Solve 2/3 (3x+14)=7x+6 by first multiplying both sides of the equation by 3 before applying the distributive property

Answers

Answer 1

[tex]\dfrac23 (3x +14) =7x+6\\\\\\\implies 3\left[\dfrac 23 (3x+14) \right] = 3(7x+6)\\\\\\\implies 2(3x+14) = 21x +18\\\\\implies 6x + 28 =21x +18\\\\\implies 21x -6x = 28-18\\\\\implies 15x = 10\\\\\implies x = \dfrac{10}{15} = \dfrac 23[/tex]


Related Questions

help!!?1!1!1!1!1!1!1?1?1!?1?1!1?1!1?1?1?1?1??1?1!1

Answers

Joshua: 143.826 grams

Phoebe: 144 grams

Oliver: Unsure, but for sure what shouldn't happen

Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information

Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals

Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen

Joshua: 143.826 grams (advantageous)

Phoebe: 144 grams (Disadvantage)

Oliver: Disadvantage

What is Rounding off?

Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.

Joshua:

Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.

Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.

Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.

Learn more about Rounding off here:

https://brainly.com/question/13391706

#SPJ5

A positive real number is 2 less than another. When 4 times the larger is added to the
square of the smaller, the result is 16. Find the numbers.

Answers

Answer:

by how i was taught its 2

Step-by-step explanation:

Scott bought
1
6
ton of rocks. Scott and 9 of his neighbors shared the rocks equally. What fraction of a ton of rocks will each person get?

Answers

Answer:

The answer is 16/10 or 1.6

Step-by-step explanation:

I'm guessing Scott bought 16 ton of rocks for this question since the question was written weirdly.

We know that Scott will share his 16 ton of rocks with 9 neighbors and himself.

Which means that the answer is 16/10 because Scott is gonna divide his 16 ton of rocks with 10 people. (9 neighbors and himself)

Hope this helps! :)

૮ ・ﻌ・ა

Help pelsss thank you math sucks

Answers

Answer:

103

Step-by-step explanation:

180-77=103

what is the area of 146km 6.3km and 5.4km

Answers

Answer:

Step-by-step explanation:

Ask Siri

Answer:

Step-by-step explanation:

classyfying triangles unit 4

Answers

Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Is there more to the question? or a link/ picture you forgot to add?

Step-by-step explanation:

Name the triangle as described

Answers

Answer:

scalene triangle

Step-by-step explanation:

which expression represents 100 less than 3 times the sum of 18 and 2

Answers

Answer: 3 times (18+ 2) - 100

3 (18+2) - 100 = -40

Step-by-step explanation:

Unit 4 Solving Quadratic equations {and complex number}

Answers

1.) a=5, b=9, c=-4
2.) C
3.) No solution
4.) x=-2, x=1.25
5.) x=-9, x=3
6.) quadratic formula
7.) 2
8.) 11cm by 16cm

Select the graph of the equation y + x + 3 = 0.

Answers

Answer:

the fourth image

Step-by-step explanation:

y + x + 3 = 0

y = -x - 3

meaning slope = -1

and y-intercept is -3

answer: image attached

because they all look similar, it is the one that moves exactly one block per unit

Two wheelchair ramps, each 10 feet long, lead to the two ends of the entrance porch of Mr. Bell's restaurant. The two ends of the porch are at the same height from the ground, and the start of each ramp is the same distance from the base of the porch. The angle of the first ramp to the ground is 24°.

Answers

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

I got a 100% on my mastery test

A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?

Answers

Answer:

=$114.750

Step-by-step explanation:

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ5


If your gross monthly income is $2,500. What is your net monthly income after the government deducts the following percentages for taxes: Federal 25%, Indiana 3.4%, Social Security
6.1%, Medicare 1.4% and Local tax 1%.

Answers

Answer:

$1,577.50

Step-by-step explanation:

25+3.4+6.1+1.4+1= 36.9%

2,500*0.369 = 922.5

2500-922.5= 1577.5

Use technology to find points and graph the line -4y=-x+20

plotting on a graph

Answers

Step-by-step explanation:

First we need to isolate the y, by dividing -4 on both sides. This will give you y = 1/4x - 5.

Now you can properly graph the equation:

Since -5 is the y-intercept (the point in which the line intercepts the y-axis), we will place our first point at (0,-5) on the graph.

In order to find the next point, we will use the slope of the line and do rise/run. So we will go upwards 1 unit and to the right 4 units.

(Image of graph will be attached above⤴⤴⤴)

Hope this helps you :)

Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?

Answers

The total cost of the trip Lisa wants to take over the weekend is $500.

Let the total cost of the trip be T.

Given the following data:

Savings account balance = $200Percent of trip expenses = 40%

To determine the total cost of the trip Lisa wants to take over the weekend:

Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.

Total cost of her trip:

[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]

Total cost, T = $500.

Read more: https://brainly.com/question/2021001

17. Solve for x: 3xyz
i need help i would be very grateful ty :)

Answers

Answer:

C. x = P/3yz

Step-by-step explanation:

Given equation:

3xyz = P

Solve for x, divide both sides by 3yz:

3xyz/3yz = P/3yzx = P/3yz

Correct choice is C

HELP!!!!
Solve, 4/9 - 4/10

Answers

Answer:

[tex]\frac{2}{45}[/tex]

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

4/9 times 10 = 40/90
4/10 times 9 = 36/90
40/90-36/90= 4/90 or 2/45 (simplified)

What is x + 1 and x + 2

Answers

Answer:

I don't get what you're asking.

Do you want me to solve for x? :D

(✿◡‿◡) HAPPY HOLIDAYS!!!

Ok so you add them up and you should get X=1 and X=2 that should be it!!

Evaluate 2/3p + 3 when p = 3/5=

Answers

Answer:

so 2/3X 3/5 + 3

10 + 9 / 15 by LCM method

so 19/15 + 3 = 19/15 + 45/15 = 64/15

hope it helps

Step-by-step explanation:

Answer:

3 2/5

Step-by-step explanation:

2/3 (3/5) + 3

Multiply

6/15 + 3

Reduce fraction

2/5 + 3 = 3 2/5

Two angles are supplementary. The larger angle is 28∘ more than the smaller angle. Find the measure of the larger angle.

Answers

Supplementary means that the angles together equal 180°

So we simply do 180 - 28 = 152°

Hope this helps!

Help me please I'm stuck on this question​

Answers

Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer?​

Answers

Answer:

Yes all of the logs can be used in such a grouping.

We'll have 19 logs in the bottom row (and have 19 rows)

========================================================

Explanation:

Let n be the number of layers. Let T(n) represent how many logs there are total.

If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15

This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula

T(n) = 0.5*n*(n+1)

---------------

For example, let's say we wanted to find how many logs there were in the fifth layer

T(n) = 0.5*n*(n+1)

T(5) = 0.5*5*(5+1)

T(5) = 15

This matches from earlier.

The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.

-------------------

T(n) = 0.5*n*(n+1)

190 = 0.5*n*(n+1)

190*2 = n(n+1)

380 = n^2+n

0 = n^2+n-380

n^2+n-180 = 0

Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.

If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.

----------

Check:

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

11+12+13+14+15+16+17+18+19 = 135

55+135 = 190

Or you could say,

T(n) = 0.5*n*(n+1)

T(19) = 0.5*19*(19+1)

T(19) = 190

Either way, the answer is confirmed.

What is the average rate of change on the interval from 3 to 9?
Enter your answer in the grid below. Make sure your answer contain

Answers

Answer:

5

Step-by-step explanation:

Help I will give brainlest

Answers

8(x+18) is less than or equal to 19

Simplify 8 to the second power plus 2

Answers

8^2 + 2 = 64 + 2 = 66

The answer is 66 because 8 to the second power is 64 and then you add 2.

Answer:

66

Step-by-step explanation:

8^2 is equal to 64

64 +2 = 66

8^2 is 8x8

so 8x8= 64

64+2 is 66

3 + 6 x (5 + 4) ÷ 3 -7?

Answers

Answer:

Answer: 14

Step-by-step explanation:

[tex]{ \rm{3 + 6 \times (5 + 4) \div 3 - 7}} \\ \\ = { \rm{3 + (6 \times 9) \div 3 - 7}} \\ \\ = { \rm{3 + (54 \div 3) - 7}} \\ \\ = { \rm{14 }}[/tex]

Which values from the given replacement set make up the solution set of this inequality?

5m≤10; {0, 2, 4, 6}


{0, 4, 6}

{2}

{0, 2}

{2, 4, 6}

Answers

Answer:

the solution to the inequality is m[tex]\leq[/tex] 2, so the solution set can include 2 and 0 since it is less then 2. but the rest do not work. so the answer is {0,2}

Step-by-step explanation:

5m[tex]\leq[/tex]10

divide by 5 on both sides and you are left with

m[tex]\leq[/tex]2

only 2 and 0 are less than or equal to 2

Hope this helps!

Pls help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

See below:

Step-by-step explanation:

First fill in:

180* . Every triangle has interior measurments of 180* total

Second fill in: Reason is definition of sum of triangle's interior angles

Third fill in: 2x. Everything in this equation is asking for the angles. First angle is 28, second angle is 2x, and third angle is x-4.

Fourth fill in: x=52

I found this by doing the following:

First, 180-28, so we can see how many degree we are left with.

152.

Now, make an equation:

152=2x+x-4

Simplify

152=3x-4

Add 4 to both sides to cancel out the -4.

156=3x

divide 156/3=52.

Now we know that x=52.

Although the question doesn't ask for this, you would now substitue 52 back into each of the equations to find that degree. For example, 2x=2(52), or 104*.

Answer:

See image

Step-by-step explanation:

All the angles of a triangle add up to 180°

The given diagram shows all the measures: 28°, x - 4° , and 2x

So add them up, set equal to 180 and solve for x. Combine like terms and subtract 24 from both sides of the equation. Divide both sides by 3. x = 52

What is meant by a circle's diameter?

Answers

Answer:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Step-by-step explanation:

please mark my answer in brainlist

Answer:

Step-by-step explanation

F u

what is the answer this math problem?​

Answers

Answer:

HLO Mate here is ur answer

Other Questions
Put the words in order to form sentences. Remember to use past simple for the verbs.to / we / move / Marryland / week / a / ago / which of these is a form of narrative? Simplify |x| - |-x|. Heres the zoomed graph! Write at least two paragraph about your opinion about the drawing below do it on the space provide How was World War I different from earlier wars?A It started because of alliances and treaties.B Belgium was involved in a war.C There were so few people involved in the war effort.D There was such a huge number of people involved in the war effort. HELPA supply curve is opposite of a demand curve. From which point -of -view does a supply curve make the most sense? which cost the most per tablet50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42 Alex wants to buy the same number of stamps and envelops. Stamps are sold in packs of 14 and envelops are sold in the packs of 10.What is the least number of each he could buy to have the same number of stamps and envelops?Please show work Which king made Christianity the official religion of Axum? King Tut King Muhammad King Omar King Ezana Individuals, as well as industryand automobile manufacturers in particular have an obligation to work to reduce carbon dioxide emissions that may increase the level of greenhouse gases in the atmosphere. Agree or disagree an atom of chlorine has an amount number of 17 and a mass number of 37. how many protons neutrons, and electrons are in the atom? A new social mobile app you are developing allows users to find friends who are logged in and within a 10-mile radius. This would be categorized as a ________ service. Group of answer choices geosocial geoinformation geomapping geoadvertising ive been looking and thinking for over an hour, can someone probably help me? what time does bath and body works open on candle day The atomic mass of the most common isotope of magnesium is what are Metals that are less reactive than alkali metals and alkaline-earth metals called Is Midnight in the Garden of Good and Evil actually about Good vs. Evil? I know it's about homicide (and being on trial for it), but could I mention it in my paper about good vs. evil? Tom has a piece of wood that is 10 and 1/3 inches long. He divides the wood into pieces that are 2 and 1/5 inches long. How many pieces will he have? Calculate the empirical formula for acetaminophen(Tylenol)