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2 years ago

13

Caroline is making macaroni and cheese. She needs 3 cups of cheese to make 6 servings. How much cheese will Caroline need to mak

e two servings?

2 answers:

aleksandrvk [35]2 years ago

7 0

She needs one cup of cheese for two servings.

Anastaziya [24]2 years ago

3 0

Answer:1/2 of a cup.

Step-by-step explanation:

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Allometric relations often can be modeled by f(x)= x^b, where a and b are constants. One study showed that for a male fiddler

dolphi86 [110]

Answer:

a) $f(2)= 0.448 (2)^{1.21}= 1.036 grams$

b) $0.5 = 0.448 x^{1.21}$

Dividing both sides by 0.448 we got:

$\frac{0.5}{0.448} = x^{1.21}$

We can appy the exponent $\frac{1}{1.21}$ in both sides of the equation and we got:

$(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams$

Step-by-step explanation:

For this case we know the following function:

$f(x) = 0.448 x^{1.21}$

The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.

Part a

For this case we just need to replace x = 2 gram in the function and we got:

$f(2)= 0.448 (2)^{1.21}= 1.036 grams$

Part b

For this case we know tha value for $f(x) =0.5$ and we want to find the value of x who satisfy this condition:

$0.5 = 0.448 x^{1.21}$

Dividing both sides by 0.448 we got:

$\frac{0.5}{0.448} = x^{1.21}$

We can appy the exponent $\frac{1}{1.21}$ in both sides of the equation and we got:

$(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams$

8 0

3 years ago

A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey

Mars2501 [29]

Answer:

<u>142 Grey, 83 white, 76 black</u>

Step-by-step explanation:

If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.

3 0

3 years ago

What is the measure of the radius of the cone in the diagram below? A cone has a height of 6 centimeters and diameter of 8 centi

konstantin123 [22]

Answer : 4 cm

Step-by-step explanation:

Hi, the radius of a cone is the radius of its circular base.

Since we know the diameter value (8 centimeters) we have ot apply the next formula:

Diameter = radius x 2

Replacing with the values given

8 = 2r

Solving for r:

8/2=r

4=r

So, the radius of the cone is 4 centimeters.

Feel free to ask for more if needed or if you did not understand something.

6 0

3 years ago

Read 2 more answers

4(x + 3) + 2x in the simplest form

leonid [27]

Answer:

6x + 12

Step-by-step explanation:

Distribute the 4 first. Now you have 4x + 12 + 2x. 4x + 2x are like terms and therefore they can be added. Your final simplified answer is therefore 6x + 12.

3 0

2 years ago

Read 2 more answers

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following com

DIA [1.3K]

The total amount is $ 1015.82 and interest amount is $ 165.82

<em><u>Solution:</u></em>

<em><u>The formula for amount when interest is compounded annually is:</u></em>

$\mathrm{A}=P\left(1+r}\right)^{n}$

Where,

"A" is the total amount

"P" is the principal

"r" is the rate of interest in decimal form

"n" is the number of years

<em><u>From given, $850 at 2% for 9 years, compounded annually</u></em>

P = 850

t = 9 years

$r = 2 \% = \frac{2}{100} = 0.02$

<em><u>Substituting the given values we get,</u></em>

$A = 850(1+0.02)^9\\\\A = 850 \times 1.02^9\\\\A = 850 \times 1.1950\\\\A = 1015.82$

Thus total amount is $ 1015.82

Interest amount = Total amount - principal

Interest amount = 1015.82 - 850

Interest amount = 165.82

Thus total amount earned is $ 1015.82 and interest amount is $ 165.82

7 0

3 years ago