Answer:
The numbers are 56, 280 and 156
Step-by-step explanation:
Let
x -----> the first number
y ----> the second number
z ----> the third number
we know that
y=5x -----> equation A
z=x+100 ----> equation B
x+y+z=492 ----> equation C
Solve the system of equations by substitution
substitute equation B and equation A in equation C and solve for x
x+5x+x+100=492
7x=492-100
7x=392
x=56
<u><em>Find the value of y</em></u>
y=5x -----> y=5(56)=280
<u><em>Find the value of z</em></u>
z=x+100 ----> z=56+100=156
therefore
The numbers are 56, 280 and 156
Your answer is B! I hope this helped.
Answer:
slope is 5, y intercept is -7
Step-by-step explanation:
In the form y=mx+c, m is the slope and c is the y-intercept.
Rearrange the formula to fit this form:
5x-y=7
-y=7-5x
y=5x-7
∴m(slope)=5
∴c(y-intercept)=-7
Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
<u>5% disount</u>: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
<u>10% discount</u>: (1 -10%)·p = $72
p = $72/0.90 = $80
<u>25% discount</u>: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
<em>Additional comment</em>
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
- add back that 5% to the 5%-discounted price: $76 +4 = $80
- multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.
