Give a example of a multi-step equation for each of the following solution

Answers

Answer 1
Answer:

Here is the example.

Multi-step equation means before start solving equations, you need to isolate the variable terms and constant terms, then you have to combine the like terms.

Finally, you can solve the equation. This involves more than two steps.


Examples:

1) 2x + 3x + 5 = 20

Step 1: Isolate the variable terms and constants.

Subtract 5 on both sides, we get

2x + 3x + 5 - 5 = 20 -5

2x + 3x = 15

Step 2: Combine the like terms.

5x = 15

Step 3: Divide both sides by 5.

5x/5 = 15/5

x = 3.


2) 2(3x + 2) = 3(x - 1) + 4

Step 1: Use the distributive property and expand the given equation.

6x + 4 = 3x -3 + 4

Step 2: Isolate the variable terms and constants

Subtract 3x from both sides, we get

6x - 3x + 4 = 3x - 3x -3 + 4

3x + 4 = -3 + 4

Step 3: Simplify it.

3x + 4 = 1

Step 4: Subtract 4 from both sides.

3x + 4 - 4 = 1 - 4

3x = -3

Step 5: Divide both sides by 3.

3x/3 = -3/3

x = -1.

Hope this will help you. :)


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The unit rate of $1.12 for 8.2 ounces

Answers

That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659

Hope this helped!

WILL GIVE BRAINLIEST
Write the product using exponents. (−9)⋅(−9)⋅(−9)⋅(−9)⋅(−9)

Answers

Answer:

Step-by-step explanation:

(-9)⁵

(-9) is appearing 5 times

Answer:

-9^5

Step-by-step explanation:

(-9)*(-9)*... is -9^5

Please mark as Brainliest! :)

Have a nice day.

How do I solve forax+by=c​

Answers

Answer:

Subtract ax from both sides. ax + by − ax = c − ax.

Simplify. by = c − ax.

Divide both sides by b ; b ≠ 0. by b = c b − ax b ; b ≠ 0.

Simplify. y = c − ax b ; b ≠ 0.

How would I do this? Please explain instead of just giving me the answer.

Answers

According to the Pythagorean theorem, the square of the hypotenuse (the longest side) of a right-angled triangle equals to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, which equals to the distance between the bottom of the ladder and the tree + the distance we want to find (x):
5² + x² = 13²
25 + x² = 169
x² = 144
x = √144 = 12.
The distance between the ground and the top of the ladder is 12 ft.

For a carnival game, containers are arranged in a triangular display. The top row has 1 container. The second row has 2 container. the third row has 3 containers. The pattern continues until the bottom row, which has 10 containers. A contestant knocks down 29 containers on the first throw. How many containers remain?

Answers

The addition is one of the four fundamental mathematical operations. The number of containers that are remaining is 26.

What is Addition?

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Given that for a carnival game, containers are arranged in a triangular display. The top row has 1 container. The second row has 2 containers. the thirdrow has 3 containers. The pattern continues until the bottom row, which has 10 containers.

Thus, the total number of containers in the ten rows is,

S = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

Now, A contestant knocks down 29 containers on the first throw. Therefore, the number of containers that are remaining are,

Number of containers remaining

= Total number of containers - Number of containers that contestant knocks

= 55 - 29

= 26

Hence, the number of containers that are remaining is 26.

Learn more about Addition:

brainly.com/question/14092461

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For this, you will need to know the triangle numbers. To know how many are on row ten, find the cumulative frequency (running total) of every number up to ten

1 = 1
2 = 3
3 = 6
4 = 10
5 = 15
6 = 21
7 = 28
8 = 36
9 = 45
10 = 55

If there are 55 containers and 29 are knocked down, we do
55 - 29 = 26
26 containers remain

A car painting company has determined that the painting time of cars is uniformly distributed between 25 and 105 minutes. What is the probability that it will take between 40 and 65 minutes for that company to paint a car

Answers

Answer:

P=(5)/(16)

Step-by-step explanation:

For a uniform distribution we have to:

P (X\leq x) =(x-a)/(b-a)   for x∈ (a, b)

P (X\leq x) =0}   for x\leq a

P (X\leq x) =1}   for x\geq b

In this case we have to:

a = 25 min and b = 105 min

We want to find:

P (40 \leq X \leq 65)

Then

P (x_1 \leq X \leq x_2) = P(X \leq x_2) - P(X \leq x_1)

P (x_1 \leq X \leq x_2)= (x_2 -x_1)/(b-a)

In this case:

x_2 = 65\n\nx_1=40

Therefore:

P (40 \leq X \leq 65)=(65 -40)/(105-25)

P (40 \leq X \leq 65)=(25)/(80)

P (40 \leq X \leq 65)=(5)/(16)