We are told that y varies directly with x.
Therefore
y = k*x
where
k = the constant of variation
The given table and the ratio of k=y/x is shown below.
x y k
--- ------ --------
6 10 1.667
9 15 1.667
12 20 1.667
15 25 1.667
Answer:
k = 1.667
y = 1.667x
Answer:
$104.70
Step-by-step explanation:
The equation would be set up like this: 80.45 + 20.50(3) - 37.25. You started off with $80.45 in your bank account and deposited, or added, $20.50 every day on Tuesday, Wednesday and Thursday. That would mean you added $20.50 three times. Adding $80.45 + $20.50 + $20.50 + $20.50, simplified to $80.45 + $20.50(3) would get you $141.95 in total. Then, on Friday, you withdraw $37.25, getting the equation $141.95 - $37.25, leaving $104.70 for the weekend.
The answer should be (7x+1)(7x-1)
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.
2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.
Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!
We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.
Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!
2 x 28 = 56.
So 2/5 is the same as 56/140.
The answer is D) 56 Dogs/140 Cats.
Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
Answer:
1184.5
Step-by-step explanation:
150+400+180+300=1030
1030 × 15% = 154.5
(15% is also 0.15)
1030 + 154.5 = 1184.5
I hope this helps you :)