Which of the following real-world problems can be modeled with the inequality 384+2x<6x
384
+
2
x
<
6
x
?

Marta charges a flat fee of $384 plus $2 per linear foot to decorate tables for a quinceanera. Carla charges $6 per linear foot to do the same. For what number of linear feet, x, will the cost of both decorators be the same?

Shawna has made 384 campaign buttons for the student council election. She plans to make 2 more buttons each hour. Marguerite plans to make 6 campaign buttons per hour. For what number of hours, x, will Shawna have the same amount of campaign buttons as Marguerite?

Super Clean house cleaning company charges $384 to power wash a house plus $2 per linear foot. Power Bright charges $6 per linear foot and no flat fee. For what number of linear feet, x, will the cost of Super Clean be more expensive than Power Bright?

Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?

Answers

Answer 1

Answer: Gym problem (fourth option)

Step-by-step explanation:

Hi, to answer this question we have to analyze the options given.

For the first option the equation is:

384+2x=6x

Because the problem asks for a solution where both costs are equal.

For the second option the equation is :

384+2x = 6x

Because the problem asks for a solution where both amounts are equal.

For the third option the inequality is:

384+2x>6x

Because the problem asks for a solution where the first cost is more expensive than the second cost.

For the fourth option (gym problem) the inequality is:

384+2x< 6x

Because the problem asks for a solution where the second cost (super gym) is more expensive than the first cost (mega gym).

This option is the correct one.

Feel free to ask for more if needed or if you did not understand something.  


Related Questions

A. 5pi/6
B. 8pi/6
C. 3pi/6
D. 13pi/6

Answers

Answer:

Step-by-step explanation:

11. The x-intercept of the line 2x + 3y – 36 = 0 is:

Answers

Answer:

(18,0)

Step-by-step explanation:

2x + 3y – 36 = 0

The x intercept is when y = 0

Solve for x

2x + 3*0 – 36 = 0

2x +0 -36 = 0

2x -36 =0

Add 36 to each side

2x-36+36 = 36

2x = 36

Divide each side by 2

2x/2 = 36/2

x = 18

Answer:
The x-intercept of the line 2x + 3y - 36 = 0 is (18, 0)

Explanation:
Graph 2x + 3y - 36 = 0 and find the x-intercept.

write a^4*a^2 without exponents

Answers

Answer:

a x a x a x a x a x a

Step-by-step explanation:

a^4 x a^2

a x a x a x a times a x a

= a^6 or a x a x a x a x a x a

Axaxaxaxaxaxaxaxaxaxax

What is the height of the pyramid??

Answers

8 times 9 divided by 2 the answer is 36

I need help on #5 on my summer packet my teacher never taught me this and I need help.

Answers

Answer:

c

Step-by-step explanation:

it can only be 0-9 that is in standard form- one digit then a decimal point

can u pls mark as brainliest?

Answer:

c

Step-by-step explanation:

hope that helps

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T. Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l? Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m. Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.

Answers

Answer:

The answer is B on Edge

Step-by-step explanation:

Answer:( B)Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Step-by-step explanation:

The value of x in 5(8+x)=20

Answers

Answer:

x = -4

Step-by-step explanation:

5(8+x)=20

Divide each side by 5

5/5(8+x)=20/5

8+x = 4

Subtract 8 from each side

8+x-8  = 4-8

x = -4

The right answer is -4.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates. Eight of the candidates are members of the debate team.
​(a) What is the probability that all of the offices are filled by members of the debate​ team?
​(b) What is the probability that none of the offices are filled by members of the debate​ team?

Answers

Answer:

The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Step-by-step explanation:

The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.

So, Number of candidates required = 4

Total number of candidates = 15

Number of candidates which are members of the debate team. = 8

So, Number of candidates which are not the members of the debate team = 15-8 =7

The probability that all of the offices are filled by members of the debate​ team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]

The probability that none of the offices are filled by members of the debate​ team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]

Hence The probability that all of the offices are filled by members of the debate​ team is 0.0512 and the probability that none of the offices are filled by members of the debate​ team is 0.0256

Which expression is equivalent to x^2-10x+24

Answers

Answer:

(x-4)(x-6)

Step-by-step explanation:

By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.

4(2+a)=24 what is the answer

Answers

Given:

4(2 + a)= 24

Use Distributive Property:

8 + 4a = 24

Subtract 8 to both sides:

4a = 16

Divide 4 to both sides:

a = 4

Answer:

A = 4

Step-by-step explanation:

Assuming the question is asking what a is, then all you have to do is follow a few steps to get the right answer.

1) Use the distributive property to simplify the first part of the equation.

4(2+a) distribute the 4 to what is within the parenthesis, so multiply 4 to what is in the parenthesis. P.S: This also gets rid of the parenthesis.

(8 + 4a)

2) Now your equation looks like 8 + 4a = 24. Now, use inverse operations to isolate a. Inverse operations are basically using the opposite signs and processes to get some parts of an equation to another side.

2a. Subtract 8 from both sides of the equation:

8 + 4a - 8 = 24 - 8.

So now you have 4a = 16.

2b. Divide 4 from both sides of the equation.

4a/4 = 16/4

So now you have a = 4.

Final answer:

A = 4

(URGENT)Which summation formula represents the series below?
13 + 9 + 5 + 1
Σ-4n+1)
Σ-47-15)
Σ(n-4)
Σ(n-4)​

Answers

Answer:

Σ-47-15)

Step-by-step explanation:

Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

The series can be written as:

13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)

= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)

= Σ(n-4) from n=1 to 4

Therefore, the summation formula that represents the series is Σ(n-4).

To learn more on Sequence click:

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The graphs below have the same shape. What is the equation of the blue
graph?

g(x) =

O A. g(x) = (x+4)2 - 3
O B. g(x) = (x - 42 - 3
O C. g(x) = (x – 4)2 + 3
O D. g(x) = (x+4)2 + 3

Answers

Answer:

A

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then the graph of f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here f(x) has been shifted 4 units left and 3 units down, thus

g(x) = (x + 4)² - 3 → A

95 points!
The scatter plot shows the relationship betweeen the number of hours students spend watching television and the numer of hours they spend with family each week.

What is the y-intercept of the line of best fit and what does it represent?
11.5 hours; the number of hours students spend with family in a week when they do not watch television
9.2 hours; the number of hours students watch television in a week when they do not spend time with family
9.2 hours; the number of hours students spend with family in a week when they do not watch television
11.5 hours; the number of hours students watch television in a week when they do not spend time with family

Answers

9.2 hours; the number of hours students watch television in a week when they do not spend time with family

Step-by-step explanation:

We are given,

The x-axis represents the time spent with family and the y-axis represents the time spent on watching television.

Now, y-intercept is the point where the scatter plot crosses y-axis.

From the scatter plot and and according to the options, the data point is located at x= 0 and y= 9.2.

That is, the y-intercept represents that students watched television for 9.2 hours when they do not spend time with their family.

I got 9.2 with family

The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.​

Answers

Answer:

4

Step-by-step explanation:

just because i just took it

The sum of 3c2d3 + (-5c2d3) + 10c2d3 is

Answers

Answer:

8c to the pwr of 2 d to the pwr of 3

Step-by-step explanation:

i think

Answer: To find the SUM of this expression, you end up with 8c^2*d^3. (Vote me brainliest please)

Classify the triangle by its angles and by its sides


Right isosceles
Acute scalene
Acute isosceles
Obtuse isosceles

Answers

Answer:

Acute isoceles

Step-by-step explanation:

Two base angles of the triangle are equal making it isosceles

The top angle is less than 90° making it an acute angle

Which function has zeros at x = 3 and x = 7?

Answers

Answer:

f(x)= (x-3)(x-7)

Step-by-step explanation:

f(x) = x2 - 10x + 21

Sara went on a diet and reduced her daily calories from 2,000 to 1,400. By what percent did she reduce her daily calories?

Answers

Answer: 30%

Step-by-step explanation:

Difference is (2000 - 1400) = 600

%age reduction 600/2000 x 100 = 30%

−7/8 −(−5/6) ​ in simplest form

Answers

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

Find the equation of the line passing through the point (1,−5) and perpendicular to

y= 1/8x +2

Answers

Answer:

y=-8x+13

Step-by-step explanation:

you flip the m value

then you plug in the point (1,-5) to find b (y-intercept)

then you get 13.

The equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

What is slope of line?

Slope of line is defined as the angle of line. It is denoted by m.

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Let the equation of line : y = mx + c

Given that, the line passing through the point (1,−5) and

The line perpendicular to y = 1/8x +2

To determine the slope of the perpendicular line,

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line that is perpendicular to the given line is

m×1/8 = -1

m = -8

Substitute the value of slope m in the first equation,

y = -8x + c

To determine  the equation of the line, substitute the found slope (-8) and the point (1,−5) into the point-slope form of a linear equation:

5 = -8(1) + c

-5 = -8 + c

c = -5 + 8

c = 3

So, the required equation of line : y = -8x + 3

Hence, the equation of the line is y = -8x + 3 passing through the point (1,−5) and perpendicular to y= 1/8x +2.

Learn more about Slope of Line here:

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What is the area of this triangle?

PLSSS I WILL GUVE YOU THE POINTS

Answers

Answer:

12

Step-by-step explanation:

12

Step-by-step-explanation

pls help i give brainliest and 5 stars​

Answers

Step-by-step explanation:

Explanation:

The formula for volume of a sphere is:

V=43πr3

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

2304π=43πr3

We can cancel π from each side.

2304=43r3

Multiply both sides by 34.

2304×34=34×43r3

2304×34=34×43r3

2304×34=r3

5762304×34=r3

576×3=r3

To find the cube root, we separate the factors of the number on the left.

3⋅3⋅3⋅4⋅4⋅4=r3

(3⋅4)(3⋅4)(3⋅4)=r3

12×12×12=r3

12=r

Since the radius (r) is 12, the diameter, which is 2r, will be:

2×12=24

Show and explain why 6 is not a solution to the inequality below.
2x - 9 ≥ 5

Answers

Answer:

x ≥ 7

Step-by-step explanation:

2x -9 ≥  5

          +9

      x ≥  14

           14/2

             =7

        x ≥ 7

Joshua has a rectangular vegetable garden with the dimensions shown below. If he doubles the length and width of the garden, how will the area of the new garden compare to the area of the original garden?

Answers

4500000000 and 55 thousand dollars

Classify the triangle by its angles and by its sides.

Answers

I mean it’s an acute triangle since all the angles are less than 90 (idk if that helps)

Answer:

Acute and Scalene.

Step-by-step explanation:

By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.

By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.

Hope this helps!

What is the scale factor used to
enlarge an 8" by 10" original
photo to a 16" by 20" image?
A. 2
B. 2.5
C. 0.5
D. 1.6

Answers

Answer:

!!B!!

Step-by-step explanation:

What is the scale factor used to

enlarge an 8" by 10" original

photo to a 16" by 20" image?

A. 2

B. 2.5....is the answer

C. 0.5

D. 1.6

I hope it helps.

Answer:

A

Step-by-step explanation:

8x2= 16   10x2=20

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?

The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.

Answers

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:

RectangleSquarerhombus

A line of symmetry is a line that divides a shape such that they become mirror images of each other.

Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).

Learn more here: https://brainly.com/question/19670823

Simplify the ratio 9/12 by dividing both the numerator and denominator by the greatest common factor of 3

A) 1/4

B) 1/2

C) 3/4

D) 4/3 ​

Answers

Answer:

Option C

Step-by-step explanation:

9/3=3

12/3=4

so, the answer is 3/4

Option C

Answer:

Think of it as 9 / 3 = 3

                       12 / 3 =  4      

so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1

Hope this helps                    

Step-by-step explanation:

25 pints= gallons? pints?

Answers

Answer:

3.125 gallons

Step-by-step explanation:

25 pints could be converted to about roughly 3.125 gallons.

A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.

Answers

Answer:

3 stacks of 4 reams= 12 reams

Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.

First option is 5+5= 2 stacks of 5/5 reams.

2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other  which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box

Second option is 2+3+3+2 = 4 stacks of  2/3/3/2 reams

Third option is  3+4+3= 3 stacks of 3/4/3 reams

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Immediately prior to the acquisition, Pickup reported total assets of $600,000, liabilities of $370,000, and stockholders equity of $230,000. At that date, Sedan reported total assets of $500,000, liabilities of $300,000, and stockholders equity of $200,000. Included in Sedans liabilities was an account payable to Pickup in the amount of $50,000, which Pickup included in its accounts receivable.Based on the preceding information, what amount of total assets did Pickup report in its balance sheet immediately after the acquisition?a. 1,100,000b. 1,000,000c. 800,000d. 1,600,000 HELP!!!!!!!!!!!!!!!!!!!!!! D. Answer the following questions in one word or a single sentence.1. The metal foil used for wrapping food is made up of which metal2. Which metal is used in thermometers?3. Which non-metal is essential for breathing?4. What is the alloy of iron, nickel and chromium known as?5. Name the gas released when metals react with acids. Why does no one answer my questions in Brainly? 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