Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x 2) true?

Answers

Answer 1

Answer:

[tex]x = -56[/tex]

Step-by-step explanation:

Given

[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]

Required

Find x

[tex]0.75(x + 20) = 2 + 0.5(x - 2)[/tex]

Open brackets

[tex]0.75x + 15 = 2 + 0.5x - 1[/tex]

Collect Like Terms

[tex]0.75x - 0.5x = 2 - 1 - 15[/tex]

[tex]0.25x = -14[/tex]

Solve for x

[tex]x = -\frac{14}{0.25}[/tex]

[tex]x = -56[/tex]


Related Questions

in the figure angle D measures 31 and angle a measures 27



The measurement of angle B is
The measurement of angle F is​

Answers

Answer:

Angle b is 63

Angle f is 59

Step-by-step explanation:

What is the value of x?
x= -8
2x + 5 – įx = 3
O x =
0.x = -2
0 x = 1/2
x = 8

Answers

Dude doesn’t x basically equal 8 X=8 ? Or am I just wrong

If 2 angles are vertical and one angle is 44 degrees,find the other angle?

Answers

Answer:

Step-by-step explanation:

Then the other angle must be 44 degrees as well.

The length of a room is 2 metre longer than its breadth if the area of the room is 63 square metre find the length and the breadth of the room​

Answers

Answer:

7 metre

Step-by-step explanation:

Let the breadth of the room is x.m. , then the length is (x+2).m. , accordingly:-

(x+2).x. = 63.

or, x^2 +2 x - 63 = 0.

or, (x + 9).(x -7) =0.

or, x = - 9 (not valid) , 7 .

Thus , the length = (x+2).m.= (7+2) = 9.m. , breadth = x .m. = 7.m. , Answer.

hope it helps! please mark me brainliest..

Merry Christmas good day

Solve for x and then part b) find JL. Have no clue how to go about this

Answers

9514 1404 393

Answer:

x = 4JL = 16

Step-by-step explanation:

a) You go about this by using the given equation.

  Left + Right = Total

  JK + KL = JL

  (2x -3) + 11 = 4x

  8 = 2x . . . . . simplify, subtract 2x

  4 = x . . . . . . divide by 2

__

b) JL = 4x = 4·4

  JL = 16

which sentence contains a metapohor?

Answers

Answer:

The last one

Step-by-step explanation:

its comparing 2 things without using like or as

Answer:

The park road would be a black ribbon rippling through the majestic landscape

I'm pretty sure :)

Step-by-step explanation:

How many work cycles should be timed to estimate the average cycle time to within 5 percent of the sample mean with a confidence of 99.0 percent if a pilot study yielded these times (minutes): 4.0, 4.5, 5.0, 4.5, 4.5, and 4.0

Answers

Answer:

Following are thew solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\text{Margin of error} = \frac{(z \times \sigma) }{\sqrt{n}}[/tex]

n = the number of work cycles for 95 confidence interval

z-score = 1.96

So, [tex]\frac{(z \times \sigma)}{\sqrt{n}}[/tex] = [tex]\ Mean \times 0.02[/tex]  

[tex]\frac{(1.96 \times 0.376)}{\sqrt{n}} = 4.416666667 \times 0.02 \\\\\\[AVERAGE(4,4.5,5,4.5,4.5,4) = 4.416666667][/tex]

[tex]\sqrt{n} = \frac{(1.96 \times 0.376)}{(4.416666667 \times 0.02)} \\\\[/tex]

     [tex]= 8.342943396\\\\[/tex]

[tex]n = 69.6047045[/tex]

   [tex]= 70[/tex]

Using the sample size formula, the number of samples required is 919.

Standard deviation, σ = 0.376

From the data given :

Mean = (4 + 4.5 + 5 + 4.5 + 4.5 + 4) / 6 = 4.417Standard deviation = 0.376

Using the sample size relation thus:

[tex] n = (\frac{T_{critical}σ}{E})^{2}[/tex]

E = Margin of Error = 5% = 0.05Tcritical at 99%, df = 5 = 4.032 (T distribution table)

Substituting the values into the equation :

[tex] n = (\frac{4.032 \times 0.376 }{0.05})^{2}[/tex]

[tex] n = (\frac{1.516032}{0.05})^{2} = 919.34[/tex]

Hence, the sample size required is 919.

Learn more : https://brainly.com/question/25609130

kristen and brett found three different deals on the same smart tv they want to figure out which deal is better before tax

1.Original Price: $320
Discount: 15% off

2.Original Price: $349.99
Discount: 75% off

3. Original Price: $360
New Price: $280

Answers

Answer:

Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Step-by-step explanation:

To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:

1)

320 - (320 x 15/100) = X

320 - 48 = X

272 = X

2)

349.49 - (349.49 x 75/100) = X

349.49 - 262.11 = X

87.37 = X

3)

280 = X

 

Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.

Which graph represents the function y = 2/3x-2

Answers

Answer:

C

Step-by-step explanation:

so the y-int is where the point is on the y-axis (0,X). Or, in this situation-2.

for slope, you just need to do rise over run, or up and down first then, left and right. If I do that for C, I go 2 up and 3 right. So the slope os 2/3 (P.S. up and right is positive, and down and left is negative)

The equation -7(u+3)=49 is solved in several steps below.
For each step, choose the reason that best justifies it

Answers

Answer:

u = -25/7

Step-by-step explanation:

-7(u + 3) = 4

-7u -21 = 4 (distribute the -7)

-7u = 25 (add 21 to get -7u by itself)

u = -25/7 (divide by -7 by both sides to find the value of u)

6 minutes to 16 minutes

Answers

Answer:

um im not sure if you need to simplify but then the answer would be 3 minutes to 8 minutes.

PLzzz help meeeeeeeeeeeeeeeeeeeeee


In rhombus MATH, the coordinates of the endpoints of the diagonal MT are M(0, 2) and T(4, 6). Write an equation of the line that contains diagonal AH. Give your answer in slope-intercept form.

Answers

Answer:

y = - x + 6

Step-by-step explanation:

-- Rhombus diagonals are perpendicular and bisect each other.

-- A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of the midpoint of a segment AB are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

and formula of a slope of the line segment AB is

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

-- If AB ⊥ CD then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

-- Slope-point of linear equation is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

M(0, 2)

T(4, 6)

[tex]m_{MT}[/tex] = [tex]\frac{6-2}{4-0}[/tex] = 1

[tex]m_{AH}[/tex] = - 1

Coordinates of the intersection of the diagonals are ( [tex]\frac{4+0}{2}[/tex] , [tex]\frac{6+2}{2}[/tex] ) = (2, 4)

y - 4 = - 1(x - 2)

y = - x + 6 is slope-intercept form of the diagonal AH

1.298 -
Prime number

Answers

Answer:

what are you asking rlly

In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs? Select all that apply. (2, 4), (6, 3), (5, 4), (7, 3), (8, 2)

Answers

Answer:

I dont see the statements but this is a parabola. As you can see some of the ys repeat.

Step-by-step explanation:

sum of
5 3/7 - 2 1/5

Answers

Answer:

Step-by-step explanation:

5 3/7= 38/7 (move the wholes into the fraction)

2 1/5=11/5

38/7- 11/5  we need the common denominator=35

190/35 -77/35= 113/35

=3 8/35

-3224 base 5 -3434 base 5

Answers

I guess you're asking to compute the difference,

-3224₅ - 3434₅

Ignore the minus signs for now, and consider the sum

3224₅ + 3434₅

In the 5⁰ place (the rightmost digit) we have

4₅ + 4₅ = 8 = 13₅

Carry the 1 to the next place. In the 5¹ place,

2₅ + 3₅ + 1₅ = 6 = 11₅

Carry the 1. In the 5² place,

2₅ + 4₅ + 1₅ = 7 = 12₅

Carry the 1. In the 5³ place,

3₅ + 3₅ + 1₅ = 7 = 12₅

So,

3224₅ + 3434₅ = 12213₅

and hence

-3224₅ - 3434₅ = -12213₅

Diana creates a graph of money she earns y for working x hours the graph contains the points 34,408 40,489 46 588

Answers

Answer:D and E I think

Step-by-step explanation:

If you borrow $400,000 at an APR of 4% for 15 years, you will pay more per month than if you borrow the money for 30 years at 4%. However, you will pay much more in interest over the life of the loan. Answer the questions below (10 points) a. What is the monthly payment on the 15-year mortgage, to the nearest cent? (Be sure to use Excel to calculate the monthly payment.) b. What is the total interest paid on the 15-year mortgage? C. What is the monthly payment on the 30-year mortgage, to the nearest cent? d. What is the total interest paid on the 30-year mortgage? e. How much more interest in paid on the 30-year loan?​

Answers

Answer:

If if i did the match correctly then you would be paying $53.33

Step-by-step explanation:

hope this helps!!!!!!! :D

solve - 9/2y=27/2 for y.

Answers

Answer:

It’s y = 3

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

which is the correct answer?​

Answers

Step-by-step explanation:

Options B and C are wrong because 0 as a numerator is totally fine as a real solution.

In Option A,

15(x² - 1) = 10(3x - 3)

15x² - 45x + 30 = 0

x² - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 or x = 2.

This is correct as x cannot be 1 (dividing by zero).

In Option D,

(x + 2)(x - 1) = 40

x² + x - 42 = 0

(x - 6)(x + 7) = 0

x = 6 or x = -7.

In here x = 1 does not even appear in our working so it is not an extraneous solution (even though it is dividing by zero)

Hence the answer is A.

can someone help me please i don't understand the process ​

Answers

Answer:

Yes, because a triangle can have any lengths.

A triangle has many lengths hope u do good girl

What is the fourth root of -16/81?​

Answers

Answer:

The fourth root of -16/81, whose result is -0.19, is -0.66.

Step-by-step explanation:

To determine the fourth root of -16/81, you must first perform this mathematical operation, and then perform the radication of the result of it. Thus, the following process must be carried out:

-16 / 81 = X

-0.19 = X

4√0.19 = -X

0.66 = -X

-0.66 = X

Therefore, the fourth root of -16/81, whose result is -0.19, is -0.66.

Priya is sharing 24 apples equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of apples. For example, 24 ÷ 4 = 6 means that if each person gets 4 apples, then 6 people can have apples. Here are some other calculations:

Answers

Answer:

1 apple: 24 people

2 apples: 12 people

3 apples: 8 people

4 apples: 6 people

6 apples: 4 people

8 apples: 3 people

12 apples: 2 people

24 apples: 1 person

Step-by-step explanation:

The number of 6 people can have 4 apples each.

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:

Priya is sharing 24 apples equally with some friends.

She uses division to determine how many people can have a share if each person gets a particular number of apples.

For example, 24 ÷ 4 = 6 means that if each person gets 4 apples,

then 6 people can have apples,

= 24 ÷ 6

= 4

Therefore, 6 people can have 4 apples.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

I need help please I have to finish this

Answers

Answer:

Hey,

Let A be (-1,7)

Let B be (5,1)

In order to find the distance we need to do

[tex]d = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Once we plug x2=5 and x1=-1

and y2=1 and y1= 7

You get

[tex]6 \sqrt{2} [/tex]

Now to find the midpoint:

[tex]( \frac{x1 + x2}{2} \frac{y1 + y2}{2} )[/tex]

Using the same values defined above we get:

(2,4)

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21) A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. The 90% confidence interval is (-1.93, 0.13). The correct interpretation is

Answers

Answer:

We accept H₀ we don´t have evidence of differences between the two toothbrushes

Step-by-step explanation:

Toothbrushes A

Sample mean                    μₐ = 119,7

Standard deviation           sₐ = 1,74

Sample size                        nₐ = 18

Toothbrushes B

Sample mean                    μ₀ = 120,6

Standard deviation           s₀ = 1,72

Sample size                        n₀ = 15

With  CI = 90 %      CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀

Test hypothesis    is      

H₀          μₐ =   μ₀  

Hₐ           μₐ ≠   μ₀  

We need to calculate t(s)  as

t(s) = (  μₐ -  μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)

and see if it is insde CI

Sₓ  = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2

Sₓ  = 17*3,03 + 14*2,96 / 31

Sₓ  = (51,51 + 41,44 )/ 31

Sₓ = 2,998

t(s) = 0,9 / 2,998*√(1/18) + (1/15)

t(s) = 0,9 / 1,04

t(s) = 0,87

Each of the following trinomials has a leading coefficient that is prime. Using a guess-and-check technique,
write each trinomial in its factored form. Show each guess and its check.
(a) 5x² - 41x+8
(b) 3x² + 4x - 20
I
(c) 2x - 29x-15
(d) 7x? +39x + 20

Answers

Answer:

14

Step-by-step explanation:

Solve for x. -1/5(x - 4) = -2

Answers

Answer:

x=14

Step-by-step explanation:

Plot the points O(0,0) R(1,4) C(−4, −1)and K(−4, 8)to form triangles ∆ORK and ∆OCK. Decide the relationship between m∡KOC and m∡KOR. Be sure to justify with any algebra and theorems !

Answers

Answer:

i think its c

Step-by-step explanation:

the area of a rectangle is 72cm2, in which the width is twice the length. what are the dimensions

Answers

Answer:

Dimension: 2inches by 4 inches

Step-by-step explanation:

Given

[tex]Width = 2wice\ Length[/tex]

Required

Determine the dimension.

This is calculated as :

[tex]Area = Length * Width[/tex]

[tex]A = L * W[/tex]

So:

[tex]A=L * 2L[/tex]

[tex]A=2L^2[/tex]

Substitute 72 for A

[tex]72=2L^2[/tex]

Divide bith sodes by 2

[tex]36 = L^2[/tex]

Take square root of both sides

[tex]L = 6[/tex]

Recall that:

[tex]Width = 2 * Length[/tex]

Hence:

[tex]LEnhth= 0 * 2[/tex]

[tex]LEnhth= 2[/tex]

Hence, the dimension is: 2 by 3 inches

Help Please 10 pointsssssssss

Answers

Answer:

A is false

Step-by-step explanation:

A triangle can be drawn with exactly 1 acute angle. FALSE

A triangle can be drawn with exactly one right angle. TRUE

A triangle can be drawn with more than one acute angle. TRUE

A triangle can be drawn with exactly one obtuse angle. TRUE

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