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2 years ago

When 3(2x + 5) is added to 2(2x − 4) the resulting expression is?

Mathematics

1 answer:

velikii [3]2 years ago

8 0

Answer:

10x + 7

Step-by-step explanation:

3(2x + 5) added to 2(2x - 4) is the same as 3(2x +5) + 2(2x - 4)

Remember PEMDAS

P – Parentheses (distribution)

E – Exponents

M – Multiplication

/D – Division (whichever comes first from left to right)

A – Addition

/S – Subtraction (whichever comes first from left to right)

First, we will distribute the left side.

3(2x + 5)

3 * 2x = 6x

3 * 5 = 15

Add them together to get:

6x + 15

6x + 15 + 2(2x - 4)

We must now distribute the right side.

2 * 2x = 4x

2 * -4 = -8

Add them together to get:

4x -8

We now have:

6x + 15 + 4x - 8

Let's combine like terms.

6x and 4x are like terms.

Combine: 6x + 4x = 10x

15 and -8 are like terms.

15 - 8 = 7

Now we have 10x + 7

Since 10 and 7 don't have any GCF, we have our answer.

10x + 7

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Solve the equation for y. 8x – 9y = 11

pav-90 [236]

8x-9y=11

First you move the 8x because you have to leave the 9y alone

8x-9y=11
-8x -8x

-9y=11-8x

Now you have to move the -9, so the inverse of multiplying is dividing so you divide -9.

-9y/-9= 11/-9 -8x/-9

since you can't have negative as a denominator it would be:

y= -11/9+8x/9

You have to change the signs

3 0

3 years ago

there are 18 boys and 24 girls who want to participate in the trivia challenge. if each team must have the same number of boys a

Fittoniya [83]

The greatest number of teams that can enter will be 6.

The number of girls will be =2

The number of boys will be = 4

Teams within an enterprise are groups of personnel all working below a shared designation or for a shared goal. groups may be shaped in a selection of structures relying on the desires of the commercial enterprise.

working together saves time and presents each person with more strength to focus on getting the task done. with the aid of getting your employees to work as a team, you may improve the productivity levels of all and sundry present. you may actualize innovative thoughts with greater efficiency, making the importance of teamwork clean.

The reason for a group is to determine how a completely unique set of people can use their abilities to perform an intention at a particular time. A clear team reason can assist motivate individuals into motion. a few advantages of understanding the purpose of a crew include growing recognition and inclusion.

The number of girls = is 18.

Number of boys = 24

Based on the information given, in order to find the greatest number of teams that can enter, we have to find the highest common factors for both boys and girls. This will be:

Factors of 18 = 1, 2, 3, 6, 9, 18.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 16, 24.

Highest common factor = 6

Therefore, the greatest number will be 6.

The number of girls will be =2

The number of boys will be = 4

Learn more about teams here brainly.com/question/4311312

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3 0

1 year ago

Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random variabl

Svetradugi [14.3K]

Answer:

$P(80$

And we can find this probability with this difference:

$P(-4$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-4$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

Where $\mu=180$ and $\sigma=25$

We are interested on this probability

$P(80$

For this case we can assume that the random variable is normally distributed.

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(80$

And we can find this probability with this difference:

$P(-4$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-4$

5 0

3 years ago

A recipe requires sugar, flour and cocoa in the ratio 5:4:1

WARRIOR [948]

Let x be the amount of cocoa you use in the recipe.

then 4x is the amount of flour used, and 5x is the amount sugar used.

x+4x+5x= 550g
10x=550g
x=55g

So, you use 55g of cocoa, 220g of flour, and 275g of sugar.

hope this helps! :)

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3 years ago

Find the jacobian of the transformation. x = 6v + 6w2, y = 8w + 8u2, z = 2u + 2v2

V125BC [204]

The answer for that problem is z =12+6

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3 years ago