Answer:
x = 5
Step-by-step explanation:
A.) If Lucy sells 1 necklace, her sales would equal to $15.99. Then her profit would be:
Profit = $15.99 - $3.38(1) - $5.57(1)
Profit = $7.04
The fraction of the sale price of the necklace in profit is denoted as x.
15.99x = 7.04
x = 704/1559
b.) This is the same as part (a) but in decimal form. Just simply divide 704 by 1559. The answer is 0.44
c.) If Lucy's sales is $223.86 and each necklace costs $15.99, then the number of necklaces sold is $223.86 ÷ $15.99/necklace = 14 necklaces
Her profit for the 14 necklaces sold would be:
$223.86 - $3.38(14) - $5.57(14) = $98.56
Answer:
(3, - 1)
Step-by-step explanation:
5x - 4y = -11
2x + 3y = -9
Multiply the top equation by 2 and the bottom equation by - 5 to cancel out the x's.
10x - 8y = - 22
- 10x - 15y = 45
Cancel out x's.
-8y = - 22
- 15y = 45
Add like terms.
- 23y = 23
Can't have a negative variable to flip them.
-23 = 23y
Divide.
y = - 1
Input y into one of the equations and solve for x.
2x + 3(-1) = -9
Simplify.
2x -3 = -9
Cancel out -3 by adding 3.
2x = -6
Divide.
x - -3
Amanda Billy
1st week 10 5
2nd week 20 10
3rd week 30 20
4th week 40 40
<span>
A) Amanda's method is linear because the number of minutes increased by an equal number every week.</span>
common difference is 10.
1st week 0 + 10 = 10
2nd week 10 + 10 = 20
3rd week 20 + 10 = 30
4th week 30 + 10 = 40
Billy's method is exponential:
5(2)^x
1st week 5(2⁰) = 5(1) = 5
2nd week 5(2¹) = 5(2) = 10
3rd week 5(2²) = 5(4) = 20
4th week 5(2³) = 5(8) = 40
Hi there! :)
4x + 5x + 12 = 6(x - 2)
Combine like terms and distribute the coefficient outside of the parenthesis:
9x + 12 = 6(x) + 6(-2)
9x + 12 = 6x - 12
Subtract 6x from both sides:
9x - 6x + 12 = 6x - 6x - 12
3x + 12 = -12
Subtract 12 from both sides:
3x + 12 - 12 = -12 - 12
3x = -24
Divide both sides by 3:
3x/3 = -24/3
x = -8.
