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nirvana33 [79]
2 years ago
13

Jon works in the shipping department at crunchy cereal. to find out how many cereal boxes fit in one shipping container, jon div

ides the volume of the container by the volume of one cereal box. using the diagram and jon's method, determine how many cereal boxes can be packed in the container.
a) 12 boxes

b) 18 boxes

c) 20 boxes

d) 24 boxes​
Mathematics
1 answer:
zysi [14]2 years ago
3 0

To know the number of boxes that can fit divide the volume of the shipping container by the volume of one cereal box.

<h3>How to calculate the number of boxes that can fit in the shipping container?</h3>

To do this use the formula;

  • volume of the shipping container/ volume of a box of cereal = number of cereal boxes that can fit.

<h3>How to calculate the volume of the container and the volume of the cereal boxes?</h3>

Since both the container and the boxes likely have a defined rectangular shape you can use this formula:

  • length x width x height

For example:

Dimensions of the container:

120 cm x 100 cm x 100 cm = 1200000 cubic centimeters

Dimensions of the boxes:

30 cm x 30 cm x 10 cm = 9000 cubic centimeters.

1200000 cc / 9000 cc = 133 boxes.

Note: This question is incomplete because the diagram is not provided; due to this, I answered it based on general knowledge.

Learn more about boxes in: brainly.com/question/2511671

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A family has 2 cars. the first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 2
lora16 [44]

Car 1: 15x

Car 2: 20y

15x+20y=1300

x+y=75

So y=75-x

15x+20(75-x)=1300

-5x+1500=1300

-5x=-200

x=40.

y=75-40

y=35

Car 1: 40 gallons

Car 2: 35 gallons


8 0
3 years ago
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangl
Yakvenalex [24]
Given:
Triangle:
height = 6ft
base = 4ft

Rectangle:
length = x
Width = 6 ft

Surface Area = 150ft²

Area of a Triangle = h*b / 2 = (6ft * 4ft) / 2 = 12ft²

Area of a rectangle = Surface Area - Area of a Triangle
A = 150 ft² - 12 ft² = 138 ft²

138 ft² = x * 6ft
138 ft² / 6 ft = x
23 ft = x.
6 0
3 years ago
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Aleonysh [2.5K]

Answer:

I think the answer is y=23x+3....

Sorry if I get it wrong! Have a nice day! (:

8 0
3 years ago
Which is the approximate solution to the system y = 0.5x + 3.5 and y = − 2/3 x + 1/3 shown on the graph? (–2.7, 2.1) (–2.1, 2.7)
AlekseyPX

Answer:

The approximate solution to the system is (-2.7, 2.1).

Step-by-step explanation:

To solve the system of equations \begin{bmatrix}y=0.5x+3.5\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix} you must:

\mathrm{Rationalize\:equations}\\\\\begin{bmatrix}y=\left(\frac{1}{2}\right)x+\left(\frac{7}{2}\right)\\ y=-\frac{2}{3}x+\frac{1}{3}\end{bmatrix}

\mathrm{Subsititute\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\begin{bmatrix}-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:-\frac{2}{3}x+\frac{1}{3}=\frac{1}{2}x+\frac{7}{2}\\\\-\frac{2}{3}x=\frac{19}{6}+\frac{1}{2}x\\\\-\frac{7}{6}x=\frac{19}{6}\\\\6\left(-\frac{7}{6}x\right)=\frac{19\cdot \:6}{6}\\\\-7x=19\\\\x=-\frac{19}{7}\approx-2.7

\mathrm{For\:}y=-\frac{2}{3}x+\frac{1}{3}\\\\\mathrm{Subsititute\:}x=-\frac{19}{7}\\\\y=-\frac{2}{3}\left(-\frac{19}{7}\right)+\frac{1}{3}\\\\y=\frac{15}{7}\approx 2.1

The approximate solutions to the system of equations are:

x=-2.7 ,\:y=2.1

5 0
3 years ago
Read 2 more answers
Indicate whether the function represents an exponential growth or decay.
svetoff [14.1K]

Answer:

1) decay

2) growth

3) growth

Step-by-step explanation:

A generic exponential function can be written as:

f(x) = A*(r)^x

Where:

A is the initial amount of something.

r is the rate of growth.

x is the variable, usually, represents time.

if r > 1, we have an exponential growth.

if r < 1, we have an exponential decay.

1) f(x) = (3/4)^x

in this case we have:

A = 1

r = (3/4) = 0.75

Clearly, r < 1.

Then this is an exponential decay.

2) f(x) = (1/6)*4^x

In this case we have:

A = (1/6)

r = 4

Here we have r > 1.

Then this is an exponential growth.

3) f(x) = (1/4)*(5/2)^x

in this case we have:

A = 1/4

r = 5/2 = 2.5

here we have r > 1, then this is an exponential growth.

8 0
3 years ago
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