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2 years ago

Find the unit rate: 48 slices from 3 cakes = Slices per cake

Mathematics

2 answers:

aliina [53]2 years ago

5 0

Answer:

Step-by-step explanation:

Slices made from 3 cakes = 48

Slices made from 1 cake = 48 ÷ 3 = 16

16 slices are made from 1 cake.

Nikolay [14]2 years ago

5 0

Hi!

First, we must divide 48 by 3, because that will give us the number of slices per cake.

The unit rate is a rate for one of something, therefore we must find the # of slices per one piece of cake.

48 / 3 = 16

Therefore, there are 16 slices per cake, or 16/1.

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Anit [1.1K]

Answer: $x=7, \ y=-2$

Step-by-step explanation:

Given

Equations are $3x-y=23$ and $2x+3y=8$

take $3x-y=23$

$y=3x-23$

Put the value of y in another equation

$\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7$

Put the value of x in y

$y=3(7)-23=21-23=-2$

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2 years ago

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Answer:

110 students walk or bike to school.

Step-by-step explanation:

48% of the 208 students walk, whereas 5% bike. Combining 48% and 5%, we get 53%.

53% of the total number, n, comes to 208 students.

This number is 0.53(208 students), or 110 students.

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2 years ago

Under which president's administration were thousands of African Americans fired from civil service position?

Strike441 [17]

Both Theodore Roosevelt & Woodrow Wilson.

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3 years ago

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num

malfutka [58]

Answer:

The standard deviation will be: 2.1

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

$s=\sqrt{s^2}$

The variance = s² = 4.4

so the standard deviation can be calculated as:

standard deviation $=\sqrt{s^2}$

$=\sqrt{\left(4.4\right)^}$

$=2.1$

Therefore, the standard deviation will be: 2.1

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3 years ago

Jen has 6 yards of fabric and wants to make a new dress and shorts she used 3 1/3 yards of the fabric on her new dress how much

kodGreya [7K]

Answer:

$2\frac{2}{3}\ yards$

Step-by-step explanation:

we know that

To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.

$6-3\frac{1}{3}$

Convert mixed number to an improper fraction

$3\frac{1}{3}=\frac{3*3+1}{3}=\frac{10}{3}$

substitute

$6-3\frac{1}{3}=6-\frac{10}{3}=\frac{8}{3}\ yards$

Convert to mixed number

$\frac{8}{3}\ yards=\frac{6}{3}+\frac{2}{3}=2\frac{2}{3}\ yards$

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3 years ago