All categories

3 years ago

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.

You might be interested in

I will mark you brainiest if you can answer this

Svet_ta [14]

The answer should be B bc the point is at 1 and it rises 2 and runs 3 to the left so it’s negative

4 0

2 years ago

Find the next two terms in the pattern 100,98,94,88,80…

olga_2 [115]

Answer:

its 70 and 58

Step-by-step explanation:

The pattern: -2, -4, -6, -8, -10, -12...

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 ≈ 1.91

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 19.25 inches³.

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:

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

Thus, the volume of a cube is $\frac{1}{8} \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

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