Answer:
3×y+5=15
Step-by-step explanation:
Product means multiplication
Use a variable to replace the unknown number
Plus five is equal to fifteen.
(7a+3)+(-a-5)=-16
Combine like terms:6a-2=-16
Add 2 to both sides: 6a=-14
Divide both sides by 6: a=-14/6
Simplify: a=-7/3
Step-by-step explanation:
15X - 4Y when X=7 Y=8
=15*(7) - 4*(8)
= 105 - 32
=73
Answer:
![4\frac{23}{24}](https://tex.z-dn.net/?f=4%5Cfrac%7B23%7D%7B24%7D)
Step-by-step explanation:
We want to simplify:
![2\frac{1}{3}(4\frac{1}{4}\div 2)](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B3%7D%284%5Cfrac%7B1%7D%7B4%7D%5Cdiv%202%29)
We convert to improper fraction to get:
![\frac{7}{3}(\frac{17}{4}\div 2)](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B4%7D%5Cdiv%202%29)
We now deal with the parenthesis by multiplying with the reciprocal of 2.
![\frac{7}{3}(\frac{17}{4}\times \frac{1}{2} )](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B4%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%20%29)
This gives:
![\frac{7}{3}(\frac{17}{8})](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B8%7D%29)
We multiply to get:
![\frac{7}{3}(\frac{17}{8})](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B3%7D%28%5Cfrac%7B17%7D%7B8%7D%29)
This simplfies to:
![\frac{119}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B119%7D%7B24%7D)
We write as mixed number
![4\frac{23}{24}](https://tex.z-dn.net/?f=4%5Cfrac%7B23%7D%7B24%7D)
Answer: 30 mph.
Total speed = S1 + S2
where total speed is
for the average speed goal (60m ph), S1 is the speed for the first mile (30 mph)
and S2 is for speed for the second mile which is unknown. To solve, simply subtract
S1 from total speed.
<span>60 mph - 30 mph= 30 mph</span>