Answer:
$21
Step-by-step explanation:
$20 for the 500 minutes
We still have to pay for 10 minutes.
10 cents per minute.
10centsx10 minutes.
100 cents, also known as 1 dollar.
$20 plus $1 means the answer is $21.
Hope this helps!
-AxekickNebulite
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
(4x^4-1)÷x+1
(256x-1)÷x+1
256-1+1
256
The first step shows the problem
The second step powers 4x 4 times
The third step removes x
The 4th step shows the problem after x is removed.
The 5th step is the answer: 256
Answer:
Volume = 684 in^3
Step-by-step explanation:
To start, the equation for Volume = L*W*H
So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:
6*6*6 to get the volume of just it
216
Next. lets get the rectangular prism.
6*6*13
468
Last, combine these.
684 in^3