Answer:
$45.22
Step-by-step explanation:
The number of miles per gallon can be represented by the ratio:
Since we know the unit rate of 26 miles per gallon of gas, we can set up a proportion, or equivalent ratios, to find the number of gallons needed for 420 miles:
, where 'x' is the number of gallons of gas
cross-multiply and divide: 26x = 420 or x ≈ 16.15 gallons
If gas is $2.80 per gallon, take the total number of gallons needed and multiply by $2.80:
16.15 x $2.80 = $45.22
30.50-14= 16.50
16.50 divided by 2.75= 6
The answer is 6
3x - 2y = 1
2x + 2y = 4
Add the second equation to the first
5x = 5
2x + 2y = 4
Divide the first equation by 5
x = 1
2x + 2y = 4
Subtract the first equation from the second
x = 1
x + 2y = 3
Subtract the first equation from the second again
x = 1
2y = 2
Divide the second equation by 2
x = 1
y = 1
<h3>
So, the solution is x = 1 and y = 1 {or: (1, 1)} </h3>
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.
X=8.
Following the similarity statement, we know that AC is to DF as BC is to EF. The ratio would be:
24/(x-2) = 20/5
Cross multiply:
24*5 = 20(x-2)
Use the distributive property:
120 = 20x - 40
Add 40 to both sides:
120+40 = 20x - 40 + 40
160 = 20x
Divide both sides by 20:
160/20 = 20x/20
8 = x
