Answer:
<h2>x = 12</h2><h2 />
Step-by-step explanation:
2x + 5 = 3x - 7
5 + 7 = 3x - 2x
12 = x
She spent $310 on the singing camp.
MY WORK:
I multiplied $86.50*20 because $86.50 is the amount she deposited for 20 months. $86.50*20=$1740.00
Then I multiplied $24.50*20 because she spent $24.50 for 20 months. $24.50*20= $490.00
Then I subtracted $1740.00-$490.00 because she spent $490 out of her bank account. $1740.00-$490.00=$1240.00
Finally, because its 1/4 of her money, I divided $1240.00 by 4. $1240 divided by 4= $310
Hope this helps!!
:)
Answer:
55 = 5 × 11
Step-by-step explanation:
The only prime factors of 55 are 5 and 11, thus
55 = 5 × 11
Answer:
$10
Step-by-step explanation:
Let a = the amount Angela has saved.
Let e = the amount Eli has saved.
"Eli has saved $8 more than 1/3 of Angela's savings."
e = a/3 + 8
"If they each save $10 more." then
Eli will have: e + 10
Angela will have a + 10
"Eli will have saved $4 more than Angela's savings."
e + 10 = a + 10 + 4
This equation simplifies to: e = a + 4
We have a system of two equations in two variables.
e = a/3 + 8
e = a + 4
Since both equations are solved for e, we just equate the right sides.
a/3 + 8 = a + 4
Subtract a/3 from both sides. Subtract 4 from both sides.
a/3 - a/3 + 8 - 4 = a - a/3 + 4 - 4
4 = (2/3)a
Multiply both sides by 3/2
(3/2)4 = (3/2)(2/3)a
6 = a
a = 6
Angela has $6.
e = a + 4 = 6 + 4 = 10
Eli has $10.
Answer:
x=30
Step-by-step explanation:
2x+2x+x+x=180
6x=180
x=30