Answer:
f(x) = 5x − 26
Step-by-step explanation:
y + 6 = 5(x − 4)
y + 6 = 5x − 20
y = 5x − 26
f(x) = 5x − 26
1. We assume, that the number 92 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 100% equals 92, so we can write it down as 100%=92. </span>
<span>4. We know, that x% equals 46 of the output value, so we can write it down as x%=46. </span>
5. Now we have two simple equations:
1) 100%=92
2) x%=46
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=92/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 46 is what percent of 92
100%/x%=92/46
<span>(100/x)*x=(92/46)*x - </span>we multiply both sides of the equation by x
<span>100=2*x - </span>we divide both sides of the equation by (2) to get x
<span>100/2=x </span>
<span>50=x </span>
x=50
<span>now we have: </span>
<span>46 is 50% of 92
I hope this helps!
</span>
Answer:
26.50
Step-by-step explanation:
First we need to calculate the sales tax
25 * 6%
Changing to decimal from
25 * .06
1.50
Then we add the tax to the cost of the shirt
25+1.50
26.50
We owe 26.50
Answer:
The volume of the sculpture is 67.824 ft^3
Step-by-step explanation:
In this question, we are to calculate the volume of a conical sculpture, given the height of the sculpture and the circumference of the base.
Mathematically, the volume V of the sculpture is given by;
V =1/3 * π * r^2 * h
Now, we have the height directly from the question but we do not have the value of the radius.
We can obtain the value of the radius from the circumference of the base
Mathematically, the circumference C of the base of the cone is given by;
C = 2 * π * r
Inputing the value of the circumference, we have;
22.608 = 2 * 3.14 * r
r = 22.608/(2 * 3.14)
r = 22.608/6.28
r = 3.6 feet
Now plugging these values into the volume equation, we have
V = 1/3 * 3.14 * 3.6^2 * 5
V = 67.824 ft^3
