Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
Answer:
$22.50
Step-by-step explanation:
Find 25% of 30 and then take away that amount from 30.
Answer:
y - 7 = -4/3(x + 1)
Step-by-step explanation:
<u>Given</u>
<u>Convert to point slope form</u>
y - y1 = m(x - x1)
m: represents what the slope is
y - 7 = -4/3(x + 1)
<u>Distribute -4/3</u>
-4/3 * x = -4/3x
-4/3 * 1 = -4/3
y - 7 = -4/3x - 4/3
<u>Add seven in both sides</u>
21/3 -4/3 = 17/3
y = -4/3x + 17/2
<u>Answer</u>
linear equation: y = -4/3x + 17/2
point-slope form: y - 7 = -4/3(x + 1)
Answer:
1.2
Step-by-step explanation:
First make -1.5 equal to 0.
We'll have to add 1.5, right?
So 1.5 is in 2.7.
So now its 0 + ? = ?
2.7 - 1.5 = 1.2
So 0 + 1.2 = 1.2
Hope this helped.
Answer:
D
Step-by-step explanation:
one yard is 3 feet
100x3=300
