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pychu [463]
2 years ago
12

A high school soccer goalie blocked the ball from going into the goal 4 out of 5 times if the ball was kicked toward the goal 40

times how many blocks did the goalie make ​
Mathematics
1 answer:
Basile [38]2 years ago
8 0

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32

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The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the recta
snow_lady [41]

Answer:

The rectangle:  <u>L = 40 yards.   W = 5 yards</u>

The square: The length and width are both <u>5 yards</u>.

Step-by-step explanation:

<u>Let L and W be the length and width of the rectangle. </u>

<u>Let l and w be the length and width of the square.</u>

Area for each is:

Rectangle:  L*W

Square:       l*w

We are told that <u>L*W + l*w = 225 yards^2</u>

We are also told that

<u>L = 8W </u>

and that

<u>l = W</u>

Since the sides of a square are all equal, w is also W:  <u>w=W</u>

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2  = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W <u>,</u> <u>L = 40 yards.   W = 5 yards</u> for the rectangle.

The square:  l=W, so <u>l = 5 yards, and thus w=5 yards</u>

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

5 0
1 year ago
The value of y varies directly with x, and when x = y = 25. What is the value of
kipiarov [429]

Answer:

A 233.3 or 233 1/3

Step-by-step explanation:

X =1/4

Y =25

1/4 X 100= 25

2 1/3 X 100= 233.3

6 0
1 year ago
Marty Has Four Cubes. The Cubes Me-sure 13x3x10. what is the volume of all his cubes divided on 2?
tatuchka [14]

Answer:

845

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Three coins are flipped.
Darina [25.2K]

Step-by-step explanation:

1.

when 3 coins are flipped the following outcomes are possible

h = heads, t = tails

h h h

h h t

h t h

h t t

t h h

t h t

t t h

t t t

yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means

2×2×2 = 2³ = 8 possibilities.

2.

at least 2 tails means 2 or 3 t in the list item :

h t t

t h t

t t h

t t t

3.

so, 4 out of the 8 possible outcomes. the probability is then therefore

4/8 = 1/2 = 0.5

8 0
2 years ago
Avery planned a circular garden and path as shown below. The radius of the garden is 4 feet and the path around the garden is 2
Digiron [165]

Answer:

Option C) 113.0 feet squared

Step-by-step explanation:

We are given the following in the question:

Radius of circular garden = 4 feet

Length of path around garden =  2 feet

We have to find the total area of garden and path.

The garden and path together makes a bigger circle with radius

R = 4 + 2 = 6\text{ Feet}

Area of garden and path =

A = \pi R^2

Putting values, we get,

A  = 3.14\times (6)^2 = 113.04\\A \approx = 113.0\text{ square feet}

Thus, the correct answer is

Option C) 113.0 feet squared

8 0
2 years ago
Read 2 more answers
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