If -2x +7 = 3x - 8, then x =

Answers

Answer 1
-2x +7 = 3x - 8

Move the variable to the left-hand side and change its sign

-2x -3x+ 7 = -8

Move the constant to the right-hand side and change its sign

-2x -3x = -8 -7

Collect like terms

-5x = -15

Divide both sides of the equation by -5

x=3

Related Questions

What’s a perfect cube
M

Answers

ice cube.........................

Answers ASAP simplify the ratio answer both questions

Answers

Answer:

The answers are 40 : 1 and 16 : 5

Step-by-step explanation:

3. ) 400 : 10

Cancel out two of the zeros to get-

40 : 1

6. ) 1600m : 5km

1 km = 100 m, Therefore-

1600 : 500

Cancel out the zeros to get-

16 : 5

Select the correct answer.
Which expression means five times the sum of band two?
OA. 5(6+2)
O B. 56+2
Oc. (6+2)
5
D
(5+2)
OD.

HELP PLEASE!! ill give brainlist

Answers

A is the answer to that question!

Answer:

Hi... Your answer is A...

Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?

Answers

Answer:

a = 14 m/min²

Step-by-step explanation:

The displacement of bike is given by :

[tex]s(t)=t^3-2t^2+3[/tex]

Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]

Finding velocity of the bike.

[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]

Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]

[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]

At t = 3 minutes,

a = 6(3) - 4

= 18-4

= 14 m/min²

So, the bike's acceleration after 3 minutes is 14 m/min².

A teacher is 5 feet 8 inches tall and she shrinks to 9 inches. How tall will her pencil be if it undergoes the same scale shrink and was originally 12 inches?
A) 1.59 inches
B) 1.86 inches
C) 2.68 inches
D) 6.8 inches

Answers

Answer:

c

Step-by-step explanation:

2.68

I will give brainiest to whoever answers correctly !!

Answers

Answer:

$10511.075

Step-by-step explanation:

Given :

Interest rate, r =. 1.25% = 0.0125 compounded semianually

Principal = 10000

Number of years, t = 4 years

Compound interest :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

n = 2 (quarterly)

A = 10000(1 + 0.0125/2)^2*4

A = 10000(1 + 0.00625)^8

A = 10000(1.00625)^8

A = 10000 * 1.051107529

A = 10511.075

Final. Amount to. Be repaid = $8515.13

2x + 8=12 what is the value of 4x + 2

Answers

Answer:

2x + 8 = 12

x = 2

4x = 2 = 10

Step-by-step explanation:

The table shows the proportional relationship y=kx. Which is the unit rate,k?
Pls help

Answers

Answer:

[tex]k=\frac{4}{7}[/tex]

Step-by-step explanation:

The equation [tex]y=kx[/tex] represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any [tex](x,y)[/tex] coordinate into this function to get [tex]k[/tex].

Using the first coordinate, we have:

[tex]4=k(7),\\k=\frac{4}{7}[/tex]

Verify that [tex]y=kx[/tex] works for the other coordinates [tex]\checkmark[/tex]

Thus, the value of constant [tex]k[/tex] is [tex]\fbox{$\frac{4}{7}$}[/tex].

Alex started a new social media account, which he uses to post pictures of cute animals. On the first day, he had only 8 followers. However, his account became popular very quickly and his number of followers tripled every day. Identify the recursive function that gives the number of followers he has after n days.

Answers

Answer:

[tex]T_n = 3T_{n-1}[/tex]

Step-by-step explanation:

Given

[tex]T_1 = 8[/tex] -- First term

[tex]r = 3[/tex] --- rate

Required

Determine the recursive term

We have:

[tex]T_1 = 8[/tex]

The second term to the nth term is:

[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]

[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]

[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]

Using the above yardstick:

[tex]T_n = T_{n-1} * 3[/tex]

[tex]T_n = 3T_{n-1}[/tex]

Answer:

4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.

On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.

Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.

Thus, the recursive function is

f(1) = 8

f(n) = 3 f(n-1) if n > 1.

Option D is the correct answer.

Step-by-step explanation:

the sum for 3 times x and eleven

Answers

Answer:

3x +11 = 32

Step-by-step explanation:

hope this is correct! <3

Answer:

3x +11 = 32

3x = 32-11

3x = 21

x = 21/3

x = 7

check answer:

3(7)+11 = 32

21 + 11 = 32

32 = 32

LHS = RHS

Hence, verified

28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15

Answers

Answer:

p=5x+3y

solve for x, number of cupcakes. isolate x

5x=p-3y

divide by 5

x=(p-3y)/5

Step-by-step explanation:

D. x<15

A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?

a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.

Answers

Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

Step-by-step explanation:

Mean of the sampling distribution of the sample proportion = p (Population proportion.)

Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.

Then, Mean = p = 0.05

Hence, the correct option is

c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

This question is based on the concept of statistics. Hence, the correct option is  (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

Given:

A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.

According to the question,

Mean of  sampling distribution of the sample proportion = p (Population proportion.)

It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.

Thus, Mean = p = 0.05

Hence, the correct option is  (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.

For more details, prefer this link:

https://brainly.com/question/10211620

(x3 + 3x² + x + 6) + (x - 1)

Answers

Answer:

x^3 + 3x^2 + 2x + 5

Step-by-step explanation:

combine like-terms

Angles in a triangle

Answers

Answer

1=62

2=45

3=24

Angle 1

1 plus 118 equals 180 degrees (because both of the angles combined creates a straight angle).

1+118=180

180-118=1

1=62

Angle 2

The angles in a triangle add up to 180 degrees.

You know that angle 1 is 62 degrees.

And the other angle is 73 degrees.

You can now find angle 2.

62+73+2=180

2=180-62-73

2=45

Angle 3

Angle three is in a different triangle.

You already know that the angles in a triangle added up are 180 degrees.

The other missing angle in the triangle can be found by subtracting 73 from 180.

180-73=107

Now you know that two of the angles in the triangle are 107 and 49.

You can now find angle 3.

107+49+3=180

3=180-107-49

3=24

you should give the person above a brainliest!! :)

A bag of rare spice that weighs 3/4 pounds will be split equally among 36 people. How much spice will each person get?

Answers

Answer:

Each person will get 1/48 of a pound of spice

Answer:

1/48 pound

Step-by-step explanation:

You have to do 3/4 divided by 36, so you get

[tex]\frac{3}{4} / 36 = \frac{3}{4} * \frac{1}{36} = \frac{1}{48}[/tex]

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools.
a) They select a random sample of 500 applications, and find that 46 of those students attend private schools. Check the conditions required for inference. (3 marks)
b) Create the 90% confidence interval. (6 marks)
c) Interpret the confidence interval in the context of the problem. (3 marks)
d) Should the admissions officers conclude that the percentage of private school students in their applicant pool is lower than the statewide enrollment rate of 12%? Explain. (2 marks)

Answers

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

What is the probability of rolling a three and flipping tails? Brainliest for correct answer.

Answers

Answer:

1/12

Step-by-step explanation:

dice have 6 sides and the coin has 2 sides, so u multiply 6x2 to get your denominator 12. you are trying to get 1 side of the dice, and 1 side of the coin so the numerator is 1. when put together you get the fraction 1/12

A bowl holds the 10 pieces of fruit shown below.

If Jasmine writes the fraction of fruit that are apples and does not reduce the fraction, which of the following would be the numerator of the fraction?

Answers

Answer: 10

Step-by-step explanation: 10 is the total number of all the fruits so that is what you are dividing by

Answer:

Step-by-step explanation:

Given f(x) = -4x + 7 and g(x) = x3, choose
the expression for (fºg)(x).

Answers

Answer:

Solution,

Given,

f(x) = -4x + 7

g(x) = [tex]x^{3}[/tex]

Now,

fog(x) = f{g(x)} = f([tex]x^{3}[/tex]) = -4[tex]x^{3}[/tex]+7

Which is the best way to describe 1-21? 1.the opposite of 2 2. point A 3. the distance between A and C 4. the distance between A and D​

Answers

Answer:

c 4

Step-by-step explanation:

I will give brainiest to whoever answers correctly !!

Answers

Answer:

April 25 150 days

Step-by-step explanation:

A farm has 5 brown cows and 10 white cows. A fence is open and a cow escapes. What is the probability that it will be a brown cow?

Answers

1/15 because if just one cow escapes out of all the cows then it will be 1 out of 15 cows all together.

Answer:

D

Step-by-step explanation:

Which answer is the most reasonable to estimate 448.3 ÷ 51.3?

Answers

Answer:

9

Step-by-step explanation:

450/50

An expression is evaluated as shown below.



8 + 3 × (4 ÷ 2) − 7



Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15



In which step does a mistake first appear?

Answers

Answer:

Step 2: 11 × 2 - 7

Step-by-step explanation:

unzsun sun dn I'd i

write the standard number 723,600 in scientifict notation

Answers

Answer:

723,600 = 7.236 × [tex]10^{5}[/tex]

Step-by-step explanation:

Scientific notation is a way to express numbers in a form that makes numbers that are too small or too large more convenient to write. It is commonly used in mathematics, engineering, and science, as it can help simplify arithmetic operations.

what is the repricocal of 2/3
A. -3/2
B. -2/3
C. 1/3
D. 3/2​

Answers

The answer is -3/2 .....
the reciprocal of 2/3 would be 3/2 or D, you just flip the denominator and numerator

r(x)=2square root of x S(x)= square root of x (rs)(4)=

Answers

Answer:

[tex](rs)(4) = 8[/tex]

Step-by-step explanation:

Given

[tex]r(x) = 2\sqrt{x[/tex]

[tex]s(x) = \sqrt x[/tex]

Required

Determine [tex](rs)(4)[/tex]

In functions:

[tex](fg)(x) = f(x) * g(x)[/tex]

This implies that:

[tex](rs)(x) = r(x) * s(x)[/tex]

Substitute values for r(x) and s(x)

[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]

[tex](rs)(x) = 2(\sqrt{x})^2[/tex]

[tex](rs)(x) = 2x[/tex]

Substitute 4 for x

[tex](rs)(4) = 2 * 4[/tex]

[tex](rs)(4) = 8[/tex]

NEED HELP SOON ON A TIME LINE

Answers

Answers :
F.
D.
E.
G.
B.
A.

I hope this helped !

I will give brainiest to whoever answers correctly !!

Answers

Answer:

She will have to pay back the principal amount of $28,000 plus $728.00 in interest for a total of $28,728.00

Step-by-step explanation:

Interest = principal x interest rate x time period

Interest = 28,000 x .013 x 2

Interest = $728

Total payback amount = principal + interest

Total payback amount = 28000 + 728

Total payback amount = $28,728.00

I hope this helps!

-TheBusinessMan

NEEED HELP QUICK PLS PLS pls pls pls .

Answers

Answer:

step 4 is correct because h-¹(x)=2x+5

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