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


–3(0.15 – 0.2 + 0.25p)


0.15 – 0.75p


–0.45 – 0.6 + 0.75p


–3(–0.05 + 0.25p)


–3(0.15) + (–3)(0.2) + (–3)(0.25p)

Verified Answer :

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

\(-0.51+0.75p eq 0.15-0.75p\)

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.\(-3(0.15)+(-3)(0.2)+(-3)(0.25P)\)

\(-0.45-0.6-0.75p\)

\(-0.51-0.75 eq 0.15-0.75p\)

No, it is not equivalent to given expression.

The expression –3(0.15 – 0.2 + 0.25p) = 0.15 – 0.75p is TRUE

Sum of expressions

Given the expression

  • –3(0.15 – 0.2 + 0.25p)

Expand the expression

= –3(0.15) + 3(0.2) - 3(0.25p)

= -0.45 + 0.6 - 0.75p

= 0.15 -0.75p

Hence the expression –3(0.15 – 0.2 + 0.25p) = 0.15 – 0.75p is TRUE

Learn more on expressions here:https://brainly.com/question/22048677