A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.

x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.

Step-by-step explanation:

If you want to use substitution you need to convert the first equation to y=

so you can subtract  x from both sides to isolate y

so now you have y=24-x

now we plug that in

to get 3x+5(24-x) =100

now we have a one variable equation

then distribute

to get 3x+120-5x=100

then combine like terms

to get 120-2x=100

then isolate the x, but we don't want to have a negative x so we add x to both sides

to get 120=100+x

then we isolate x by subtracting 100 from both sides

to get 20=x

so there are 20 3-point questions

now you can plug that in to the first equation to get y

x+y=24

(20)+y=24

subtract y from both sides to get

y=4

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: