His car gets 21 mpg (miles per gallon). With 1 gallon he can drive 21 miles. For example, with 10 gallons, he can drive 21 mpg * 10 gal = 210 miles.
He bought $19.50 worth of gas at $1.40 per gallon.
$19.50 / ($1.40/gal) = 13.93 gal
He already had 5 gal of gas in his tanks, so now he has
5 gal + 13.93 gal = 18.93 gal
With 18.93 gal, he can drive
18.93 gal * 21 mpg = 292.5 miles
Answer:
Step-by-step explanation:
<u>Area of circle:</u>
<u>Area of α degree sector:</u>
<u>The shaded area is:</u>
- S = π*10²×(72*2)/360 = 100π×144/360 = 40π
"measures to the nearest tenth of a pound" tell us to round each of the weights listed to the nearest tenth (since the unit is already pounds, no conversion is needed). What this means is if the second number to the right of the decimal is 5 or greater, then we add 1 to the first number to the right of the decimal (and replace the second number with a zero). With all this said, it's much easier to show you, rather than to try to explain it. :D
4.35 is rounded up to 4.4 because the second number to the right of the decimal is 5.
Packet A = 4.4
Packet B = 4.4
Packet C = 4.5
Packed D = 4.4
The question is asking what the heaviest reading will be, so from the whole list above we pick the highest number which is 4.5 pounds. Notice how the answer is not Packet C, or 4.48 pounds, but 4.5 pounds. It is asking for the reading, not the packet, nor the weight. Hope this helps.
H = Alice's home runs
p = Peter's home runs
p = 2(h - 6)
p + h = 18
Simplified:
p = 2h - 12
p - 2h = -12
p + h = 18
Solve simultaneously:
p - 2h = -12 ...1
p + h = 18 ...2
1 - 2:
-3h = - 30
h = -30/-3
h = 10
Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8
Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.
