Answer:
32 5/8 (or 32 and 5/8)
Step-by-step explanation:
Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.
-7 1/4(-4) + 3 5/8.
To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.
-29/4(-4) + 3 5/8.
Repeat the last step to turn the other mixed number into an improper fraction.
-29/4(-4) + 29/8.
Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)
(-29/4 * -4/1) + 29/8.
29 + 29/8.
Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.
<u>29</u> x <u>8</u> = <u>232</u>
1 x 8 = 8
Now these numbers are addable. So:
232/8 + 29/8 = 261/8 = 32 5/8.
I hope that this helps.
Answer:
2
Step-by-step explanation:
to get from the big to small shape you times by 2
you can see this by comparing the labelled sides
3 on the small and 6 on the big
to get from 3 to 6 you times by 2
This is a linear equation with y-intercept $50 and slope $0.25/mile:
TC = $50 + ($0.25)x, where x is the number of miles driven.
Answer:
5/34 mi/min
Step-by-step explanation:
To find miles per minute, divide miles by minutes:
(7 3/4 mi)/(52 7/10 min) = (31/4 mi)/(527/10 min)
= (31/4)(10/527) mi/min = 310/2108 mi/min = 5/34 mi/min
Carlton's average pace was 5/34 miles per minute.
___
Since the given numbers are mixed numbers, we assume this is supposed to be a problem in fractions. Hence we have given the answer as a fraction. Its decimal value is about 0.14706. It is a repeating decimal with a 16-digit repeat.
You may have to do a little work to reduce the fraction 310/2108 to 5/34. You have to factor out a factor of 62. The numerator is 310=2·5·31, so that gives you a short list of factors to try with the denominator.
10a - 5b = 25
10a - 10a - 5b = 25 - 10a
-5b = -10a + 25
-5 -5
b = 2a - 5
