Question

Choose Yes or No to tell whether each expression is equivalent to this expression.

Answer 1

–3(0.15 – 0.2 + 0.25p) = –3(0.15) + (–3)(0.2) + (–3)(0.25p)
Because the 2nd experssion is taking -3 times each number in the ( )

Answer 2

Answer:

A.Yes

B.No

C.Yes

D.No

Step-by-step explanation:

We are given that an expression

$-3(0.15-0.2+0.25p)$

We have to choose yes or no to tell each expression is equivalent to given expression.

$-3(-0.05+0.25p)$

$-3(-0.05)-3(0.25p)=0.15-0.75p$

$-3(0.15-0.2+0.25p)=0.15-0.75p$

A.$0.15-0.75p$

Yes , it is equivalent to given expression.

B.$-0.45-0.6+0.75p$

It is not true because

$-0.51+0.75p\neq 0.15-0.75p$

Hence, this expression is not equivalent to given expression.

$C.-3(-0.05+0.25p)$

$0.15-0.75p$

Yes, it is equivalent to given expression.

D.$-3(0.15)+(-3)(0.2)+(-3)(0.25P)$

$-0.45-0.6-0.75p$

$-0.51-0.75\neq 0.15-0.75p$

No, it is not equivalent to given expression.