Answer:
36
Step-by-step explanation:
PQ + QR = PR
substituting the values we have:
8 + 7x = 9x
8 + 7x - 7x = 9x - 7x
8 = 2x
8/2 = 2x/2
4 = x
Now, for the value of PR:
9 x 4
36
Answer:
x2 + 14x – 6y
Step-by-step explanation:
Answer:
Multiply the numbers until you get the same denominator (Bottom number) for both fractions. I will do #1 to show you.
1/3 1/2
Both 3 and 2 go into 6, so I will use that.
When multiplying the bottom , you have to do the same to the top, so...
2/6 OR 3/6
3/6 is greater, so that is the answer.
Therefore, 1/2 is more
Another way you can do this is to draw a pizza, a section off parts of it according to the fractions.
Hope this helped.
Answer:
The number of Pencils purchased and the cost of pencils has a proportional relationship.
Step-by-step explanation:
In order to figure out if a proportional relationship between two variable exists,
- All you need is to check if relationships between two variables have equivalent ratios.
- If the ratios between two variables is same, it means a proportional relationship between two variable exists.
Lets take a simple example:
As
2/10 = 9/45 is a TRUE proportion.
The reason is that both fractions reduces to 1/5, and
because 10 × 9 = 2 × 45.
So
In the equation it needs to be determined whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?
When we are given that:
In other words each pencil costs $0.25.
As each pencil costs $0.25, it means:
2 pencils cost $0.5, 3 pencils cost $0.75, and 4 pencils cost $1 and so on.
Thus
Cost ÷ No of Pencils Purchased = 0.25 ÷ 1 = 0.5 ÷ 2 = 0.75 ÷ 3 = 1 ÷ 4
And the ratio is same.
i.e. cost per pencil = 0.25 : 1
As all of the ratios are same, we can determine that it has a proportional relationship.
Therefore, the number of Pencils purchased and the cost of pencils has a proportional relationship.
Answer:
Step-by-step explanation:
The question is slightly ambiguous. The problem is, do you find the first 40 hours using 10x and then the second equation using x >40. I don't think so, but it should be made clear. It turns out that the first 40 hours does equal 400 so that you can use the second expression with no worries.
w(53) = 15(53 - 40) + 400
w(53) = 15(13) + 400
w(53) = 195 + 400
w(53) = 595