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KengaRu [80]
3 years ago
15

A cereal manufacturer packages breakfast cereal in individual - sized boxes measuring 2 inches by 3 inches by 4 inches. The same

product is also packaged in large family - sized boxes measuring 3 inches by 8 inches by12 inches. The contents of how many of the individual - sized boxes would require to fill one fa mily - sized box
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

2.5

Step-by-step explanation:


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What is the equation of this line?
andrew-mc [135]
One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =  \frac{y_{1}-y_{2}}{x_{1}-x_{2}}
Plugging this in for our points, we get \frac{0-5}{10-0} = -5/10=-1/2 as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)

Feel free to ask further questions!
4 0
3 years ago
Please help. I’ll mark you as brainliest if correct!
OLEGan [10]

Answer:

x +0y+0z = 400

-x +y+0z = 150

-8x +0y +z = 250

Step-by-step explanation:

The last column is the solution

The rest of the columns are the coefficients of the variables

x +0y+0z = 400

-x +y+0z = 150

-8x +0y +z = 250

5 0
3 years ago
Solve the following equation. Then place the correct mixed number in the box provided. 5x/7=22
natka813 [3]
We have that
<span> 5x/7=22
multiply by 7 both sides
5x=22*7-------> 5x=154
divide by 5 both sides
x=154/5
x=30.8--------> x=30 4/5

the answer is
x=30 4/5</span>
7 0
3 years ago
On a coordinate plane, 2 lines intersect around (0.4, 2.8). The graph on the left represents a system of equations. How can the
kompoz [17]

Answer:

How can the solution be located?

find the intersection

Which integers is the x-coordinate between?

0 and 1

Which integers is the y-coordinate between?

2 and 3

What is the solution approximated to the tenths place?

(0.4,2.8)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write “252 miles per 8 gallons” as a rate in simplest form
Harlamova29_29 [7]
252miles
------------  =  31.5 miles per gallon
8 gal
7 0
3 years ago
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