Answer:
1. 95/96
2. 27/7
3. -8/245
Explanation:
1. First add together the two fractions 3/4 + 5/6. Find the least common denominator. In this case we can use 12. The 3/4 changes to 9/12 and the 5/6 changes to 10/12. adding these together we get 19/12. Next we divide 8/5 by 19/12. We use the keep, change, flip method to change the divide to multiply. keep the first fraction, change divide into multiply, and then take the reciprocal of the second fraction. You will now do 5/8 x 19/12. We now get 95/96 (I made a mistake in the answers the first time because I was rushing)
2. Divide the 3/2 and the 8/9 first. I will use the KCF (keep, change, flip) method to divide. 3/2 x 9/8 = 27/16 Now we divide the 7/16. After using KCF we can simplify and cross cancel (simplfy after changing the fraction and signs) 27/16 x 16/7 --> 27/1 x 1/7 The answer will come out to be 27/7
3. since there are no parentheses divide first. Use KCF and after you get the answer multiply (it is the same using negative numbers just watch out for signs)
Answer:
Father's age is 50, Son's age is 10
Step-by-step explanation:
X+Y=60
X-Y= 40
Let X represent the Father's age while Y represents the Son's age;
therefore, from the two equations, the value of X is
X= 60-Y
X= 40+Y then putting in the value of x
(40+Y) + Y= 60,
40+2Y=60
2Y=60-40 =20
Y= 10,
Now that we know the value of Y, we can get the value of x
If X+Y=60, then
X+10=60,
X=60-10,
X= 50
Answer:
B. 43°
Step-by-step explanation:
Internal angles of the triangle are:
So It is a right triangle and the missing angle is:
Given that t<span>he
manager of Theatre A says that they usually go through about 15 cups of
popcorn kernels and about 5 cups of oil each weeknight.
Then, the ratio </span><span>value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.
Given that t</span><span>he manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.
Then, the </span>ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.
Given that t<span>he manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.
Then, the </span>ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.
