Answer:
0 2
1 4 ⟌ 3 7
- 0
3 7
- 2 8
9
2 r 9
for 37 divided by 14
0 7
1 3 ⟌ 9 6
- 0
9 6
- 9 1
5
7 r 5
for 96 divided by 13
0 2 0
4 1 ⟌ 8 5 8
- 0
8 5
- 8 2
3 8
- 0
3 8
for 858 divided by 41
20 r 38
Step-by-step explanation:
4 p.m to 8 p.m is 4 hrs.....so she worked 4 regular hrs
8 p.m. to 1 a.m is 5 hrs...she she worked 5 hrs for 1.5 times as much
4x + 5(1.5x) = 92
4x + 7.5x = 92
11.5x = 92
x = 92 / 11.5
x = 8 <==== so she charged $ 8 per hr from 4 pm. to 8 pm. and (8 * 1.5) = $ 12 per hr for hrs after 8 p.m
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:
The volume of the solid is π/40 cubic units.
John has $5,000 in his savings. That’s the total.
He has to give his sister $50 for her birthday.
He also spends $450 for his car payment.
We can easily put this into an equation.
50x-450=5000
Now we have to solve it.
50x-450=5000
-450 -450
50x=5000-450
50x=4550
50x/50=4550/50
x=91
So it will take 91 months to spend his $5,000.
Answer:
multiplication.
Step-by-step explanation:
A good way to remember the order of operations is Please Excuse My Dear Aunt Sally, or PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If multiplication and division are in the same problem, you go in order. Same with addition in subtraction. What that means in this example is that since in PEMDAS, the M is first, you would multiply first instead of subtracting. :)
