If there's 4 quarts in 1 gallon, how many gallons are in 200 quarts

Answers

Answer 1
Answer:

Answer:

the answer is 50 gallons

Step-by-step explanation:

200/4 = 50


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During the lunch break a deli sold 36 large sodas. If the ratio of large sodas sold to small sodas sold was 4:1, how many sodas were sold?

Answers

36/x = 4/1 4x=36 x=9 + 36 = 45
Since for every small soda 4 large sodas were sold U divide 36 by 4. You get 9 so that is the total of small sodas. Then add 9 and 36 and get 45 total sodas. :) hope this helped

1. At a fundraiser breakfast, the bill for 3 glasses of orange juice and 5 pancake specials is $7.60, whereas the bill for 1 glass of orange juice and 2 pancake specials is $2.90. a. Write a system of 2 equations to model this problem. Let j stand for the price of a glass of juice and let p stand for the price of a pancake special. b. Use the substitution method to solve the system of equations. c. What would the bill be for 1 glass of orange juice and 1 pancake special?

Answers

a.
If:
j - the price of a glass of juice
p - the price of a pancake special
Then:
3j + 5p = 7.60
j + 2p = 2.90

b.
If:
j + 2p = 2.90
Then:
j = 2.90 - 2p
We can substite j in the first equation.
If:
3j + 5p = 7.60
j = 2.90 - 2p
Then: 
3×(2.90-2p) + 5p = 7.60
8.70 - 6p + 5p = 7.60
8.70 - p = 7.60
⇒ p = 8.70 - 7.60
⇒ p = 1.10

If:
j = 2.90 - 2p
p = 1.10
Then:
j = 2.90 - 2×1.10
j = 2.90 - 2.20
j = 0.70

Thus, the price of a glass of juice is $0.70 and the price of a pancake special is $1.10.

c.
If:
p = 1.10
j = 0.70
Then: 
j + p = 1.10 + 0.70 = 1.80

Thus, 
the bill for 1 glass of orange juice and 1 pancake special is $1.80.

The ratio of kids to adults in a dollar store is 2:1. Suppose there is a total of 50 kids to adults. How many kids are there?

Answers

The correct answer is 71 kids

Trigonometry
Trigonometric Functions
Given: Sin θ = (5/6), Find: Cot θ

Answers

Answer:

cotθ = √(11)/ 5

Step-by-step explanation:

sine = opposite / hypotenuse

cotangent = adjacent / opposite

So first we have to solve for the adjacent side b, using pythagorean theorem

a^(2) +b^(2) =c^(2)

5^(2) +b^(2) =6^(2)

25 + b^(2) = 36

b^(2) = 11

b = √(11)

cotangent = adjacent / opposite

cotθ = √(11)/ 5

Solve the equation r+11+8r=29

Answers

Combine like terms: r+8r=9r. subtract 11 from both sides 9r=18. r=2
Ok so lets evaluate this equation. First,we have to combine like terms which in this case us r only. So lets do it r+8r is simply 9r+11=29 so now since we want to isolate or in other terms get r the variable  by itself we would have to subtract  11 form both sides. 29 -11 is simply 18 now we have 9r=18 divide 9 on both sides and r is equal to 2 

write an equation and solve for t seven less than a number t equals another number r plus 6. t = r 13 t = r - 1 t = -r 1 t = -r -13

Answers

t - 7 = r + 6    |add 7 to both sides

t = r + 13