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dusya [7]
2 years ago
5

Solve. -3 + 9x = 24 (quick)

Mathematics
2 answers:
kirill [66]2 years ago
8 0

Answer: x = 3

Step-by-step explanation:

-3 +9x = 24

9x= 24+3

9x=27

9x/9= 27/9

x=3

Rufina [12.5K]2 years ago
3 0

Answer:

<u>x = 3</u>

Step-by-step explanation:

-3 + 9x = 24

rearrange:

9x - 3 = 24

Add 3 to both sides of the equation:

9x - 3 <u>+ 3 </u>= 24 <u>+ 3</u>

9x = 27

Divide both sides by 9:

9x/9 = 27/9

x = 3

Have a nice day!

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3 years ago
A 20-oz iced tea at a certain restaurant has 90 calories. How many calories are there in a 36-oz iced tea?
kvv77 [185]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,
Doss [256]

Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

Step-by-step explanation:

Let x be the number of ounces of chicken

let y be the number of ounces of grains

We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.

Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

Grain has protein in 1 ounce = 2

Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

Grain has fat in y ounces =2y

Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : c=10x+y

At(0,100)

c=10x+y

c=10(0)+100

c=100

At(10,50)

c=10x+y

c=10(10)+50

c=150

At(30,0)

c=10x+y

c=10(30)+0

c=300

Minimum cost is 100 cents at (0,100)

So,  the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

3 0
3 years ago
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