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PIT_PIT [208]
3 years ago
6

Jeremy is packaging a stew containers.There are 8 3/4 cups of stew that need to put into 5 to go containers equally.How many cup

s of stew will be in each container?
Mathematics
2 answers:
Eddi Din [679]3 years ago
6 0

Answer:

Each container = 1 3/4 cups

Step-by-step explanation:

*** There are 8 3/4 cups of stew that MUST be put into five containers EQUALLY.

*** We are basically required to calculate the number of cups of stew that must be in each container.

Since 8 3/4 cups of stew needs to be equally distributed and placed in just about five containers, we will need to first convert 8 3/4 cups which is in mixed fraction into improper fraction in order to enable us to calculate successfully.

8 3/4 = [(4×8)+3]/4

= 35/4

We will now use a little bit of the principle of proportion to get through this:

If 8 3/4 cups must be equal in five containers, then one container will have ? number of cups:-

5 containers --------- 35/4 cups

1 container ---------- ? cups.

1/5 × 35/4

= 7/4 cups.

We will now convert it back to mixed fractions and we will have 1 3/4 cups.

Therefore, each container we will contain 1 3/4 cups

11111nata11111 [884]3 years ago
3 0

Answer:

1 3/4 cups

Step-by-step explanation:

In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so

(8 * 4) + 3 =  \frac{35}{4}

Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.

\frac{35}{4} / 5 = \frac{7}{4}

So each container will get 7/4 of the Stew or 1 3/4 cups

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Then you would get 4x = -8.

Next divide by 4 on both sides to get x by itself so do the inverse operation of what 4 was doing to x.

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What is the measure of z?
Ymorist [56]

Solving a system of linear equations, we conclude that the measure of side Z is 2√13

<h3>How to find the measure of side Z?</h3>

Remember the Pythagorean theorem. It says that the square of the hypotenuse is equal to the sum of the squares of the legs.

In the image, we can identify 3 right triangles, and with the Pythagorean theorem, we can write a system of 3 equations.

x^2 = y^2 + 4^2

z^2 = y^2 + 9^2

(4 + 9)^2 = z^2 + x^2

We want to solve that for z.

Now, the second equation can be rewritten to:

y^2 = z^2 - 9^2

Now let's replace the first equation into the third one, so we get:

(4 + 9)^2 = z^2 + (y^2 + 4^2)

Now we can replace y^2 by z^2 - 9^2

(4 + 9)^2 = z^2 + ((z^2 - 9^2) + 4^2)

Now we can solve this:

(13)^2 = z^2 + z^2 - 9^2 + 4^2

(13)^2 + 9^2 - 4^2 = 2*z^2

104/2 = z^2

52 = z^2

√52 = z

√(4*13) = z

√4*√13 = z

2√13 = z

We conclude that the measure of side Z is 2√13

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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