Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. (1 point) −x − 10 > 14 + 2x −3x −10 > 14

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the inequality −x − 10 > 14 + 2x

This are the steps to solve the expression for x;

−x − 10 > 14 + 2x

Step 1: Add to to both sides

−x − 10+10 > 14 + 2x+10

-x > 24+2x

subtract 2x from both sides

-x-2x >24+2x-2x

-3x>24

Divide both sides by 3;

-3x/-3 < 24/-3

x < -8 (Note the change in inequality sign. It was changed because we divided through with a negative value)


Related Questions

Find the lcm of 300,400 and 500

Answers

1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000

A group of four friends attend a movie. The expression below represents the total

amount of dollars spent by the group after purchasing four tickets, P small bags of

popcorn, and D drinks,

32 + 5P + 3D

Answers

Question Requirement:

Simplify expression that represents the total cost of tickets and snacks or beverages

Answer:

The total cost of tickets, snacks and beverages =

$54

Step-by-step explanation:

The first thing here is to ascertain the prices of each item (ticket, a bag of popcorn, and drinks).  We assume that the price of the ticket is $8 (32/4) since there are four tickets for four friends, and  $8 x 4 = $32.  Now, we also assume that a small bag of popcorn costs $2 while drinks cost $4 each.

From the equation, we can ascertain that 5 bags of popcorn were bought while 3 bottles of drinks were purchased.

Since the total cost spent is represented by the expression,

32 + 5P + 3D

Therefore, the total cost spent by the four friends

= 32 + (5 * 2) + (3 * 4)

simplifying the above expression

= 32 + 10 + 12

= $54

Answer:

just gonna snatch these points if u dont mind

Step-by-step explanation:

What is the equivalent amount in year ten of an expenditure of $5,000 in year one, $6,000 in year two, and amounts increasing by $1,000 per year through year ten?

Answers

Answer:

The correct answer is the equivalent amount is $139,059.41

Step-by-step explanation:

According to the scenario, the computation of the equivalent amount in year ten is shown below;

= $5,000 × (P/A, 10%,10) + $1,000 × (P/G, 10%,10)

= $5,000 × 6.1466 + $1,000 × 22.8913

= $30,723 + $22,891.30

= $53,614.30

Now the equivalent amount is

= $53,614.30 × (F/P, 10%,10)

= $53,614.30 × 2.5937

= $139,059.41

Hence, the equivalent amount is $139,059.41

Which answer choice shows the decimals in order from greatest to least?

A) 1.234, 1.237, 1.2, 1.48, 2.01
B) 1.2, 1.234, 1.237, 1.48, 2.01
C) 2.01, 1.48, 1.237, 1.234, 1.2
D) 1.2, 1.48, 2.01, 1.234, 1.237

Answers

Answer:

C

Step-by-step explanation:

The highest number here is 2.01, so we start by looking for an answer that begins with 2.01. Then we compare 1.48, 1.237,1.234, and 1.2. Look into the tenths place to find that 1.48 has a larger tenths place than any other number. continue this cycle to have the full correct order.

3. Repeat this process to find the width and height of a newer 48-inch television whose

screen has an aspect ratio of 16:9.

Do not include units in your answer - write only the Mumber rounded to the nearest tenth

What is the height?

Answers

Answer:

23.5"

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

I need help with this question???​

Answers

Answer:

X = 27

just trust me, im doing similar work as you

Answer: X = 27

Step-by-step explanation:

What is the discriminant? What does it tell you about the types of solutions you can have?

Answers

Answer:

Step-by-step explanation:

ax² + bx + c = 0

Discriminant D = [ - b ± √(b² - 4ac) ] / 2a

If D > 0, then quadratic equation has 2 real roots ;

If D = 0, then quadratic equation has 1 real root ;

If D < 0, then quadratic equation has 0 real roots .

at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2

Answers

Answer:

Step-by-step explanation:

2/5, 19/20) and (1/3, 11/12) in slope-intercept form? ... B. y = 1/2x + 3/4 ... D. y = 3/4x + 1/2 ... [tex]3}^{2}x = \frac{1}{?27} [/tex]find x​.

5 points
In the month of August, Eduardo and Maria Chavez budgeted $250 for
groceries. They actually spent $236.53. How much more or less did they
spend than they budgeted? *
$13.47 less?
$13.47 more?

Answers

Answer:

13.47 less!

Step-by-step explanation:

Answer:

13.47 less

Step-by-step explanation:

This can be explained by taking their budget $250 which is b and subtracting amount spent s

A-B is 13.47

You can also solve this by asking yourself if

250 is greater than or less than A

250 > 236.53 True

250 < 236.53 False

you purcharse 3 items for 4.23 about how much did you spend ?

Answers

Answer:

$12.69

Step-by-step explanation:

3 times 4.23=12.96

Answer:

$12.69

Step-by-step explanation:

you would multiply 4.23 by 3

hope this helps

4.Given AABC, with AB = 5cm, BC = 7cm and AC = 8cm, what is the area of the triangle?

Answers

In Triangle ABC
We have AB=5 cm
BC=7 cm
AC=8 cm

Use Heron's formula with
sides a,b and c
Perimeter,s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)

S=(AB+BC+AC)/2
=(5+7+8)/2
=20/2
=10cm

Area of ABC= √10(10-5)(10-7)(10-8)
= √10(5)(3)(2)
= √300
=17.3205 cm

Consider the equation 1.5x+4.5y=18. Where does the graph intersect the y-axis? *

Answers

Answer:

intersect y axis at  (0,4)

Step-by-step explanation:

lemme know if u need work

Write 32 +24 as a product of two factors using the gcf and the distributive property

Answers

Answer:

4 * 14

Step-by-step explanation:

Given

32 + 24

Required

Write as a product of two factors

First, we need to get the GCF of 32 and 24

The factors of 32 and 24 are:

[tex]32 = 1, 2, 4, 8, 16, 32.[/tex]

[tex]24 = 1, 2, 3, 4, 6, 8, 12, 24[/tex]

The GCF (greatest common factor) is 8

So, the expression 32 + 24 can be rewritten as:

[tex]32 + 24= 4(8 + 6)[/tex]

Add 8 + 6

[tex]32 + 24= 4(14)[/tex]

[tex]32 + 24= 4 * 14[/tex]

Hence,

32 + 24 can be rewritten as 4 * 14

Answer:

it is 8 (4+3) !!!! I just did the question! :)

Step-by-step explanation:

what is the sum of 1 and another 1

Answers

Answer:

1+1=2

Step-by-step explanation:

Answer:2jk

itts3

Step-by-step explanation:

1+1=3

BE is the diameter of circle A. What's the measure of ∠BCE?

Diagram below

Question options:


1)


88°


2)


90°


3)


180°


4)


93°

Answers

Answer:

2. 90°

Step-by-step explanation:

According to the central angle theorem, an inscribed angle is always twice the measure of the central angle.

Thus, the central angle A, is 180°, because it is a straight angle.

Therefore, the measure of the inscribed angle, <BCE would be ½ of 180°.

m<BCE = 90°

Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).

Answers

Answer:

Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

Step-by-step explanation:

We need to write equation of line having slope -2 and point (9,2)

a) Equation in Point Slope Form

The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

Where x₁ and y₁ are the points of line and m is slope.

x₁=9 and y₁=2 and m=-2

Putting values in formula and finding equation:

[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]

So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]

b) Equation in Slope Intercept Form

The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept

Finding y-intercept using slope m=-2 and point(9,2)

[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]

The equation in slope m=-2 and b=20 is:

[tex]y=mx+b\\y=-2x+20[/tex]

So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]

What is the slope between the points (5,-4) and (-3,4)
-1
4
0
1

Answers

Answer:

The answer is -1.

Step-by-step explanation:

You have to apply gradient formula :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :

[tex] m = \frac{ - 4 - 4}{5 - ( - 3)} [/tex]

[tex]m = \frac{ - 8}{8} [/tex]

[tex]m = - 1[/tex]

(Car repair) The bill including parts and labor for the repair of your car is shown. From what is given, can you determine how many hours were spent on labor ? Explain.

Answers

Answer:

2.25 hours or 2 hours and 15 minutes

Step-by-step explanation:

Using the information from the bill shown in the question we can determine the number of hours spent by first subtracting the amount of money spent on parts from the overall total, which would leave us with the total amount spent on labor. Now we would simply divide this by $44 which is how much each hour of labor costs. Finally, this would leave us with the total number of hours of labor that the mechanic put into the car repair.

$384 - $285 = $99

$99 / 44 = 2.25 hours or 2 hours and 15 minutes  (0.25 * 60 minutes)

what is the sum of 26391 and 7298

Answers

Answer:

..............

Step-by-step explanation:

33689

Thanks for the help ;)

Answers

Answer:

A.

Step-by-step explanation:

Answer: 75 per month

Step-by-step explanation:

16. [-12 Points]

DETAILS

CURRENMEDMATH11 3.S.001.

Solve the equation. A calculator may be used.

Express your answer to the nearest tenth.

0.8 1.4.

X

0.45 1

Express your answer to the nearest hundredth.

1.4

0.8

Х

0.45

=

1

Answers

Answer:

Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.

Can someone please answer number 35

Answers

Answer:

I can't understand.

this is very dark

12 is the correct answer.
12/4=3

PLZ HELP ME!! BRAINILEST IF RIGHT!!!

Answers

I think the answer is B

Answer:

I believe that the answer is B)

8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?

Answers

Answer:

14

Step-by-step explanation:

i got it right and you can tell that they are almost the same size.

In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was
$3.79 per gallon. What is the percent of increased in the price of gasoline, rounded to
the nearest whole percent? Type in your number with NO decimals and a % after the number.

Answers

Answer:

36%

Step-by-step explanation:

line up $ and % data like this:

$2.79 represents 100%

$3.79 represents  X%

cross multiply

X*2.79 = 3.79*100

divide both sides by 2.79

X= 3.79*100 / 2.79 ≈ 136%

so it increased 36%

William has 90 to spend on juice boxes for a preschool picnic. Each juice box cost 2.51 what is the maximum number her can buy

Answers

Answer:

35 x 2.51 = 87.85

36 x 2.51 = 90.36

If he cannot spend more than 90 than the maximum amount he can afford is 35.

Step-by-step explanation:

Answer: 35.8565737052

Calculating income with Commission

A salesperson earns $600 per month plus a commission of 20% of sales. Find the minimum amount of sales need to receive a total income of at least $1500 per month.

Answers

Answer:

$4500

Step-by-step explanation:

Step one:

given data

monthly earning= $600

commission =20%= 0.2

let the number of sales be x

and the total earnings be y

Hence the expression for the earnings is given as

y=0.2x+600

Step two:

Required:

the value of x. when y=$1500

1500=0.2x+600

1500-600=0.2x

900=0.2x

divide both sides by 0.2

x=900/0.2

x=4500

The minimum amount of sales need is $4500

solve the following a/5 + 3=8

Answers

Answer: a = 1

You want the letters on the left and all numbers on the right. First you must get rid of the three so to get rid of it you must take it away (a/5=8-3). = a/5=5. Then you want to have the a by itself and so divide by 5. (a=1)

Use the distributive property to identify the equivalent expression.

8x + 10

Answers

Answer:

36

Step-by-step explanation:

8squared+10=18

18x2=36

Answer:

ummmmmmmmmmmmmmmmmmmmmmmm

Please help with this as soon as you can. No idea how to do it so please help me.

Answers

Answer:

niether i think

Step-by-step explanation:

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