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

14. Max wants to buy some shorts that are
priced at $8 each. He decided to buy a pair
of sneakers for $39, but the total cost of the
shorts and the sneakers must be less than $75.
a. Write an inequality to find out how many
pairs of shorts Max can buy.
b. Suppose that Max wants to buy 6 pairs
of shorts. Will he have enough money?
Explain.
c. Solve the inequality to find the greatest
number of pairs of shorts that Max can buy.
Show your work.

Answers

Answer:

A. ($39)+(8)+(8)+(8)+(8)=71

Therfore he can buy 4 pairs of shorts.

B. No, if he wanted to buy 6 pairs of shorts it would be $87.00 with the sneakers. If he wanted to buy the shorts by themselves then it would only be $48.00 WITHOUT the sneakers.

C. The most amount of shorts he can buy would be 4 WITH the sneakers.

Step-by-step explanation:

Hope this helps. Not sure if right or not but when i was typing it out it made sense. Goodluck! brainliest?

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

When sebatian weight his balikbayan box, its weight was 34 kg. When he got to the airport, he found out that the airline charge $5 for each lb in excess of the free baggage allowance of 50 lb. How much will sebatian pay for the excess weight?

Answers

Answer:

1 kg = 2.205 lb

34 X 2.205 = 74.97lbs

74.97 - 50 = 24.97

25 x 5 = $125

Write the coordinates of the vertices after a rotation 180° counterclockwise around the origin

Answers

Answer:

f" (3,-2)

g' (3,-6)

H' (9,-5)

Step-by-step explanation:

I need help pls because I am confused.

Answers

Answer:

1/8

Step-by-step explanation:

The answer before you simplyify will be 24/4. that = 6

Consider this quadratic equation:
2x2+1x+3=0
Comparing it to the standard form, name a, b, and c
a=
b=
C=

Answers

Explanation: The value for a comes from the coefficient

on the x² term which in this case is 2 so we say that a = 2.

The value for b comes from the coefficient on the x term

which in this case is 1 so we say that b = 1.

The value for c comes from the constant term

which in this case is 3 so we say that c = 3.

WILL GIVE BRAINLIEST

In the figures above, figure A is a square and figure B is a rhombus. If both quadrilaterals have a perimeter of 24, which quadrilateral has a longer side length?

Select one:
A. Figure A
B. Figure B
C. Both figure A and B have the same side length
D. Cannot be determined from the information given

Answers

Answer:

C

Step-by-step explanation:

Answer:

c.both figure a and b have the same side length

Please help with this!! I will mark brainliest! I just need a simple explanation

Answers

Answer: x = 29

Step-by-step explanation:

The four angles of a Parallelogram equal to 360. Its name is derived from the fact that its made up of two sets of parallel lines which means that its opposite angles are equivalent. Fortunately, you are given the values for the angles that are not equivalent which means you can create an equation and solve for x.

5x - 23 + 5x - 23 + 2x + 2x = 360

14x - 46 = 360

14x = 406

x = 29

help me pleaseee pleaseee

Answers

Answer:

x=3

PAW = 40

Step-by-step explanation:

-11x+173-x+43=180

-12x+ 216 = 180

12x = 36

Jason bought a soft drink for 2 dollars and 8 candy bars He spent a total of 26 dollars how much did each candy bar cost

Answers

Answer: Each candy bar cost him 3$

Step-by-step explanation:

First you subtract 26-2 to get 24. This is since he purchased the drink for 2$. Now he uses the 24 dollars to buy 8 candy bars, to figure how much each is you have to divide. You divide 24 by 8 in order to get 3.

Answer:

$3

Step-by-step explanation:

If tan 0 = 8/15, what is sin 0?

Answers

sin theta = 8/17

hope this helps

Please help
Need working for 2 and 3

Answers

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

Find the value for x.
5x-12
3x + 30
48

Answers

Answer: 21

Step-by-step explanation:

Will I fail this year, let me know what you think.

Answers

Answer:

nahhhhhhh u will passsss

Can someone help ASAP plsss

Answers

Answer:

the 4 by 6 and 6 by 4

Step-by-step explanation:

as the answer is same for the both value of 24

commutative meaning however it is placed the value will be not be affected

Howard buys 5 pounds of apples at $2.50 per pound and 3 pounds of grapes at $1.50 per pound. Write an expression that shows the total cost of the fruit. Then, find the total cost.

Expression

The fruit cost

Answers

Answer:

5($2.50)+3($1.50)=17

Step-by-step explanation:

you you just need to put up quantity by side of the bar pound it goes in the brackets that will give you the answer when you multiply that or something fruits value.

[tex]\boldsymbol{\$\,17}[/tex]

Algebraic ExpressionAn algebraic expression is one that is composed of integer constants, variables, and algebraic operations.A mathematical operation is a mathematical action. A mathematical operation includes addition, subtraction, multiplication, division, and calculating the root.

Cost of [tex]5[/tex] pounds of apples at [tex]\$2.50[/tex] per pound [tex]=\$\,(5\times 2.50)[/tex]

Cost of [tex]3[/tex] pounds of grapes at [tex]$1.50[/tex] per pound [tex]=\$\,(3\times 1.50)[/tex]

Therefore,

Total cost of the fruit [tex]=\$\,(5\times 2.50)+\$\,(3\times 1.50)[/tex]

                                   [tex]=\$\,12.5+\$\,4.5\\=\$\,17[/tex]

So, total cost of the fruit is [tex]\boldsymbol{\$\,17}[/tex]

Find out more information about expression here:

https://brainly.com/question/953809?referrer=searchResults

Find the greatest common factor.
3x^2a+3xa^2

Answers

Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

x

.

x

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

a

.

a

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

x

a

1

=

a

x

1

=

x

a

2

=

a

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

a

.

x

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.

How much money was in the account after ​3​ years?

Answers

Answer:

$329.18

Step-by-step explanation:

315 + 14.18 = $329.18

find the holes
[tex]f(x)=\frac{x+3}{(x+1)(x-2)}[/tex]

Answers

Answer:

          x=-1 and x=2

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

9,18,36,... Find the 6th term.

Answers

Answer:

576

Step-by-step explanation:

9, 18, 36, 72, 144, 288
288

list the integers within the interval
[tex] 8 \leqslant x < 16[/tex]


Answers

8,9,10,11,12,13,14,15

do not include 16 as it is not equal to (the line underneath the ‘crocodile’ whereas the ‘crocodile’ next to 8 has a line therefore it is equal to and so you include it.

1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:

Answers

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

Only number 14. Pls explain this is confusing

Answers

Answer:

9.8

Step-by-step explanation

basically its just x/sin55=12/sin90 bc you plug into equation a/sina= b/sinb so then you x/sin55=12

                      sin55*12=x x=9.8

solve for x and y and explain

Answers

Answer: x=9 and y=9

Step-by-step explanation: Y is in the same spot as x! Good luck! :D

hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm

Answers

Answer:

[tex]R(x,y) = (0.8,-1.2)[/tex]

Step-by-step explanation:

The coordinates of QS are:

[tex]Q(x_1,y_1) = (-2,-6)[/tex]

[tex]S(x_2,y_2) = (5,6)[/tex]

The ratio is represented as:

[tex]R_{m:n} = 2:3[/tex]

Required

Find the coordinates of R

The coordinates of R is calculated by:

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Substitute values for m, n, x's and y's

[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]

[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]

[tex]R(x,y) = (0.8,-1.2)[/tex]

None of the options is correct

There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?

Answers

Answer:

Le answer tis 4 UwU

Step-by-step explanation: G'day mate!

P.S- Brainlest plzz??

Answer:

5

Step-by-step explanation:

e

Tyler says he invented a number puzzle.



He asks Clare to pick a number, and then asks her to do the following:



Triple the number



Subtract 7

Double the result



Subtract 22



Divide by 6



Clare says her final answer is -3. Tyler says her original number she thought must have been 3.



How did Tyler know that? Explain or show your reasoning.

Answers

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation:

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank. A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16). Which statement is supported by the graphs? Jillian’s car holds more gasoline and gets better gas mileage. Nikki’s car holds more gasoline and gets better gas mileage. Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage. Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
PLZ FAST

Answers

Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage

What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?

Answers

This question is incomplete

Complete Question

Diego is preparing brownies and cookies for a bake sale. He would like to make equal-size bags for selling all of the 48 brownies and 64 cookies that he has. What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?

Answer:

16 bags.

Step-by-step explanation:

From the question, we have:

48 brownies and 64 cookies that he has

Hence, we solve this question using Greatest common factor method.

The first step would be to find the factors of 48 and 64. We would then pick the Greatest (largest factor) common to both.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 64 are: 1, 2, 4, 8, 16, 32, 64

Then the greatest common factor is 16.

Therefore, the largest number of combination bags that Diego can make with no left over is 16 bags

The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an additional 15 feet is being added to the width

Answers

Answer:

The new area is 1800feet^2

Step-by-step explanation:

Step one:

Given data

The length and width or a rectangular courtyard is 40 feet and 30 feet

we can calculate the area of the courtyard as

Area= 40*30

Area= 1200 feet^2

when the extra 15 feet is added to the width

the new width is= 30+15= 45feet

The new area is

Area= 40*45

Area= 1800 feet^2

in all the area will increase by 1800-1200= 600feet

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