


Related Questions

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A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours. ( Let s represent the screens and h represent the time)


1. Write an equation you can use to represent the above situation.


2. Use your equations to determine how long it would take to replace 34 screens.

Answers

Answer: 1. s*h  2. 20.4 hours

Step-by-step explanation:  1. s*h

2. 20.4 hours  hope this helps.

Anyone know???????????

Answers

Answer:

I cant help I wish I could but its a test

Step-by-step explanation:

Two identical sets of data are shown below.
Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply

mean
standard deviation
mode
median
range

Answers

Answer:

Standard deviation Range

Step-by-step explanation:

Two identical sets of data are:

Data Set 1: 58, 59, 62, 64, 67, 67 Data Set 2: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.

Mean

No, it could be greater or smaller

Standard deviation

Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.

Mode

No, it could be greater or smaller

Median

No, it could be greater or smaller

Range

Yes, it will increase as either lower or the higher value will be added to the data set.

You scred a 95% on your math quiz. The quiz was out of 60 points. How many points did you get?​

Answers

Answer: You got 57 points out of 60.

Step-by-step explanation: Hope this helps :)

Answer: you got 57 points out of 60

The length of a rectangle is 5 yd less than twice the width, and the area of the rectangle is 52 yd^2. Find the dimensions of the rectangle.

Answers

Answer:

the length is 8 and the width is 6.5

Step-by-step explanation:

6.5 x 2 = 13 - 5 = 8 x 6 = 52

The Calculator can confirm.

Compare A and B if 125% of A is equal to $120 and 135% of B is equal to $90
PLS HELP

Answers

The original value of A is greater than original value of B.

The given parameters:

125% of A = $120135% of B = $90

What is percentage of a number?The percentage of a number is fraction of the number expressed in hundred.

The original value of A is calculated as follows;

[tex]\frac{125}{100} \times A = 120\\\\1.25A = 120\\\\A =\frac{120}{1.25} \\\\A = \$ 96[/tex]

The original value of B is calculated as follows;

[tex]\frac{135}{100} \times B = 90\\\\1.35 B = 90\\\\B = \frac{90}{1.35} \\\\B = \$ 66.67[/tex]

Thus, the original value of A is greater than original value of B.

Learn more about percentages here: https://brainly.com/question/24304697

In a right triangle, the measure of one angle is twenty more than four times a number. The other angle is three times a number. What is the measure of the angles in degrees?

Answers

Using a photo is easier

i need help i will mark brainliest​

Answers

Answer:

-2?

Step-by-step explanation:

Multiply -1 by -4 to get 4

subtract 20 from 12 to get -8

[tex]\frac{-8}{4}[/tex] simplify to get -2

Un comerciante compro un lote de 15 calculadoras a 40 dolares cada una .Vendio 5 de ellas ,a orecio de promoción por100 dolares .Calcula el precio de venta de cada una de las restantes calculadoras para que gane 150 en la operación

Answers

The selling price of each of the remaining calculators should be $65 so that the merchant makes a profit of $150 in the entire operation.

The merchant bought a batch of 15 calculators at $40 each, so the total cost of the batch is:

Cost price = 15 calculators × $40/calculator

= $600

The merchant sold 5 calculators at a promotional price of $100 each.

So, the revenue from selling these 5 calculators is:

Revenue = 5 calculators × $100/calculator

= $500

Now, we need to calculate the profit made from the sale of these 5 calculators:

Profit = Revenue - Cost price

Profit = $500 - $600

= -$100 (Negative because the merchant incurred a loss on these 5 calculators)

The merchant wants to make a profit of $150 in the entire operation. So, adding the profit from selling the first 5 calculators:

Desired profit = $150

Current profit = -$100

Additional profit needed = Desired profit - Current profit

Additional profit needed = $150 - (-$100)

= $250

The merchant has 15 - 5 = 10 calculators left to sell.

We need to distribute the additional profit of $250 among the remaining 10 calculators:

Additional profit per calculator = Additional profit needed / Number of remaining calculators

Additional profit per calculator = $250 / 10 calculators

= $25

Now, let's calculate the selling price of each of the remaining calculators:

Selling price = Cost price + Additional profit per calculator

Selling price = $40 + $25 = $65

So, the selling price of each of the remaining calculators should be $65.

To learn more on Selling price click here:

https://brainly.com/question/29065536

#SPJ4

Complete question:

A merchant bought a batch of 15 calculators at 40 dollars each. He sold 5 of them at a promotional price of 100 dollars each. Calculate the selling price of each of the remaining calculators so that he makes a profit of 150 dollars in the operation

is this function linear or exponential?​

Answers

Answer:

This function is not linear.  

can someone help me plz

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2

y = 2x + b

-4 = 6 + b

b = -10

Thank, 5 star, braniliest if helpful

please please please help

Answers

Answer:

Equation 1: 15+7h

Equation 2: 10h

Sorry can't graph for you

Step-by-step explanation:

find the zeros of the function by factoring.

3x^2+10x=8​

Answers

Answer:

x = -4, 2/3

General Formulas and Concepts:

Algebra I

Standard Form: ax² + bx + c = 0Factoring

Step-by-step explanation:

Step 1: Define

3x² + 10x = 8

Step 2: Find Zeros

Rewrite in SF:                    3x² + 10x - 8 = 0Factor:                               (x + 4)(3x - 2) = 0Solve for x:                        x = -4, 2/3

Can somebody help me with the last 2. Will mark brainliest.

Answers

Sure what are the questions?

ILL GIVE BRAINLIEST.

The number of students participating in this year's fundraiser is 6 more than
times the
number of students who participated last year. If x represents the number of students who
participated last year, which expression represents the number of students participating in
this year's fundraiser?

Answers

Answer:Simplifying

(5x + -6)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(-3 + 5x) = 0

Multiply (-6 + 5x) * (-3 + 5x)

(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0

((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0

((18 + -30x) + 5x * (-3 + 5x)) = 0

(18 + -30x + (-3 * 5x + 5x * 5x)) = 0

(18 + -30x + (-15x + 25x2)) = 0

Combine like terms: -30x + -15x = -45x

(18 + -45x + 25x2) = 0

Solving

18 + -45x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -5x)(6 + -5x) = 0

Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying

3 + -5x = 0

Solving

3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -5x = 0 + -3

-5x = 0 + -3

Combine like terms: 0 + -3 = -3

-5x = -3

Divide each side by '-5'.

x = 0.6

Simplifying

x = 0.6

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying

6 + -5x = 0

Solving

6 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -5x = 0 + -6

-5x = 0 + -6

Combine like terms: 0 + -6 = -6

-5x = -6

Divide each side by '-5'.

x = 1.2

Simplifying

x = 1.2

Solution

x = {0.6, 1.2}

Step-by-step explanation:

please brainliest this is as good as i could get to an answer to your question

Answer:

5x/3+6

Step-by-step explanation:

Match each algebraic expression to the correct simplified expression.
x
X
10n- 3m
(11n - 3m) - n
X
8x + 5y
3m - (3n + 10m)
3x - 7y - (-2x) - Y
-7m - 31
[10y - (-9x)] - (5y + x)
X
5x - 8y
Plss help

Answers

Answer:

!

Step-by-step explanation:

Graph the line that passes through the points (6, 8) and (2, -2)and determine the equation of the line.

Answers

Answer:

y = 2.5x – 7

or

5/2x- -7

Can someone help me with this: Write a word phrase that equals the equation x + 7x = 1200.

Answers

Answer:

A number plus seven times itself equals 1200.

Step-by-step explanation:

The number is "x", and 7 times itself is 7 "x". When one adds the two, they get 1200. Hence it models the situation;

x + 7x = 1200.

Answer:

Step-by-step explanation:

marc has x amount of money. His mom offers to give him seven times his money as a Christmas gift. when he combined,  his starting money and what his mom gives him, it added up to $1200. What was marc’s starting money (x)

momom pur $550 into a savings account for one year. The
rate of interest on the account mos 61% How much was
doilers and cents (Round to the
The nearest cent)

Answers

Step-by-step explanation:

you have to divide first then you round

What best describes the pair of angles below?

Answers

Answer:

i want to see the choices

Four siblings buy a gift for their father on his birthday. Each sibling contributes (pays) the same amount of money towards the gift.
The gift ends up coming to $63 and after paying for the gift, there is some money left over which the siblings equally split.

Write an expression to represent the amount of money each sibling will get back after the gift is paid for. Use x to represent the amount of money paid by each sibling.

If each sibling contributed $18 towards the gift, how much money did each sibling get back?

tip: they have paid a total of 40 dollars, so subtract what they bought, which should be 3 times each of the items added together.

Answers

Answer:

63÷4=$15.75(each sibling gave which made it up to $63)

63-40=$23(amount added together-amount paid)

$23÷4=$5.75(each sibling got back)

63-5.75x

if each contributed $18:

18×4=$72(each contribute 18 dollars so multiply by 4 because 4 siblings)

72-40=32(minus 40 from amount they contributed)

32÷4=$8(divide by 4 to see what each sibling got)

Each sibling got back $8

Answer:

23.75

Step-by-step explanation:

its c 4.75x5

Consider angle θ in Quadrant I, where cosθ = 513 . What is the value of sinθ?

Answers

Answer:

12/13

Step-by-step explanation:

According to SOH CAH TOA;

cos theta = adjacent/hyp = 5/13

adj = 5

hyp = 13

Get the opposite

opp = √13²-5²

opp = √169-25

opp = √144

opp = 12

Get sin theta

sin theta = opposite/hyp

sin theta = 12/13

Hence the value of sin theta is 12/13

i got work due in 6 mins pls help me ill give brainliest 5 stars and thank you

Answers

Answer: ↓↓↓

Step-by-step explanation:

a. 8 + x + 2

Combine like terms

x + 10 or 10 + x

b. 14 + y - 6

Combine like terms

8 + y or y + 8

c. 7 - n + 10

Combine like terms

17 - n or -n + 17

A web designer is placing images on a website using polar coordinates along the lines shown in the diagram. Assume that the intersection of the lines is the pole and the right horizontal segment is the polar axis.
Which equations represent the lines on which the designer places the images? Check all that apply.​

Answers

Answer: 1st, 3rd, and 5th

Step-by-step explanation: Big trust

Answer:

1st, 3rd, 5th

Step-by-step explanation:

just did it on edge and got it right

PLEASE MARK ME BRAINLIEST

2) Write down the slope of the line.

a) Joining P(1,1) Q(2,3).

b) parallel to the line joining A(-1,5) & B(-6,-7).

c) perpendicular to the line joining B(2,-3) & S(-4,1)​

Answers

Answer:

(a) m =(y2-y1)/(x2-x1)

m=(3-1)/(2-1)

m=2

A cylindrical tank with radius 3m is being filled with water at a rate 4m^³/min.How fast is the height of the water increasin?

Answers

Given :

A cylindrical tank with radius 3m is being filled with water at a rate 4m³/min.

To Find :

How fast is the height of the water increasing.

Solution :

We know, volume of cylinder is given by :

[tex]V = \pi r^2h[/tex]       ....1)

Also, we have given that, [tex]\dfrac{dV}{dt} = 4 \ m^3/min[/tex] .

Differentiating equation 1) w.r.t  t we get :

[tex]\dfrac{dV}{dt} =3^2 \pi \dfrac{ dh }{dt}\\\\\dfrac{dh}{dt} = \dfrac{4}{3^2 \times \pi}\\\\\dfrac{dh}{dt} = 0.141 \ m/min[/tex]

Therefore, the height of water is increasing at a rate of 0.141 m/min.

What is the median of this group of numbers?
40, 40, 50, 50, 60, 80, 80, 80

Answers

Answer:

65

Step-by-step explanation:

Answer:

Step-by-step explanation:

given:

40, 40, 50, 50, 60, 80, 80, 80

There are 8 numbers in the data set. To split this data set down the middle, that is between 50 and 60:

40, 40, 50, 50 || 60, 80, 80, 80

So now to get the median you have to do the following/

(50+60)/2 which equals 55.

Median is 55.

The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides. 20

Answers

Answer:

Internal angle = [tex]160^\circ[/tex]

Number of sides = 18

Step-by-step explanation:

Given that:

We have a regular polygon with number of sides unknown.

Measure of an exterior angle of the polygon = [tex]20^\circ[/tex]

To find:

Measure of an interior angle and the number of sides of the polygon?

Solution:

Let us have a look at the relation of sum of external angles.

Sum of one internal angle and its corresponding external angle = [tex]180^\circ[/tex]

Internal angle + external angle = [tex]180^\circ[/tex]

Internal angle = [tex]180^\circ[/tex] - [tex]20^\circ[/tex] = [tex]160^\circ[/tex]

Sum of all the external of a regular polygon = [tex]360^\circ[/tex]

All the external angles will be equal because it is a regular polygon.

Let the number of sides = [tex]n[/tex]

Therefore,

[tex]n \times 20^\circ = 360^\circ\\\Rightarrow n = 18[/tex]

Therefore, the answers are:

Internal angle = [tex]160^\circ[/tex]

Number of sides = 18


40% of the sandwiches on a lunch platter are ham. If there are 8 ham sandwiches, how
many sandwiches are on the lunch platter in all?

Answers

Answer:

20 sandwiches is the total

Step-by-step explanation:

20 x 0.40 = 8

3+p=8 what’s does p equal

Answers

Answer:

p=5

Step-by-step explanation:

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