Answer: The fabric costs $7.60 per yard.
Step-by-step explanation: First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50.
Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.
The last stap to this is to divide it by 1 1/4 to get the final cost per yard:
The fabric costs $7.60 per yard.
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:

This implies that Jesse will cover 30y in y days
For Amir:

This implies that Amir will cover 35x in x days
Because Amir starts a day later,

So, we have the following equations:



To get the number of days when they read the same number of pages, we have:

Substitute values for Jesse and Amir

Substitute x + 1 for y

Open bracket

Collect Like Terms


Solve for x




Answer:
Maria
Step-by-step explanation:
Find the ratio of powdered mix to water for each drink.
For Maria:
(2/3 cup) / (2 gallon)
= 1/3 cup per gallon
For Franco:
(1 1/4 cup) / (5 gallon)
= (5/4 cup) / (5 gallon)
= 1/4 cup per gallon
Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.
Answer:
Large books = 11
Small books = 6
Step-by-step explanation:
7x + 5y = 107
7x = 107 - 5y
x = 107/7 - 5y/7
5x + 7y = 97
5 (107/7 - 5y/7) + 7y = 97
535/7 - 25y/7 + 7y = 97
535/7 + 24y/7 = 97
535 + 24y = 679
24y = 679 - 535
y = 144/24 = 6: So x =
7x + 5(6) = 107
7x = 107-30
x = 77-7 = 11