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nignag [31]
2 years ago
9

Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. H

ow many cupcakes will she bake? How many cookies will she bake? Explain your answers.
Mathematics
1 answer:
lawyer [7]2 years ago
8 0

Answer:

30 cookies and 6 cupcakes

Step-by-step explanation:

5+1=6

5:1=6

?:?=36

36/6=6

5x6=30

1x6=6

30 cookies

6 cupcakes

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LuckyWell [14K]

Answer:

Step-by-step explanation:

7 0
3 years ago
What is the area of the trapezoid? The diagram is not drawn to scale.
Katyanochek1 [597]

Answer:

The area of trapezoid is 72 cm²

Step-by-step explanation:

Given : A trapezoid with given dimensions.

We have to find the area of trapezoid ABCD.

Consider the given trapezoid ABCD ,

AB = EF = 8 cm

and CE = FD = 4 cm

Then CD = CE + EF + FD = 4 + 8 + 4 = 16 cm

Thus, Area of trapezoid = \frac{1}{2}\cdot \text{(Sum of parallel sides)} \cdot height

here, height = 6 cm

and sum of parallel sides = AB + CD = 16 + 8 = 24 cm

Thus,  Area of trapezoid = \frac{1}{2}\cdot 24 \cdot 6

Simplify, we have,

Area of trapezoid = 72 cm²

Thus, The area of trapezoid is 72 cm²

8 0
3 years ago
Read 2 more answers
4. Is the point (3,-4) a solution to the given system? Justify your answer.
Zigmanuir [339]

Answer: No, it is not a solution

==========================================================

Explanation:

The point (3,-4) means that x = 3 and y = -4 pair up together

Let's plug these x,y values into each equation

Starting with the first equation, we get,

y = 4x-16

-4 = 4(3)-16 ... x replaced with 3; y replaced with -4

-4 = 12-16

-4 = -4 .... this is a true statement

Repeat for the second equation

y = 2x-6

-4 = 2(3)-6

-4 = 6-6

-4 = 0 ... this is false

Since we get a false statement, this means (3,-4) is not on the line y = 2x-6, which means that overall (3,-4) is not a solution to the system of equations. The point (3,-4) must make both equations true for it to be a solution.

5 0
3 years ago
A train travels 540 miles in 4.5 hours. What is the train's rate in miles per hour?
mezya [45]

Answer:

The train travels at 120 miles per hour.

Step-by-step explanation:

All we have to do is divide 540 by 4.5

540 ÷ 4.5 = 120

So the answer is 120 miles per hour.

Hope this helps! :)

3 0
2 years ago
What is the slope of the line whose equation is
svetlana [45]

Answer:

-3

Step-by-step explanation:

Because it is multiplied by x

7 0
3 years ago
Read 2 more answers
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