solve for x using distributive property

2(x+7)=13

and

5(x-7)=17

Answers

Answer 1

Answer:

x= −1/2, x=52/5

Step-by-step explanation:

2(x+7)=13

(2)(x)+(2)(7)=13(Distribute)

2x+14−14=13−14

2x=−1

2x/2=−1/2

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

5(x−7)=17

(5)(x)+(5)(−7)=17(Distribute)

5x+−35=17

5x−35=17

5x−35+35=17+35

5x=52

5x/5=52/5


Related Questions

A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
random. How many possible outcomes are there?
0 3
O 5
0 6
O 14

Answers

Answer:

14

Step-by-step explanation:

hope it helps!

HELP PLEASE 40 Points both questions please

Answers

The answer for this is C.

6. It's B. x2+y2=25

9. (x + 3)² + (y – 2)² = 25

Hope this helps since this is solved by a 10-year old girl, me.

Which of the following is an equation?

Answers

Answer:

B) y/9 = 3

Step-by-step explanation:

What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.

Only choice B does that

Find the surface area of the regular pyramid.

help TvT

Answers

the whole pyramids SA would be
144+480=624

Please help! What is the volume? Answer and explanation please! <3 (No links please..)

V = ____ pi inches cubed

Answers

9514 1404 393

Answer:

  562.5π in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

where r is the radius, half the diameter.

  V = (4/3)π(7.5 in)³ = 562.5π in³

PLEASE HELP

A town has a population of 40,000 persons.
There are 6000 school-age children in the
town. What is the ratio of the school children
to the total population?

And please add the formula or how you did it

Answers

Answer:

3:20

Step-by-step explanation:

6000:40,000

find HCF (2000)

divide both sides by 2000

3:20

9. The sum of 10 and 7 times a number is 59. What is the
number? (Use n as the variable.)

Answers

10+7n=59
7n=59-10
7n=49
n=49/7
n=7

Answer:

7

Step-by-step explanation:

Let,

The number be = n

According to the question,

First 7 times of n = 7n

Sum of 10 and the number = 7n + 10

Said that,

The sum of 10 and 7 times of the number is 59.

Therefore,

By the problem ,

=> 7n + 10 = 59

=> 7n = 59 - 10

=> 7n = 49

[tex] = > n = \frac{49}{7} [/tex]

=> n = 7

Hence,

The required number is 7 (Ans)

What is the absolute value of 2 1/2

Write your answer as a mixed number.

Answers

Answer:

it is 2 1/2

Step-by-step explanation:

I hope this helps

An item originally costs $49.95 and is on sale for 33% off the original price. The sales tax is 5.75%. Find the cost of the item.

Answers

Answer:

$35.39

Step-by-step explanation:

Need help plzzzzzzzzzzxx

Answers

9514 1404 393

Answer:

  (a)  15/17

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(P) = PQ/PR

  cos(P) = 15/17

If you invested $2000 in an account that paid 8% annual interest compounded quarterly, how much would the account be worth in 10 years?

Answers

Answer:

4,317.85

Step-by-step explanation:

Answer:

$1600

Step-by-step explanation:

8 = 0.08%   Turn the percent to a decimal

2000 / 0.08 = 160    Divide it by 2000

160 * 10 = 1600    Mutiply by 10

Have a good day    

                               

The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 17 ft long, what is the volume?

Use the value 3.14 for π and round your answer to the nearest whole number.

Answers

Answer:

120.105 square feet.

Step-by-step explanation:

Given that the radius of a cylindrical construction pipe is 1.5 ft, to determine its volume, given that the pipe is 17 ft long, the following calculation must be performed, knowing that the volume of a cylinder arises from multiplying the number pi by the radius at square of the cylinder, and that result by the height of it:

(3.14 x (1.5^2)) x 17 = X

(3.14 x 2.25) x 17 = X

7.065 x 17 = X

120.105 = X

Thus, the volume of the cylinder is 120.105 square feet.

for each of the figures write an absolute value equation to satisfy the given solution set

5 and 17

Answers

answer is: I x-11 I = 6

Answer:

|x-11|=6

hope this helps

Step-by-step explanation:

claire is writing a report about kangaroos. the report must be two full pages. if she can fit 20 lines on each page with about 20 words per line, approximately how many words in all will claires report be?

Answers

Answer:

800

Step-by-step explanation:

20 lines per page with 20 words per line means 400 words per page

2 pages means 400 x 2 which is 800 words

What is the complementary angle
of 65 degrees

Answers

The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.

Answer:

25°

Step-by-step explanation:

Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.

(90) - (65) = (25)

Please help!


If f(x) is an exponential function where f(- 2.5) = 9 and f(2.5) = 45 , then find the value of f(3.5) , to the nearest hundredth

Answers

The value of g(3.5) is 41.49 to the nearest hundredth

Exponential function

The standard exponential function is given as g(x) = ab^x

If g(-2.5) = 9 and g(2.5) = 45, hence;

9 = ab^-2.5 .............. 1

45 = ab^2.5 .............2

Divide both equations:

9/45 = b^{-2.5-2.5}

1.5 = b^-5

1.5= 1/b^5

b^5 = 0.6666

b = 0.922

Also since 45 = ab^2.5 .

45 = a(0.922)^2.5

45 = 0.81625a

a = 55.13

g(3.5) = 55.13(0.922)^3.5

g(3.5) = 41.49

Hence the value of g(3.5) is 41.49 to the nearest hundredth

Learn more on exponential function here: https://brainly.com/question/12940982

#3 please Question Is in the photo above please help me extra points will be given

Answers

Answer:

the answer to the problem is d

the answer is D please thank me:) i need points

-7x-13 >(or equal) 8

Answers

Answer:

x ≤-3

Step-by-step explanation:

What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?

Answers

Answer:

3375cm

Step-by-step explanation:

because it is asking for volume it is cubed

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A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control

Answers

Answer:

Sample number 3

Step-by-step explanation:

From the given information:

Sample                   Service life(hours)                Total        Mean(X)

                     1               2            3           4

1                 495         500       505       500       2000        500

2                 525         515       505       515         2060        515

3                 470         480       460       470        1880          470

Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]

Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]

Thus;

[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]

To plot on an X_Bar chart, we have:

Sample        Mean (X)     UCL        LCL

1                      500           520        480

5                     515            520        480

6                     470            520        480

The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.

1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x +​

Answers

Answer:

.......

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Take half of b (6/2=3)

Square it (3^2=9)

Solve the quadratic equation 2x2 = 5x + 9. <33 please besties

Answers

Answer:x=-1

Step-by-step explanation:

The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?​

Answers

9514 1404 393

Answer:

  B(5, 4)

Step-by-step explanation:

The midpoint formula is ...

  M = (A +B)/2

Solving for B gives ...

  B = 2M -A

  B = 2(1, -2) -(-3, -8) = (2+3, -4+8) = (5, 4)

The coordinates of B are (5, 4).

A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?

Answers

Answer:

6  5

Step-by-step explanation:

4 5  6 7

You are surveying students to find out their opinion of the quality of food served in the school cafeteria. Which of the following samples would be random?​

Answers

Answer:

aint random

Step-by-step explanation:

The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.

What is a Random Sample?

A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.

Random sampling is used in science to conduct blinded studies or randomized control testing.

This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.

Learn more about random sample here:

https://brainly.ph/question/13096146

#SPJ2

A triangular prism has faces.​

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer above is correct, a triangular prism has 5 faces.

Step-by-step explanation:

Count the faces that it has.

What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)

Answers

Answer:

5009.206

Step-by-step explanation:

The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!

Write the equation of the line in SLOPE- INTERCEPT form:
1. (4, 2); slope 3
2. (3, -1); slope 4
3. (-4,-2), (4,0)

Answers

Answer:

Step-by-step explanation:

1) slope = m = 3

(4 , 2) ;  x₁ = 4 ; y₁ = 2

y - y₁ = m(x  - x₁)

y - 2 = 3(x - 4)

y - 2 = 3x - 4*3

y - 2 = 3x - 12

y  = 3x - 12 + 2

y = 3x - 10     {Slope -intercept form: y = mx + b}

3) (-4 , -2) , (4 , 0)

We have to find the slope

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]

m = 1/4  ; (4 , 0)

y - y₁ = m(x  - x₁)

[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]

answer this please thanks

Answers

Answer:

4. c

6. e, a

Step-by-step explanation:

Hopefully, it correct

A shipment of sugar fills 8 containers. If each container holds 2 1/6 tons of sugar, what is the amount of sugar in the entire shipment?

Answers

Answer:

17 1/3 tons of suger

Step-by-step explanation:

2 1/6 * 8 = 17 2/6 or 17 1/3

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