Question:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
It will take 6 days
Step-by-step explanation:
For Jesse:
![Rate = 30\ pages/day](https://tex.z-dn.net/?f=Rate%20%3D%2030%5C%20pages%2Fday)
This implies that Jesse will cover 30y in y days
For Amir:
![Rate = 35\ pages/day](https://tex.z-dn.net/?f=Rate%20%3D%2035%5C%20pages%2Fday)
This implies that Amir will cover 35x in x days
Because Amir starts a day later,
![y = x + 1](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%201)
So, we have the following equations:
![Jesse = 30y](https://tex.z-dn.net/?f=Jesse%20%3D%2030y)
![Amir= 35x](https://tex.z-dn.net/?f=Amir%3D%2035x)
![y = x + 1](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%201)
To get the number of days when they read the same number of pages, we have:
![Jesse = Amir](https://tex.z-dn.net/?f=Jesse%20%3D%20Amir)
Substitute values for Jesse and Amir
![30y = 35x](https://tex.z-dn.net/?f=30y%20%3D%2035x)
Substitute x + 1 for y
![30(x+1) = 35x](https://tex.z-dn.net/?f=30%28x%2B1%29%20%3D%2035x)
Open bracket
![30x+30 = 35x](https://tex.z-dn.net/?f=30x%2B30%20%3D%2035x)
Collect Like Terms
![30 = 35x-30x](https://tex.z-dn.net/?f=30%20%3D%2035x-30x)
![30 = 5x](https://tex.z-dn.net/?f=30%20%3D%205x)
Solve for x
![\frac{30}{5} = \frac{5x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B5%7D%20%3D%20%5Cfrac%7B5x%7D%7B5%7D)
![\frac{30}{5} = x](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B5%7D%20%3D%20x)
![6 = x](https://tex.z-dn.net/?f=6%20%3D%20x)
![x = 6](https://tex.z-dn.net/?f=x%20%3D%206)
The answer is 3 because 1/3 of 3 is 1 and 1/3 of 9 is 3 and 3 times 1 is 3
Answer: 3
At some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
<h3> How did we figure this out?</h3>
Lola is making greeting cards, which she will sell by the box at an arts fair. She paid $50 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $10 per box of cards.
We are going to use 50, 8 and 10 to find are answer.
Therefore, we are going to divide the numbers:
![\boxed{50/10}](https://tex.z-dn.net/?f=%5Cboxed%7B50%2F10%7D)
- Division problem
- 50/10
- 8 x ? = 40
<h3 /><h3>What is the missing number?</h3>
First, we need to figure out 50/10:
![\boxed{50/10=5}](https://tex.z-dn.net/?f=%5Cboxed%7B50%2F10%3D5%7D)
![\boxed{8x5=40}](https://tex.z-dn.net/?f=%5Cboxed%7B8x5%3D40%7D)
![5=40\\(50/10=5=8x5=40)](https://tex.z-dn.net/?f=5%3D40%5C%5C%2850%2F10%3D5%3D8x5%3D40%29)
Therefore, at some point, she will sell enough cards so that her sales cover her expenditures. So, the correct answer is ($40)
I think the answer is 33510.32in³
Answer:
the answer is 611.2
how,-3.3x
611.2
=6
there before 614.2 there come always+if there is nothing
then,there is- before-3.3x then rule=
<h3>- + +=-</h3>
so we have to substract it