Answer:
See below.
Step-by-step explanation:
The expression
is equivalent to the decimal -0.8 or -80%. It is also equivalent to the fractions
since these simplify to 4/-5.
Answer:
The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25
Step-by-step explanation:
Let
x ----> amount earned by Josie
y ---> amount earned by her brother
we know that
![\frac{x}{y}=\frac{5.50}{6.50}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B5.50%7D%7B6.50%7D)
------> equation A
-----> equation B
Solve the system by substitution
Substitute equation A in equation B
![\frac{5.50}{6.50}y+y=30.00](https://tex.z-dn.net/?f=%5Cfrac%7B5.50%7D%7B6.50%7Dy%2By%3D30.00)
solve for y
![\frac{12.00}{6.50}y=30.00](https://tex.z-dn.net/?f=%5Cfrac%7B12.00%7D%7B6.50%7Dy%3D30.00)
![y=6.50(30.00)/12.00\\y=\$16.25](https://tex.z-dn.net/?f=y%3D6.50%2830.00%29%2F12.00%5C%5Cy%3D%5C%2416.25)
Find the value of x
![x=\frac{5.50}{6.50}(16.25)\\\\x=\$13.75](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5.50%7D%7B6.50%7D%2816.25%29%5C%5C%5C%5Cx%3D%5C%2413.75)
therefore
The amount earned by Josie was $13.75 and the amount earned by her brother was $16.25
Given:
![|x-4(72)|=2](https://tex.z-dn.net/?f=%7Cx-4%2872%29%7C%3D2)
To find:
The highest and lowest scores Sam could have made in the tournament.
Solution:
We have,
![|x-4(72)|=2](https://tex.z-dn.net/?f=%7Cx-4%2872%29%7C%3D2)
![|x-288|=2](https://tex.z-dn.net/?f=%7Cx-288%7C%3D2)
It can be written as
![x-288=\pm 2](https://tex.z-dn.net/?f=x-288%3D%5Cpm%202)
Add 288 on both sides.
![x=288\pm 2](https://tex.z-dn.net/?f=x%3D288%5Cpm%202)
and ![x=288+2](https://tex.z-dn.net/?f=x%3D288%2B2)
and ![x=290](https://tex.z-dn.net/?f=x%3D290)
Therefore, the highest and lowest scores Sam could have made in the tournament are 290 and 286 respectively.
Maybe The 30% And 70% Is In The Other Triangle And You Do The Same Thing Thats What I Am Guessing Not 100% Sure About It Because I Have Not Learned This Yet! :P
Answer:
He can make 12 batches of pancake
Step-by-step explanation:
Total amount of milk = 9 cups
One batch of pancake uses 3/4 cup of milk.
y batch of pancake uses 9 cup of milk.
Therefore ( y ) x (3/4) = 9
![\frac{3y}{4} = 9 \\ 3y = 36 \\ y = \frac{36}{3} \\ y = 12](https://tex.z-dn.net/?f=%20%5Cfrac%7B3y%7D%7B4%7D%20%20%3D%209%20%5C%5C%203y%20%3D%2036%20%5C%5C%20y%20%3D%20%20%20%5Cfrac%7B36%7D%7B3%7D%20%20%5C%5C%20y%20%3D%2012)