Question

Add the expressions. the quantity negative 7 minus one fifth times p end quantity plus the quantity nine tenths times p minus 2 end quantity negative 8 over 15 times p plus negative 5 7 over 10 times p minus 9 7 over 20 times p minus 5 8 over 10 times p plus negative 9

Answer 1

When adding the expressions containing variable p, we combine like terms and constants separately to find the combined expression (-971/60)p - 18.

Step-by-step explanation:

To add the expressions that involve the variable p, we will combine like terms, which are terms that have the same variable raised to the same power. We'll start by organizing all terms with p and then combine the constant terms. The provided expressions are:

• (-7 - 1/5*p)
• (9/10*p - 2)
• (-8/15*p)
• (-57/10*p)
• (-97/20*p)
• (-58/10*p)
• (-9)

First, let's add the coefficients of p:

(-1/5) + (9/10) + (-8/15) + (-57/10) + (-97/20) + (-58/10) =

To simplify this, we need a common denominator which would be 60. We get:

(-12/60) + (54/60) + (-32/60) + (-342/60) + (-291/60) + (-348/60)

Summing these up gives us the total coefficient of p:

(-12 + 54 - 32 - 342 - 291 - 348) / 60 = (-971 / 60)p

Now, let's combine the constant terms:

-7 - 2 - 9 = -18

Thus, the combined expression is:

(-971 / 60)p - 18