Solve the Equation. 20x + 12 ≥ 14x + 30 A. x ≥ 7 B. x ≤ 7 C. x ≥ 3 D. x ≤ 3

Answers

Answer 1

Answer:

x≥3

Step-by-step explanation:

Treat the ≥ symbol like it is an equals sign. First, subtract 14x from each side to get 6x+12≥30. Then, Subtract 12 from each side to get 6x≥18. I will let you solve the rest :)

Answer 2

Answer:

[tex]\huge\boxed{C.\ x\geq3}[/tex]

Step-by-step explanation:

[tex]20x+12\geq14x+30\qquad\text{subtract 12 from both sides}\\\\20x+12-12\geq14x+30-12\\\\20x\geq14x+18\qquad\text{subtract}\ 14x\ \text{from both sides}\\\\20x-14x\geq14x-14x+18\\\\6x\geq18\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}\geq\dfrac{18}{6}\\\\\boxed{x\geq3}[/tex]


Related Questions

how to find three-quarters of x

Answers

Answer:

3x/4

Step-by-step explanation:

Three quarters =3/4

3/4 of x = 3x/4

Answer:

3/4 times x

Step-by-step explanation:

of = multiply

4 quarters = 1 so subtract 1/4 quarter's and it equals 3/4 of x

Which of the following inequalities are true? 4 < -8 8 < -4 -8 < -4 -8 > -4

Answers

Answer: The third option is true, -8<-4

Step-by-step explanation:

Negative four is greater than negative eight because it is closer to zero on the number line

Which expression is equivalent to 3(3x + 8) ? A B С C D 9x = 21​

Answers

Answer: it would be D.

Step-by-step explanation: you'd multiply the 3 by the 3x then multiply the 3 with the 8.

Viola makes gift baskets for Valentine's Day. She plans to make 12 baskets each day. If there are 7 working days until the day she begins to sell the baskets, how many baskets will she have to sell?

Answers

Answer:84

Step-by-step explanation:

multiply the numbers

Answer:

84 baskets

Step-by-step explanation:

We know Viola plans to make 12 baskets each day to sell for Valentine's day. She is able to work for 7 days, giving her the oppertunity to make 84 baskets in the time period.

Here's the equation:

12 x 7 = 84

Viola can sell 84 baskets

Checked work:

84 ÷ 7 = 12

What is the approximate value of tan C?

Please help! Urgent!

Answers

Hey there! I'm happy to help!

Tan means tangent. The tangent is the ratio of the opposite side of the angle to the adjacent side of the angle.

If we look across from angle C, we see that the opposite side is 5.

The adjacent side is the one next to the angle, and it can't be the hypotenuse (the diagonal one). Our adjacent side is 13.

So, the tangent of C is 5/13, and we can divide these, giving us about D. 0.38.

Have a wonderful day! :D

Answer:

0.38

Step-by-step explanation:

took a p e x test

PLEASEEEEEE Which system of equations does not have a real solution? y = x 2 + 3 x - 5 and 4 x + 5y = 20 y = x 2 + 3 x - 5 and x + y = -10 y = x 2+ 3 x- 5 and x + y = -9

Answers

Answer:

[tex]\Large \boxed{y = x^2 + 3 x - 5 \ \ \mathrm{and} \ \ x + y = -10}[/tex]

Step-by-step explanation:

y = x² + 3 x - 5 and x + y = -10 are the system of equations that do not have a real solution.

When the two equations are graphed and if they do not intersect, then there are no real solutions for the system of equations.

Answer:

Step-by-step explanation:


Which step can you use to solve the equation 6z=48

Answers

Answer:

z=8

Step-by-step explanation:

6z=48

divide by 6

6z/6=48/6

z=8

Answer:

x=8

Step-by-step explanation: Divide six on both sides and that should give you 8 as your answer.

HELP ME PLEASE PLEASE HELP ASAP PLEASE

Answers

Answer:

X = [tex]\frac{L}{6\pi r }[/tex] - [tex]\frac{5r}{6}[/tex]  

Step-by-step explanation:

Your sock drawer has two white socks, four brown socks, and two black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot. Find the probability of this occuring.

Answers

Answer:

The probability of this occurring is 1/7

Step-by-step explanation:

Okay, here is a probability question.

From the question, we can identify the following;

Total number of socks = 2 + 4 + 2 = 8 socks

Since we are not given the order in which the socks was worn, we can assume any order.

Let’s say the right leg socks was worn first.

From the question, the socks on the right leg is a brown one.

So now let’s calculate the probability of selecting a brown socks out of the mix

That would be ;

number of brown socks/ total number of socks = 4/8 = 1/2

Now, for the left foot, we are having white sock here.

Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.

Now we need the probability of picking a white sock from the total 7. That would be ; 2/7

So the probability of both action occurring is simply the product of both probabilities and that is ;

1/2 * 2/7 = 1/7

what is the width?
2w + 2(w+6) = 84

Answers

Answer: w = 18

Step-by-step explanation:

2w + 2(w+6) = 84

Distribute: 2w + 2w + 12 = 84

4w + 12 = 84

4w=72

Solve for n
3n-2=2n
N=

Answers

Answer:

Hey there!

3n-2=2n

n-2=0

n=2

Let me know if this helps :)

3n - 2 = 2n

n =?

3n - 2n = 2

n = 2 ✔️

Find the number of positive divisors of 1470.

Answers

Answer:

1, 3, 17, 29, 51, 87, 493, 1479

Step-by-step explanation:

Divisors of number 1479: 1, 3, 17, 29, 51, 87, 493, 1479

Number of divisors: 8

Sum of its divisors: 2160

Answer: plz mark as brainliest

Step-by-step explanation:Here we will define what "the divisors of 1470" means and show you how to find the divisors of 1470.

First, note that in a division problem like x divided by y equals z, x is the dividend, y is the divisor, and z is the quotient as illustrated here:

Dividend / Divisor = Quotient

Divisors of 1470 are all the unique whole number divisors that make the quotient a whole number if you make the dividend 1470:

1470 / Divisor = Quotient

To find all the divisors of 1470, we first divide 1470 by every whole number up to 1470 like so:

1470 / 1 = 1470

1470 / 2 = 735

1470 / 3 = 490

1470 / 4 = 367.5

etc...

Then, we take the divisors from the list above if the quotient was a whole number. This new list is the Divisors of 1470.

The Divisors of 1470 are as follows:

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, and 1470.


Round the number 817.0863 to the nearest:
(a) hundreds
(b) hundredths
(C) 3.d.p
(d) 4 s.f
(e) Whole number​

Answers

Answer:

(a) hundreds = 817

(b) hundredths = 817.09

(c) 3 d.p = 817.086

(d) 4 s.f. = 817.1

(e) whole number = 817

At 12:00 P.M., the water pressure on a submarine is 435 pounds per square inch. Ffom
12:00 P.M. to 12:30 P.M., the water pressure increases 58 pounds per square inch.
From 12:30 P.M. to 1:00 P.M., the water pressure decreases 116 pounds per square
inch. What is the water pressure at 1:00 P.M.?
0 261 pounds per square inch
493 pounds per square inch
O -58 pounds per square inch
O 609 pounds per square inch
O

Answers

Answer:

[tex]\Large \boxed{ \mathrm{377 \ pounds \ per \ square \ inch} }[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds per square inch.

From 12:00 PM to 1:00 PM, the initial pressure increases by 58 pounds per square inch and then decreases 116 pounds per square inch.

⇒   435 + 58 - 116

⇒   377

Answer:

[tex]\huge\boxed{377 \ pounds / in.^2}[/tex]

Step-by-step explanation:

The initial pressure was 435 pounds / in.²

After that it increases by 58 pounds / in.²

So, it became

=> 435 + 58

=> 493 pounds / in.²

Then, it decreases by 116 pounds/square inch

=> 493 - 116

=> 377 pound / in.²

This is the final pressure.

factor the expression: -45x +40 expand the expression: 4w + 9( -6 - 3w)

Answers

Answer:

[tex]\large \boxed{\mathrm{view \ explanation}}[/tex]

Step-by-step explanation:

-45x + 40

Factor out 5 from the expression.

5(-9x) + 5(8)

Take 5 as a common factor.

5(-9x + 8)

4w + 9( -6 - 3w)

Expand brackets.

4w + 9(-6) + 9(-3w)

4w - 54 - 27w

Combine like terms.

4w - 27w - 54

-23w - 54

Answer:

Factor the expression

[tex] - 45x + 40 \\ = - 5(9x + 8)[/tex]

Expand the expression

[tex]4w + 9( - 6 - 3w) \\ 4w - 54 - 27w \\ = - 23w - 54[/tex]

hope this helps

brainliest plz..

5 3/4 divided by 1 and 1/2 ​

Answers

Answer:

0.25

Step-by-step explanation:

(3/4/1)-1/2

0.75-0.5=0.25

Answer:

5 3/4 divided by 1 1/2 is 3 5/6

Step-by-step explanation:

PLEASE ANYONE HEEELLLLPP.......I NEED HELP I DONT UNDERSTAND!!!

Answers

Answer:

[tex]\large \boxed{\mathrm{Option \ 4}}[/tex]

Step-by-step explanation:

The area has to be found for the floor.

The whole rectangle = length × width = x × (x-4), has an area of x(x-4).

The area x(x-4) has to be subtracted from the area of the stage and closet.

Area of stage = area of triangle : base × height × 1/2

(x-4) × 8 × 1/2

(0.5) × (8) × (x-4)

Area of closet = area of rectangle : length × width

(3) × (7)

The area of the floor = x(x-4) - 0.5(8)(x-4) - 3(7)

Answer:

i don’t understand it either

Step-by-step explanation:

For g(x)= (x+7)^2 + 6x determine the input of x when the output of g(x) =13

Answers

Answer:

x = -2 or -18.

Step-by-step explanation:

(x+7)^2 + 6x = 13

x^2 + 14x + 49 + 6x - 13 = 0

x^2 + 20x + 36 = 0

(x + 2)(x + 18) = 0

x = -2, -18.

If he pays $16.80 for one year. He receives one magazine each month for 12 months. Find the dollars he pays for each
magazine

Answers

Answer:

About $1.40 per each monthly magazine.

Step-by-step explanation:

16.80 / 12 = 1.4

A toy factory sold 120,587 toys in 25 days. If each toy was sold for $58, about how much money did the factory earn in 25 days? Estimate the answer by rounding off the number of toys to the nearest thousand.

Answers

Answer: $7,018,000

This value is a little over 7 million dollars

======================================================

Explanation:

120,587 rounds to 121,000 when rounding to the nearest thousand.

The instructions don't mention rounding 58, so we'll leave it as that

Multiply the values to get

58*121,000 = 7,018,000

which is the estimate of how much money was earned.

-----------

The actual amount of money earned is

58*120,587 = 6,994,046

which isn't too far off of our estimate.

-----------

Note: the value of 25 days is never used. You could have any other number of days you want, and the answer is still the same. This value is probably either filler or some kind of distraction.

1. Observa la imagen. Luego, responde las preguntas
.
a. ¿Qué molécula representa?​

Answers

Can you put the image ?

Mrs. Haddox is mailing a package that weighs 18.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces? 1 pound (lbs) = 16 ounces (oz) I GIVE BRAINLIEST PLZ

Answers

Answer:

296 ounces

Step-by-step explanation:

I used the formula "Multiply the mass value by 16"

Hope this helps:)

Answer:

296 is the total ounces it weighs

Step-by-step explanation:

Given g(x)=9x^2-5 and k(x) =3x-1, find g(x) + k(x)

A. 2x^2 +3x - 6
B. x^4 + 3x^3 - 6x^2 - 15x + 15
C. 3x - 6
D. 5x^2 - 6

Answers

I hope this helps you

Question wants sum of two functions

g(x) +k(x)

9x^2-5+3x-1

9x^2+3x-6

3(3x^2+x-2)

3(3x-2)(x+1)

the ratio of adults to children attending a new exhibit at the museum was found to be 8:5. based on this ratio if 390 people attended one day how many would be children

Answers

999

why becuase thats the answer mine had

Solve the equation
(If possible please show work)

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2(-x-4)+3=-7-4x[/tex]

First, distribute the left side:

[tex]-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x[/tex]

Add values on the left side:

[tex]2x+11=-7-4x[/tex]

Add 7 to both sides. The right side cancels:

[tex](2x+11)+7=(-7-4x)+7\\2x+18=-4x[/tex]

Subtract 2x from both sides. The left side cancels:

[tex](2x+18)-2x=(-4x)-2x\\18=-6x[/tex]

Divide both sides by -6:

[tex](-6x)/-6=18/-6\\x=-3[/tex]

Therefore, x equals -3.

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 2( - x - 4) + 3 = - 7 - 4x[/tex]

[tex]to \: get \: rid \: of \: the \: parenheses \: \\ distribute \: two \: through \: the \: parentheses[/tex]

[tex]2x + 8 + 3 = - 7 - 4x[/tex]

[tex]add \: the \: numbers \\ \\2x + 8 + 3 = - 7 - 4x \\ \\ 2x + 11 = - 7 - 4x \\ \\ move \: - 4x \: to \: the \: left - hand \: side \: and\: change \: its \: sign \\ \\ 2x + 4x + 11 = - 7 \\ \\ move \: constant \: to \: the \: right - hand \: side \: and \: change \: its \: sign \\ \\ 2x + 4x = - 7 - 11 \\ \\ 6x = - 18 \\ \\ x = - 3 \\ \\ \\ hope \: this \: helps \: [/tex]

MARNIE OUT!

:)

1. Solve for x, 5 (2x + 3) + 3 (x - 4) = 25 And one more question 2. The perimeter of a rectangle is 40m. The length of the rectangle is 4 m less than 5 times its breadth. Find the length of the rectangle.

Answers

Answer:

Step-by-step explanation:

1) 5(2x + 3) + 3(x -4) = 25

Use distributive property

5*2x + 5 *3 + 3*x - 3*4 = 25

10x + 15 + 3x - 12 = 25

Add like terms

10x + 3x +15 - 12 = 25

13x + 3 = 25

Subtract 3 form both sides

13x = 25 - 3

13x = 22

x = 22/13

x = [tex]1\frac{9}{13}[/tex]

2) Breadth = b m

Length = 5b - 4

Perimeter of rectangle = 40 m

2*(length + breadth) = 40    { Plug in the values of breadth & length}

2* (5b - 4 + b) = 40

2 * ( 6b - 4 ) = 40  

2*6b - 2 *4 = 40

12b - 8 = 40  { add 8 to both sides}

12b - 8 + 8 = 40 + 8

   12b = 48  { divide both sides by 12}

  12b/12 = 48/12

b = 4 m

Breadth = 4m

Length = 5*4 - 4 = 20 - 4 = 16 m        

Answer:

16cm

Step-by-step explanation:

5(2x+3) + 3 (x-4)= 25

10x+15+3x-12=25

(combine the like terms)

13x+3=25

13x= 22

x= 1 and 9/13

perimeter= 40m

length=5a-4

breadth=a

5a-4+a+5a-4+a= 40

12a-4-4 = 40

12a-8=40

12a= 48 a= 4cm

the breadth is 4cm, the length is 5×a-4= 20-4 =16cm

your welcome!

lf x+1/x=12 then find the value of x3+1/x3​

Answers

Answer:

Explanation:

First we find what x is:
x + 1/x = 12
x + 1 = 12x
1 = 12x - x
1 = 11x
1/11 = x
Or x = 1/11

Plug x value in x^3 + 1/x^3

(1/11)^3 + 1/(1/11)^3
= (1^3/11^3)+ 1/(1^3/11^3)
= (1/1331 + 1)/1/1331
= (1/1331 + 1331/1331)/1/1331
= 1332/1331 x 1331/1
= 1332/1
= 1332

Therefore, x^3 + 1/x^3 = 1332

What is the algebraic expression for the following word phrase: the sum of 7w and 5?
A. StartFraction 7 w over 5 EndFraction
B. 12w
C. 7 w minus 5
D. 7w + 5

Answers

Answer:

7w+5

Step-by-step explanation:

7w, and then the sum indicates an addition sign, so it becomes 7w+5

Answer:

7w+5

Step-by-step explanation:

sum means add

7w+5

A dog is tied to a fire hydrant with a 3 foot leash. Describe the shape of the area the dog can travel.

Answers

Step-by-step explanation:

The shape will be circle, and its area will be πr²

how do you calculate the area of this square which has two semicircles in it?

please help​

Answers

The area of the square is 100 square units because 10×10=100

The radius of a circle is half the length of the square. The radius is 5.

The 2 semi-circles added together actually equals a circle.

The area of a circle is π[tex]r^{2}[/tex].

5=r.

So [tex]5^{2}[/tex] equals 25.

The circle is 25π

So just subtract.

The area of the square with two semi-circles in it is (100 - 25π)

♡ Hope this helps! ♡

❀ 0ranges ❀

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Janice and Stephanie have been close friends for some time. When Stephanie recently lost her job, she couldn't afford her rent anymore and was on the verge of homelessness. Janice invited her to stay in her guest room for as long as needed. While there, Stephanie does some of the cooking for Janice and herself. According to equity theory, which of the following statements about this relationship scenario is true?a. Stephanie is currently over-benefited in their relationship.b. Stephanie is investing more effort in the relationship by cooking and cleaning.c. This relationship will survive a period of brief inequity as long as long-term equity is maintained.d. All of these are true. Jorge Company bottles and distributes B-Lite, a diet soft drink. The beverage is sold for 50 cents per 16-ounce bottle to retailers, who charge customers 78 cents per bottle. For the year 2014, management estimates the following revenues and costs.Sales $1,804,000 Selling expensesvariable $69,800Direct materials 428,000 Selling expensesfixed 65,800Direct labor 354,000 Administrative expensesvariable 64,920Manufacturing overheadvariable 310,000 Administrative expensesfixed 64,900Manufacturing overheadfixed 288,000 a. Prepare a CVP income statement for 2014 based on managements estimates.b. Calculate variable cost per bottle. (Round variable cost per bottle to 2 decimal places, e.g. 0.25.)c. Compute the break-even point in (1) units and (2) dollars. (Round answers to 0 decimal places, e.g. 1,225.)d. Compute the contribution margin ratio and the margin of safety ratio. (Round variable cost per bottle to 2 decimal places, e.g. 0.25 and final answers to 0 decimal places, e.g. 25%.)e. Determine the sales dollars required to earn net income of $240,852. (Round answer to 0 decimal places, e.g. 1,225.) Soft woods, such as pine and spruce, are not always easy to work with because __________ A. they resist cutting tools B. once exposed to air they start to harden C. they may splinter while being worked on D. none of the above Evaluate 5x3 - 21 + 7 when x = -2. please help :) Which of the following numbers is equivalent to 3.00510 to the 8 power? A. 30,050,000 B. 300,500,000 C. 3,005,000,000 D. 30,050,000,000 In an electrolytic cell, the magnitude of the standard cell potential is the:______a. minimum voltage that must be supplied for a redox reaction to occur b. maximum voltage that willallow the redox reaction to occur c. always equal to Eanode - Ecathode d. none of the above Which statements are always true regarding thediagram? Check all that apply.3OmZ3+ m 24 = 180AcoOnm2 + m 24+ m26 = 180m2 + m 24 = m 2527m21+ m2 = 90m24+ m26 = m22m22 + m 26 = m25 In Georgia: All children ___ years old or younger must be secured in the back seat and seated in an approved child restraint device when riding in a motor vehicle.a. 5b. 15c. 21 How many states were divided in the northwestern Indian during Alexander's invasion? Choose the best description for the real number 2.33663336663333666689...Irrational, because it is a terminating decimalO Rational, because it is a repeating decimalIrrational, because it is non-terminating decimalO Rational, because it is a terminating decimal People decide to save 25 percent of their incomes. The value of the marginal propensity to consume is ________ and the value of the spending multiplier is ________. when two pieces of cui or other unclassified information are posted online together or attached together in an email and result in disclosure or classified information this is known as Where do great qualities in leadership come from? If one cup of soy milk contains 4g total fat then how many grams of total fat are in 2 3/4 cups of soy milk Of the following solutions, which has the greatest buffering capacity?a. 0.365M HC2H3O2 and 0.497 M NaC2H3O2 b. 0.521 M HC2H3O2 and 0.217 M NaC2H3O2 c. 0.821 M HC2H3O2 and 0.713 M NaC2H3O2 d. 0.121 M HC2H3O2 and 0.116 M NaC2H3O2 Write the equation of a line through the two points in (-2,8) and (5,-1)What would be the slope of the line parallel to the line given in (-2,8) and (5,-1)What would be the slope of the line perpendicular to the line given in (-2,8) and (5,-1) ?PLEASE HELP ITS URGENT A portfolio has three stocks 110 shares of Yahoo (YHOO), 210 shares of General Motors (GM), and 100 shares of Standard and Poor's Index Fund (SPY). If the price of YHOO is $20, the price of GM is $20, and the price of SPY is $130, calculate the portfolio weight of YHOO and GM. Consider this expression.7m2 + (2m - 1)(m + 9)What expression is equivalent to the given expression?cm2 + m + Two point charges totaling 8 C exert a repulsive force of 0.15 N on one another when separated by 0.5 m. What is the charge on each? A. 4.0x10-6 C 4.0x10-6 C B. 7.4x10-6 C 0.6x10-6 C C. 6.6x10-6 C 1.4x10-6 C D. 5.0x10-6 C 3.0x10-6 C