Answer:
He needs to work for 40 whole hours
Step-by-step explanation:
In this question, we are tasked with calculating the amount a Tv will cost Bob in terms of the number of hours he needs to work.
Let’s look at the total cost he has to pay.
a. $500
b. 8% tax = 8/100 * 500 = $40
c. He is paying 2 bills of $35 each making a total of 2 * $35 = $70
The total amount he is to pay is thus; 500 + 40 + 70 = $610
Let’s look at his income ;
a. Bonus $45
b. Birthday gift $85
The total amount of money he has asides his salary to offset the bill is 45 + 85 = $130
The balance to pay from his salary would be $610 - $130 = $480
The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work
1/5x + 3 = 10
Subtract by 3 on both sides.
1/5x = 7.
Now to isolate the variable, flip the coefficient in front of the variable and multiply both sides by it.
5(1/5x) = 7(5)
x = 7(5)
x = 35
Now to check:
1/5(35) + 3 = 10
35/5 + 3 = 10
35/5 is 7.
7 + 3 = 10
10 = 10
A.true
Because congruent angles are exactly the same measure
Answer:
Below.
Step-by-step explanation:
a. Φ^2 − Φ − 1 = 0
Φ2 − Φ = 1
(Φ - 0.5)^2 - 0.25 = 1
(Φ - 0.5)^2 = 1.25
Φ - 0.5 = √(1.25) (We only take the positive root).
Φ = 0.5 + √(1.25)
b. I used Completing the square.
c. Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.