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Valentin [98]
3 years ago
11

Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t

he recipe
Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

Tom will need \dfrac{5}{4} gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for \dfrac{1}{2} gallon of fruit drink.

i.e for 1 batch of the punch Tom needs \dfrac{1}{2} gallon of fruit drink.

For \dfrac{5}{2} batch of the punch Tom needs \dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4} gallons of fruit drink.

Therefore, Tom will need \dfrac{5}{4} gallons of fruit drink.

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If A = (1,2,3,4,5), then the number of proper subsets of A is- ​
Mandarinka [93]

Answer: One of them is the set {1,2,3,4,5,6}itself; one is the empty set, containing no elements. “Proper subset of a set ” usually denotes a subset in which at least one element of the original set is missing; so one of the subsets - the original set iitself - is not a proper subset. Therefore the answer is 63.

Step-by-step explanation:

8 0
3 years ago
The proper angle for a ladder is about 75 ∘ 75∘ from the ground. suppose you have a 14 foot ladder. how far from the house shoul
jonny [76]
We just use the sinus rule to calculate this

a / sin alpha = b / sin beta

Alpha is the 90 degree angle from the wall to the floor
beta is the angle from the top of the ladder to the wall,
wich is 90 degrees - 75 degrees (triangle has 180 degrees angles, one is 90 degrees), so beta = 15 degrees

14 foot / sin 90 = b / sin 15
sin 90 = 1
we move the sin15 over to the other side

14 foot x sin 15 = b
b = 3.62 foot

5 0
3 years ago
F(x) = x − 8, g(x) = 12 − x
KatRina [158]

Answer:

F(12-x)=-x+4

Step-by-step explanation:

8 0
3 years ago
What is the Quick Ratio given the following information? Current Assets = $477.50 Inventory = $275 Current Liabilities = $1075
cluponka [151]

Answer:

<u>Quick Ratio = 0.19. A quick ratio of 0.19 means that this company might not be able to fully pay off its current liabilities in the short term.</u>

Step-by-step explanation:

1. For solving this question, we need to use the Quick ratio formula, this way:

Quick Ratio = (Current Assets - Inventory - Prepaid Expenses) / Current Liabilities

2. Let's replace the formula with the real values:

Quick Ratio = (477.50 - 275 - 0)/ 1,075 (Prepaid Expenses = 0)

Quick Ratio = 202.50 / 1,075

Quick Ratio = 0.1884

<u>Quick Ratio = 0.19 (Rounding to two decimal places)</u>

3. Interpretation

A quick ratio below 1 means that the company might not be able to fully pay off its current liabilities in the short term, in this case it's 0.19 for this company.  A quick ratio of 1 is considered to be the normal, as it indicates that the company is able to pay off its current liabilities with exactly enough assets to be immediately liquidated.

5 0
2 years ago
What value of x will make the triangles similar by the SSS similarity theorem?
Scorpion4ik [409]

Answer: The value of x will make the triangles similar by the SSS similarity theorem is 30

Third option 30


Solution:

The similarity theorem indicates that the sides of similar triangles must be proportional, then:

x/45=x/45=50/75

x/45=50/75

Solving for x: Multiplying both sides of the equation by 45:

45(x/45)=45(50/75)

x=(45)(50)/75

x=2,250/75

x=30

8 0
3 years ago
Read 2 more answers
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