at a candy store, erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. meanwhile, irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for $39.00. what is the cost of one kilogram of each type of candy?

Answers

Answer 1

Answer: If you would like to know the cost of one kilogram of each type of a candy, you can calculate this using the following steps:

1 kilogram of cinnamon red hots ... x = ?
3 kilograms of cinnamon red hots ... 3 * x = ?

1 kilogram of gummy bears ... y = ?
3 kilograms of gummy bears ... 3 * y = ?

Erika: 3 * x + y = $21.00
Irene: 3 * x + 3 * y = $39.00

3 * x + y = 21
3 * x + 3 * y = 39
_________________
3 * x + y - (3 * x + 3 * y) = 21 - 39
3 * x + y - 3 * x - 3 * y = - 18
- 2 * y = - 18 /(-2)
y = $9

3 * x + y = $21.00
3 * x = 21 - y
3 * x = 21 - 9
3 * x = 12 /3
x = $4

The correct result would be: 1 kilogram of cinnamon red hots cost $4 and 1 kilogram of gummy bears cost $9.

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A rectangular prism has length of 4 feet and a width of 7 feet. If the surface area of the prism is 188 square feet, what is its height?6 ft
5 ft
4 ft
3 ft

Answers

the answer is Height=6ft because 7 x 4 x 2 = 56
4 x 6 x 2 = 48
7 x 6 x 2 = 84
and 56 + 48 + 84 = 188

Answer:

Step-by-step explanation:

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $

Answers

Answer:

y = 260x + 700
$5900

Step-by-step explanation:

We can describe it as a linear function with points of:

(5, 2000) and (15, 4600)

Slope intercept formula:

y = mx +b

Finding the slope using the two given points:

m = (4600-2000)/(15-5) = 2600/10 = 260

Finding b:

2000 = 5*260 + b

b = 2000 - 1300 = 700

Formula obtained:

y = 260x + 700

For x = 20, value of y is:

y = 260*20 + 700 = 5200+700 = $5900

Final answer:

To express the cost, y, as a linear function of the number of heaters, X, we can use the two-point formula to find the equation of the line. The equation is y = 260x + 700, and the cost to produce 20 heaters is $5900.

Explanation:

To express the cost, y, as a linear function of the number of heaters, x, we need to find the slope and y-intercept of the equation. We can do this by finding the equation of the line that passes through the points (5, 2000) and (15, 4600). Using the two-point formula, we have:

slope = (4600 - 2000) / (15 - 5) = 2600 / 10 = 260

y-intercept = 2000 - 260 * 5 = 2000 - 1300 = 700

Therefore, the equation of the line is y = 260x + 700.

To find the cost to produce 20 heaters, we substitute x = 20 into the equation:

y = 260 * 20 + 700 = 5200 + 700 = 5900

So, the cost to produce 20 heaters is $5900.

Learn more about Linear function here:

brainly.com/question/40461731

#SPJ12

Add: (7x-6y)+(3x+3y-3)

Answers

Let's simplify step-by-step.7x−6y+3x+3y−3=7x+−6y+3x+3y+−3Combine Like Terms:=7x+−6y+3x+3y+−3=(7x+3x)+(−6y+3y)+(−3)=10x+−3y+−3Answer:=10x−3y−3

Since all the functions in here are addition and subtraction, you can remove the parentheses and just combine like terms.
$(7x-6y)+(3x+3y-3) \n 7x-6y+3x+3y-3 \n 7x+3x+3y-6y-3 \n (7x+3x)+(3y-6y)-3 \n 10x+(-3y)-3 \n 10x-3y-3$

The answer is 10x-3y-3.

Hope this helps!

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Answers

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Answers

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Answers

I did this in my lesson and the answer you are looking for is 13! Hope this helped you or anyone else. :)

The answer to your question is 13.

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