5. (01.07)
Solve 3x - x + 2 = 12. (1 point)

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

Simplify. First, combine like terms:

3x - x + 2 = 12

(3x - x) + 2 = 12

(2x) + 2 = 12

2x + 2 = 12

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

& is your order of operation.

First, subtract 2 from both sides:

2x + 2 (-2) = 12 (-2)

2x = 12 - 2

2x = 10

Next, divide 2 from both sides:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

Check: Plug in 5 for x in the equation. Solve:

3(5) - (5) + 2 = 12

15 - 5 + 2 = 12

10 + 2 = 12

12 = 12 (True)

~

Answer 2

Answer:

x = 5

Step-by-step explanation:

Combining like terms, we get 2x = 10.  Dividing both sides by 2 yields

x = 5


Related Questions

Simplify. Rewrite the expression in the form k⋅y^n. (2y^4)^3

Answers

Answer:

The answer is

[tex] {8.y}^{12} [/tex]

Step-by-step explanation:

(2y⁴)³

Using the rules of indices

That's

[tex]( {ax})^{b} = {a}^{b} . {x}^{b} [/tex]

So for the above expression we have

[tex]( {2y^{4} })^{3} = {2}^{3} . {y}^{4 \times 3} [/tex]

Simplify

We have the final answer as

8.y¹²

Hope this helps you

A rectangle has an area of 90 units. what is the rectangles length and width?

Answers

Step-by-step explanation:

You must specify the length or the breadth either in values, variables or ratio. ..

There are infinite answers for this question., so I guess you have missed printing some information in it.. so rewrite the question please

Given that (0,-5) is on the graph of f(x), find the
corresponding point for the function
f(-4x).​

Answers

Answer:

the corresponding point for the function f(x) − 4 is (0,-9)

Step by Step Explanation --

Given that (0, -5) is on the graph of f(x),

WE need to find the corresponding point for the function f(-4x}

f(x) means the output y

f(x)-4 means subtract 4 from the output y

In the given point  (0, 5) , x is 0  and y is -5

To get the corresponding point we subtact 4 from y

that is [-5]- 4 = -9

the corresponding point for the function f(x) − 4 is (-3,1)

Step-by-step explanation:

Answer:

(0,-5)

Step-by-step explanation:

Paj is filling a -cubic-inch flower pot with soil from small bags. Each bag of soil contains cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

Answers

Complete Question

Paj is filling a 9-cubic-inch flower pot with soil from small bags. Each bag of soil contains 2 2/3  cubic inches of soil. Exactly how many bags of soil are needed for Paj to fill the flower pot?

Answer:

[tex]Number\ of\ Bags = 3\frac{3}{8}[/tex]

Step-by-step explanation:

Given

[tex]Flower\ Pot = 9 in^3[/tex]

[tex]Small\ Bag = 2\frac{2}{3} in^3[/tex]

Required

How many bag of soil can fill the flower pot

To solve this,we simply divide the volume of flower pots by the small bags. This is done as follows;

[tex]Number\ of\ Bags = \frac{Flower\ Pot}{Small\ Bag}[/tex]

[tex]Number\ of\ Bags = \frac{9 in^3}{2\frac{2}{3} in^3}[/tex]

Convert fraction

[tex]Number\ of\ Bags= \frac{9 in^3}{\frac{8}{3} in^3}[/tex]

[tex]Number\ of\ Bags = 9 in^3/\frac{8}{3} in^3[/tex]

[tex]Number\ of\ Bags = 9 * \frac{3}{8}[/tex]

[tex]Number\ of\ Bags = \frac{9 * 3}{8}[/tex]

[tex]Number\ of\ Bags = \frac{27}{8}[/tex]

[tex]Number\ of\ Bags = 3\frac{3}{8}[/tex]

Hence, the number of bags needed is  [tex]3\frac{3}{8}[/tex]

Circle A has center of (4, 6) and a radius of 5, and circle B has a center of (1, 0) and a radius of 15. What steps will hemp show that circle A is similar to circle B?

A. Dilate circle A by a scale factor of 3.

B. Translate circle A using the rule (x - 3, y + 6).

C. Rotate circle A 180 About the center.

D. Reflect circle A over the y-axis.​

Answers

Answer:

The correct option is;

A Dilate circle A by a scale factor of 3

Step-by-step explanation:

The given parameters are;

The center of circle A is (4, 6)

The radius of circle A = 5

The center of circle B = (1, 0)

The radius of circle B = 15

Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3

Radius of circle A = 5,

Radius of circle B = 15 = 3 × 5

Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.

For a circle to be similar dilate circle A by a scale factor of 3

What is a circle?

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given parameters are;

The centre of circle A is (4, 6)The radius of circle A = 5The center of circle B = (1, 0)The radius of circle B = 15

Therefore, circle A is similar to circle B and is equivalent to circle B, scaled down by a factor of 3

The radius of circle A = 5,

Radius of circle B = 15 = 3 × 5

Therefore, the scale factor for the dilation (transformation) of circle A to circle B is 3.

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You have a function that takes in an X value and produces a Y value. The y value equals 24 times the x value, plus 4 more. What's the y value when the x value equals 4?

Answers

Answer:

They "y" value = (4 * 24) + 4 which equals

100

Step-by-step explanation:

im bad with shapes just look at the picture and tell me best of luck

Answers

Answer: They are both right triangles so you can use the Pythagorean Theorem to get the length of the missing side

12^2 = 144. 5^2 = 25. 144 + 25 = 169. 13^2 = 169. Or you could say the sure root of 169 is 13.

Step-by-step explanation:

The triangles are congruent because the three sides of triangle A are equal to the three sides of triangle B.

In geometry they call that proof "sss" meaning 3 same sides. Or you could prove by "sas" 2 equal sides and an equal angle.

Answer:

Answer: They are both right triangles so you can use the Pythagorean Theorem to get the length of the missing side

12^2 = 144. 5^2 = 25. 144 + 25 = 169. 13^2 = 169. Or you could say the sure root of 169 is 13.

Step-by-step explanation:

The triangles are congruent because the three sides of triangle A are equal to the three sides of triangle B.

In geometry they call that proof "sss" meaning 3 same sides. Or you could prove by "sas" 2 equal sides and an equal angle.

A diver swims 5.875 feet up to the surface of the water which number represents the divers position in relation to the surface before swimming to the top -5.9 ft -5 3/4 -58 or -5 7/8

Answers

Answer:

-5 7/8 = -5.875

Step-by-step explanation:

Before swimming to the top, the swimmer was 5.875 ft down

Answer:

-5 7/8 feet

Step-by-step explanation:

The opposite of 5.675 is 5 7/8 feet (I don't know if the explanation is right but the answer is)

Find the Absolute Value of: |-16+9|

Answers

Answer:

7

Step-by-step explanation:

|-16+9|

Calculate the number inside the absolute value

|-7|

Now take the absolute value

7

Answer:

its 7

Step-by-step explanation:

Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.

Answers

Answer:

1 inches = $0.24

Step-by-step explanation:

9.5 inches =$2.28

$2.28 ÷ 9.5= .24

so the answer is 1 inch = $0.24

The price per inch of plant is $0.24.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Bob sets the price of the plants according to their height in inches.

A plant that is 9.5 inches high costs $2.28 in his store.

To find the price of the plant per inch:

Use division operation;

2.28 / 9.5

= $0.24 per inch.

Therefore, price is $0.24 per inch.

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Factor the expression and use the factor to find the x-intercepts of the quadratic relationship it represents.

The x intercepts occur where x= ___ and x= ___

Answers

Answer:

-3 and 8

Step-by-step explanation:

take a look at the picture. Hope it helps! Mark Brainliest pleaseee :)

The x intercepts occur where x = 8 and x= -3

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex].

What is x intercept?

The x-intercept is where a line crosses the x-axis

Given,

[tex]-x^{2} +5x+24=0[/tex]

Factor the expression,

[tex]-x^{2} +5x+24=0\\-(x^{2} -5x-24)=0\\x^{2} -5x-24=0\\(x-8)(x+3)=0\\[/tex]

Therefore,

x= 8 and x = -3

Hence, the x intercepts occurs where x= 8  and x= -3

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Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches. How much more does Turbo Taste cost per pouch?

Answers

Answer:

2 cents

Step-by-step explanation:

you would just divide the Flav-O-Squeeze price by 12 since there are 12 pouches and the Turbo Taste price by 20 since there are 20 pouches and then you would get 1 pack of Flav-O-Squeeze is 49 cents and 1 pack of Turbo Taste is 51 cents and if you subtract them Turbo Taste is 2 cents more then Flav-O-Squeeze

The cost of Turbo Taste per pouch is $0.02.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Mike is buying a box of juice pouches. Flav-O-Squeeze costs $5.88 for 12 pouches. Turbo Taste costs $10.20 for 20 pouches.

The more cost will be calculated as,

Cost of Turbo Taste = 10.20 / 20 = $0.51

The cost of Flate-O-Squeeze = 5.88 / 12 = $0.49

The more cost of Turbo-Taste = 0.51 - 0.49

The more cost of Turbo-Taste = $0.02

Therefore, the cost of Turbo Taste per pouch is $0.02.

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Use the Order of Operations to evaluate: 19 •4 - 3+3

Answers

Answer:

76

Step-by-step explanation:

multiply 19^4 first to get 76, then minus 3 from that to get 73, and add 3 back to that to get 76.

i think the answer is 76

Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you win. If it is not, Kyle wins. What is your probability of winning? Is this a fair game?

Answers

Answer:

The probability of you winning is 1/3

No, it is not a fair game

Step-by-step explanation:

The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.

Please check attachment for this

Kindly note that the total number of possible outcomes is 36.

And in the attachment, sums which are divisible by 3 are circled.

The number of circles we can count is 12

Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3

Is it a fair game?

No, it is not

It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)

2x – 5 + 3x + 12

5x + 7

Answers

Answer:

x=-5

Step-by-step explanation:

I used my ti-84 plus ce calculator to calculate this

>math

>numerical solver

>type equation

>enter

>you answer appears

Answer this question​

Answers

Answer:

Option C

Step-by-step explanation:

angle B = angle C

angle B + angle C = angle DAC

angle DAC = 2 x angle DAX

angle DAX = 70 deg

=> angle DAC = 2 x 70 = 140 deg

=> angle B = angle C = 70 deg

what is quadratic and it's formula​

Answers

Answer:

A quadratic (equation or expression) involves the second and no higher power of an unknown quantity or variable.

Step-by-step explanation:

The quadratic formula is derived from the General form of a quadratic equation :

ax+bx+c=0

using completing the square method.

Quadratic formula=

[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

2. Simplify the following expression 1 (16 (16-12)​

Answers

Answer:

The answer is 64.

16-12=4.

4×16×1=64.

Answer:

The answer is 64.

Step-by-step explanation:

16-12=4.

4×16×1=64.

f(x)=[tex]\sqrt{x+4}[/tex] and g(x)=[tex]x^{2}[/tex]

find f(g(-6)

Answers

Answer:

[tex]f(g(-6))=2\sqrt{10}[/tex]

Step-by-step explanation:

first we need to find g(-6)

[tex]g(x)= x^2\\\\g(-6)=(-6)^2\\\\g(-6)=36[/tex]

so g(-6)=36

so we need to find f(36)

[tex]f(x)=\sqrt{x+4} \\\\f(36)=\sqrt{36+4} \\\\f(36)=\sqrt{40}\\\\f(36)=\sqrt{4}* \sqrt{10} \\\\f(36)=2\sqrt{10}[/tex]

so that's answer

[tex]f(g(-6))=2\sqrt{10}[/tex]

Find the measure of AB¯¯¯¯¯¯¯¯. A. 14 B. 22 C. 21 D. 20

Answers

Answer:

C. 21

Step-by-step explanation:

We use the Power of Point theorem, which states that for points A, B, C, D, and E oriented in the way shown in the attachment:

BC * AC = DC * EC

Here:

AC = AB + BC = (2x + 5) + 9 = 2x + 14

BC = 9

DC = 10

EC = KC = (1 + 2x) + 10 = 2x + 11

So plug all these in:

BC * AC = DC * EC

9 * (2x + 14) = 10 * (2x + 11)

18x + 126 = 20x + 110

2x = 126 - 110 = 16

x = 8

Put this back into the expression for AB:

AB = 2x + 5 = 2 * 8 + 5 = 16 + 5 = 21

The answer is thus C.

~ an aesthetics lover

Describe a real-world situation in which opposite quantities add together to equal zero.

Answers

Answer: Answer is  in the steps.

Step-by-step explanation:

One situation is this.

Jason borrowed $5 from his best friend during a field trip and agreed to pay him back the next school day.The next day, he came back to school with $10 and used $5 to pay his friend back.Now answer the this question. How much does Jason owe his best friend now?

The answer to the question will be zero because Jason has already paid his friend all the money he borrowed.

If f(x)=3/x+2- sq x-3, complete the following statement: f(19)=__

Answers

Answer:

answer is 27/7

Step-by-step explanation:

F(19) means u have to put the value of x as 19

so by putting 19 we get

3/19+2 -root (19-3)

so 3/21 - root 16

or 3/21 -4

or 3- 84/21

or 81/21

ans= 3x27/3x7= 27/7

thank u

Please answer quickly I will give BRAINLIEST to the person who is fastest and correct please hurry thank you

Answers

Answer:

0.5 m³

Step-by-step explanation:

You have a rectangular prism and a cube.  Find the volume of each separately.  After solving, add the two volumes together to find the total volume.

Cube

The side length is 0.5 m.

V = a³

V = (0.5 m)³

V = 0.125 m³

Rectangular Prism

The height is 0.75 m, the width is 0.5 m, the length is 1 m.

V = lwh

V = (0.75 m)(0.5 m)(1 m)

V = 0.375 m³

0.125 m³ + 0.375 m³ = 0.5 m³

[tex]-2m-5m=9m-12[/tex]

Answers

Answer:

[tex] - 2m - 5m = 9m - 12 \\ ⟶ - 2m - 5m - 9m = - 12 \\ ⟶ - 16m = - 12 \\ ⟶ - m = \frac{ - 12}{16} \\ ⟶ - m = \frac{ - 6}{8} \\ ⟶ m = - ( - \frac{6}{8} ) \\ ⟶m = \frac{6}{8} [/tex]

[tex]m=0.75[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{m = 0.75}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 2m - 5m = 9m - 12}[/tex]

Collect like terms

⇒[tex] \sf{ - 7m = 9m - 12}[/tex]

Move 9m to left hand side and change it's sign

⇒[tex] \sf{ - 7m - 9m = - 12}[/tex]

Collect like terms

⇒[tex] \sf{ - 16m = - 12}[/tex]

Divide both sides of the equation by -16

⇒[tex] \sf{ \frac{ - 16m}{ - 16} = \frac{ - 12}{ - 16} }[/tex]

Calculate

⇒[tex] \sf{ m = 0.75}[/tex]

Hope I helped!

Best regards!!

*PLEASE ANSWER!!!* What is the volume of this prism?

Answers

I’m pretty sure it’s D) 160

Answer:

D, 160

Step-by-step explanation:

Base: from a rectangle 6×8 a square 4×4 is removed.

Base area: 6×8-4×4=48-16=32 square units.

Volume: base are × height=32×5=160cubic units.

Answer: D, 160


Suppose a population
consists of 85,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
O A. 850
O B. Both 850 and 85,000
O C. 85,000
D. Neither 850 nor 85,000

Answers

Answer:

c

Step-by-step explanation: A P E X

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The correct option is C.

What is a sample?

A sample is a statistically significant subset of a larger population. The utilisation of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.

Given that a population consist of 85,000 people. Now, the number of members of the population that being surveyed could result in a parameter but not a sample static is 8500. This is because a parameter is a value that describes a specific attribute of the population as a whole. A sample survey cannot provide this information. To determine the real value of a parameter, the entire population must be examined.

Hence, the correct option is 85,000.

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Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is $7 for as long as Susan needs the bike. Barbara has $250 to rent a bike for 15 days. Does Barbara have enough money? Explain. First answer gets Brainiest and 48 points hurry please tho

Answers

Answer:

No, she does not.

Step-by-step explanation:

Using the words here, we can create the expression [tex]20d + 7[/tex] where d is the number of days.

We can now substitute 15 in as d, to see how much this will cost.

[tex]20\cdot15 + 7\\\\300+7\\\\307[/tex]

So the total cost will be $307.

Since $307 is more than $250, she does not have enough money.

Hope this helped!

Find the midpoint of the segment with the given endpoints.

(-5,3) and (-4,-8)

The midpoint is _

Answers

Answer:  (-4.5, -2.5)

Step-by-step explanation:

Please help me similar triangles make no sense to me
I have to determine if they are similar or not and make a similarity statement

Answers

Answer:

Step-by-step explanation:

Compare the ratios of the triangles like so:

Bigger to smaller

[tex]\frac{15}{10}=\frac{12}{8}[/tex]

This statement is true. Both fractions simplified are equal to 1.5. Since they have the same ratios, they should be similar.

Help plzzzzzzz......​

Answers

Answer:

A. England = 56000000

B. 1.046 * 10^7

C. 9.7 to 2sf

Step-by-step explanation:

A. England = 5.60*10000000

=56000000

B. Wale = 3.14*1000000 = 3140000

Scotland = 5.44*1000000 = 5440000

Northern Ireland = 1.88*1000000 =1880000

Total = 10460000

In standard form =1.046*10^7

C. Total population as at 2018 = 66460000

expected population by 2041 = 72900000

increase or change = (72900000 - 66460000) = 6440000

% change = (6440000/66460000)*100

= 0.0969003912 * 100

= 9.69003912

= 9.7 to 2sf

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Kesterson Corporation has provided the following information: Cost per Unit Cost per Period Direct materials $ 6.60 Direct labor $ 3.90 Variable manufacturing overhead $ 1.55 Fixed manufacturing overhead $ 27,900 Sales commissions $ 1.90 Variable administrative expense $ 0.60 Fixed selling and administrative expense $ 7,200 The incremental manufacturing cost that the company will incur if it increases production from 9,000 to 9,001 units is closest to: HURRY PLEASEEEEEEEEE...? What is the definition of an angle? A.A part of a line starting at a particular point and extending indefinitely in one direction. B.To rays sharing a common endpoint. C.All points between and including two endpoints. D.The set of all points that a fixed distance from a given point. Select the proper description of the following group of words.On December 17, 1903, at Kitty Hawk, the Wright Brothers. fragment: contains no subjectfragment: contains no predicatecomplete sentence Find the value of3a-4ab-26 when A= -1 and b-4 calculate the values of the Expressions below 6 - 2 (4 + 5) + 6 According to rankings by many people over the years what is the number one expectation that people have a job they will enjoy Solve the equation (If possible please show work) Continue this pattern of shapes for three more steps. . Hurry i have 2 questions left and will give brianlestThere is a public debate between the three candidates for the U.S. Senate. During the debate, the topics of oil and energy are addressed. All three candidates express their views on the issue: Edgar Eisenhower: "We need to cut our dependence on foreign oil. Instead, let's use the natural world around us. Think about the sun, wind, water, the heat of the earth, and the crops in our fields. These will make for affordable energy in the 21st century. We should fund research in those areas. Let us also increase tax credits for private investment in clean, renewable sources of energy." Rebecca Roosevelt: "We need to cut our dependence on foreign oil and develop a national energy strategy. We should provide tax incentives for producing energy in the U.S. Let's increase U.S. supplies of coal, oil, and natural gas. We should promote environmentally responsible exploration and development of oil and gas reserves. That includes federal land like Alaska's National Wildlife Refuge. Let's also advance clean coal technology." Terrance Taft: "Looking at our energy supply is one thinghow we're using it is another. We can drive smaller, more fuel-efficient cars. We can invest in more efficient technology for our homes and businesses. These things add up and make a big difference. In fact, in several new buildings associated with Taft Inc., we address our energy needs with locally produced renewable energy. That wouldn't be possible if we were using outdated, energy guzzling technology." Often politicians will agree that something is a priority but have very different recommendations on how to best address it. What would be the best example of this from the previous section? What do you think about Gravity Falls? The set of numbers that includes all positive numbers, zero,and all negative numbers are called What is a good example either a historical, current, or personal event. Of distribution of power why is distribution of resources unfair between rich and poor countries of the world? I live in (a beautiful city) The words in bracket is : A) Noun phrase B) Noun clause C) Adverb phrase D) Adverb clause What is the product of 50x 0.08 The colonies of New York, Pennsylvania, New Jersey, and Delaware were all part of which colonial region? (4 points) Besides the American Revolution, Thomas Paine was also involved in? Doreen is an excellent group member. At meetings, she always shares her research with other group members. Which task-oriented role does Doreen play? Write a descriptive paragraph on describing an inspiring friend or family member. 64. Determine whether the statement is true or false: The product of a rational and irrational number isalways irrational