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3 years ago

10

Find last year's salary if, after a 6% pay raise, this year's salary is $32,330.

1 answer:

Annette [7]3 years ago

4 0

5388.33$ was last years salary increase

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State the inverse of x5

sashaice [31]

The inverse of multiplying by five is dividing by 5.

3 0

3 years ago

You have a bag of gummy worms. 12 are green, 3 are blue, 6 are red, and 2 are orange. What is the probability that you will reac

Ksivusya [100]

Answer and working out attached. Hope it helps

4 0

2 years ago

Prove that segment ST is parallel to segment RQ then x=12

RSB [31]

Answer:

x=12

Step-by-step explanation:

x=12

7 0

3 years ago

Raise the quality in parentheses to the indicated exponent, and slim lift the resulting expression with positive exponents.

SIZIF [17.4K]

For this case we have the following expression:

$(\frac {-27x ^ 0 * y ^ {- 2}} {54x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =$

By definition we have to:

$a^0= 1$

So:

$(\frac {-27y ^ {- 2}} {54x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =$

Simplifying:

$(\frac {-y ^ {- 2}} {2x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =$

By definition of power properties we have to:

$(a ^ n) ^ m = a ^ {n * m}$

So, rewriting the expression we have:

$\frac {-y ^ {- 2 * -2}} {4x ^ {- 5 * -2} * y ^ {- 4 * -2}} =\\\frac {-y ^ {4}} {4x ^ {10} * y ^ {8}} =$

SImplifying:

$\frac {-y ^ {4-8}} {4x ^ {10}} =\\\frac {-y ^ {- 4}} {4x ^ {10}} =\\- \frac {1} {4x ^ {10} y^ {4}}$

Answer:

$- \frac {1} {4x ^ {10} y ^ {4}}$

5 0

3 years ago

A right rectangular prism's edge lengths are 4 1 2 inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of 1 3

fgiga [73]

Question:

A right rectangular prism's edge lengths are $4\frac{1}{2}$ inches, 4 inches, and 3 inches. How many unit cubes with edge lengths of $\frac{1}{3}$ inch can fit inside the prism?

Answer:

1458 cubes with edge lengths of $\frac{1}{3}$ inch can fit inside the prism.

Step-by-step explanation:

Given:

Dimensions of the rectangular prism = $4\frac{1}{2}$ inches, 4 inches, and 3 inches

length of Edge of the cube = $\frac{1}{3}$

To Find:

Number of unit cubes that can fit inside the prism =?

Solution:

Step 1: Finding the volume of the right rectangular prism

Volume of the right Rectangular prism is = $w\times h\times l$

where

w = width of theright Rectangular prism

h = height of the right Rectangular prism

l = lenght of the right Rectangular prism

Substituting the values ,

Volume of the right Rectangular prism is = $4\frac{1}{2}\times4\times 3$

Volume of the right Rectangular prism is = $\frac{9}{2}\times4\times 3$

Volume of the right Rectangular prism is = $4.5\times4\times 3$

Volume of the right Rectangular prism is = 54 $inch^3$

Step 2: Finding the volume of the cube

Volume of the cube = $(edge)^3$

Substituting the values,

Volume of the cube = $( \frac{1}{3})^3$

Volume of the cube = $( \frac{1}{27})$

Step 3: Find the number of cube that can fit in the cube.

Number of cubes = $\frac{\text{volume of the right Rectangular prism}}{\text{Volume of the cube}}$

Number of cubes = $\frac{54}{\frac{1}{27}}$

Number of cubes = $54\times27$

Number of cubes = 1458 cubes

7 0

3 years ago