Answer:
The family traveled at 45 miles per hour.
Step-by-step explanation:
Answer:
(3u + 24) / (u + 9)
Step-by-step explanation:
6u + 72 / 2u + 24 ÷ u² + 21u + 108 / u² + 20u + 96
We'll begin by factorising u² + 21u + 108 and u² + 20u + 96. This can be obtained as follow:
u² + 21u + 108
Multiply u² and 108. The result is 108u². Find the factors of 108u² such that their sum will result to 21u. The factors are 12u and 9u.
u² + 12u + 9u + 108
u(u + 12) + 9(u + 12)
(u + 9)(u + 12)
u² + 20u + 96
Multiply u² and 96. The result is 96u². Find the factors of 96u² such that their sum will result to 20u. The factors are 12u and 8u.
u² + 12u + 8u + 96
u(u + 12) + 8(u + 12)
(u + 8)(u + 12)
6u + 72 / 2u + 24 ÷ u² + 21u + 108 / u² + 20u + 96 =
6u + 72 / 2u + 24 ÷ (u + 9)(u + 12) / (u + 8)(u + 12) =
(6u + 72) / (2u + 24) × (u + 8)(u + 12) / (u + 9)(u + 12)
(6u + 72)(u + 8)(u + 12) / (2u + 24)(u + 9)(u + 12) =
(6u + 72)(u + 8) / (2u + 24)(u + 9) =
6(u + 12)(u + 8) / 2(u + 12)(u + 9) =
6(u + 8) / 2(u + 9) = 3(u + 8) / (u + 9)
= (3u + 24) / (u + 9)
Answer:
250
Step-by-step explanation:
20% of 250 is 50. 100% of 250 is 250, therefore 20 percent of 250 equals 50.
More simplified explanation: The question is asking if 50 is 20% of a number, what is the number? So we know that 20% is 1/5 of 100%; if we know that 50 is 20% of something, then we would multiply 50 by 5 to get the answer. We would have to multiply 50 by 5 because if 50 is 20% of a number that would mean that 50 is 1/5 of the number we need to find, so to find the number, you to multiply 50 by 5.
Hope this helps!
Here we go ~
As we can see in the figure, lines m and n are parallel to each other. so we can apply Angle pair properties ~
So,
[ they form corresponding angle pair ]
and it's given that :
therefore, by using above information. we can conclude that :
Answer: 5p - 4q
Step-by-step explanation:
12p-7p-3q-q
Collect like terms of p
(12p - 7p) - 3q - q
= 5p - 3q - q
Collect like terms of q
= 5p - 4q
