For this case, the first thing we must do is define variables.
We have then:
t: number of hours
F (t): total charge
We write the function that models the problem:
Where,
b: represents an initial fee.
We must find the value of b.
For this, we use the following data:
Her total fee for a 4-hour job, for instance, is $ 32.
We have then:
From here, we clear the value of b:
Then, the function that models the problem is:
Answer:
the function's formula is:

Answer:
4 nickels
12 dimes
Step-by-step explanation:
Dimes are worth .1 each while nickels are .05 each.
We have 8 more dimes than nickels. Let d represent number of dimes and n for number of nickels. This means we have d=8+n.
If all our nickels and dimes together are worth 1.4 then we have another equation .1d+.05n=1.4
Lets put our equations together:
d=8+n
.1d+.05n=1.4
‐-----------------Plug first equation into second.
.1(8+n)+.05n=1.4
Distribute
.8+.1n+.05n=1.4
Combine like terms
.8+.15n=1.4
Subtract .8 on both sides
.15n=.6
Divide both sides by .15
n=.6/.15=4
Remember there are 8 more dimes so d=8+4=12.
This are the right steps
Step 1: first you divide the both size by 7 because there is 7 a's
7a/7 = 28/7
Step 2: You solve the equation
7a/7= a. 28/7 = 4
So, the answer is a = 4
not 7 = 4
Answer:
The BEST statement describes how the triangle could be altered in order to make it a right triangle
B.
One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.
Step-by-step explanation:
Triangle ABC has the side lengths 6 in., 9 in., and 11 in.
The only condition is that satisfy to become Δ ABC a Right angle triangle is
Longer leg (one inch remove) = 9 - 1 = 8 inch
New hypotenuse = 10 inch
So that Pythagoras theorem must satisfy

So (Hypotenuse)² = 10² = 100
(Shorter leg)² = 6² = 36
(Longer leg)² = 8² = 64
So we have,
(Shorter leg)² + (Longer leg)² = 36 + 64
= 100
= (Hypotenuse)²
Therefore, Δ ABC is right Triangle By Converse of Pythagoras Theorem.
Therefore,
The BEST statement describes how the triangle could be altered in order to make it a right triangle
B.
One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.
Let price of the Caleb's groceries was $x.
Given that tax rate is 2.5% or 0.025
Then sales tax is given by product of 0.025 and x.
which is 0.025x.
Given that tax paid is $1.60 so both must be equal

divide both side by 0.025


Hence final answer is $64.