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SpyIntel [72]
3 years ago
14

Miranda is taking tennis lessons in one lesson, she returned 36 balls out of all the balls served to her. If she returned 40% of

the balls, how many balls were
served to her?
Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

90 balls

Step-by-step explanation:

Set up proportion

36/x = 40/100

Cross multiply: 40x=3600

Solve for x

x=90

To check work:

40 percent of 90 would be 36

90(0.4)=36

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Water come out of a pipe at a rate of 16 gallons per minute. How many gallons have come out after 4 minutes​
alina1380 [7]

Answer:

64 gallons

Step-by-step explanation:

Ask yourself; if

 16gallons = 1minute

     ?           = 4minutes

Cross multiply;

(16 × 4) ÷ (1) = 64

7 0
2 years ago
A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha
grin007 [14]

Answer:

The radius of the pie is 6.17 in.

Step-by-step explanation:

The formula for arc length as a function of radius is

s = r·Ф, where Ф is the central angle in radians.

Here we know that the arc length is 7.85 in.  Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is

2π / 8, or π /4 (radians).

thus, s = r·Ф, solved for r, is r = s/Ф

and in this instance r = (7.85 in)/(π/4).  Evaluating this, we get:

                                 r = 6.17 in

The radius of the pie is 6.17 in.

8 0
3 years ago
8x to the 2nd power +2x-3=0
Papessa [141]

Answer:

x= 1/2 and -3/4

Step-by-step explanation:

By using factorization, we can solve this equation.

8x^2+2x-3=0

Factor:

(2x-1)(4x+3)=0

Solve:

2x-1=0

2x=1

x=1/2

Solve again:

4x+3=0

4x=-3

x=-3/4

Hope this helped

5 0
3 years ago
A rectangular pan has a length that is 4/3 the width. The total area of the pan is 432 in.2. What is the width of the cake pan?
Maru [420]
<span>the width of the cake pan can be found with the following formula
area = W x L=</span>432 in.2<span>
but L= 4/3W
so we have </span>
area = W x 4/3W=4/3W²=<span>432 in.2, and </span><span>W²=<span>(3/4)x 432 in.2, and W=18 in</span> </span>


3 0
3 years ago
Triangle ABC is similar to triangle DEF.
amid [387]

Answer:

1.5

Step-by-step explanation:

12 / 8 = 1.5

8 0
2 years ago
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