[tex]-2x + 14 + 10x = 34[/tex]

Answers

Answer 1

Answer:

x = 2.5

Step-by-step explanation:

- 2x + 14 + 10x = 34 , that is

8x + 14 = 34 ( subtract 14 from both sides )

8x = 20 ( divide both sides by 8 )

x = 2.5


Related Questions

Old MacDonals raises chickens and sheep on his farm. His livestock has a total of 55 heads and 142 legs among them (not counting the farmer). How many chickens and how many sheep does he have

Answers

The number of chickens and sheeps on the Old MacDonals farm is 39 and 16 respectively.

Simultaneous equation

let

x = number of chickeny = number of sheep's

x + y = 55

2x + 4y = 142

Multiply (1) by 2

2x + 2y = 110

2x + 4y = 142

subtract the equation

4y - 2y = 142 - 110

2y = 32

y = 32/2

y = 16

substitute y = 16 into (1)

x + y = 55

x + 16 = 55

x = 55 - 16

x = 39

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In a triangle ABC, if angle A = 53 degree and Angle C=45 degree then find the value of Angle B is:​

Answers

Answer:

69

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer the question below please

Answers

The correct answer is : of those planning to not to go on vacation, more of them are women.

The correct answer is (C)

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event

Given:  total people asked =145

The first option is not correct because plan to go on vacation women are more than men.

The second option is also incorrect because more women were asked than men.

The third option is correct because out of planning who were not going any vacation, women are more than of men.

The fourth option is incorrect because More men plan to go on vacation.

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What's the most effective method for controlling inventory ? a ) Electronically , by reviewing billing receipts b ) Electronically , by checking recent orders Oc ) Visually , by looking at discarded packaging d ) Visually , by looking at what's on the shelf

Answers

Answer:

a ) Electronically , by reviewing billing receipts

Step-by-step explanation:

The main purpose of controlling inventory is to make sure that the optimal amount of products are being kept.

Therefore, option A is correct.

Lamar is considering two loans

Which loan will have the lowest total payback?

Answers

Answer:

Loan A will have the lowest total paycheck because the total of the principal than the same total for loan B

Given the function f(x) = 2x, evaluate ƒ(3).

Answers

Answer:

f(3) = 6

Step-by-step explanation:

you substitute 3 for x.

So you have 2(3) which is 2 multiplied by 3 which is 6

PLEASE HELP ME. QUAD has coordinates Q(-4, 9), U(2, 3), A(-3, -2), and D(-9, 4). Prove that quadrilateral QUAD is a
rectangle.

Answers

Check the picture below.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ Q(\stackrel{x_1}{-4}~,~\stackrel{y_1}{9})\qquad U(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) ~\hfill QU=\sqrt{[ 2- (-4)]^2 + [ 3- 9]^2} \\\\\\ ~\hfill \boxed{QU=\sqrt{72}} \\\\\\ U(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-2}) ~\hfill UA=\sqrt{[ -3- 2]^2 + [ -2- 3]^2} \\\\\\ ~\hfill \boxed{UA=\sqrt{50}}[/tex]

[tex]A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad D(\stackrel{x_2}{-9}~,~\stackrel{y_2}{4}) ~\hfill AD=\sqrt{[ -9- (-3)]^2 + [ 4- (-2)]^2} \\\\\\ ~\hfill \boxed{AD=\sqrt{72}} \\\\\\ D(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{-4}~,~\stackrel{y_2}{9}) ~\hfill DQ=\sqrt{[ -4- (-9)]^2 + [ 9- 4]^2} \\\\\\ ~\hfill \boxed{DQ=\sqrt{50}}[/tex]

now, let's take a peek at that above, DQ = UA and QU = AD, so opposite sides of the polygon are equal.

Now, let's check the slopes of DQ and QU

[tex]D(\stackrel{x_1}{-9}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{-4}~,~\stackrel{y_2}{9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-9)}}} \implies \cfrac{9 -4}{-4 +9}\implies \cfrac{5}{5}\implies \cfrac{1}{1}\implies 1 \\\\[-0.35em] ~\dotfill[/tex]

[tex]Q(\stackrel{x_1}{-4}~,~\stackrel{y_1}{9})\qquad U(\stackrel{x_2}{2}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{3 -9}{2 +4}\implies \cfrac{-6}{6}\implies \cfrac{-1}{1}\implies -1[/tex]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's notice that the reciprocal of 1/1 is just 1/1 and the negative of that is just -1/1 or -1, so QU has a slope that is really just the negative reciprocal of DQ, those two lines are perpendicular, thus making a 90° angle, and their congruent opposite sides will also make a 90°, that makes QUAD hmmm yeap, you guessed it.

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step expiation : 5575.3

Answer: 5575.3

Explanation:
The volume of a sphere is
V=4/3 x pi x r^2

And 22 is the diameter (d) but we need r (the radius)
r = d/2
r=22/2
r=11

Then plug in for r
V= 4/3 x pi x 11
V ≈ 5575.3

15 ( y - 4 ) - 2 (y - 9 ) + 5 (y + 6) = 0

Answers

Answer:

y = 2/3

Step-by-step explanation:

Assuming you are looking for "y":

15 * ( y - 4 ) - 2 * (y - 9 ) + 5 * (y + 6) = 0

15y - 60 - 2y + 18 + 5y + 30 = 0

15y - 2y + 5y -60 + 18 + 30 = 0

18y = 60 - 18 - 30

18y = 12

y = 12/18

y = 2/3

6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.

What was the original volume in liters?

Enter your answer as a decimal to the 10th place, like this: 4.2 l

Answers

The original volume of the gas would be 4.00 liters

What is Boyle's law?

Boyle's law is a gas law that states that the pressure of a gas is inversely proportional to it's volume with temperature kept constant.

It is represented thus;

P1V1 = P2V2

Where P1 = Original pressure = 6 atmospheres

V1 = Original volume =?

P2 = Final pressure =4 atmospheres

V2 = Final volume= 6 liters

How to calculate the original volume

Make the original volume V1, subject of formula

V1 = P2× V2 ÷ P1

V1 = 4× 6 ÷ 6 = 24 ÷ 6 = 4. 00 liters

Hence, the original volume of the gas is 4.00 liters

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Last month David and Mary saved some money in a ratio of 3:5. This month they saved an additional $154 together, and David now has three times as much money as he had last month and Mary has two times as much as she had last month. How much money did they save last month?

Answers

Answer:

David: $42Mary: $70

Step-by-step explanation:

The two relations can be translated to a system of linear equations in two variables. These can be solved in any of the usual ways.

__

setup

Let d and m represent the amounts David and Mary saved last month, respectively.

The first relation tells us

  d/m = 3/5   ⇒   5d = 3m   ⇒   5d -3m = 0

The second relation tells us that adding 3 times what David had last month to 2 times what Mary had last month will give a total that is 154 greater than the sum of their funds last month.

  d +m + 154 = 3d +2m   ⇒   2d +m = 154

__

solution

We can add 3 times the second equation to the first to eliminate m.

  (5d -3m) +3(2d +m) = (0) +3(154)

  11d = 462 . . . . . . . . simplify

  d = 42 . . . . . . . . . divide by 11

Using the second equation, we can find Mary's savings:

  m = 154 -2d

  m = 154 -2(420 = 70

David saved $42 last month; Mary saved $70.

WILL MARK AS BRAINLINEST!!

Answers

Answer:

Step-by-step explanation:

1. 54 Students

2. 4 Students

3.) 33 Students

4.) 10 Students

Just justify the answer for 5 and 6 you can do it<<33

Which action will help increase a low FICO score?

A.
reducing credit card balances
B.
holding payment on bills
C.
applying for credit more frequently

Answers

Reducing credit card balances would help increase a low FICO score.

Let me know if you have any other questions, hope this helps!

im a senior trying to graduate my school has me in the wrong classes i have adhd and i was supposed to be in diffrent classes but anyways i need help bad its due tn at 12 and if i dont get them in i dont graduate

Answers

Step-by-step explanation:

hope you can send the questions again because your question is to long to answer everything. I answered 1,2,3,4

solve it step by step​

Answers

The solution for this expression is:[tex]9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50[/tex].

Properties of Multiplication

The properties of multiplication are:

Distributive:  a(b±c)=  ab±acComutative:   a . b = b. aAssociative:    a(b+c)=  c(a+b)Identity: b.1=b

Here, you should apply the distributive property for solving this expression.

[tex](3\sqrt{3}+2\sqrt{5} )*(3\sqrt{2}-5\sqrt{5})\\ \\[/tex]

Applying the distributive property, you have:

[tex]9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*\sqrt{25} \\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-10*5\\ \\ 9\sqrt{6}-15\sqrt{15}+6\sqrt{10}-50[/tex]

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Follow the steps below for the following set of data. In your final answer include all of your calculations and all work in steps 1, 2, and 3.

8, 3, 5, 5, 4, 7

Find the median, lower quartile, and upper quartile of the set of data.

Use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper.

Use the box-and-whisker plot to find the range and the interquartile range of the set of data.

Answers

The answers to the question are

Median = 5Lower quartile = 4Upper quartile = 7

What is the median?

The median of the data set is gotten by arranging the values in order

3, 4, 5, 5, 7, 8

The median can be gotten by

5 + 5 / 2

= 10/2

Median = 5

What is the lower quartile?

This is the value under which 25 percent of the data are found in the group of data. The lower quartile is 4.

What is the upper quartile?

This is the point from which 75 percent of the data is found when it is in ascending order. The upper quartile is 7.

What is the lowest value

The lowest value in the data set is 3

What is the highest value

The highest value in the data set is 8

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area of sector................................

Answers

Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]

  = π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]

  = 36π × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]

  = 18 × [tex]\frac{4\pi }{9}[/tex]

  = 2 × 4π

  = 8π

  ≈ 25.1 cm² ( to the nearest tenth )

Find the area of a regular polygon with 6 sides that has a side length of 6 inches and an apothem of 4 inches.


Area = [?]in2

Answers

Answer:

see the attachment photo!

Please solve with explanation (high points)

Answers

Real life scenarios of acute angles are:

Sighting a bird on a tree at an angle of 55 degrees.The angle between a ladder and the horizontal ground

What are acute angles?

Acute angles are angles that have a measure less than 90 degrees.

How to create the real life scenario?

To create a real life scenario to illustrate acute angles, the following must be put in place:

The scenario must involve an angleThe angle must be less than 90 degrees.

Real life scenarios that satisfy the above highlights are:

Sighting a bird on a tree at an angle of 55 degrees.The angle between a ladder and the horizontal ground

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PLEASE HELP "What is the value of x in the triangle" (15 Points)

Answers

Answer:

The answer is B.) 3

Step-by-step explanation:

Answer:

jesse got right

Step-by-step explanation:

branliest.

Are these numbers rational or irrational? √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational please answer fast this needs to be in before tomorrow​

Answers

Step-by-step explanation:

any rational number can be expressed as a/b, with a and b being integer numbers, and b different to 0.

-7 = -7/1 rational

sqrt(10) irrational (because there is no rational number multiplied by itself that results in 10)

sqrt(16) = sqrt(4×4) = 4 = 4/1 rational

52% = 52/100 rational

1.235 = 1235/1000 rational

why does the equation 3x+7=-3x+2+6x has no solution?

Answers

Answer:

[tex]3x+7=-3x+2+6x[/tex]

Combine the like terms on the right side of the equation.

[tex]3x+7=3x+2[/tex]

Eliminate 3x from the equation.

[tex]7\neq 2[/tex]

Seven will never equal 2.

Step-by-step explanation:

[tex]3x+7=-3x+2+6x[/tex]

Combine the like terms on the right side of the equation.

[tex]3x+7=3x+2[/tex]

Eliminate 3x from the equation.

[tex]7\neq 2[/tex]

Seven will never equal 2.

To make 1 batch of green paint, Ethan mixes 2 3/8 (Fraction) just so you know

ounces of blue paint and the same amount of yellow paint. How many ounces of blue paint is needed to make 5 batches of green paint?

Select the correct values to give your answer as a mixed number:

Answers

Answer:

[tex]11\frac{7}{8}[/tex] ounces

Step-by-step explanation:

Since Ethan needs [tex]2 \frac{3}{8}[/tex] ounces of blue paint to make 1 batch of green paint, we can multiply the amount of blue paint needed by 5 to see how much blue paint he'll need for 5 batches of green paint.

[tex](2 \frac{3}{8})5 = 10 \frac{15}{8} \rightarrow \boxed{11\frac{7}{8}}[/tex]

This means he will need [tex]11\frac{7}{8}[/tex] ounces of blue paint to make 5 batches of green paint.

In a certain board game, a 12-sided number cube
showing numbers 1 through 12 is rolled. In this game, a
number cube must be rolled until a number 9 or higher
appears.
What is the probability that the first such number is on
the 3rd roll?

Answers

Answer:

4/27 ezzzzzzzzzzzzzzzzzzzz

A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t2+88t+6. How long will it take the rocket to reach its maximum​ height? What is the maximum​ height?

The rocket reaches its maximum height at ? ​second(s) after launch.
(simplify your answer.)

Answers

a) The time taken by the rocket to reach the maximum height is 2.75 seconds.

b) The maximum height of the rocket will be 127 feet.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

A toy rocket is shot vertically into the air from a launching pad 6 feet above the ground with an initial velocity of 88 feet per second. The height​ h, in​ feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=−16t²+88t+6.

a) The time taken by the rocket will be calculated as:-

We have a function h(t)=−16t²+88t+6. Now by taking the derivative of the function with respect to time and equating it to zero we will get the maximum time in which the rocket will reach the maximum height.

h(t)  =  -16t² + 88t + 6

h'(t)    =     0

-32t   +   88   =  0

32t      =      88

t     =    88 / 32    =  2.75 seconds

So the maximum time is 2.75 seconds.

b) Maximum height will be calculated as:-

Put the value of maximum time in the function h(t)  =  -16t² + 88t + 6 we will get the maximum height.

h(t)  =  -16t² + 88t + 6

h(2.75) = -16(2.75)² + ( 88 x 2.75 ) + 6

h(2.75) = 127 feet

Therefore the time taken by the rocket to reach the maximum height is 2.75 seconds and the maximum height of the rocket will be 127 feet.

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write the equation representing the number of children in your family

Answers

Answer:

0+4

Step-by-step explanation:

All of the following are irrational except _____.

Answers

The number that is not irrational is [tex]1.\overline{45}[/tex]. The correct option is the second option [tex]1.\overline{45}[/tex]

Irrational numbers

From the question, we are to determine which of the given options is not irrational

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q, where p and q are integers.

[tex]1.\overline{45}[/tex]  is a repeating decimal and it can be expressed as a fraction

[tex]1.\overline{45} = \frac{144}{99}[/tex]

∴ [tex]1.\overline{45}[/tex] is not an irrational number. It is a rational number

The other options cannot the expressed as a fraction.

Hence, the number that is not irrational is [tex]1.\overline{45}[/tex]. The correct option is the second option [tex]1.\overline{45}[/tex]

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URGENT HELP A contest allows anyone to enter as many times as they would like and at the end of the contest, a winner is randomly chosen from all the entries. Suppose 450 people enter the contest. If Sabine entered 3 times and Joe entered 5 times, then what is the probability Joe or Sabine will win the contest?

Answers

Answer:

4/225

Step-by-step explanation:

Formula :

Probability (Event) = No. of times event has occurred / Total possibilities

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

Solving :

⇒ P (Joe or Sabine) = No. of times Joe or Sabine has entered / Total number of people

⇒ P (Joe or Sabine) = 3 + 5 / 450

⇒ P (Joe or Sabine) = 8/450

⇒ P (Joe or Sabine) = 4/225

Solve Multi-Step Equations, Part 2 - Instruction
ceady
Solve the equation - 10(g - 6) = 65.
») What is the value of g?
g=
?

Answers

Answer:

g = -0.5

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Answer:

g = -0.5 or -1/2

Step-by-step explanation:

-10(g – 6) = 65 : apply distributive property

(-10 • g) + (-10 • -6) = 65 : multiply

-10g + 60 = 65 : apply property of equal subtraction

-10g + 60 – 60 = 65 – 60 : subtract

-10g = 5 : apply property of equal division

-10g ÷ -10 = 5 ÷ -10 : divide

g = -0.5

nate spent 3/8 of his money on clothes .he spent £510 on clothes.calculate how much money he had left over?​

Answers

Answer:

  £850

Step-by-step explanation:

We can compute the left-over amount by comparing that to the amount spent.

__

setup

Written as ratios, we have ...

  spent : left-over = 3/8 : 1 -3/8 = 3/8 : 5/8 = 3 : 5

Writing this using fractions, we have ...

  left-over / spent = 5 / 3

solution

Solving for left-over gives ...

  left-over = spent × (5/3) = £510×5/3 = £850

Nate had £850 left over.

_____

Additional comment

Nate's money totaled £510 +850 = £1360.

The fraction spent is £510/£1360 = 3/8, as required.

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