MATHEMATICS HIGH SCHOOL

A restaurant has one type of lemonade that is 12% sugar and another that is 7% sugar. How many gallons of each type does the restaurant need to make 20 gallons of a lemonade mixture that is 10% sugar?A) 12 gallons of the 12%, and 8 gallons of the 7%
B) 10 gallons of the 12% and 10 gallons of the 7%
C) 8 gallons of the 12% and 12 gallons of the 7%
D) 2 gallons of the 12% ad 18 gallons of the 7%

Answers

Answer 1
Answer:

Answer: 12 gallon of 12% sugar and 8 gallon of 7% sugar.

Step-by-step explanation:

Let we use x gallon of 12% of sugar mixture and y gallon of 7% of sugar mixture.

Thus, According to the question,

The resultant mixture having quantity 20 gallon,

Therefore, x + y = 20 ------(1)

Also, Sugar in x gallon mixture + sugar in y gallon mixture = sugar in  resultant mixture.

Again according to the question,

Resultant mixture has 10% of sugar.

Therefore, 12% of sugar in x gallon + 7% sugar in y gallon = 10% sugar in 20 gallon

0.12 x + 0.07 y = 0.2

12 x + 7 y = 200  --------(2)

7× equation (1),

We get, 7x + 7y = 140 -----(3)

Equation(1) - equation (3)

5 x = 60

x = 12

By putting the value of x in equation (1),

12 + y = 20

⇒ y = 8

Thus, He will add 12 gallon of 12% sugar mixture and 8 gallon of 7% sugar mixture for obtaining 20 gallon of 10% sugar mixture.

Therefore, First Option is correct.
Answer 2
Answer: 10% of 20 is 2
12 × 0.12 (this is 12%) = 1.44
8 × 0.07 (this is 7%) = 0.56
1.44 + 0.56 = 2.00

Therefore, the correct answer is A.

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What 13 out of 20 in a precent

Answers

To solve this, you'll have to divide 13 and 20.
You should get, 0.65. So, the answer is 65%
13/20* (100/100)
= (13/20* 100)/ 100
= 65/100
= 65%

The final answer is 65%.

1. Find the midpoint of the segment with the endpoints: (5,9) and (-7-7)

Answers

Answer:

(-1,8)

Step-by-step explanation:

4x-6=x+9
Solve the equation show all steps

Answers

Answer:

x= 5

Step-by-step explanation:

4x-6=x+9

Move the -6 to the other side of the equation by adding 6 to each side.

4x-6 + 6 =x+9 + 6

4x = x+15

Now move the x on the right side of the equation to the left side of the equation by subtracting x from each side.

4x - x = x + 15 - x

3x = 15

Now to isolate the x, divide both sides of the equation by 3.

3x/3 = 15/3

x = 5

Check your answer by substituting x = 5 into the original equation:

4x-6=x+9

4(5) - 6 = 5 + 9

20 - 6 = 14

14 = 14 >>> so this answer, x=5, is correct.

Which of the following is another way to represent 5 2/6?6 8/6
5 6/8
4 12/6
4 8/6

Answers

5 = 30/6
1 = 6/6
5 - 1 = 4
4 6/6 + 2/6
4 8/6

Answer:

4 8/6

Step-by-step explanation:

Hey, Whats The answer please explain your answer marking brainliest:D. Please Help Im tired..

Answers

Answer:

The answer is C

Step-by-step explanation:

-3+3 is 0

Answer:

C

Step-by-step explanation:

The distance between -3 and 0 can be calculated by the absolute value of the difference of the two numbers. -3-0 = -3. |-3| = 3

Leonardo makes the following purchases at the store:1 backpack for $16.89
5 spiral notebooks for $1.19 each
1 pack of mechanical pencils for $3.68
2 packs of lead refills for $1.88 each
Leonardo has 2 coupons, each for 45 cents off on the purchase of a pack of lead refills. The coupons are applied after tax and the sales tax is 5% of the purchase. If Leonardo paid $30.89 , then he _____ for his purchase.
a.
did not pay enough
b.
paid the correct amount
c.
paid $0.04 too much
d.
paid $0.57 too much

Answers

The answer is option B.

Answer:

b

Step-by-step explanation:
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