Answer:
18
Step-by-step explanation:
81π=πr^2
r= 9,-9
9+9=18
An isosceles triangle has two identical angles.
The three angles need to add up to 180 degrees.
If one angle is 100 then the other two angles added together need to equal 180-100 =‘80 degrees.
Since two angles need to be the same the other angles are 80 / 2 = 40 degrees each.
The answer is 40
Answer:
A + B = 24
16A + 20B = 434
Step-by-step explanation:
To write a system of equations for this scenario, let's say that A represents the number of hours machine A ran, and B represents the number of hours machine B ran.
The first equation will be:
A + B = 24
because the total number of hours ran is 24.
The second equation will be:
16A + 20B = 434
because the total number of items made is 434.
A + B = 24
16A + 20B = 434
First solve for one variable, and let's just do A.
Using the first equation, A + B = 24, A is equal to 24 - B.
Substitute this value to the second equation.
16 (24 - B) + 20B = 434
384 - 16B + 20B = 434
4B = 50
B = 12.5
Now use this value of B to find the value of A.
A + 12.5 = 24
A = 11.5
Machine A ran for 11.5 hours, and Machine B ran for 12 hours.
The problem = n - 8 = -4
Switch it around and it becomes:
-4 + 8 = n
-4 + 8 = 4
n = 4
~Hope this helped~
<u>Answer:</u>
106 items
<u>Step-by-step explanation:</u>
We know that:
revenues > costs
7.5x – 100 > 79.86 + 5.8x
7.5x - 5.8x > 79.86 + 100
1.7x > 179.86
x > 179.86 / 1.7
x > 105.8
This means that the company will need to sell at least 106 items (the smallest integer greater than 105.8) to make a profit.
The inequality which will determine the number of least items that need to be sold to make a profit is x ≥ 106
