A math test has a total number of 120 points with 44 questions on the test. Questions are worth one, three, or five points. The number of three-point questions is ten less than twice the number of one-point questions so how many five-point questions are on the test?

9 5pt questions

Step-by-step explanation:X+Y+Z=44

1X+3Y+5Z= 120

Y=2X-10

X+3(2X-10)+5Z= 120 X+6X+5Z= 120. 7X+5Z= 120. Multiply top row by -3

X+2X-10+Z=44. 3X-10=44. 3X+Z= 54. Multiply bottom row by 7

-21X-15Z= -450

21X+7Z=378

-8z= -72

Divide by -8

z=9

15 one pt questions+ 20 3 pt + 9 5 pt = 120 pts

15+20+9=44 questions

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer: you need the equation in the question so i can answer it

step-by-step explanation: