Answer:
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:
a and c
Step-by-step explanation:
a.[tex]2n-6=9-n[/tex]
[tex]2n+n=9+6[/tex]
[tex]3n=15[/tex]
[tex]n=\frac{15}{3}=5[/tex]
b.[tex]Rate=\frac{distance}{time}[/tex]
Distance=450 km
Time=6 hours
Rate=[tex]\frac{450}{6}=75 Km/h[/tex]
But from given equation
[tex]450r=6[/tex]
[tex]r=\frac{6}{450}[/tex]
Hence, it is wrong.
c.[tex]3n+44=-n[/tex]
[tex]3n+n=-44[/tex]
[tex]4n=-44[/tex]
[tex]n=\frac{-44}{4}=-11[/tex]
d.Let number of quarter=x
Number of dimes=5 x
According to question
[tex]x+5x=[/tex]$5.25
But given equation
[tex]x+10x=[/tex]$5.25
This is wrong.
Hence, option a and c are true.
