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3 years ago

A recipe calls for 3 1/2 cups of sugar. If you want to make only 1/3 of the recipe, how much sugar should you use?

Mathematics

1 answer:

Sav [38]3 years ago

3 0

Answer: 1 1/6 cups of sugar

Step-by-step explanation:

First let’s convert 3 1/2 into an improper fraction: 7/2

Then we multiply 7/2 by 1/3: 7/2*1/3=7/6

Then finally we convert 7/6 into a mixed number, so your answer will be 1 1/6

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How much does mike charge a new customer to ship a package that weighs 50 pounds ? He chargers $40 per pound.

Vera_Pavlovna [14]

Answer:

$2000

Step-by-step explanation:

For each pound, the charge is $40. There are 50 such charges. The point of multiplication is to simplify the process of repeated addition.

... 50 × $40 = $2000

3 0

3 years ago

Between x=2 and x=3, which function has a greater average rate of change than f(x)=2^x has?

maxonik [38]

Answer: f(3)

Step-by-step explanation:

First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

$y=2^x\\\ln(y)=x \ln(2)$

Implicitly differentiate the left side and take the derivative of the right side

$\frac{y'}{y} =\ln(2)$

Multiply both sides by 'y' which was defined as 2^x

$y'=\ln(2)*2^x$

Plug in x = 2 and x = 3 to see which slope is larger

$y'=\ln(2)*2^2=4\ln(2)\\y'=\ln(2)*2^3=8\ln(2)$

4 0

3 years ago

Write the logarithmic equation in exponential form. log2 16 = 4

olganol [36]

A logarithm is an exponent. The base of the logarithm is what it is an exponent of. The argument of the logarithm function is the value that you get when you raise the base to the power indicated by the exponent.

Here, the logarithm is 4, so that is the exponent of the base, which is 2. The argument of the log function is 16, so that is the result of raising 2 to the power of 4.

In exponential form, the given expression is equivalent to

2⁴ = 16

8 0

3 years ago

Tell whether the lines through the given points are parallel, perpendicular, or neither. (-3,1), (1,9), (-2-9), (-1,-7)

Brrunno [24]

Answer:

parallel

Step-by-step explanation:

all the details are in the attached picture.

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3 years ago

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nikitadnepr [17]

Answer:

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Step-by-step explanation:

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3 years ago