MATHEMATICS HIGH SCHOOL

The cost of 8 muffins and 2 quarts of mil is $18. The cost of 3 muffins and 1 quart of milk is $7.50 hos much does 1 muffin and 1 quart of milk cost ?

Answers

Answer 1

Answer:

Answer:

The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

Step-by-step explanation:

Let us assume that the cost of one muffins be x.

Let us assume that the cost of one 1 quarts of milk be y.

As given

The cost of 8 muffins and 2 quarts of mil is $18.

Than the equation becomes

8x + 2y = 18

As given

The cost of 3 muffins and 1 quart of milk is $7.50.

Than the equation becomes

3x + 1y = 7.50

Two equations are

8x + 2y = 18 and 3x + 1y = 7.50

Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .

Thus

8x - 6x + 2y - 2y = 18 - 15

2x = 3

$x = (3)/(2)$

x = 1.5

Put x = 1.5 in 3x + 1y = 7.50

3 × 1.5 + y = 7.50

y = 7.50 - 4.5

y = 3

Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

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Answers

tan 60° = the square root of 3 over 1

Hope this helps!

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?7 in.
8 in.
9 in.
10 in. PLZ HELP

Answers

7 in. , because 8, 9, or ten would be too long. If you substitute 1 for w and 7 for l, it is correct... 2(7)+ 2(1)= 16

Solve each equation by taking square roots

10p^2 +20=1490

Answers

$10p^2 +20=1490$

$10p^2=1490-20$ $Subtract \ 20 \ from \ both \ sides$

$10p^2=1470$

$p^2= (1470)/(10)$ $Divide \ both \ sides \ by \ 10$

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$p=+ √(147)$ $Take \ the \ square \ root \ of \ both \ sides$

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10p^2+20=1490
1 $\sqrt{10p^(2) =1470} 10p=38.34 p=3.834$ 0p^2=1470

If someone made 65 ounces of jelly if they put the same amount of jelly in 6 jars how much jelly is in each jar

Answers

There would be 10.8 ounces in each jar.

3.90 ounces in each jelly jar

Manny has 28 chapters in a book to read. He reads 7 chapters each week. How many weeks will it take for Manny to read the book?

Answers

well if you divide 28/7 you will get 4. It will take him 4 weeks to read the 28 chapters.

Easy just divider 28 and 7 so it would be 4 weeks

Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks and also takes orders in advance for fruit cups that cost $3 each. 1. describe the domain of the function both in words and numbers?
2. what is the range?

Answers

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

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