the product of ten and the sum of two and a number is five times the number. find the number

Answers

Answer 1

Answer:

-4

Step-by-step explanation:

10(2+n)=5n

20+10n=5n

20=-5n

-4=n

Answer 2

The number is n = -4.

What is the product of ten and the sum of two and a number is five times the number?

Given: the product of ten and the sum of two and a number exists five times the number.

Let x be the unknown number:

The product of 5 and the sum of two and the number = 10(2+n)

five times the number = 5n

10(2+n) = 5n

Expand 10(2+n) = 20+10n

20+10n = 5n

Subtract 20 from both sides

20+10n-20 = 5n-20

Simplify

10n = 5n-20

Subtract 5n from both sides

10n-5n = 5n-20-5n

Simplify

5n = -20

Divide both sides by 5

[tex]$\frac{5 n}{5}=\frac{-20}{5}[/tex]

n = -4

Therefore, the correct answer is n = -4.

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Related Questions

Due to a sale at Macy's you only have to pay 2/3 of the original price of a blouse. your price AFTER the discount $120. What was the original price? Explain how you arrived at this answer.

Answers

9514 1404 393

Answer:

  $180

Step-by-step explanation:

The relationship between the prices is said to be ...

  (amount you pay) = 2/3 × (original price)

To find the original price, multiply the equation by the reciprocal of the coefficient of the (original price).

  (3/2)×(amount you pay) = (3/2)(2/3)(original price) = (original price)

  (3/2)×$120 = original price = $180

Given: x + 2 < -5.



Choose the solution set.

{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

C

Step-by-step explanation:

x + 2 < -5

x < - 5 - 2

x < - 7

Answer:

{x| x R, x<-7}

Step-by-step explanation:

=> x+2<-5

=> x<-5-2

=> x<-7

In chapter 9, we discussed Confidence Interval methodology to draw conclusions about the difference in the brain size of the children with and without autism. Discuss a different methodology to conclude if there is any significant difference in the average brain size of the children with and without autism.

Answers

Answer:

Two sample t test

Step-by-step explanation:

The two sample t test can be used in the scenario described above, where two independent samples are obtained, we take a certain sample of children with autism and then another sample of children without autism. The number of children chosen for each sample should be random and could be of equal or unequal sizes. The mean and standard deviation of each of sample A and B are deternined and used to perform the analysis to determine if the mean of each sample are equal or not. This test is also called the WELCH T TEST

After heating a fixed volume of gas at 50 psia from 300° R to 600°R, its pressure will be:

Answers

Answer:

100 psia

Step-by-step explanation:

Applying,

Pressure law,

P/T = P'/T'................. Equation 1

Where P = initial pressure, P' = Final pressure, T = initial temperature, P' = Final temperature.

make P' the subject of the equation

P' = PT'/T............ Equation 2

From the question,

Given: P = 50 psia, T = 300°R = (300×5/9)K = 166.66 K, T' = 600°R = (600×5/9)K = 333.33 K

Substitute these values into equation 2

P' = (50×333.33)/166.66

P' ≈ 100 psia

P ≈ 100 psia

PLEASE HELP, according to this function, which is a true statement???????

Answers

Answer:

function ar true in the mach on which

Answer:

i think three one is right answer...

Exam V Psych 2317 ​​Name: _____________________________

Attention: Read carefully each sentence and choose the best answer (2 points each)

1) While comparing a sample to a population, which design is appropriate?

A) One sample t test​ B) Related samples t-test C) Independent samples t-test D) ANOVA

2) While comparing two samples of different individuals, which research design is appropriate?

A) One sample t test​ B) Related samples t-test C) Independent samples t-test D) ANOVA

3) While comparing the same individuals two times, which research design is appropriate?

A) One sample t test​ B) Related samples t-test C) Independent samples t-test D) ANOVA

4) While comparing three samples of different individuals with an interest in one variable, which design is appropriate?

Answers

Exam V Psych 2317 ​​Name: _____________________________

Attention: Read carefully each sentence and choose the best answer (2 points each)

1) While comparing a sample to a population, which design is appropriate?

A) One sample t test​ B) Related samples t-test C) Independent samples t-test D) ANOVA

2) While comparing two samples of different individuals, which research design is appropriate?

A) One sample t test​ B) Related samples t-test C) Independent samples t-test D) ANOVA

3) While comparing the same individuals two times, which research design is appropriate?

A) One sample t test​ B) Related samples t-test C) Independent samples t-test D) ANOVA

4) While comparing three samples of different individuals with an interest in one variable, which design is appropriate?

The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-22-7
O y=-2x-3
Savait

Answers

Answer:

              y = -2x + 8

Step-by-step explanation:

The equation in slope-intercept form:  y = mx + b

y + 2 = -2(x - 5)

y + 2 = -2x + 10              {subtract 2 from both sides

y = -2x + 8

Greatest to least 2,250 2,700 2,450 2,500

Answers

Answer:

sorting;

2,7002,5002,450 2,250

greatest = 2,700

least = 2,250

HAVE A NİCE DAY

Step-by-step explanation:

GREETINGS FROM TURKEY ツ

greatest: 2,700
2,500
2,450
least: 2,250

Which value is in the domain of f(x)?
f(x) =
2x+5, |-6 < xso
- 2x + 3, 0 < x 34
N
-7
-6
5

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The function definition tells you its domain is ...

  -6 < x ≤ 4

Values -7, -6, and 5 are not in this domain.

Of the listed values, only 4 is in the domain.

Multiply the polynomial 4x(2x+3) (show work pls)

Answers

Answer:

8^2+12x

Step-by-step explanation:

4x(2x+3)

=4x times 2x+4x times 3

=4 times 2xx+4 times 3x

Answer:

8x^2 +12x

Step-by-step explanation:

Step 1) Multiply each term in the parentheses by 4x

4xx2x+4xx3

Step 2) Calcuate the product

8x^2 +12x

a car travels 10 km southeast and 15 km in a direction 60 degrees north of east. find the magnitude and direction

Answers

Answer:

the car travels 10km then 15km 60* north of east

Step-by-step explanation:

what is the formula for triangle​

Answers

Answer:

A = 1/2 b × h

Step-by-step explanation:

hope it helps !!!!

Answer:

The formula for the area of a triangle is 1/2bh.  

please help me now I need it please this is calculuse

Answers

Answer:

none of these

Step-by-step explanation:

In the figure, polygon ABCD is dilated by a factor of 2 to produce A′B′C′D′ with the origin as the center of dilation.

Point A′ is at
, and point D′ is at
.

Answers

Answer:

b

Step-by-step explanation:

Write an equation
that represents the line.

Answers

Answer:

the eq of given line is 2x+y+3=0

Pls help quick:

The following figures are not drawn to scale but
AB and CD (if present in the picture) are straight lines. Find x:

Answers

Step-by-step explanation:

2x+60°= 110°

2x= 110-60

2x= 50

x= 25°

Convert.
{} {}
minutes ==equals 888 hours 373737 minutes

Answers

9514 1404 393

Answer:

  517 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so 8×60 = 480 minutes in 8 hours.

In 8 hours 37 minutes, there are ...

  480 min + 37 min = 517 minutes

A weight clinic recorded the weight lost (in pounds) by each client of a weight control clinic during the last year, and got the following data: 35, 26, 31, 17, 46, 30, 28, 21, 26, 34, 15, 27, 7, 18, 16, 57 Assume you created the frequency grouping in intervals of 10 starting at 1. What is the percentile in the next to highest group

Answers

Answer:

Class interval ____, Frequency _ C/frequency

1 - 10 ____________ 1 _________ 1

11 - 20 ___________ 4 _________ 5

20 - 30 __________ 6 _________ 11

31 - 40 ___________3 _________ 14

41 - 50 ___________ 1 _________ 15

51 - 60 ___________ 1 _________ 16

Step-by-step explanation:

Given the data :

35, 26, 31, 17, 46, 30, 28, 21, 26, 34, 15, 27, 7, 18, 16, 57

Class interval ____, Frequency _ C/frequency

1 - 10 ____________ 1 _________ 1

11 - 20 ___________ 4 _________ 5

20 - 30 __________ 6 _________ 11

31 - 40 ___________3 _________ 14

41 - 50 ___________ 1 _________ 15

51 - 60 ___________ 1 _________ 16

The next to highest frequency group has a frequency of 4 and the highest frequency of 6

Total frequency, n = (1 + 4 + 6 + 3 + 1 + 1) = 16

Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linearly independent solutions to the corresponding homogeneous equation for t > 0.
ty'' + (2t - 1)y' - 2y = 7t2 e-2t y1 = 2t - 1, y2 = e-2t

Answers

Recall that variation of parameters is used to solve second-order ODEs of the form

y''(t) + p(t) y'(t) + q(t) y(t) = f(t)

so the first thing you need to do is divide both sides of your equation by t :

y'' + (2t - 1)/t y' - 2/t y = 7t

You're looking for a solution of the form

[tex]y=y_1u_1+y_2u_2[/tex]

where

[tex]u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt[/tex]

[tex]u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt[/tex]

and W denotes the Wronskian determinant.

Compute the Wronskian:

[tex]W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}[/tex]

Then

[tex]u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t[/tex]

[tex]u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}[/tex]

The general solution to the ODE is

[tex]y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}[/tex]

which simplifies somewhat to

[tex]\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}[/tex]

Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test

Answers

The null hypothesis is [tex]\mu = 39.09[/tex]  

The symbol [tex]\mu[/tex] is the Greek letter mu

The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

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

Summary:

The two hypotheses are

H0: [tex]\mu = 39.09[/tex]

H1: [tex]\mu \ne 39.09[/tex]

This is a two tailed test.

If you have 3/8 of one pie, what does the denominator tells you ?

Answers

Step-by-step explanation:

There was originally 8 pieces of pie.

Answer:

if you have 3/8 of one pie, the denominator tells you that the pie was divided into 8 piece.

WILL GIVE BRAINLIEST!!!
Write as a polynomial: 14b + 1 - 6(2 - 11b)

Answers

Answer:

80b-11

Step-by-step explanation:

14b + 1 - 6(2 - 11b)

Distribute

14b+1-12+66b

Combine like terms

80b-11

Answer:

80b - 11

Step-by-step explanation:

what is the problem ?

just multiply it out and combine terms.

14b + 1 - 6(2 - 11b) = 14b + 1 - 12 + 66b = 80b - 11

please help will mark brainly!!!!! need done. PERSONAL FINANCE

Answers

Answer:

Step-by-step explanation:

Can someone help asap?

Answers

Answers:

sin = -5/13tan = 5/12csc = -13/5sec = -13/12cot = 12/5

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

Explanation:

The angle theta is between pi and 3pi/2, excluding both endpoints.

This places theta in the third quadrant (Q3) between 180 degrees and 270 degrees. The third quadrant is in the southwest.

Plot point A at the origin. 12 units to the left of this point, will be point B. So B is at (-12,0). Then five units lower is point C at (-12,-5). Refer to the diagram below. Notice how triangle ABC is a right triangle.

The angle theta will be the angle BAC, or simply angle A.

Since cos(theta) = -12/13, this indicates that

AB = -12 = adjacent

AC = 13 = hypotenuse

Technically, AB is should be positive, but I'm making it negative so that we can then say

cos(angle) = adjacent/hypotenuse

cos(theta) = AB/AC

cos(theta) = -12/13

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

If you apply the pythagorean theorem, you should find that BC = 5, which I'll  make negative since we're below the x axis. Then we can say

sin(theta) = opposite/hypotenuse

sin(theta) = BC/AC

sin(theta) = -5/13

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

If you divide sine over cosine, then you'll get 5/12. The 13's cancel out. This is the value of tangent.

Or you could say

tan(theta) = opposite/adjacent

tan(theta) = BC/AB

tan(theta) = (-5)/(-12)

tan(theta) = 5/12

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

To find csc, aka cosecant, you apply the reciprocal to sine

sin = -5/13 which means csc = -13/5

sec, or secant, is the reciprocal of cosine

cos = -12/13 leads to sec = -13/12

and finally cotangent (cot) is the reciprocal of tangent

tan = 5/12 leads to cot = 12/5

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

Note: everything but tan and cot is negative in Q3.

HELPPP PLEASEEE! I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? I am not sure where to start either now. Thank you for your time.

Answers

That is the solution to your question

X+ y = 18
X = 2y
What is the solution of the system of equations?
i need the answer asap lol!!!!

Answers

Answer:

( 12 , 6 )  or x=12,y=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

if  x = 2y then

2y+y=18

3y=18

=6

x²-7x+5 in the form (x-a)²-b​

Answers

Answer:

( x - 3.5)² - 29/4

Step-by-step explanation:

Given :-

x² - 7x + 5

Writing in ( x - a)² - b form ,

x² - 7x + 5 x² - 7 * 2/2 * x + 5 x² - (7/2) * 2 * x + 5 x² - (7/2)*2*x +(7/2)²-(7/2)²+5( x - 7/2)² + 5 - 49/4( x - 7/2)² + ( 20-49)/4( x - 3.5)² - 29/4

The mean of 19 numbers is 1600. If 2000 is added in the number. Find the new mean​

Answers

Answer:

Here's your answer .

hope it helps you

Tracy leaves the beach at 3:00 p.m. and drives along the highway at 55 mph. One hour later, Quinn leaves the same beach and drives along the same highway in the same direction at 65 mph. How many hours will it take Quinn to catch up to Tracy?
10 hours
6.5 hours
8.5 hours
15 hours

Answers

Answer:

8.5 hours

Step-by-step explanation:

55 x 9.5 (add extra hour) = 552.5 miles

65 x 8.5 (actual time spent) = 552.5 miles

The time taken for Quinn to catch up to Tracy during the journey is 8.5 hours.

Time of motion of Tracy and Quinn

The time of motion of tracy and quinn is determined by using the following equation as shown below;

For tracy, d = 55(t + 1)

For Quinn, d = 65t
where;

t is the time taken for Quinn to catch up to Tracy

55(t + 1) = 65t

55t + 55 = 65t

55 = 10t

t = 55/10

t = 5.5 hours

3 hour from noon + 5.5 hours = 8.5 hours

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Describe how the graph of y = |x - 2| - 5 is a transformation of the graph of y = |x|. Use terms such as "shifted", "reflected", "stretched", or "compressed".

Answers

Answer:

The original graph was shifted 2 units to the left and 5 units down.

Step-by-step explanation:

y = |x|

From this, we go to: y = |x - 2|.

When we want to shift a function f(x) a units to the left, we find f(x - a). So first, the graph was shifted 2 units to the left.

y = |x - 2|.

From this, we go to: y = |x - 2| - 5.

Shifting a function f(x) down b units is the same as finding f(x) - b, so the second transformation was shifting the graph 5 units down.

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