So the question here is just simply what percentage is 10 out of 50 correct? You would basically just do 10/50 times 100 which will give you 20 percent as your answer.
One Way:
We can change the mixed number to a decimal for comparing.
![1\frac{1}{4}](https://tex.z-dn.net/?f=%201%5Cfrac%7B1%7D%7B4%7D%20)
m =
![\frac{5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B4%7D%20)
m = 1.25 m
1.4 m > 1.25 m
Darren > Luke
Darren's jump was higher by (1.4-1.25)
0.15 m
Or another way change the decimal to a fraction and the mixed to an improper fraction too.
![1\frac{1}{4}](https://tex.z-dn.net/?f=%201%5Cfrac%7B1%7D%7B4%7D%20)
=
![\frac{5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B4%7D%20)
(Luke)
1.4 =
![\frac{7}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B5%7D%20)
(Darren)
We need a common denominator to compare
![\frac{5*5}{4*5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2A5%7D%7B4%2A5%7D%20)
(Luke)
![\frac{7*4}{5*4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%2A4%7D%7B5%2A4%7D%20)
(Darren)
![\frac{25}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B20%7D%20)
(Luke)
![\frac{28}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B28%7D%7B20%7D%20)
(Darren)
![\frac{28}{20} > \frac{25}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B28%7D%7B20%7D%20%20%3E%20%20%20%5Cfrac%7B25%7D%7B20%7D%20)
Darren > Luke
By:
![\frac{28}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B28%7D%7B20%7D%20)
-
![\frac{25}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%7D%7B20%7D%20)
=
![\frac{3}{20}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B20%7D%20)
Which is also by
0.15 m
Darren jumps higher and by 0.15 m
Answer:
7x+6
Step-by-step explanation:
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?
Simplified Expression:
3(x + 4) + 2(2x – 3)
3x+12+2(2x-3)
3x+12+4x-6
7x+6
Answer:
- Family 1: $1.850
- Family 2: $1.350
Step-by-step explanation:
We know that the total monthly payment is 3200, so if we call Pa (family A`s payment) and Pb (Family B's payment) the payments:
- Pa+Pb=3200
- also, Pa = Pb+500
So if we replace Pa in the first ecuation:
- Pb+500+Pb=3200
- 2Pb= 3200-500
- Pb=2700/2= $1.350
then Pa+Pb=3200 => Pa= 3200-1350= $1.850
Good Luck!