The seven is in the hundredths place.
It looks like your equations are
7M - 2t = -30
5t - 12M = 115
<u>Solving by substitution</u>
Solve either equation for one variable. For example,
7M - 2t = -30 ⇒ t = (7M + 30)/2
Substitute this into the other equation and solve for M.
5 × (7M + 30)/2 - 12M = 115
5 (7M + 30) - 24M = 230
35M + 150 - 24M = 230
11M = 80
M = 80/11
Now solve for t.
t = (7 × (80/11) + 30)/2
t = (560/11 + 30)/2
t = (890/11)/2
t = 445/11
<u>Solving by elimination</u>
Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,
7M - 2t = -30 ⇒ -10t + 35M = -150 … (multiply by 5)
5t - 12M = 115 ⇒ 10t - 24M = 230 … (multiply by 2)
Now combining the equations eliminates the t terms, and
(-10t + 35M) + (10t - 24M) = -150 + 230
11M = 80
M = 80/11
It follows that
7 × (80/11) - 2t = -30
560/11 - 2t = -30
2t = 890/11
t = 445/11
First, 47.7-45 to get price increase by tax for I which is 2.7. next divide 2.7 by 45 and multiply that by 100 to get a sales tax of 6%. Next 37.7-35 is once again 2.7. divide 2.7/35 and multiply times 100 to get a sales tax of 7.7 for T. T=7.7% and I=6% so since 7.7>6, therefore Tennessee has a greater sales tax then Iowa
Answer:
1.
Step-by-step explanation:
Scale factor is 1 because the triangle and image are congruent ( same shape and size).
Divide the miles by the gallons used for each car to find the miles per gallon, then compare them:
Blue car: 18 2/5 miles / 0.8 gallons = 23 miles per gallon.
Red car: 17 2/5 miles / 0.7 gallons = 24.86 miles per gallon.
The red car can travel farther on 1 gallon of gas.
