Solve for x:
X- 6 = -3x + 22

Answers

Answer 1

Answer:

Your answer is x=7

Step-by-step explanation:

[tex]x - 6 = -3x + 22[/tex] add 6 to both sides

[tex]x - 6(+6) = -3x + 22(+6)[/tex] cross out -6(+6) and add 22+6=28

[tex]x = -3x + 28[/tex] add 3x on both sides

[tex]x (+3x) = (+3x)-3x + 28[/tex]  x+3x=4x and cross out (+3x)-3x

[tex]4x = 28[/tex] divide 4 on both sides

[tex]\frac{4x}{4} = \frac{28}{4}[/tex] cross out 4 leave x and divide 28 and 4 =7

[tex]x=7[/tex]

Answer 2

Answer:

x=7

Step-by-step explanation:


Related Questions

find the unknown side length, x. write your answer in simplest radical form

Answers

11^2+11^2= √242

Answer is 11√2

Evaluate f(x) = 5x2 - 4x - 9 for f(-2)

Answers

Answer:

99

Step-by-step explanation:

5x^2 -4x -9

5(-2)^2 -4(-2) -9

-10^2 +8 -9

100-1

99

4x - 5y = 15 solve for y​

Answers

Answer:

[tex]y=-\frac{15-4x}{5}[/tex]

Step-by-step explanation:

[tex]4x-5y=15[/tex]

Subtract 4x from both sides:

[tex]4x-5y-4x=15-4x[/tex]

[tex]-5y=15-4x[/tex]

Divide both sides by -5:

[tex]\frac{-5y}{-5}=\frac{15-4x}{-5}[/tex]

[tex]y=-\frac{15-4x}{5}[/tex]

PLEASE HELP I’LL GIVE BRAINLIEST!

Questions:
1. How do you solve for a specific variable?
2. Why would you want to solve for a specific variable?
3. Show an example of solving for a specific variable.

Answers

Here the first one, One goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign. The other goal is to have the number in front of the variable equal to one. The strategy for getting the variable by itself with a coefficient of 1 involves using opposite

there are 48 people in gym class
5/8 of the people were in spin class
1/3 of the people were lifting weights
the remaining people were running
How many people were running?

Answers

5 1 were lifting weights and 5 spin

The point (17, -9) is translated to the point (6, 2) what is the description of the translation

Answers

down 11 units and right 7 units.

The department manager recorded the number of sick days taken last year by each employee, as shown in the table. What is the mean number of days employees were sick? Round to the nearest hundredth. A. 4.57 days B. 5.57 days C. 4.43 days D. 3.86 days I WILL MAKE U BRAINLLEST IF YOU ANSWER COREECTLY!!!!!!!



In 5.......4........3.......2......1...... ANSWER

Answers

Answer:

It's C

Step-by-step explanation:

The mean number of days employee were sick is 4.43 days.

Option C is correct.

Here,

Given that;

The department manager recorded the number of sick days taken last year by each employee, as shown in the table.

We have to find the mean number of days employee were sick.

What is Mean?

The average of the given numbers is called Mean and is calculated by dividing the sum of given numbers by the total number of numbers.

Now,

In given table;

Number of sick days are,

7, 4, 2, 6, 4, 5, 3

Hence,

Mean number of days employee were sick = [tex]\frac{7+4+2+6+4+5+3}{7}[/tex] [tex]= \frac{31}{7}[/tex][tex]= 4.4285[/tex]

Now, Rounding the number to the nearest hundredth we get;

Mean of number of days employee were sick = 4.43 days

Hence, The mean number of days employee were sick is 4.43 days.

Option C is correct.

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Algebra 1) The steps below show the solution to the equation 3 ( x − 2 ) = 2 ( x − 3 ) order the reasons for the steps. Options at the bottom. (WILL GIVE BRANLIEST)

Answers

Answer:

See the steps below.

Step-by-step explanation:

1. Distributive Property

2. Multiply

3. Addition and Subtraction property of equation.

4. Add and Subtract

Best Regards!

At the movies, children's tickets are $6 each and adult's tickets are $10 each.
Shandra buys 14 tickets. Let a be the number of adults going to the movies. Write
an algebraic expression to represent the total price Shandra pays.

Answers

Answer:

a + c = 14

14(Pa+Pc) = 10a + 6c

224 = 10a + 6c

Step-by-step explanation:

Price of Children's tickets = $6

Price of Adult's tickets = $10

Shandra buys 14 tickets

Let

Number of adults going to the movie = a

Number of children going to the movie = c

Total price shandra pays = PaQa + PcQc

Where,

Pa = price of adult's tickets

Qa = Quantity of adult's tickets

Pc = Price of children's tickets

Qc = Quantity of children's tickets

Total price = 14(Pa+Pc), that is

a + c = 14

14(Pa+Pc) = 10a + 6c

14(10 + 6) = 10a + 6c

140 + 84 = 10a + 6c

224 = 10a + 6c

Nathan and his friends want to see the new movie, The Case of the Secret Doorway. It's a popular movie, so Nathan buys their tickets in advance. He spends $36.75 in all to buy 3 tickets. How much does each friend need to pay him back?

Answers

Answer:

  $12.25

Step-by-step explanation:

Each of the 3 tickets costs 1/3 of the total:

  (1/3)($36.75) = $12.25

Each friend needs to pay Nathan $12.25 for a ticket.

A craft store sells boxes of two different varieties of colored pencils. The table shows the number of boxes sold last month. What is the total dollar amount of colored pencils sold?

Answers

Answer:

So the answer is 108.75

Step-by-step explanation:

15 * $4.25 = 63.75

12*  $3.75 = 45

63.75 + 45 = 108.75.

Answer:108.75

The total dollar amount of coloured pencils sold is $108.75.

Given that, a craft store sells boxes of two different varieties of coloured pencils. The table shows the number of boxes sold last month.

We need to find what is the total dollar amount of coloured pencils sold.

What is the tally table?

A tally table is a table that represents the occurrence of an event in a way that calculates it becomes easy.

Now, the cost of each pencil is $4.25.

Then the cost of 15 pencils=15×4.25=$63.75

The cost of each pencil is $3.75.

Then the cost of 12 pencils=12×3.75=$45

Total=63.75+45=$108.75

Therefore, the total dollar amount of coloured pencils sold is $108.75.

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You spin the spinner twice.
4.
1
3
2.
lands on 2 What is the probability of landing on a number less than 4 and then landing on a 3?

Answers

Answer:

The Answer is 1 and 4

Step-by-step explanation:

Because there is only 4 numbers.

PLEASE I NEED HELP :((((;((((

Answers

Answer:

Complete explanation is in the picture.

Step-by-step explanation:

The length of a rectangle is 4 cm longer than its width.
If the perimeter of the rectangle is 60 cm, find its length and width.

Answers

Hope it helped

Thank You

A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?

Answers

Answer:

$6

Step-by-step explanation:

If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.

The graph shows the temperature of a liquid that is being heated during an
experiment.

Answers

Answer:

#4 bottom right

Step-by-step explanation:

It is being changed at 4 degrees per minute so in 10 minutes it would be 40 not 52

Point B ∈ AC . Points K, M, N, and P are the midpoints of AB , AC , MC , and NC , respectively. Write a congruency statement for each pair of congruent segments.

Answers

Answer:

AK = BK, AM = CM, MN = CN, NP = CP

Step-by-step explanation:

B ∈ AC

Points K, M, N, and P are the midpoints of AB , AC , MC , and NC

Then

K is midpoint of AB ⇒

AK = BK

M is midpoint of AC ⇒

AM = CM

N is midpoint of MC ⇒

MN = CN

P is midpoint of NC ⇒

NP = CP

Find and interpret the slope of the line containing the given points. (0,20) and (-8,0)​

Answers

Answer:

The slope is: 20/-8, or -20/8

Step-by-step explanation:

to find the rate of change, you do change in y over change in x

so you minus the y numbers and minus the x numbers

so,

20-0/0-8 = 20/-8

or you can do

0-20/8-0 = -20/8

both of them are the same

sorry I'm really bad at explaining myself

hope this helps! :D

Answer:

Step-by-step explanation:

(0 - 20)/(-8 - 0)= -20/-8= 20/8= 5/4

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form. A.y= 3/5x+4/5 B.y= 3/5x-4/5 C.y=-3/5x-4/5

Answers

Slope-intercept form: y = mx + b

m = the slope

b = y-intercept.

In this problem,

m = 3/5

b = ?

So far y = 3/5x + b

Let's plug the point (-3, -1) into our slope equation.

-1 = 3/5(-3) + b

Simplify the right side.

-1 = -9/5 + b

Add 9/5 to both sides.

4/5 = b

The equation is: y = 3/5x + 4/5

Answer choice A is correct.

Use the piecewise function to evaluate the following.
1.
(-2x² – 1,
X2
2
-
4,
X2
5
a. f(0) =
b. f(5) =
c. f(2)=
d. f(-3) =

Answers

I think B BUT IM NOT SURE

Find the slope of the line that passes through point (2,8) and point (9,7).

Answers

Answer:

m = -1/7

Step-by-step explanation:

7 - 8 = -1

9 - 2 = 7

m = -1/7

2xº
(8x - 10°
a. Solve for x
b. Find the measure of the angle on the right
c. Find the measure of the angle on the left

Answers

Step-by-step explanation:

2x + 7x - 10 = 180° because these rwo angles are supplementary

10x - 10 = 180°

10x = 190° divide both sides by 10

x = 19

measure of angle on the right:

8x - 10 ➡ 8 × 19 - 10 = 142°

measure of angle on the left:

2x ➡ 2 × 19 = 38°

3x + 6y =3 x - y = -7 Does the system have: no solutions, infinite solutions, or one solution?

Answers

Answer:

Step-by-step explanation:

3x + 6y = 3

x - y = -7

3x + 6y = 3

-3x - 3y = 21

3y = 24

y = 8

x - 8 = -7

x = 1

(1, 8)

answer is one solution

Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?

Answers

Answer:

i smell penys

Step-by-step explanation:


What would be the actual length, if the length of the model is 25 ft and the scale factor is less
than one?
20 ft, 25 ft, Or 30 ft

Answers

Answer:

20ft

Explanation:

You multiply the model length by the scale factor to find the actual length. If the scale factor is less than zero, then the actual size will be smaller than the model. Therefore, your answer would be 20ft.

Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

The actual length of the model will be 30 feet. Then the correct option is C.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The length of the model is 25 feet. And the scale factor is less than one.

We know that if the scale factor is from zero to one, then the size of the actual length increases.

If the scale factor is greater than zero, then the size of the actual length decrease.

And if the scale factor is one, then the size does not change.

The size of the actual length will be greater than 25 feet.

The actual length of the model will be 30 feet. Then the correct option is C.

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Hi.
I need help with these questions
Please show workings

The remaining options for No 49 are :
a. 40k
B. 60k
C. N1.40
D. 1.60
E. No change

Note : (100k = N1)​

Answers

Answer:  48) D. 4        49) C. N1.40

Step-by-step explanation:

A $2 postal money order actually costs $2.15

$10.00 ÷ $2.15 = 4.65

Since you can't purchase a fraction of a money order, the most you can buy is 4

4 money orders will cost  $2.15 × 4 = $8.60

The change from $10.00 will be  $10.00 - $8.60 = $1.40

I need help, please.

Answers

Answer: A
16x^2 - 56xy + 49y^2
4^2x^2 - 2 • 4x • 7y + 7^2y^2
(4x)^2 - 2 • 4x • 7y + (7y)^2
=(4x-7y)^2

Ella works in the produce section at a grocery store. The store receives a shipment of green
and red apples that weighs 20.4 pounds in total. Ella separates the green and red apples into
bins by color. If red apples make up of the shipment by weight, how many pounds of
apples are green?
4

Answers

Answer:

74 is the answer please mark me as brainlist and also follow me

sara says. "if you subtract 14 from my number and multiply the difference by -4, the result is -80." What is Sara's number?​

Answers

Answer:

34

Step-by-step explanation:

We can solve this equation by giving Sara's number a variable.

Let it be x.

Then we solve by simply interpreting the problem step by step.

"If you subtract 14 from my number..."

x - 14

"...and multiply the different by -4..."

-4(x-14)

"...the result is -80"

-4(x-14) = -80

Now that we have our equation, we can solve for x.

1.) Use distributive property to expand.

-4x + 56 = -80

2.) Subtract 56 from both sides

-4x = -136

3.) Divide by -4

x = 34

Sara's number is 34

Using distributive property to expand, it is found that Sara's number is; 34

What is distributive property?

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

We need to solve this equation by giving Sara's number a variable.

Let the Sara's number a variable be x.

Then we solve by simply interpreting "If you subtract 14 from my number..." means

x - 14

Then "...and multiply the different by -4..." means -4(x-14)

"...the result is -80"

-4(x-14) = -80

Now that we have our equation,

1.) Use distributive property to expand;

-4x + 56 = -80

Subtract 56 from both sides;

-4x = -136

Now Divide by -4

x = 34

Hence, Sara's number is; 34

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Step by step order ....

Answers

To isolate x you would start by subtracting 1/2 from both sides and be left with 1/5x= 7/2, then you would multiply both sides by 5 to get rid of 1/5 and you would be left with x=35/2

Answer:

Step-by-step explanation:

1. Determine the LCM of the denominators LCM=10

2. Multiply each piece of the equation by the common denominator.

3. 2x + 5 = 40

4. Subtract 5 from both sides

5. 2x = 35

6. Divide both sides by 2

7. x = 35/2

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