Answer:
<h2>
QS = 42</h2><h2>
</h2>
Step-by-step explanation:
R is midpoint
|<---------------- QS -------------------->|
Q---------------------R--------------------S
8x - 51 3x - 6
find: QS
QR = RS
8x - 51 = 3x - 6
8x - 3x = 51 - 6
5x = 45
x = 45/5
x = 9
QS = QR + RS
QS = (8x - 51) + (3x - 6)
plugin the value of x=9 into the equation above:
QS = (8(9) - 51) + (3(9) - 6)
QS = 72 - 51 + 27 - 6
QS = 42
Answer:
16 and 48
Step-by-step explanation:
let the 2 integers be x and 3x ← ratio 1 : 3
Then
3x - x = 32 ← difference between the integers
2x = 32 ( divide both sides by 2 )
x = 16
and 3x = 3 × 16 = 48
Since magnitude of difference is 32
We can also express the difference as
x - 3x = 32
- 2x = 32 ( divide both sides by - 2 )
x = - 16
and 3x = 3 × - 16 = - 48
The 2 integers are 16 and 48 or - 16 and - 48
The answer is J because when you add all the scores you get 76.
D=2n
.05n+.1d=3.5
I multiplied the nickels and dimes by these values because that is their actual monetary value
.05n=3.5-.1d
multiply everything by 20
n=70-2d
d/2=70-2d
.5d+2d=70
2.5d=70
d=28
n=14
so there are <u>28 dimes and 14 nickels
</u>checking this answer
28 dimes = $2.8
14 nickels = .70
2.8+.7=3.5
