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 coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?

Answers

1/2 for coin and 1/2 for dice(depends of 3 is included) or 1/3 since it’s less than 3 they just want 1,2 so 1/3

Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4

Answers

Answer:

[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Step-by-step explanation:

[tex]f(x)=3x^2 + 2x + 4[/tex]

[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]

[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]

Answer:

f(2) = 20

f(a+h) = 3a²+6ah+3h²+2a+2h+4

Step-by-step explanation:

f(x) = [tex]3x^2+2x+4[/tex]

A) Putting x =2

=> f(2) = 3(2)²+2(2)+4

=> f(2) = 12+4+4

=> f(2) = 20

B) Putting x = a+h

=> f(a+h) = 3(a+h)²+2(a+h)+4

=> f(a+h) = 3a²+6ah+3h²+2a+2h+4

The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?

Answers

Answer:

1/6

Step-by-step explanation:

out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances

[tex]\frac{1}{6}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]

Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]

Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes

Number of possible outcomes [tex]=1[/tex]

Total number of outcomes [tex]=6[/tex]

Probability of rolling a [tex]6=\frac{1}{6}[/tex]    

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What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *

Answers

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)

what is the degree measure of an angle that measures 4.5 radians​

Answers

Answer:

257.8°

Step-by-step explanation:

rad × 180/π =  °

4.5*180=810

810/π=257.8

257.8 or 810:pi
It’s the radius (4.5) times 180 which equals 810 degrees

Half of a number plus three
times the number.

Write it in expression or equation solve the equation

Answers

Answer:

Step-by-step explanation:

IS MY ANSWER CORRECT?!

-- I'm thinking it's 36 If its wrong. --

Answers

Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

I don’t understand this question & I need to turn this in today.

Answers

Answer:

see below

Step-by-step explanation:

The blue graphs had 2 real solutions since it crosses the x axis twice

The yellow graph has no real solutions since it does no cross the x axis

The red graph has one solutions since it touches the x axis

Which of the following is the measure of an acute angle?
A. 126
B. 86°
C. 90°

Answers

Answer:

b

Step-by-step explanation:

an acute angle is an angle that is smaller than 90 degrees.

if the angle is exactly 90 degrees, then it is a right angle.

anything larger than 90 degrees is considered to be an obtuse angle.

Hope this helps for other questions like this as well!

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

The types of angles are as follows:

If the measure of the angle is less than 90°, then the angle is an acute angle.

If the measure of the angle is equal to 90°, then the angle is a right angle.

If the measure of the angle is greater than 90°, then the angle is an obtuse angle.

Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.

More about the angled link is given below.

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Help I don’t understand the concept

Answers

Answer:

C. No, because one x-value corresponds to two different y-values

Step-by-step explanation:

An x-value cannot have two y-values. Hope this helps!

Answer:

c ) No because one x-value corresponds to two different y-values

Step-by-step explanation:

Every X needs to have one y value

let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)

Answers

Answer:

Step-by-step explanation:

(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].

This is, you first calculate g(-5) and then h [ g (-5) ].

So, g ( -5) = 2 * ( - 5) = - 10

And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.

A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?

Answers

Answer: 2.25 km

Step-by-step explanation:

2 cm = 0.5 km

9 cm = (9 x 0.5)/2

= 2.25 km

Answer:

2.25 km

Step-by-step explanation:

Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map

2cm=0.5km

9cm=?

(9cm×0.5km)÷2cm

4.5km(cm)÷2cm2.25 km

NOTE: since the cm are the same they will cancel each other out in the division stage

The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6

Answers

Answer:

- 6

Step-by-step explanation:

[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]


y = 2x + 4
y = -x + 1

What is the solution to the system of equations?

A. (-1, 2)

B. (-1, 1)

C. (-2, 0)

D. (0, 1)

Answers

The answer is (-1 ,2)

What is the equation of the graphed line written in standard form?


A. x=-3

B. y=-3

C. x+y=-3

D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)

Answers

The answer should be A

The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?

PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT

15 POINTS

Answers

Answer:

-16

Step by Step Explanation:

-7 and -8 are consecutive integers.

-7+-8=-15

Add 1 to -7 and you get -6.

Subtract 2 from -8 and you get -10.

-10+-6=-16

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,

x + (x+1) = -15

2x + 1 = -15

2x = -16

x = -8

Thus, the smaller integer is -9 and the larger integer is -8.

Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.

Smaller Interger = -9 + 1 = -8

Larger Integer = -8 - 2 = -10

Further,  the product of the two resulting integers is,

Product = -8 × -10

             = 80

Hence, the product of the two resulting integers is 80.

Learn more about Multiplication:

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Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?

Answers

Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112

Step-by-step explanation:

Step-by-step explanation:

Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)

We can Infer that each year afterwards it will do so.

So 1 year from now 28+28 = 56

2 years from now 56 + 56 = 112

And finally at 3 years 112+112 we arrive at our answer 224

Answer: So it would take 3 years to get to get to 224

calculate 16% of £50

Answers

Do 50 x 0.16 Which is 8. 50-8 =£42.00
10% of £50= £50 divided by 10 = £5
1% of £50= 10% divided by 10 (£5 divided by 10) = 0.5 which is 50p.
50p x 6 = £3
6%=£3 and 10%=£5
£5+£3=£8 so the answer is £8

A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold.
A. 18 tickets cost and 52 cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10

Answers

Answer: A = $804 18 tickets cost $10 and 52 cost $12

Step-by-step explanation:

A = $804 18 tickets cost $10 and 52 cost $12

B = $736

C = $830

D = $170

Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?

Answers

Answer:

The mean

Step-by-step explanation:

Answer:

the answer is option a) the mean

Step-by-step explanation:

simplify square root of 5 times square root of 8

Answers

Answer:

6 sqrt(5) - 4 sqrt(15)

Step-by-step explanation:

sqrt(5) ( ( 6 - 4 sqrt(3))

Distribute

6 * sqrt(5) - 4 * sqrt(5) sqrt(3)

We know sqrt(a) sqrt(b) = sqrt(ab)

6 sqrt(5) - 4 sqrt(15)

Answer:

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]

[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]

[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]

[tex]6\sqrt{5}-4\sqrt{15}[/tex]

Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY

Answers

Answer:

We cannot have a single point of solution

Step-by-step explanation:

When the boundary lines are parallel, we can have no solution,  or infinite solutions.  We cannot have a  single point of solution

Answer:

I believe there is no single solution

The table below shows the weekly change in the price of one gram of gold for four weeks.

By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?

Answers

Answer:

I mean it changed by .25

Step-by-step explanation:

Im not sure if youre asking for the median or the price difference?

A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.

To know his real phone number, he gave the student the following conditions:

1. Eight (8) must come between two zeros (0's).

2.The first number after the first condition is met must not be an odd number and it must be greater than 5.

3. The seventh number must be 1.

4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.

5. The fifth and sixth numbers are greater than 2.

6. The ninth and tenth numbers are the same.

7. The eighth number is greater than the last number.

8. The phone number must be 11 digits.

What was the Professor's real phone number?​

Answers

Answer:

I found 608054144112

If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one

A.75/1 dollars per daythe cost $75 for each day.

B.1/25 dollars per day; the cost is $25 for each day.

C.1/150 dollars per daythe costs $1 for 150 days


D.25/1 dollars per daythe cost is $25 for each day

Answers

Answer:

D

Step-by-step explanation:

Count by 25. Its a no-brainer honestly.

D cause it can be and it’s the easy way to do it I’m not gonna lie to you

8.) The distance from Caleb's house to his school is 15 miles. What
is the distance in feet?
0.) 1760 feet
b.) 2640 feet
C.) 5280 feet
d.) 7920 feet​

Answers

Answer:

I think the answer would be 79200 feet as 1 miles = 5280 feet

traductor de español

¡Hola! La siguiente descripción dice que el hogar de Caleb para su escuela es de 15 millas. La pregunta pregunta cuántos pies hay en 15 millas

Respuesta: 79.200.

Razonamiento: El razonamiento para esto es que 1 milla es 5280 pies. Cuando descubras que puedes multiplicar esto por 15 obtendrás 79200

Prueba: 5280

        x 15

___________

         79200

__________________________________

English Translator

Hello! the following description says that Caleb's house to his school is 15 miles. The question asks how many feet are in 15 miles

Answer: 79200

Reasoning: The reasoning to this is that 1 mile is 5280 feet. When you find out that you can multiply this by 15 you would get 79200

Proof: 5280

        x      15

___________

         79200

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

80 degrees

Step-by-step explanation:

180-100=80 degrees

Answer:

[tex]80 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line = 180°

Let the ACE angle be x

Given that

ACD angle =100°

[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Does anyone know how to find the area ?

Answers

Answer:

To find the area of a shape, multiply the sides. Hope this helps! ;)

Answer:

YES!

Step-by-step explanation:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Thomas has two kittens. He records the
mass of one kitten as 2.2 kilograms and
the mass of the other kitten as 1,890 grams.
What is the total mass of the two kittens
in kilograms? (1 kilogram 1,000 grams)

Answers

Answer:

4.09

Step-by-step explanation:

Answer:

4.09

Step-by-step explanation:

change 1890 to kilograms

1890/1000= 1.89

add both weight = 1.89+2.2

4.09

solve for x and y
help please!!

need step by step explanation.
will give the brainliest!!​

Answers

Answer:

x=4, y=10

Step-by-step explanation:

(x+2)/3= (y-2)/4= (y-x)/3

x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10

Answer:

The value of x is 2 and y is 10.

Step-by-step explanation:

First, you have to do cross multiplications of any 2 fractions :

1st equation,

[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]

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

[tex]4x + 8 = 3y - 6[/tex]

2nd equation,

[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]

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

[tex]4y - 4x = 3y - 6[/tex]

Next, you have to solve the simultaneous equation by elimination :

[tex]4x - 3y = - 14 - - - (1)[/tex]

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

[tex](1) + (2)[/tex]

[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]

[tex] - 2y = - 20[/tex]

[tex]y = 10[/tex]

[tex]substitute \: y = 10 \: into \: (1)[/tex]

[tex]4x - 3(10) = - 14[/tex]

[tex]4x - 30 = - 14[/tex]

[tex]4x = - 14 + 30[/tex]

[tex]4x = 16[/tex]

[tex]x = 4[/tex]

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