Answer: 1430
Step-by-step explanation: x + y + z = 2680
x = 2z - 100
y = 3z + 80
x + y = 5z - 20
6z - 20 = 2680
z = 450
y = 1430
Solution:
x = 800, y = 1430, z = 450
Answer: t + 20 = 60; 40 minutes are spent answering phone calls.
Step-by-step explanation: We know that 20 minutes are spent out of a 60 minute day of volunteer work. So, with the equation, t + 20 = 60, we can solve to find out that 40 minutes are spent answering phone calls.
12-6=6
10-4=6
And there you go.
8n = 3m + 1
~~~~~~~~~~~~~~~~~~~
8(-2) = 3m + 1
-16 = 3m + 1
-1 -1
-17 = 3m
--- ---
3 3
-17/3 = m
~~~~~~~~~~~~~~~~~~~
8(2) = 3m + 1
16 = 3m + 1
-1 -1
15 = 3m
--- ---
3 3
5 = m
~~~~~~~~~~~~~~~~~~~
8(4) = 3m + 1
32 = 3m + 1
-1 -1
31 = 3m
--- ---
3 3
31/3 = m
Answer:
a. f(x)=58-5(x-1); there are 58 boxes in the top row.
b. 273 boxes
Step-by-step explanation:
There are 33 boxes at the bottom row, and there are 5 fewer boxes than the row before it meaning that each row above the bottom row has five more boxes than the one below it.
Basically:
bottom row (with 33 boxes) -->5th row-->4th row-->3rd row-->2nd row-->1st row
each arrow adds five boxes, so if you add 5 boxes for each arrow, there is a total of 58 boxes on the 1st row.
check:
2nd row:
f(x)=58-5(x-1)
f(2)=58-5(2-1)
f(2)=58-5(1)
f(2)=58-5
f(2)=53
and we know that 58 (first row)-5=53 (second row; has to have five fewer boxes) so the function works.
now we can use the formula to find the other row values:
3rd row:
f(x)=58-5(x-1)
f(3)=58-5(3-1)
f(3)=58-5(2)
f(3)=58-10
f(3)=48
4th row:
f(x)=58-5(x-1)
f(4)=58-5(4-1)
f(4)=58-5(3)
f(4)=58-15
f(4)=43
5th row:
f(x)=58-5(x-1)
f(5)=58-5(5-1)
f(5)=58-5(4)
f(5)=58-20
f(5)=38
so, we have the row values from top to bottom:
58, 53, 48, 43, 38, 33
now we just have to add them up, giving us 273 boxes in total.