Question

QUICK PLEASE!!!

Will the given equation solve the problem? Choose all which will.

Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number.
Equation: 2n − 6 = 9 − n
Problem: Anna drove 450 km in 6 hours. Find her rate of travel.

Equation: 450r = 6
Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number.
Equation: 3n + 44 = −n
Problem: Sara collects her change and realizes that she has five times as many dimes as quarters. The total amount for the change is $5.25. Find the number of quarters in her collection.
Equation: x + 10x = $5.25

Answer 1

im just going to copy and paste the correct ones and their answers:

Problem: The sum of twice a number and −6 is 9 more than the opposite of the number. Find the number.

Equation: 2n − 6 = 9 − n

n = 5

Problem: Anna drove 450 km in 6 hours. Find her rate of travel.

Equation: 450r = 6

r = 75

Problem: Three times a number increased by 44 is the same as the opposite of the number. Find the number.

Equation: 3n + 44 = −n

n = -11

Answer 2

a and c

Explanation:

a.
`2n-6=9-n`

`2n+n=9+6`

`3n=15`

`n=(15)/(3)=5`

b.
`Rate=(distance)/(time)`

Distance=450 km

Time=6 hours

Rate=
`(450)/(6)=75 Km/h`

But from given equation

`450r=6`

`r=(6)/(450)`

Hence, it is wrong.

c.
`3n+44=-n`

`3n+n=-44`

`4n=-44`

`n=(-44)/(4)=-11`

d.Let number of quarter=x

Number of dimes=5 x

According to question

`x+5x=`$5.25

But given equation

`x+10x=`$5.25

This is wrong.

Hence, option a and c are true.