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Paladinen [302]
2 years ago
9

Allison plays basketball and last season she made a total of 87 shots (two- or three- point shots). Her points total was 191. Ho

w many three-points shots did she make
Mathematics
1 answer:
yarga [219]2 years ago
4 0

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  <u>2t + 2h = 174</u>

     <u>          h  = 17 </u>

<u />

Therefore, she made 17 three point shots.

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A company has a $150 budget to provide lunch for its 20 employees. The options are to provide either roast beef sandwiches, whic
Shkiper50 [21]

Answer:

i know im vv late but i dont want anyone to get it wrong. anyway if your on e2020 i believe the correct answer is

D. The company cannot provide lunch for all 20 employees and use the entire budget because there is no solution to the system of equations mc019-r+t=20 and 5r+5t=150

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
otez555 [7]

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since  in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

\sqrt{r^{2} }  = \sqrt{1600} \\r = 40

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

7 0
1 year ago
Read 2 more answers
A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total a
Semenov [28]

Answer:

The width of the pathway is:

  • <u>7 meters</u>.

Step-by-step explanation:

To identify the width of the pathway, you must remember the area formula of a rectangle:

  • Area of a rectangle = length * width.

From which the width can be cleared:

  • Width of a rectangle = area / length.

We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:

  • Width of a rectangle = 240 m^2 / 16 m = 15 m.

The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.

  • <u>Pathway width = Total width - Garden width. </u>
  • <u>Pathway width = 15m - 8m = 7 meters.</u>
7 0
2 years ago
An electrician charges an hourly rate of $50, but also charges a fixed fee for making house calls regardless of time spend on th
NISA [10]

Answer:

C=50t+150

Step-by-step explanation:

From the information given, the equation will need to show that the total cost of the electrician services would be equal to 50 that is the hourly rate for the number of hours spent working plus the fixed fee:

Fixed fee=250-(50*2)=250-100=150

According to this, the equation would be:

C=50t+150, where C is the total cost of the electrician's services and t is the number of hours spent working.

8 0
1 year ago
Which of these ordered pairs is a solution to the inequality y – 2x ≤ –3?
Archy [21]
The answer is D.(1,-1) the reason is -1(y)-2*1(x)=-3 so, -1-2*1 is less than or equal to -3.
8 0
2 years ago
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