Answer:
10
Step-by-step explanation:
Given: 20 yards of ribbon in total. Need to make 2 yards each.
To find out how many yards you need to cut, divide:
20 / 2 = 10
So, you need to make 10 cuts for the 20 yards.
Hope this helped.
Answer:
43/12
Step-by-step explanation:
First we must find a common denominator for all 3 fractions, 1/2 cup, 2 1/3 cup, and 3/4 cup all share 12 as a common denominator.
However, let's convert 2 1/3 cup into an improper fraction: there are 2 (3/3 cups) here multiply (3/3) and (2/1) you get 6/3. Finally, add the remaining 1/3 to 6/3 and you get 7/3.
Now, to get all these fractions to have the same common denominator.
(1/2) ×(6/6)=(6/12)
(7/3)×(4/4)=(28/12)
(3/4)×(3/3)=(9/12)
Add them all together and your answer is: (43/12)
Answer:
x = 1
Explanation:
Rule: log(a) + log(b) = log(ab)
cancel out log on both sides
relocate constant variable
take 3 as a common factor
divide both sides by 3
middle term split
factor common terms
collect into groups
set to zero
relocate variables
There must be a positive solution for log, so the solution is only x = 1
You have to combine like terms, so the variable (x, y, s, d, c....) and the exponents must be the same in order to combine them.
For example:
x² + x³ Since they don't have the same exponent, you can't combine them
y² + 3y² = 4y²
23x + x = 24x
4. 2s² + 1 + s² - 2s + 1 You can rearrange it if it makes it easier
2s² + s² - 2s + 1 + 1 = 3s² - 2s + 2
5. 5t² - 2t - 1 - (3t² - 5t + 7) Distribute/multiply the - to (3t² - 5t + 7)
5t² - 2t - 1 - 3t² + 5t - 7 = 2t² + 3t - 8
Do the same for #9 and #10, and you should get:
9. 2k² + 5k - 9
10. 6y³ - 7y² - 6y - 12
Answer
He needs to buy 27 Cows
Step-by-step explanation:
if the ratio from horses to cows is 5-3 then you multiply 5 by the number to get 45 and also multiply it by 3
5 x <u>9</u> = 45
3 x <u>9</u> = 27
