I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

An equation is shown below:

8(2x − 14) + 13 = 4x − 27

Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)

Part B: What value of x makes the equation true? (4 points)

Answers

Answer 1

Answer:

solution: x=6

Step-by-step explanation:

8(2x-14)+13=4x-27

next, distribute 8 through the parentheses

16x-112+13=4x-27

calculate the sum

16x-99=4x-27

move the variable to the left-hand side and change it's sign

16x-4x-99=-27

move the constant to the right-hand side and change it's sign

16x-4x=-27+99

collect like terms

12x= -27+99

calculate the sum

12x=72

divide both sides of the equation by 12

x=6

final solution: x=6


Related Questions


[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.​

Answers

Answer:

5

Step-by-step explanation:

How many terms are in the expression below?
17 – (5n = 4) + 8%

Answers

Answer: 4

Step-by-step explanation:

(Can someone please answer my math question)

Solve this systems of equations
{y = 3x}
{x + y = 52}

WILL MARK BRAINLEST!!

Answers

Answer:

x = 13

Step-by-step explanation:

x + y = 52

x + 3x =52

4x =52

x =52/4

x = 13

Hope this helps

Pls tell if any mistakes

Step-by-step explanation:

given

y=3x

x+y=52

now

x+y=52

x+3x=52

4x=52

x=52/4

x=13

therefore y=3*13=39

Given: ∆ABC ≅ ∆DEF. Find DF and m∠B.

Answers

Answer:

DF is 3 and angle B is 28

Step-by-step explanation:

If both are congruent, the measurements are the same.

Answer:

DF = 3, Angle B = 28

Step-by-step explanation:

Look how the congruence statement is written. Ac goes with Df and angle E goes with angle B, so they are congruent.

<CEB and BED are adjacent angles ehat is the side common to the two angles?​

Answers

Step-by-step explanation:

<CEB and < BED are adjacent angles then

The common side to the two angles is

EB

is 8.2 and 5.15 proportional

Answers

I think so but if I am wrong I am so sorry about that

If a man is driving at a rate of 50 km per hour, how many kilometers will he travel in 30 minutes? A. 25 km B. 30 km C. 150 km D. 180 km

Answers

Answer:

A. 25 km

Step-by-step explanation:

1 hour = 60 minutes

30 minutes is a half of an hour, therefore

50 / 2 = 25

Answer:

a, 25km

Step-by-step explanation:

i dont need brainliest but thx

im jamming to rick astley right now its so fun

Help please I give brainliest

Answers

Answer:

interest is $105

total is $455

Step-by-step explanation:

350 * .03 = 10.5

10.5*10 = 105

interest is 105

350 +105 = 455

Interest earned: $105

The balance of the account: $455

(I just need one more brainliest then I get the rank ACE)

Ralph receive money from his family members for his graduation. He decides he wants to spent no more than $120 on movies to bring with him to college.

Answers

What’s the question?

The nth term of the GP is given by
[tex]10 - \frac{10}{ {2}^n{}}[/tex]
find the first 4 terms​

Answers

Answer:

Step-by-step explanation:

hello :

An = 10 -10/2^n

the first 4 terms​ are :

A1 = 10 -10/2^1 = 10-5

A1 = 5

A2 = 10 -10/2^2 = 10-10/4 = 10-5/2 = (20-5)/2

A2 = 15/2

A3 = 10 -10/2^3 = 10-10/8 =10-  5/4 = (40-5)/4

A3 = 35/4

A4 = 10 -10/2^4 = 10-10/16 = 10-5/8 = (80-5)/8

A4 = 75/8

Question 18 of 25 Which of the following statements are not true regarding functions? Check all that apply. O A. A function is a relation in which each value of the input variable is paired with at least one value of the output variable. B. A sequence is a function whose domain is the set of natural numbers. I C. The vertical line test may be used to determine whether a function is one-to-one. OD. The horizontal line test may be used to determine whether a function is one-to-one.​

Answers

the answer is I C and OD. I hope this helps

the answer is OCD and i don’t unfollow me

I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12

4 3/4 -> 4 9/12

1/3 -> 4/12

Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall

ummm pls help (: pls

Answers

Answer:

Hence, first one will be 1/3 and second one will be 1/6

Step-by-step explanation:

1. Let the blank space be x then,

[tex]3 \frac{2}{3} + x = 4[/tex]

[tex]x = 4 - 3 \frac{2}{3} [/tex]

[tex]x = \frac{12 - 11}{3} [/tex]

[tex]x = \frac{1}{3} [/tex]

2. Let the blank be x then,

[tex]x + \frac{2}{3} = \frac{5}{6} [/tex]

[tex]x = \frac{5}{6} - \frac{2}{3} [/tex]

[tex]x = \frac{5 - 4}{6} [/tex]

[tex]x = \frac{1}{6} [/tex]

What type of chart would best be used for continuous data?
Group of answer choices

Pareto chart

Histogram

Dot plot

Pie chart

Answers

histogram charts are best used for continuous data

pls help me...........

Answers

Answer:

3,480

Step-by-step explanation:

After 4 years she had to repay 3,480, i did this one before and got it right hope it helped have a nice day!

Correct option :

[tex]\color{plum}\tt\bold{(b) \: \$3480 }[/tex]

Steps to derive correct option :

Money Maria borrowed = $3000

Percentage of simple interest per annum = 4%

Time she took to repay the money she borrowed = 4 years

We know that :

[tex]\color{hotpink}\tt \: Simple \: interest = \color{plum}\frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $3000

Rate = 4%

Time = 4 years

Which means. the simple interest :

[tex] = \tt \frac{3000 \times 4 \times 4}{100} [/tex]

[tex] = \tt \frac{48000}{100} [/tex]

[tex]\color{plum} =\tt\$ 480[/tex]

Thus, the interest she has to pay = $480

We know that :

[tex]\color{hotpink}\tt \: Amount \color{plum}= principal + interest[/tex]

Then, the Amount Maria has to pay :

[tex] =\tt 3000 + 480[/tex]

[tex]\color{plum} =\tt \$3480[/tex]

Thus, the amount Maria has to repay after 4 years = $3480

Therefore, the correct option is (b) $3480

pls guys tell me the answer pls

Answers

Answer:

Height = 7m

Step-by-step explanation:

Hope that helps!

Answer:

7m

Step-by-step explanation:

what is 2x2x2x2+2+2+2divitide by 6

Answers

Answer:

3.6 repeating or 3 and 2/3

Step-by-step explanation:

I did the work on a calculator.

Answer:

f be it is right

Step-by-step explanation:

okay that is it

Sherbrooke, Quebec is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return trip to Boston, the train travels 50.4 mph. How many times greater (or less) is the train’s speed on the return trip to Boston than on the trip to Sherbrooke?

Answers

9514 1404 393

Answer:

  1.12 times as great

Step-by-step explanation:

The speed from Boston is ...

  (210 mi)/(4 2/3 h) = 45 mi/h

Then the speed to Boston is ...

  50.4/45 = 1.12 . . . times as great

__

The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.

9514 1404 393

Answer:

 1.12 times as great

Step-by-step explanation:

The speed from Boston is ...

  (210 mi)/(4 2/3 h) = 45 mi/h

Then the speed to Boston is ...

  50.4/45 = 1.12 . . . times as great

__

The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.

Which of the following is a regular quadrilateral
A. rectangle
B. square
C. trapezium
D. kite ​

Answers

Answer:

(B) square

Step-by-step explanation:

Square (regular quadrilateral): all four sides are of equal length (equilateral), and all four angles are right angles.

Answer:

B) square is your answer.

Step-by-step explanation:

hope it's help you with write answers.

Simon mixes dried fruits and nuts to make a trail mix that he sells at the farmer's market. The dried fruits cost $6 per pound. The nuts cost
$2 per pound. It costs Simon $40 to make 12 pounds of trail mix.
Which system of equations can be used to find the number of pounds, x, of dried fruits and the number of pounds, y, of nuts that Simon used
to make 12 pounds of trail mix?

Answers

Answer:

d

Step-by-step explanation:

Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $229,500?

Answers

Answer:

0.0268 = 2.68% probability that the sample average is greater than $229,500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single house:

The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]

Sample:

Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]

What is the probability that the sample average is greater than $229,500?

This is 1 subtracted by the pvalue of Z when X = 229.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]

[tex]Z = 1.93[/tex]

[tex]Z = 1.93[/tex] has a pvalue of 0.9732

1 - 0.9732 = 0.0268

0.0268 = 2.68% probability that the sample average is greater than $229,500

Find the surface area of the rectangular prism. 8 yd 3 yd 3 yd pls help

Answers

Answer:

114

Step-by-step explanation:

add the areas of all 6 faces

the formula is A= 2(l*w)+2(l*h)+2(h*w)

A=2(8*3)+2(8*3)+2(3*3)=114

answer: 114yd^2

if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)

Answers

Answer:

2x² + 3x/2 - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2 - 3 + 2x² + x - 6

= 2x² + x/2 + x -3 -6

= 2x² + 3x/2 - 9

Write in point-slope form an equation of the line that passes through the given point and has the given
slope.
(1, – 3); m = 4

Answers

Answer:

y+3=4(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=4(x-1)

y+3=4(x-1)

First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required

Answers

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)

HALP PLZZ!!! WILL GIVE BRAINLIEST IF CORRECT!!! Which of the following is a correct interpretation of the expression -7 - (-11)?
Choose 1 answer:
(Choice A)
Start at -7 on the number line and move 11 to the left.

(Choice B)
Start at -7 on the number line and move 11 to the right.

(Choice C)
Start at -11 on the number line and move 7 to the left.

(Choice D)
Start at -11 on the number line and move 7 to the right.

Answers

Answer:

choice B

Step-by-step explanation:

S 4xy
when x = 2, y = 5

Answers

Answer: 40

Step-by-step explanation:

Plug in the known values:

4(2)(5) = 8(5) = 40

Answer:

its 40 hope this helps you

Step-by-step explanation:

have a nice day/night

There are more than one answer help me and I give brainilest

Answers

Answer:

Equivalent to a), b), and d). It is NOT equivalent to c).

Step-by-step explanation:

6m + 12 is also equivalent to a) 3(2m+4) because when you distribute, it's 6m + 12. It is also equivalent to b) 3m + 8 + 4 + 3m because if you add them together, you get 6m + 12. It is not equivalent to c) but is do d) 4m + 2(m + 6) cause you use the distributive property then add. I hope this helped and please mark brainliest!

find the sum of (x^2+6x-5)+(2x^2+15)

Answers

Answer:

3x²+6x+10 is your answer

Step-by-step explanation:

(x^2+6x-5)+(2x^2+15)

open bracket

x²+6x-5+2x²+15

add or subtract common

3x²+6x+10

The accompanying data set lists the numbers of children of world leaders. Use the data to construct a frequency distribution using six classes and to create a frequency polygon. Describe any patterns.
LOADING... Click the icon to view the data set.

Answers

Step-by-step explanation:

bla bla bla.....................

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