Answer:
12 hours
Step-by-step explanation:
Let Theo's siste can paint a fence in x times
Given.
Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.
Apply cross multiplication
Theo’s sister to paint the fence in 12 hours.
-3(6x+5)-2(1-17x)=3(5+5x)
Mutiply the first bracket by -3
(-3)(6x)= -18x
(-3)(5)= -15
Mutiply the second bracket by -2
(-2)(1)= -2
(-2)(-17x)= 34x
Mutiply the third bracket by 3
(3)(5)= 15
(3)(5x)= 15x
-18x-15-2+34x= 15+15x
-18x+34x-15-2= 15+15x
16x-17= 15+15x
move 15 to the other side
sign changes from +15 to -15
16x-17-15= 15-15+15x
16x-32= 15x
move -32 to the other side
sign changes from -32 to +32
16x-32+32=15x+32
16x= 15x+32
move 15x to the other side
sign changes from +15x to -15x
16x-15x=15x-15x+32
x= 32
Answer: x= 32
Answer:
54 -3n²
Step-by-step explanation:
The square of a number (n) is represented by n². Three times that value is represented by 3n².
The relation "a is subtracted from b" is represented as ...
b - a
When 3n² is subtracted from 54, the appropriate representation is ...
54 -3n²
Answer: After washing 20 cars together, each team will have raised the same amount in total.
Step-by-step explanation:
Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.
The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be
4x + 24
The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be
x + 84
For both amounts to be equal, the number of cars would be
4x + 24 = x + 84
4x - x = 84 - 24
3x = 60
x = 60/3
x = 20
To make this a little clearer, let's give the pairs of inequalities the same denominator:
<span>Question 1:
</span>
?
First, apply the common denominator to the first fraction:
Do the same for the second:
Nest, compare the two fractions:
Therefore:
>
<span>
Question Two:</span>
?
Apply the common denominator to fraction one:
Fraction two:
Evaluate:
>
Therefore:
<span>
> </span>
Hope this helps!