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Rasek [7]
3 years ago
11

A recipe for cooking rice indicates that 14 cups of boiling water are needed for 8 cups of rice.

Mathematics
1 answer:
Natali [406]3 years ago
8 0

Hello!

This is a question about ratios and relating them to multiples of the ratio.

We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.

Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.

Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.

That means that 16 cups of rice should be added if we have 28 cups of boiling water.

In terms of ratios, we can set up the following proportion.

\frac{14}{8}=\frac{28}{x}

Then here, we can cross multiply and solve for x.

14x=224

x=16

Hope this helps!

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Penelope and george go trick or treating. Penelope gets 152 pieces of candy. George gets 124 pieces of candy. Penelope eats 5 pe
kakasveta [241]

Answer:

In 28 days George have the same amount of candy as Penelope.

Step-by-step explanation:

Given:

Penelope has 152 pieces of candy.

George has 124 pieces of candy.

Penelope eats 5 pieces each day.

George eats 4 pieces each day.

To find in how many days will George have the same amount of candy as Penelope.

Solution:

Let the number of days in which George have the same amount of candy as Penelope be = x

Using unitary method.

If Penelope eat 5 pieces of candy in 1 day.

In x days, he will eat = 5x candies

Thus, after x days number of candies left with Penelope = 152-5x

If George eat 4 pieces of candy in 1 day.

In x days, he will eat = 4x candies

Thus, after x days number of candies left with George = 124-4x

Since, in x days George have the same amount of candy as Penelope, so we have:

124-4x=152-5x

Solving for x

Adding 5x both sides.

124-4x+5x=152-5x+5x

124+x=152

Subtracting 124 both sides.

124-124+x=152-124

∴ x=28

Thus, in 28 days George have the same amount of candy as Penelope.

7 0
4 years ago
I need help with question 18. The answer is53√3 ft^2. But how do I get there?
sergij07 [2.7K]

Answer:

Hope it helps....

Step-by-step explanation:

5 0
3 years ago
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levacccp [35]

Answer:

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Step-by-step explanation

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3 0
3 years ago
A school band has 75 members. The band enters a band competition at a rival school. There is a $200 entrance fee for each band p
liq [111]

Answer:

Total amount of money=200x+25y, where x is the number of bands and y is the number of drill teams.

Step-by-step explanation:

The expression for the total amount of money collected from entrance fees would be equal to the entrance fee for each band for the number of bands plus the entrance fee for each drill team for the number of drill teams:

Total amount of money=200x+25y, where x is the number of bands and y is the number of drill teams.

Total amount of money=200(32)+25(25)

Total amount of money=6400+625

Total amount of money=7025

8 0
3 years ago
A plane is at cruising altitude of 10,200 feet. If the angle of depression to the run way is 18 degrees, what is the distance, t
MatroZZZ [7]

Answer: 33,007.9\ ft

Step-by-step explanation:

Given

The plane is cruising at an altitude of h=10,200\ ft

The angle of depression is \theta=18^{\circ}

Suppose the distance of the plane to the runway is x

from figure

\Rightarrow \sin 18^{\circ}=\dfrac{h}{x}\\\\\Rightarrow \sin 18^{\circ}=\dfrac{10,200}{x}\\\\\Rightarrow x=33,007.9\ ft

4 0
3 years ago
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