Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
For number 16 we need to write the data as a ratio then convert to a unit rate (amount per 1)...
308/14 = x/1
Cross multiply
14x = 308
x = 308/14
x = 22
So the fuel efficiency is
22 miles per 1 gallon or
22/1
For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...
288 miles ÷ 48 mph =
6 hours
Step-by-step explanation:
the quotient of a number and 3 is 6
Solution,
Let the number be x, then
Answer:
29
Step-by-step explanation:
For the two digit numbers it has to end in a zero or five and be greater than 9 and below 100.
There are 18 multiples of 5 that are 2 digit
For multiples of 7... it's easier to write it out because the total number will will less than 20.
There are 13 multiples of 7 that are 2 digits
Now you have to subtract the multiples of 7 that end in a 0 or 5
That give you 11 multiples
Add 11 and 18 to get 29
Answer:
about 2.4 or 2
Step-by-step explanation:
because 15 divided by 3 gives you unit rate which is 5 now 12 divided by 5 which you can round or get decimal
