Select the correct answer.
What is the solution for x in the equation?
-x + 3/7 = 2x - 25/7

Answers

Answer 1

Answer:

= 4/ 3

Step-by-step explanation:

-x+3/7=2x-25/7

We move all terms to the left:

-x+3/7-(2x-25/7)=0

We add all the numbers together, and all the variables

-x-(+2x-25/7)+3/7=0

We add all the numbers together, and all the variables

-1x-(+2x-25/7)+3/7=0

We get rid of parentheses

-1x-2x+25/7+3/7=0

We multiply all the terms by the denominator

-1x*7-2x*7+25+3=0

We add all the numbers together, and all the variables

-1x*7-2x*7+28=0

Wy multiply elements

-7x-14x+28=0

We add all the numbers together, and all the variables

-21x+28=0

We move all terms containing x to the left, all other terms to the right

-21x=-28

x=-28/-21

x=1+1/3

Answer 2

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

- x + [tex]\frac{3}{7}[/tex] = 2x - [tex]\frac{25}{7}[/tex] ( multiply through by 7 to clear the fractions )

- 7x + 3 = 14x - 25 ( subtract 14x from both sides )

- 21x + 3 = - 25 ( subtract 3 from both sides )

- 21x = - 28 ( divide both sides by - 21 )

x = [tex]\frac{-28}{-21}[/tex] = [tex]\frac{4}{3}[/tex]


Related Questions

What are the solutions of the equation −2x−6=−2^x−6 ?

Select each correct answer.


x=−1

x = 0

x = 1

x = 2

x = 3

Answers

9514 1404 393

Answer:

  x = 1, x = 2

Step-by-step explanation:

A graphing calculator shows the graphs cross at x=1 and x=2.

__

There is no algebraic method of solving an equation like this. Trial and error is another method that works.

Jeremiah buys 3 lbs of cheese at $3.50
a pound. He also buys 5 lbs of sliced
turkey. If he spends $46.75 in total for
the cheese and turkey, what is the
price per pound of sliced turkey?

Answers

Answer: $7.25 per pound

Step-by-step explanation:

3x3.5 + 5x = 46.75

5x+10.5 = 46.75

5x = 36.25

x = 7.25

Answer:

the price per pound for the turkey would be 7.25

Step-by-step explanation:

first you would do 3x3.50 to find the total cost for the cheese

now you subtract that from 46.75

once you have that answer you divide by 5 :)

Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?

Answers

Answer:

11/20

Step-by-step explanation:

Apply the distributive property to factor out the greatest common factor.
6+30=6+30=6, plus, 30, equals

Answers

Answer:

so 6+30=36

we can use the distributive property

36-6=30

36-30=6

Hope This Helps!!!

which phase best describes the translation from tge graph y=2(x-15)^2 to the graph of y=2(x-11)^2+3?​

Answers

Answer:

Graph translates 4 units to the left then 3 units up.

Step-by-step explanation:

The constant in the bracket changes for - 15 to -11 . A change of + 4.

This shifts  the whole graph horizontally 4 units to the left.

The + 3 moves the whole graph 3 units upwards.

Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

Answers

Answer:

$5,843.9

Step-by-step explanation:

2016

Total health care cost in US = $1.7 trillion

= $1,700,000,000,000

Population in US = 290.9 million.

= 290,900,000

Average amount spent per person on health care = Total health care cost in US / Population in US

= 1,700,000,000,000 / 290,900,000

= $5843.9326228944

Approximately,

$5,843.9

To the nearest whole number

= $5,844

If you vertically compress the absolute value parent function, Fx) = \X, by
multiplying by, what is the equation of the new function?

Answers

Answer:

I don't know this answer snsjsnsjskanwnkanwnksnesjisjwjww

A tourist bought a Nepali cap with 20% discount and 13% value added tax when returning to his country the VAT amount Rs. 83.20 returned back to home at the airport. What was the marked price of the cap? Find it

Answers

Answer:

Marked price = Rs 800

Step-by-step explanation:

Let the marked price of the cap be Rs.“x”.

Discount = 20%

VAT = 13%

VAT amount = Rs. 83.20

We know,

      Discount = Marked price – Selling Price

        ⇒ Selling price = Marked price – discount

The price after giving a discount or Selling price:

                                                                          [tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]

VAT amount = VAT% of Selling Price

       [tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]

Thus, the marked price of the cap is Rs. 800.

Solve the right triangle. Round decimal answers to the nearest tenth.

Answers

Answer:

c=√a²+b²

Step-by-step explanation:

You can use this equation to solve it.

What is the value of the expression?
8 1/2-2+4 3/4

Answers

11 1/4 or 11.25 is the answer

Two Points P and Q, 25 meters apart, are on the same Straight line, the same side and the same ground Level as the foot of the tower. If the angle depression of P and Q from the top of the tower are 33 and 40° respectively, find to the nearest metre, the; 1.distance from Q to the foot of tower. 2.height of the tower.​

Answers

Answer:

b

Step-by-step explanation:

Which inequality is equivalent to the given inequality?
-4(x+7) < 3(x - 2)

Answers

d is the answer correct me if i’m wrong:)

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).
Which statement correctly identifies a local minimum of the graphed function?

Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cuz i did the test

Which of the following is a property of all rhombi? O A. They have 4 right angles. B. The diagonals are congruent. O C. All 4 sides are congruent. D. They contain 4 right angles.​

Answers

Step-by-step explanation:

the diagonals are congruent

B. The diagonals are congruent

PLEASE HELP Given the function [tex]f(x)=\sqrt{3x+3+2}[/tex]

Answers

Answer:

98.97

Step-by-step explanation:

I used my notes on page 34

how much should your mom set aside and invest in a fund earning 3% compounded quarterly is she needs 85,000.00 in 20 months

Answers

Answer:

PV= $73,201.14

Step-by-step explanation:

Giving the following information:

Future value (FV)= $85,000

Number of periods (n)= 20 months

Interest rate (i)= 0.03/4= 0.0075

To calculate the lump-sum required to reach the objective, we need to use the following formula:

PV= FV / (1 + i)^n

PV= 85,000 / (1.0075^20)

PV= $73,201.14

what is the answer to 2x + 9(x – 1) = 8(2x + 2) – 5

Answers

Answer:

-4 =x

Step-by-step explanation:

2x + 9(x – 1) = 8(2x + 2) – 5

Distribute

2x +9x -9 = 16x+16 -5

Combine like terms

11x-9 = 16x +11

Subtract 11x from each side

11x-9-11x = 16x-11x+11

-9 = 5x+11

Subtract 11 from each side

-9-11 = 5x+11-11

-20 = 5x

Divide by 5

-20/5 = 5x/5

-4 =x

1. A merchant sets the selling price of an article 40% above what it cost him. Then, seeing it did not sell, he decided to reduce the figure by 15%. The final selling price was $8.65. What did the article originally cost?​

Answers

Answer:  7.27 dollars

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

Work Shown:

x = original cost (in dollars)

1.40x = increasing the cost by 40%

0.85*1.40x = decreasing the previous cost (1.40x) by 15%

Notice how a decrease of 15% means you pay the remaining 85% of the price, which is where the 0.85 comes from.

The expression 0.85*1.40x simplifies to 1.19x after multiplying the 0.85 and 1.40

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

The expression 1.19x is the final cost after the increase of 40% and the decrease of 15%

Set this equal to 8.65 and solve for x

1.19x = 8.65

x = 8.65/1.19

x = 7.2689075630252  which is approximate

x = 7.27 dollars

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

Let's check the answer

x = 7.27

1.40x = 1.40*7.27 = 10.178 = 10.18

After an increase of 40%, the cost is now $10.18

Now decrease it by 15%

discount = 15% of 10.18 = 0.15*10.18 = 1.527 = 1.53

The customer saves $1.53 and the final price is 10.18-1.53 = 8.65

So everything works out as we expect. The answer is confirmed.

Kevin needs 2/3 cups of sugar to make his favourite brownie recipe. How many cups of sugar does he need to make six batches of brownies for a bake sale? 

NO LINKS ALLOWED OR YOU’LL BE REPORTED!

Answers

I think the answer is 4

PLEASE HELP !! two angles in a triangle have measurements of 20 degrees and 50 degrees. what is the measure of the third angle? the options are 70 degrees, 30 degrees, 110 degrees, and 120 degrees

Answers

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The sum of angles in a triangle is 180°. The measure of the third angle is ...

  180° -20° -50° = 110° . . . third angle

Answer:

The measurement of third angles of triangle is 110°.

Step-by-step explanation:

Given :-

Two angles in a triangle have measurements of 20° and 50 °.

To Find :-

Measurement of third angles of triangle

Solution :-

We know that the sum of all angles of triangle is 180°.

Measurement of third angles = x

20° + 50° + x = 180°

combine like terms

70° + x = 180°

subtract both side from 70°.

70° - 70° + x = 180° - 70°

x = 110 °

Hence, measurement of third angie of triangle is 110°.

An empty container has a capacity of 60000 liters to 1 s.f. Tony pours in 5400 liters of water to 2 s.f. He says he filled more than 10 % of container is he correct ? Show working

Answers

Answer:

Tony poured is 9% of the total

Step-by-step explanation:

Given data

The capacity of the container= 60000 liters

Amount of water that tony pours=  5400 liters

Let us compute the percentage to know if it is up to 10%

= 5400/60000*100

=0.09*100

=9%

Hence the amount of water Tony poured is 9% of the total

Answer:

He is wrong

Step-by-step explanation:

60 000 LB=55000

60 000 UB=65000

5400 LB= 5350

5400 UB=5450

65000x0.10=6500

55000x0.10=5500

he is wrong

Simplify
5^3/5^7
Leaving your answer in index form

Answers

Answer:

5^-4

Step-by-step explanation:

5^3/5^7=5^(3-7)=5^-4

NEED HELP FAST ILL MAKE BRAINLIEST

Jenna's English teacher tells her that there are 5 vowels in the alphabet. Based on this information, Jenna states that given any word in the English language, the probability of randomly choosing a vowel from among the word's letters is 5/26.

Explain the flaw in Jenna's reasoning.

Provide a word where the probability of randomly choosing a vowel from the word's letters is 1/2.

Answers

Answer:

Number of alphabets in English = 26 Number of vowels = 5 (a, e, i, o ,u) So, the probability of choosing a vowel = 5/ 26.

What is a dept of 24 dollars?

Answers

ANSWER IS -24
Hope it helps mate

. has endpoints B(5, 9) and C(–4, –3). Find the coordinates of the midpoint of . (0.5, 1.5) (1, 3) (0.5, 3) (1, 6)

Answers

Answer:

(0.5,3)

Step-by-step explanation:

Hi there!

We are given a line that has the endpoints of (5,9) and (-4,-3); we need to find the midpoint of the line.

The midpoint formula is given as ([tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex]), where [tex]x_{1}[/tex], [tex]x_{2}[/tex], [tex]y_{1}[/tex], and [tex]y_{2}[/tex] are values of coordinate points

to avoid any confusion, we can label the values of the coordinates and then substitute them into the formula to find the midpoint

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=9

[tex]x_{2}[/tex]=-4

[tex]y_{2}[/tex]=-3

now substitute into the formula

so to find the value x in the midpoint, we'll use this part of the formula: [tex]\frac{x_{1}+x_{2} }{2}[/tex]

substitute 5 and -4 into the formula

[tex]\frac{5+-4}{2}[/tex]

do the addition on the numerator

[tex]\frac{1}{2}[/tex] or 0.5

now let's find the value of y in the midpoint. we'll use this part of the formula: [tex]\frac{y_{1}+y_{2}}{2}[/tex]

substitute 9 and -3 into the formula

[tex]\frac{9+-3}{2}[/tex]

do the addition on the numerator

[tex]\frac{6}{2}[/tex] or 3

Therefore the midpoint is (0.5,3)

Hope this helps! :)

Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.

Answers

Answer:

Step-by-step explanation:

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .

Answer:

The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.

5. There is a circular field of area of approximately
500 m2. How can you find its area accurately by
using a measuring tape?​

Answers

Step-by-step explanation:

It is known that area of a circular is calculated as follows.

[tex]Area = \pi \times r^{2}[/tex]

So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to  calculate the radius it is required to divide the diameter by 2.

Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.

how did you find x? pls answer

Answers

Answer:

x = 8 degree

Step-by-step explanation:

8x - 4 = 60 degree (being alternate interior angle)

8x = 60 + 4

8x = 64

x = 64/8

x = 8 degree

Answer:

[tex] both \: are \: alternate \: interior \: angle \\ \\ = > both \: are \: equal \: \: \: \: \: \: \: \: \: \: \: \\ \\ = > (8x - 4) = 60 \: \: \: \: \: \: \\ \\ = > 8x \: = \: 60 + 4 \\ \\ = > 8x = 64 \\ \\ = > x = 64 \div 8 \\ \\ = > x = 8 \: \\ \\ hope \: it \: is \: helpful \: to \: you[/tex]

an object is kept at a distance of 15 cm from each of the above lens calculate the image distance and magnification o
f first image​

Answers

Answer:

answer is

Step-by-step explanation:

Object distance (u) = -100cm  Focal length (f) = 50cm Image distance = v  By lens formula; 1v−1u=1f1v−1u=1f ⇒ 1v−1−100=1501v−1−100=150 ⇒1v=150−11001v=150−1100 ⇒1v=2−1100−11001v=2−1100−1100 v =100cm  Hence the image is formed at 100 cm behind the lens.  Object distance (u) = -100cm  Focal length (f) = -25cm  Image distance = v  By lens formula;Read more on Sarthaks.com - https://www.sarthaks.com/951256/an-object-is-kept-at-a-distance-of-100-cm-from-each-of-the-above-lenses-calculate-the?show=951265#a951265

Find the area of the given quadrilateral.
Pls :)

Answers

I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.

However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.

In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.

There is no typo - the quadrilateral is a kite.
XZ is the line of symmetry

The area = 2 x (1/2 x 6 x 8)
= 48 cm^2
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