Your math teacher announces a 50 point quiz tomorrow. there will be a total of 15 questions. some of the questions will be worth 4 points and some of the questions will be worth 3 points. use a system to find out how many 4 points questions there will be

3x + 4y = 50

x + y = 15

Five 4-point questions

Step-by-step explanation:

Change x + y = 15 to determine what y equal

y = (-x) + 15

Plug it in the original equation using the substitution method

3x + 4(-x + 15) = 50

3x - 4x + 60 = 50

Combine like terms:

-x = -10, two negative signs equals a positive. x = 10

Plug 10 in for x in the equation x + y = 15

10 + y = 15

Subtract 10 from both sides

y = 5

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step-by-step explanation:

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.