<u>Answer: </u><em><u>h=80 is the final answer. *The answer must be have a positive sign.*</u></em>
Explanation:
<em><u>Switch sides of an equation.</u></em>
<em><u>3/4h=60</u></em>
<em><u>multiply by 4 both sides of an equation.</u></em>
<em><u>4*3/4h=60*4</u></em>
<em><u>simplify.</u></em>
<em><u>3h=240</u></em>
<em><u>divide by 3 both sides of an equation.</u></em>
<em><u>3h/3=240/3</u></em>
<em><u>simplify.</u></em>
<em><u>240/3=80</u></em>
<em><u>80*3=240</u></em>
<em><u>3*80=240</u></em>
<em><u>240/80=3</u></em>
<em><u>h=80</u></em>
<em><u>Hope this helps!</u></em>
<em><u>Thanks!</u></em>
<em><u>Have a great day!</u></em>
<h2>
Step-by-step explanation:</h2>
Given equations;
y₁ = 3x - 8 -------------------(i)
y₂ = 0.5x + 7 --------------------(ii)
To fill the table, substitute the values of x into equations (i) and (ii)
=> At x = 0
y₁ = 3(0) - 8 = -8
y₂ = 0.5(0) + 7 = 7
=> At x = 1
y₁ = 3(1) - 8 = -5
y₂ = 0.5(1) + 7 = 7.5
=> At x = 2
y₁ = 3(2) - 8 = -2
y₂ = 0.5(2) + 7 = 8
=> At x = 3
y₁ = 3(3) - 8 = 1
y₂ = 0.5(3) + 7 = 8.5
=> At x = 4
y₁ = 3(4) - 8 = 4
y₂ = 0.5(4) + 7 = 9
=> At x = 5
y₁ = 3(5) - 8 = 7
y₂ = 0.5(5) + 7 = 9.5
=> At x = 6
y₁ = 3(6) - 8 = 10
y₂ = 0.5(6) + 7 = 10
=> At x = 7
y₁ = 3(7) - 8 = 13
y₂ = 0.5(7) + 7 = 10.5
=> At x = 8
y₁ = 3(8) - 8 = 16
y₂ = 0.5(8) + 7 = 11
=> At x = 9
y₁ = 3(9) - 8 = 19
y₂ = 0.5(9) + 7 = 11.5
=> At x = 10
y₁ = 3(10) - 8 = 22
y₂ = 0.5(10) + 7 = 12
The complete table is attached to this response.
(ii) To find the solution of the system of equations using the table, we find the value of x for which y₁ and y₂ are the same.
As shown in the table, that value of <em>x = 6</em>. At this value of x, the values of y₁ and y₂ are both 10.
Answer:
$85
Step-by-step explanation:
<u>Earning:</u>
<u>Spending:</u>
- $25 + $10 + $25 + $35 = $95
<u>Amount available for saving:</u>