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Law Incorporation [45]
2 years ago
7

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that

particular vanilla powder has a mass of 128 grams. He added 2/3 of a cup of vanilla powder to the flour. Should Jeff add more vanilla powder to make the exact recipe, or did he go over and by what amount?
Mathematics
1 answer:
ella [17]2 years ago
7 0
To determine the excess amount, subtract 32 from 85.33 which has a numerical value of 53.33 grams. 
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110 is 60% of what number?
Zigmanuir [339]

Answer: 183.33

Step-by-step explanation:

We have, 60% × x = 110

or,

60

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× x = 110

Multiplying both sides by 100 and dividing both sides by 60,

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x = 183.33

If you are using a calculator, simply enter 110×100÷60, which will give you the answer.

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Suppose c is inversely proportional to the square of d. If c=6 when d=3⁢, find the constant of proportionality and write the for
NemiM [27]

Answer:

The constant of proportionality is 54.

k = 54

c as a function of d:

c(d) = \dfrac{54}{d^2}

c(7) = \dfrac{54}{49}

Step-by-step explanation:

We are given the following in the question:

c is inversely proportional to the square of d.

\Rightarrow c\propto \dfrac{1}{d^2}\\\\\Rightarrow c = \dfrac{k}{d^2}\\\\\text{where k is constant of proportionality}

When c = 6, d = 3.

Plugging the values, we get,

6 = \dfrac{k}{3^2}\\\\\Rightarrow k = 6\times 3^2 = 54

Thus, the constant of proportionality is 54.

c as a function of d can be written as:

c(d) = \dfrac{54}{d^2}

We have to find value of c when d = 7.

Putting values, we get,

c(7) = \dfrac{54}{(7)^2}=\dfrac{54}{49}

is the required value of c.

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3 years ago
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Step-by-step explanation:

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Dennis_Churaev [7]

Answer:

Around 2.9 gallons is equivalent to 11 liters.  

Step-by-step explanation:

<u>Key skills needed: Conversion, Division, Equations</u>

1) 1 gallon  = 3.79 liters

2) We want to find how many gallons 1 liter is equal to ---> Use the original equation and divide by 3.79 on both sides.

You will get --> 1 liter  = 1/3.79 gallons

3) To find how many gallons 11 liters is we multiply both sides by 11.

We will get 11 liters  = 11/3.79 gallons ---> 11/3.79 is 2.9 when rounded to the nearest tenth.

Therefore 2.9 gallons is the answer.

<em>Hope you understood and have a nice day!! :D</em>

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