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RideAnS [48]
3 years ago
12

The perimeter of a backyard basketball court with four sides is 90 feet. Two sides of the court are each 20 feet long. One side

of the court is 25 feet long. What is the missing side length? 20 feet 25 feet 30 feet 50 feet
Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Given:

The perimeter of a backyard basketball court with four sides is 90 feet.

Two sides of the court are each 20 feet long.

One side of the court is 25 feet long.

To find:

The missing side length of the basketball court.

Solution:

Let x be the missing side length.

The three given sides of the basketball court  are 20 feet, 20 feet, 25 feet.

We know that the perimeter is the sum of all sides.

Perimeter=x+20+20+25

Perimeter=x+65

The perimeter of a backyard basketball court with four sides is 90 feet.

x+65=90

x=90-65

x=25

Therefore, the missing side length is 25 feet and the correct option is B.

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Help please i really really really need it.....
ruslelena [56]

A)

s = sweater

j = jeans

Equations:

4s + 2j = 140

2s + 3j = 150

B)

4s + 2j = 140

2s + 3j = 150

Multiply (-2) to the second equation

-2 (2s + 3j = 150)

-4s - 6j = -300

Now you have the equations:

4s + 2j = 140

-4s - 6j = -300

-----------------------------add

-4j = -160

  j = 40

4s + 2(40) = 140

4s + 80 = 140

4s = 60

 s = 15

The cost for a sweater is $15 and the cost for a jean is $40

We used the elimination method to solve the system of equations.

C)

Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85

Total cost for 1 pair of jeans and 3 sweaters = $85

If she has $225 the

$225 / $85 = 2.64

2 jeans = 2 x 40 = $80

6 sweaters = 6 x $15 = $90

So She can only buy 2 jeans and 6 sweaters

3 0
3 years ago
A golfer bought 24 golf balls for $10.08. Which is the price per golf ball?
Vlada [557]

Answer: 42 cents

Step-by-step explanation: Take 10.08 divide it by 24 and there's your answer!

6 0
3 years ago
Read 2 more answers
Drag the point on the coordinate plane to the solution of the system of equations shown below: y=-2x-1 y = x + 2​
Sveta_85 [38]

Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)

3 0
3 years ago
Ben and Tom each take a driving test.
GaryK [48]

Answer:

(b)0.56

(c)0.38

Step-by-step explanation:

(a)The tree diagram is attached.

P(Ben Fails)=1-0.8=0.2

P(Tom Fails)=1-0.7=0.3

(b)Probability that  both will pass their driving test.

P(both will pass)=0.8 X 0.7 =0.56

(c)Probability that  only one of them will pass their  driving test.

P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)

=(0.7 X 0.2)+(0.8 X 0.3)

=0.14+0.24

=0.38

3 0
3 years ago
write an equation of a line that passes through the following tow points (4, -6) and (2, 8) show work
stiks02 [169]

Answer:

y = -7x + 22

Step-by-step explanation:

Given

(x_1,y_1) = (4,-6)

(x_2,y_2) = (2,8)

Required

Determine the line equation

This question will be answered using linear interpolation.

This is represented as thus:

\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}

Substitute values for x1,x2,y1 and y2

\frac{y - (-6)}{x - 4} = \frac{8 - (-6)}{2 - 4}

\frac{y +6}{x - 4} = \frac{8 +6}{2 - 4}

\frac{y +6}{x - 4} = \frac{14}{-2}

\frac{y +6}{x - 4} =-7

Cross Multiply

y + 6 = -7(x - 4)

y + 6 = -7x + 28

Make y the subject

y = -7x + 28-6

y = -7x + 22

7 0
3 years ago
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