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zlopas [31]
3 years ago
12

When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?

Mathematics
1 answer:
Lorico [155]3 years ago
8 0

Answer:

-0.8x + 4.8y + 16          

Step-by-step explanation:

We have to simplify the given expression:

4(0.5x + 2.5y-0.7x-1.3y+4)

First we group all the like terms of x.

4((0.5x-0.7x) + 2.5y-1.3y+4))\\=4(-0.2x+ 2.5y-1.3y+4)

Next we group all the like terms of y.

4(-0.2x+ (2.5y-1.3y)+4)\\=4(-0.2x+1.2y+4)

Now, we use distributive property for the multiplication,

4(-0.2x+1.2y+4)\\=(4\times -0.2x) + (4\times 1.2y) + (4\times 4)\\=-0.8x + 4.8y + 16

is the required simplified expression.

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2 years ago
Find the next two terms in the pattern 100,98,94,88,80…
olga_2 [115]

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Step-by-step explanation:

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5 0
2 years ago
Use the graph below to answer the question that follows:
Alborosie

Answer:

Step-by-step explanation:

x 1 = π ,  x 2 = 3 π/ 2

y 1 = - 1,  y 2 = 2

The Rate of change = ( y 2 - y 1) / ( x 2 - x 1 )=

= [2 -( -1 )] : ( 3 π /2 - π ) = 3 : π/2 = 6 / π <em>≈ 1.91 </em>

8 0
2 years ago
Josh exercises at the gym 3 3/4 hours a week. He spends 2/5 of his time at the gym lifting weights. How many hours a week does J
Natali5045456 [20]

Answer:

1.5hours

Step-by-step explanation:

Firstly in this question, we convert the time given to minutes.

Using the conversion of 60 seconds make a minute, we have 3/4 hours as 3/4 * 60 = 45 minutes. Let’s add this to a total of 3 hours which is 180 minutes. This gives a total of 225 minutes.

Now, we are told that he spends 2/5 of his time lifting weight. This is equivalent to 2/5 * 225 = 90 minutes

We convert this to hour = 90/60 = 1.5 hours

3 0
3 years ago
It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show
Tju [1.3M]

Answer:

The volume of the rectangular prism is <u>19.25 inches³</u>.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = \frac{1}{2}\ inch.

Now, to get the volume of cube we put formula:

Volume=(side)^3\\\\Volume=(\frac{1}{2})^3 \\\\Volume=\frac{1}{8}\ inch^3.

<em>Thus, the volume of a cube is  </em>\frac{1}{8} \ inch^3.<em />

<em>Number of cubes = 154.</em>

<u><em>According to question, it takes 154 cubes to fill the rectangular prism.</em></u>

<u><em>So, to get the volume of prism we need to find the volume of 154 cubes.</em></u>

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

\frac{1}{8}\times 154\\\\ =\frac{154}{8}\\\\ =19.25\ inches^3.

Therefore, the volume of the rectangular prism is 19.25 inches³.

3 0
3 years ago
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