Which Which value of x makes this equation true? -3x+10=5x-8

value of x makes this equation true? -3x+10=5x-8

Answers

Answer 1

Answer:

9/4

Step-by-step explanation:

-3x+10=5x-8

or, -3x-5x = -8-10

or, -8x=-18

or, 8x=18 (i.e. - is cancelled)

or, x=18/8

i.e. x=9/4

Hence, the value of x is 9/4

Answer 2

Answer:

The value of x is 9/4

Step-by-step explanation:

-3x+ 10 = 5x - 8

Add 3x both side

-3x + 3x + 10 = 5x + 3x - 8

10 = 8x - 8

Now, Add 8 both side

10 + 8 = 8x - 8 + 8

18 = 8x

8x = 18

Now, Divide by 8 from both side

8x/8 = 18/8

x = 9/4

Thus, The value of x is 9/4

FOR VERIFICATION ONLY:

-3x + 10 = 5x - 8

-3(9/4) + 10 = 5(9/4) - 8

-27/4 + 10 = 45/4 - 8

-27 + 4 × 10/4 = 45 - 8 × 4/4

-27 + 40/4 = 45 - 32/4

13/4 = 13/4

Hence, L.HS = R.H.S

-TheUnknownScientist


Related Questions

Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0

Answers

The screenshot is the correct answers

The table modeling the inverse of function f is,

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                   -1

-2                     0

 -1                     1

  0                    2

What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?

"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"

For given question,

We have been given a table modeling function f.

 x             f(x)

-2            -28

-1              -9

 0              -2  

 1               -1

 2              0

We need to complete the table modeling the inverse of function f.

We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]

For given function f(x), we find inverse of f(x)

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                    -1

-2                    0

 -1                     1

  0                   2

Learn more about the inverse of function here:

https://brainly.com/question/20663378

#SPJ2

I have no idea pls help

Answers

Answer:

Area= 90

Step-by-step explanation:

triangle area: (b x h) / 2

(12 x 15) / 2

(180) / 2

a= 90

Help Please?! ?????????????

Answers

Answer:

Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.

Step-by-step explanation:

To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.

The window has the shape of a kite. How many square meters of glass were used to make the window?

Answers

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

Solve the system of equations.
2y+7x=−5
5y−7x=12

Answers

We can solve this by substitution method.

Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.

[tex]5y-7x=12[/tex]

[tex]5y-7x-12=0[/tex]

[tex]5y-12=7x[/tex]

Therefore, [tex]7x=5y-12[/tex]

Now replace the 7x in the first equation with 5y - 12:

[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)

[tex]2y+(5y-12)=-5[/tex]

[tex]7y-12=-5[/tex]

[tex]7y=7[/tex]

[tex]y=1[/tex]

Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12

[tex]7x=5y-12[/tex] (substitute in y = 1)

[tex]7x=5(1) -12[/tex]

[tex]5x=5-12[/tex]

[tex]7x=-7[/tex]

[tex]x=-1[/tex]

__________________________________________________________

Answer:

[tex]y=1\\x=-1[/tex]

Trey invested $15,000 into a savings account for five years at 7% interest. How much is in the account if the interest is compounded monthly?​

Answers

Multipuly po ba (15;000 7%)

Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles

Answers

Answer:

the probability that they are assigned adjacent cubicles is  1 ÷ 4

Step-by-step explanation:

Given that

There is 8 new graduates are hired

2 of the graduates are bill and cathy

And, each one is assigned on random basis

We need to find out the probability

So,

= (2) (7!) ÷ (8!)

= (2) ÷ (8)

= 1 ÷ 4

Hence, the probability that they are assigned adjacent cubicles is  1 ÷ 4

The same would be relevant

which of the following represents the equality for the sum of 11 and Y is greater than -33​

Answers

Answer:

11+y > -33

Step-by-step explanation:

Answer:

You wrote

"Which of the following" Meaning there's should be options present.

But Going with the statement...

The sum of 11 and y is greater than -33

I'd say

11 + y > -33.

3. Find mZS.
Q= 5x + 2)
P= 10x - 3)
(7x - 11)=ºR
(13x - 31)º=S
(8x - 19)=T

Answers

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

What is a shape?

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

To learn more about shape, click:

brainly.com/question/28978432

#SPJ2

PLS HELP!! need the answer asap

Answers

Answer:

8

Step-by-step explanation:

[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]

[tex]3x + 12 + 7x + 88 = 180[/tex]

[tex]10x + 100 = 180[/tex]

[tex]10x = 80[/tex]

[tex]x = 8[/tex]

please help

thank you​

Answers

Answer:

Step-by-step explanation:

-4<n≤5

There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?

Answers

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.

Region Number of counties
North Central 1052
North East 210
South 1376
West 418

Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.

Answers

Solution :

From the table,

Number of countries = [tex]$N_i$[/tex]

Mean = [tex]$\overline Y_i$[/tex]

Standard deviation = [tex]$\sigma_i$[/tex]

Margin of error of B = 50,000 acres

So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].

Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex]  is given by :

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

Let us complete the numerator

[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]

                [tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]

                = 453329920

The bound on the error of estimation is B = 50,000 acres

Hence we get

[tex]$D=\frac{B^2}{H}$[/tex]

  [tex]$=\frac{50000^2}{4}$[/tex]

  = 625,000,000

[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]

  [tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]

 = 220.24044

≈ 221 (approximately)

Therefore, the sample size under the proportional allocation from each stratum are given by :

[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1052}{3056}\right]$[/tex]

   ≈ 76

[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{210}{3056}\right]$[/tex]

   ≈ 15

[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{1376}{3056}\right]$[/tex]

   ≈ 100

[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]

   [tex]$=221\left[\frac{418}{3056}\right]$[/tex]

   ≈ 30

Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.

We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.

Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2

Answers

x=2=|17/2

| means square root btw

and i put / to make it a fraction

1 hundredth + 3 tenths =?hundredths


Answers

Answer:

.01 + .3 = 0.31

Step-by-step explanation:

Can someone help me please???

Simplify.

(x^5)^4

Answers

Answer:

x^20 please mark me brainliest

Step-by-step explanation:

suzanne babysits to earn extra money. she charges $15 for each hour that she babysits. What represents the independent variable in this situation?

A. The total amount charged for babysitting
B. The rate she us paid per hour
C. The number of hours she babysits
D. The number of children she babysits

Answers

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

2,144.66 miles³

Step-by-step explanation:

v = (4/3)πr³

v = (4/3)π(8³)

v = 2,144.6605848506

Rounded

2,144.66 miles³

I got 17157.28 ,,,,,

ind g(x), where g(x) is the translation 5 units right of f(x) = x.

Write your answer in the form mx + b, where m and b are integers.


A. g(x)= x + 5
B. g(x)= x - 5
C. g(x)= x(5)
D. none of the above

Answers

Answer is D
A is translating up
B is translating down
C is multiplying so no

Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters

Answers

Answer:8.5 Step by step: 15.8x9.2x8.5=1235.56

Donna is participating in a 6-day cross-country biking challenge. She biked for 51, 62, 61, 47, and 63 miles on the first five days. How many miles does she need to bike on the last day so that her average (mean) is 56 miles per day?

Answers

Answer:

52 miles

Step-by-step explanation:

total miles needed to average 56

56 * 6 = 336

miles after 5 days

51 + 62 + 61 + 47 + 63 = 284

miles needed on last day

336 - 284 = 52 miles

Please help!!! I am stressed so much!!

Answers

Answer:

You have to simplify the fraction and turn it into a decimal.

Step-by-step explanation:

Meaning: Make the fraction smaller and turn it into the correct decimal.

EXAMPLE:

2/4 simplified is 1/2

1/2 is equal to 0.50

A.
368/15 = 24 8/15
964/15 = 64 4/15
349/15 = 23 4/15

PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram

Answers

this is the answer on edmentum

The matching will be given below.

12/25 = sin D × cos D3/5    = sin D16/15 = cos C × tan D4/5    = sin C

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The value of sin C will be

sin C = 3 / 5

The value of sin D will be

sin D = 4 / 5

The value of cos C will be

cos C = 4 / 5

The value of cos D will be

cos D = 3 / 5

The value of tan C will be

tan C = 3 / 4

The value of tan D will be

tan D = 4 / 3

The product of sin D and cos D will be

sin D × cos D = (4 / 5) × (3 / 5)

sin D × cos D = 12 / 25

The product of tan C and tan D will be

tan C × tan D = (3 / 4) × (4 / 3)

tan C × tan D = 1

The product of cos C and tan D will be

cos C × tan D = (4 / 5) × (4 / 3)

cos C × tan D = 16 / 15

Then the matching will be given below.

12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin C

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ5

How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?

Answers

Answer: 51

Step-by-step explanation:

2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.

4 pentagons have 20 sides because a pentagon has 5 sides. So,        4x5=20.

5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.

In all, 16+20+15= 51

An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?

Answers

Answer:

7 socks were sold

Step-by-step explanation:

7*8=56

11-7=4

4×11=44

56+44=100

This proves the answer of 7 to be correct

if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab

pls solve and give the explanation​

Answers

Answer:

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

Step-by-step explanation:

if:

a + b + c = 0

then we can rewrite:

c = -a - b

Now we can replace this in our expression:

[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]

Now we can rewrite:

(-a - b)^2 = a^2 + 2*a*b + b^2

Then we can rewrite our expression as:

[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]

Let's keep simplifying this:

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]

Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).

[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]

Then the expression is equal to -2

[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]

The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7

If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater

Answers

Answer: C: on the science test because the y-intercept is greater

Step-by-step explanation: I got the question right on edge.

Answer:

C

Step-by-step explanation:

The diameter is 24 cm. Find the
length of arc CD

Answers

Answer:

s = 4π    Exact answer

s = 12.56   Decimal approximation

Step-by-step explanation:

cicrumference  = πd

s = (∅/360)(πd)

s = (60/360)(π * 24)

s = 4π    Exact answer

s = 4 * 3.14

s = 12.56   Decimal approximation

Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin

Answers

i dont know this questions

the product of nine, y and x not simplified.​

Answers

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

Other Questions
Historical events and persons mentioned or alluded to in a story can help the reader better understand the-author's life-genre of the story-accuracy of the story-characters, setting, and plot of the story 14. Tides are cyclic with two flood tides and two ebb tides in approximately 24 hours.1 pointa. cyclic is used correctlyb. cyclic is used incorrectly Find the quotient for 5,6008 The point (-8,0) reflected in the x-axis is tom is baking cookies. he needs 3 eggs to make 15 cookies. if tom makes 45 cookies, how many eggs will he need? How Many branches of government did we have under the Articles of Confederation? If using the method of completing the square to solve the quadratic equation x2+14x-14=0, which number would have to be added to "complete the square"? A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tallman is walking towards the wall at the rate of 30 feet per second. How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages? A. 21.5 B. 20.5 C. 22.5 D. 24.5 Which of the following statistics measures the variability of a distribution? A) MeanB) MedianC) ModeD) Range 2+2=?i dont remember this, its too complex for me someone help asap edhesive assignment 2: room area? In the reaction below does water acts as the acid or as the base?H2S + H20 - HS1- + H30+ *O a. Neither, water is neutralO b. AcidO C. Base if 3/5 of a number is 2 more than 2/3 of the same number, then what is the value if the square of the number PLEASE HELP (NO GOO GLE PLEASE) 20 POINTSHow does the global Proletariat achieve communism? Which of the following is NOT a possible UNIT for the phrase "King Henry Died Unexpectedly Drinking Chocolate Milk? please help me with this Why is the spider lady more interesting to the people than the angel? She spins a web. She openly shares her story. She can predict the future. She is a miracle healer 50 POINTSSolve by linear combination 2x-4y=4x-4y=10Write your answer as an ordered pair with no spaces (x,y) Using Why or How, create a question for this topic -From Sectional Crisis to National CrisisI give Brainliest! Please no links((Easy points))