Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
_____
<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
Answer:
- <u>BOX 1 </u>= 672.00
(14 * 12 = 168
168 * 4 = $ 672 )
2. <u>BOX 2</u> = 282.95
(Cell phone= $45 A MONTH
Eating outside = $50 A MONTH
12 .50 * 4 = 50 (4 WEEKS A MONTH )
Transportation = 131.2 A MONTH
32.80 * 4 = 131.2 (4 WEEKS A MONTH )
Movie = $16.75 A MONTH
Charity = $ 40 A MONTH
10 * 4 (4 WEEKS A MONTH )
<u> MONTHLY EXPENSE </u> = 45 + 50 + 131.2 + 16.75 + 40
<u> MONTHLY EXPENSE </u> = 282.95 )
3. <u>BOX 3</u> = 389.05
Money that can be saved = Monthly income - Monthly expense
Money that can be saved = 672 - 282.95
= 389.05
<h2><em>
<u>please give brainliest </u></em></h2>
The total amount that Shelley earned is $423.88.
Activity 3
1) 2m^2(4m^2 + 3m + 2)
2) (x + 4)^2 (x - 4)
3) (x + 9)(x - 7)
4) 5y(17y - 4z)
5) (2x - y)(6x + 5y)
Activity 4
1) 80 units because when you sub h = 9, you get 400 as the answer and because it’s a square, you square root 400 which is 20 units per side.
2) x = 7cm because when you multiply (x + 5)(x - 3), you get x^2 + 2x - 15 = 48 and when you solve it you get x is equal to 7, -9, because the length of the rectangle is positive x is equal to 7.
3) the binomial would be (9x + 1)^2.
Answer:
y = 2x + 5
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1)
With this information, we can create 2 points: (2, 9) and (5, 15)
Plug in the points:
(15 - 9) / (5 - 2)
6 / 3
= 2
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
15 = 2(5) + b
15 = 10 + b
5 = b
Plug in the slope and b into the equation:
y = 2x + 5 is the equation of the line
