Solve |x – 4| + 6 = 17.
A. X= 15 and x = -15
B. x= -15 and x= 7
C. x = 15 and x= -7
D. x = -15 and x = -7

Answers

Answer 1

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]


Related Questions

A livestock pen is built in the shape of a rectangle that is four times as long as is wide. The total perimeter is 60 ft. Write an equation that models the perimeter in terms of width and/or length, find the length and width.

Answers

Answer:

Perimeter = 60ft = 2(4x + x)

breadth = 6ft

length =  24ft

Step-by-step explanation:

Perimeter = 2 (L + B)

L =length

B = Breadth

x= breadth

4x = length

Perimeter = 60ft = 2(4x + x)

Dividing both sides by 2 :

30ft= 4x + x

30ft = 5x

divide both sides by 5

6ft= x

breadth = 6ft

length = 4x= 4 x 6 = 24ft

What is the value for X

Answers

Answer:

The answer is 77.

I hope this helps.

Need help to solve it in standard form ( y= mx+b )
4x+9y= -63
2x-3y= -9​

Answers

Answer:

Answers below

Step-by-step explanation:

A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.

Answers

Answer:

1000 less 35% == 650

so 250 given to charity

total cost making the pins was 1000x 1.10 = 1100

so you need to find 60 percent of 650 =390

and 40 percent of 650 = 260

so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal

Then you have 260 ÷2 = 130 x 5 = 650

so you have 650+1170 = 1820 - 1100 cost to make =720 pounds

think this right

please answer this question fast​

Answers

Answer:

348 of them are not postgraduates

Step-by-step explanation:

Answer:

348

Step-by-step explanation:

Out of 725 employees, 52% are postgraduates.

First find the percentage who are not postgraduates, or the "remaining."

100% - 52% = 48%

48% of 725 employees = how many employees?

48/100 × x/725

Cross multiply

48 × 725 = 100 × x

34800 = 100x

Divide both sides by 100

34800 ÷ 100 = 100x ÷ 100

348 = 1x

348 employees are not postgraduates

During a company's first full year in business, the price of oil increased $50. In the second year of business, the price of oil went down $50 from its price at the beginning of that year. Its price at the end of the second year is what percent of its price at the beginning of the first year?

Answers

Answer:

Step-by-step explanation:

Um 150 x 2 divided by 4 i believe

Answer:

75

Step-by-step explanation:

Let the initial cost of oil be x. After the first year, the price of oil is 1.5x. After the second year, the price of oil is 0.5 ∙ 1.5x = 0.75x.

This is 75 percent of its price at the beginning of the first year.

I NEED HELP PLEASE !!!!!

Answers

Answer:

The distance between points A and B is 3 units

Step-by-step explanation:

We need to find distance between points on the number line.

The points given are:

A = -1 , B = 2

The formula used is: [tex]Distance = |b-a|[/tex]

Putting values of a and b and finding answer:

[tex]Distance = |b-a|\\Distance = |2-(-1)|\\Distance=|2+1|\\Distance=|3|\\Distance = 3[/tex]

So, The distance between points A and B is 3 units

WEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer: n^3/m^2

Step-by-step explanation:

first, i expressed it with a positive exponent.

1/m^2 x n^3

then, i calculated it from there.

n^3/m^2

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer: to wirte and solve for a missing side length of a rectangle, do your perimeter equation backwards, hope this helps

Step-by-step explanation:

please help me like rn

Answers

The answer is the first one, 7 1/4
It is the f I r a t one

find 3/4 of 40

plz show your work

Answers

Answer: 30

Step-by-step explanation: each 1/4 is 10. So 30 is 3/4

50 points! Will mark brainliest! Pic is attached below :)

Answers

Answer:

you have nothing attached

Answer:

Perpendicular

Step-by-step explanation:

I calculated and its correct from p

please help i will give brainliest

Answers

Answer:

y=2x-5 and y=3-2x

Step-by-step explanation:

The answer is y= 2x-5 and y = 3-2x

What is the minimum, First Quartile (Q1), Median, Third Quartile, Maximum for 5,6,8,8,9,10,13,14,16,16,16,18,19, 21,22,23,25 of the data set?

Answers

The answer above should be correct, I believe it is , but can you please mark me BRAINLEST?

Simplify the following and express the result in positive exponential form


( 3/11)-2 x ( 3/11)-5

Answers

Answer:

Step-by-step explanation:

Solution:

Your problem → (3/11)-2 x (3/11)-5

(3/11)-2x(3/11)-5

=(3/11)-2x × (3/11)-5

=(3/11)-(6x/11)-5

=(3-6x-5×11)/11

=3-6x-55/11

=(-52-6x)/11

How is the graph of a function whose domain is all real numbers different from the graph of a function whose domain is a specified set of distinct numbers?​

Answers

Domain is all first components of ordered pairs, while range is second component of ordered pairs. Real numbers include natural numbers, integers, whole numbers. If the domain is all real numbers this means the x correspondence but be any and all real numbers. Range means y is 2. The answer is a horizontal line drawn at y intercept 2

What is the solution of the system of equations shown in the graph?
PLEASE HELP WILL GIVE BRAINLY

Answers

The solution would be -4,-2

This is because when it is a graph, wherever the two lines cross is the solution

Francis owns a camping supply store and just put in an order for flashlights and sleeping
bags. The number of flashlights ordered was five times the number of sleeping bags ordered.
The flashlights cost $12 each and the sleeping bags cost $45 each. If the total cost for the
flashlights and sleeping bags was $1785, how many sleeping bags did Francis order?

Answers

Answer:

The number of sleeping bags bought is 17.

Step-by-step explanation:

If we let "x" be the number of the sleeping bags that were bought, we can make the following equation....

(5x)(12) + (x)(45) = 1785

By solving the equation we get....

(5x)(12) + (x)(45) = 1785

60x + 45x = 1785

105x = 1785

x = 1785 / 105

x = 17

There for the number of sleeping bags bough is 17.

-4w + 4 = 12
help math ahh

Answers

Answer:

[tex] - 4w + 4 = 12 \\ - 4w = 12 - 4 \\ - 4w = 8 \\ w = - \frac{8}{4} \\\boxed{w = - 2}[/tex]

w=-2 is the right answer.

What is the answer to the problem I am stuck on?

Answers

Answer:

A

Step-by-step explanation:

1*1/4 is One lap, but you want 23 laps so exchange the 1 with a 23:

23*1/4

A

Answer:

bitter

Step-by-step explanation:

Marcy brought 25 pencil for $1.50. What is the cost, in dollars, of 1 pencil.

Answers

The cost for 1 pencil is 6 cents
6 cents per pencil
:)))

Rectangle A and rectangle B are similar. Rectangle A has a length of 10 and width of 15. Rectangle B has a length of 45 what is the value of the width for rectangle B

Answers

9514 1404 393

Answer:

  67.5 units

Step-by-step explanation:

The width is 15/10 = 1.5 times the length, so the larger rectangle has a width of ...

  1.5 × 45 = 67.5

The width of rectangle B is 67.5 units.

PLEASE HELP I WILL GIVE YOU BRAINLIST!!!

Wilson bought a painting for x dollars. After 1 year, the value of the painting increased by 5%. Which expression best represents the new value of the painting?

Answers

Answer:

1,000$

Step-by-step explanation:

::::::::::::::::::::::::::::)

Answer:

1.05x

Step-by-step explanation:

somebody please help ive been doing this for two hours.........

Answers

Answer:

The amount paid for the loan= 1500+270=1770

Step-by-step explanation:

P=1500$,   r=9%=0.09,  t= 2 years,  l- loan

l=prt

l=1500*0.09*2

l=270

It’s What the other person said

how can you round 0.234 to the nearest hundredth?

Answers

Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

In many Spanish speaking countries women greet friends and family with a kiss on the cheek.

Your answer:

True


False

Answers

the answer to your question is true <3

Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?

Answers

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

435,506 rounded to nearest ten thousand

Answers

Answer:

445,506

Step-by-step explanation:

math


A snail crawls 5/8 inches in 3/4 minute. What is the snail's speed in inches per minute? Write
your fraction in simplest form.

Answers

Answer:

5/12 inches per minute

Step-by-step explanation:

If A snail crawls 5/8 inches in 3/4 minute, then;

5/8 inches = 3/4 minute

we are to fine the distance covered in a minute;

x inches = 1 minute

Divide both expressions

5/8x = 3/4

24x = 20

12x = 5

x = 5/12

Hence the snail covered 5/12 inches per minute

Pls help due ASAP and show workings pls

Answers

Answer:

The coordinates of point B are: (29,-15)

Option D is correct option.

Step-by-step explanation:

Endpoint of diameter of a circle = A(5,7)

Centre of circle = P(17,-4)

We need to find coordinates of other endpoint of diameter of a circle i.e. B

The formula used is: [tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

We are given coordinates of centre (midpoint) P(17,-4)

and A (5,7) x₁=5, y₁=7

We need to find Point B i.e. (x₂,y₂)

Putting values and finding point B

[tex]Midpoint=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\\(17,-4)=(\frac{5+x_2}{2}, \frac{7+y_2}{2})\\We\:can\:write:\\17=\frac{5+x_2}{2}\:and\: -4=\frac{7+y_2}{2}\\17\times 2=5+x_2\:and\: -4\times 2=7+y_2\\34=5+x_2\:and\: -8=7+y_2\\34-5=x_2\:and\: -8-7=y_2\\x_2=29\:and\: y_2=-15[/tex]

so, we get: x₂ = 29 ,y₂ = -15

The coordinates of point B are: (29,-15)

Option D is correct option.

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