PLEASE HELP IT'S URGENT

Which algebraic expression is equivalent to the expression below? 9(2x - 6) A. 9x - 3 B. 18x - 54 C. 9x - 8

sergejj [24]

Answer:

B

Step-by-step explanation

multiply 2 and 6 by 9

4 0

3 years ago

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Five less than nine times a number is the same as nineteen more than the number

Xelga [282]

Answer:

Step-by-step explanation:

The first thing you need to do is develop the equation. Less in this case means subtract.

On the left side you have

9 times a number which is 9*x

5 less than 9 times a number means 9x - 5

Now you shift to the right

x = 3

x + 19 What you get is

9x - 5 = x + 19 Subtract x from both sides of the equation

9x - x - 5 = 19 Combine both x terms on the left

8x - 5 = 19 Add 5 to both sides.

8x - 5 + 5 = 19 + 5 Combine terms

8x = 24 Divide by 8

x = 24/8

x = 3

4 0

3 years ago

Find the approximate volume. Round to the hundredth when necessary.

Sedaia [141]

Answer:

Volume of Sphere is 33.51 ft^3

Volume of Cylinder is 37.7 m^2

Step-by-step explanation:

Volume of a sphere formula: V = 4 /3πr^3

Volume of a cylinder formula: V = πr^2h

Step 1: Find the volume of the sphere

Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2

V = 4/3*π*(2)^3

V = 33.51 ft^3

Answer: Volume of Sphere is 33.51 ft^3

Step 2: Find the volume of the cylinder

Since it shows the diameter, you need to divide 4 by 2 to get the radius: 2

V = π*(2)^2*(3)

V = 37.7 m^2

Answer: Volume of Cylinder is 37.7 m^2

6 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

What is the slope of a line that is parallel to y equals 3x + 5

Sergio039 [100]

A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3.

6 0

3 years ago

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