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2 years ago

Use properties of operations to determine whether 4r + 4t and 4(r+t) are equivalent. Explain your answer.

Mathematics

1 answer:

Vikki [24]2 years ago

4 0

There is only one property used to determine whether

$4r+4t=4(r+t)$ .

The property is called the distributive property and in a nutshell it states, $a(b+c)=ab+ac$ , which means $a$ is distributed through $b+c$ using multiplication. So $4(r+t)$ says, distribute $4$ to $r$ and $t$ which then translates into $4r+4t$ .

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elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the follo

konstantin123 [22]

9514 1404 393

Answer:

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

(4x +2y) -2(x +y) = (14) -2(3)

4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

2x = 8 . . . . . . . . . . . . . . collect terms

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3 years ago

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Angelina_Jolie [31]

Answer:

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2 years ago

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

3 0

3 years ago

For every 5 pages in a book Fred reads, Lonnie reads 4 pages. In 1 hour, they read a combined total of 36 pages. How many pages

nydimaria [60]

Answer:

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

Step-by-step explanation:

The table that can be formed by the rate at which they study the number of pages of a book is:

Fred Lonnie total

5 4 9

10 8 18

15 12 27

20 16 36

That means when they read a combined of 36 pages.

Then the number of pages read by Fred is 20 pages.

and the number of pages read by Lonnie is 16 pages.

(

Also it could be done as :

Let Fred reads 'x' pages.

so, the number of pages read by Lonnie is: (4/5)x

Hence,

x+(4/5)x=36

on solving this linear equation we have:

x=20

and (4/5)x=16

)

Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.

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3 years ago

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quester [9]

3,500 m so 3 km and 500 m

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3 years ago