# Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2?

3x^2 - x - 10

Step-by-step explanation:

Times the two together and you get

3x^2 + (-6x) + 5x + (-10)

## Related Questions

A road crew is widening a street that is 24 m wide. Their scale drawing says the new street has to be 125% of the width of the old street. How wide should the new street be? A. 19.2 m B. 28 m C. 30 m D. 300 m

The correct answer is C: the new street should be 30m wide.

Step-by-step explanation:

This is a simple problem of per-cents. Perhaps the easiest way to do it is to use a basic ‘‘rule of three’’. In this particular case the 100% is the width of the old street, i.e. 24 m; and we want to know the new width, that is 125% of the old street. So,

24 ---- 100%

x  ----- 125%

To find x we use the formula

So, the width of the new street is 30m.

If the street is already 24 m wide, and it is being expanded by 125%, then the correct answer is C. 30 m!

125% simply means 1 1/4.     1/4 of 24 is 6.    So, you have 24 + 6 = 30!

A line that passes through the points (–4, 10) and (–1, 5) can be represented by the equation y = (x – 2). Which equations also represent this line? Check all that apply. y = x – 2
y = x +
3y = –5x + 10
3x + 15y = 30
5x + 3y = 10

Slope=(y2-y1)/(x2-x1)=(10-5)/(-4-(-1))=-5/3
Let equation be y=-(5/3)+b => 10=-(5/3)(-4)+b => b=10/3
So the real equation is y=-5/3+10/3   (and not y=x-2)

A. y=x-2   is not equivalent to y=-5/3+10/3
B. y=x+   is not an equation, so cannot be an equivalence
C. 3y = –5x + 10  divide by three =>  y=-(5/3)+10/3  both slope and y-intercept are equal, so equivalent to y=-5/3+10/3
D. 3x + 15y = 30  divide by 15 => (1/5)x+y = 2  slope and y-intercept are both not equal, so not equivalent to y=-5/3+10/3
E. 5x + 3y = 10  divide by 3 => (5/3)x + y = 10/3   slope and y-intercept are both equal, so equivalent to y=-5/3+10/3

B, C, E

for edge2020

Step-by-step explanation:

B: y=-5/3x+10/3

C: 3y=-5x+10

E: 5x+3y=10

Mr. Carandang sold a total of 1,790 prints of one of his drawings. Out of all 1,273 unframed prints that he sold, 152 were small and 544 were medium-sized. Out of all of the framed prints that he sold, 23 were small and 42 were extra large. Of the large prints that he sold, 188 were framed and 496 were unframed.Which number is missing from the two-way table?