Why does: 5x+3x+2x = 10x and not 10xxx?

Mathematics

2 answers:

Helen [10]3 years ago

8 0

Because you are not adding the x's .When you add the coefficients, the variable comes along with it.

atroni [7]3 years ago

7 0

Because you are adding an amount of the same variable. They are like terms so you would combine them. If it was 10xxx it would be 10+3x. But, 5x+3x+2x is 10 because 3x+2x is 5 and 5x+5x is 10x. You do not add the actual x's together, just the amount that is shown.
Think of it as this way:
5x = x x x x x
3x = x x x
2x = x x
in total, there are 10 x's

You might be interested in

Find the width of a rectangular prism with a surface area of 250 square cm, a height of 5 cm, and a length of 10 cm. 15 cm 50 cm

oksian1 [2.3K]

Let, the width = w

We know, A = 2(lw + wh +hl )
250 = 2(10w + 5w + 50)
250 = 2(15w + 50)
250 = 30w + 100
30w = 250 - 100
w = 150/30
w = 5

In short, Your Answer would be Option C) 5 cm

Hope this helps!

8 0

3 years ago

Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine t

Katarina [22]

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

$x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25$