-Write a real-world situation that could be represented by the equation 12.5x + 30 = -7.5x + 90.5.

What does the variable represent?​

Answers

Answer 1

Answer:

Imagination

Step-by-step explanation:

12.5x + 30 = -7.5x + 90.5.

12.5x + 30 = -7.5x + 90.5.

20x =60.5

x = 3 1/5

The sales from a music event comes from x tickets sold, at $12.50 a ticket, plus a rental income fee of $30 for an advertising billboard behind the stage.

The cost of the performance includes a musician's fee of $7.50 per ticket sold, plus a $90.5 rental fee for the stage.

The equation will tell us the number of tickets, x, that must be sold to break even (Inclome on the left and expenses on the right).

We need to sell at least 3 1/5 tickets to break even.  It's going to be close.

Answer 2

The equation 12.5x + 30 = -7.5x + 90.5  used to determine the point in time (number of weeks) at which their combined savings and spending will equal the cost of the trip.

The equation 12.5x + 30 = -7.5x + 90.5 could represent their financial situation.

The variable "x" represents the number of weeks they have been saving money.

The term 12.5x represents the total amount of money Friend A has saved over "x" weeks at a rate of $12.5 per week.

The term -7.5x represents the total amount of money Friend B has spent over "x" weeks at a rate of $7.5 per week (which is subtracted since it's being spent).

The constants 30 and 90.5 represent initial savings and the total funds needed for the trip, respectively.

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Related Questions

Which of the following ordered pairs are solutions to the system of equations below?


Answers:
A.) (3.5, 5.8)
B.) (3.5, -5.8)
C.) (-3.5, -5.8)
D.) (-3.5, 5.8)

Answers

The answer is B. 3.5, -5.8

I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?​

Answers

100 cm= 1 meter 1,000 cm=meter
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.

The table shows the prices for fruit items at a local farmer’s market. Katelyn purchased four pounds of apples, six navel oranges, two mangoes, and three watermelons. The farmer’s market charged a convenience fee of $3 per order. Katelyn paid with a $50 bill.

Fruit Price List
Item Price
Crispy Apples $1.79 (per pound)
Navel Oranges 4 for $5.00
Mango $1.50 each
Watermelon $5.99 each

How much change should Katelyn receive from the $50 bill?
F.$11.37

Answers

The change Katelyn should receive from the $50 bill is $11.37.

The first step is to determine the total cost of the purchase.

Total cost of the 4 pounds of apples = $1.79 x 4 = $7.16

Total cost of six navel oranges = ($5 / 4) x 6 = $7.50

Total cost of  two mangoes = $1.50 x 2 = $3

Total cost of three watermelons = $5.99 x 3 = $17.97

Total cost of the fruits = $35.63

Total cost of the order = $35.63 + $3 = $38.63

Change = $50 - $38.63 = $11.37

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3. The sum of the second term and the ninth term of an arithmetic sequence is -5. The sum of the third and fourth terms of the same sequence is 7. Find the first term of the sequence.

Answers

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

HELP!!! WILL MARK BRAINLIEST!!! +15 POINTS!! REAL ANSWERS ONLY PLEASE!

Answers

Answer:

3rd option

Step-by-step explanation:

Answer:

it's the first option (x ≥ -4)

Step-by-step explanation:

Domain refers to the x range, which is the horizontal line. As we can that the point last touches from the left is -4 and it is a colored circle so that means that there is a line underneath. Then, it goes right so that means that x is larger and/or equal to -4.

x ≥ -4

easy problem nice about of points

Answers

Answer:

1

Step-by-step explanation: i am not sure

Plz help!!!! Find the equation of the linear function represented by the table below in slope intercept form

Answers

Answer:

y=-5x+2

Step-by-step explanation:

rise/run

or

y2-y1/x2-x1

-8-(-3)/2-1

-8+3/2-1

-5/1=m=slope

Slope intercept formula:y=mx+b

use point (1,-3)

-3=-5(1)+b

-3=-5+b

+5 +5

2=b

Final Answer: y=-5x+2

Find the measure of the missing angle

Please help me, I’ll give you points

Answers

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

Answer:

∠A = 28°

Step-by-step explanation:

Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.

=> 62 + ∠A = 90°=> ∠A = 90 - 62=> ∠A = 28°

Conclusion:

Therefore, the measure of the missing angle is 28°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Compute the fare without tip: 4 passengers, 20 miles.


$57.50


$59.70


$56.40


$58.60

Answers

I had this question earlier, and if I remember correctly the answer was 56.40

SOMEONE HELP ME WITH THIS ASAP FOR BRAINLIEST THANK YOU!

Answers

Answer:1. (1,2)    2.(-1,0)

Step-by-step explanation:

1.  5x-4(-3x+5)=3  x=1             2. 3(2y-1)-2y=-3    y=0                                                  

y=-3x1+5    y=2 Plug them in                       X=2x0-1            x=-1       plug them in                

700 people attended a football game. If 20% of the people who attended were teenagers, how many teenagers attended the game?

Plz. Helppp me what the answer???

Answers

700=100%
700/10=70
70=10%
70x2=140
140=20% :))

You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable​

Answers

Answer:

Step-by-step explanation:

If x represents your age then the age of your elder brother

is x + 5 years.

Answer:

Your age = y

So the variable expressing the age of your elder brother would be y + 5 (years).

Hope that helps?

One number exceed another by 11, the sum of the two numbers is 5. What are the numbers?​

Answers

Answer:

The first number is -3, the second number is 8

Step-by-step explanation

Let x = the first number

exceeded means add, so the second number is x+11

sum means add, so the equation is x+x+11=5

combine like terms to get 2x+11=5

subtract 11 on both sides, 2x=-6

divide by 2 on both sides, x= -3

second number was x+11, so -3+11 = 8

Auto replacement insurance covers the full cost of auto repairs or the cost of a new vehicle.

T or F

Answers

Answer: True

Step-by-step explanation:

-34 = -8 + 9(b + 4)
What is the value of the variable?

Answers

Hi, here’s what I did
First switch sides
-8+9(b+4) =-34
Then add 8 to both sides
-8+9(b+4) +8 =-34+8
Then simplify
9(b+4) =-26
Divide both sides by 9
9(b+4) over 9 = -26 over 9
Simplify
B+4 =-26 over 9
Subtract 4 from both sides
B+4-4=-26/9 (over 9) -4
Simplify and get -62/9 (over 9)
Hope this helps :)

16 and -10 are the solutions to which one of the fol-
lowing equations?
A. |x-2|= 14
B. |x-2|= 8
C. |x+2|= 12
D. |x-3|= 13
E. |x+3|=13

Answers

The answer is D!
(x-3)+3 = (13)+3 = 16
(x-3)+3 = (-13)+3 = -10

The ground temperature at an airport is 14 "C. The temperature decreases by 6.2 "C for every increase of 1 kllometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?​

Answers

Answer:

-17 C

Step-by-step explanation:

14 - 5(6.2) = 14 - 31  = -17 C

What is the volume of the prism?
cubic units

Answers

You my 5+5 bc ~+34=7
21 because 7x3 is 21

Find the difference of (4.2 x 103) - (2.7 x 103) Show work.
-

Answers

Answer:

154.5

Step-by-step explanation:

just inputed the equation in desmos.

Answer: 154.5

Step-by-step explanation:

4.2*103=432.6

2.7*103=278.1

432.6-278.1=154.5

A man has 25 sweets and his son has 55 sweets.find the number of sweets that the man has to give to his son so that his son would have 4times as many sweets as him.

Answers

Sweets man has to give is x
Man's sweets = 25 - x
The boy's sweets = 55 + x
This number is 4 times

55 + x = 4(25 - x)
55 + x = 100 - 4x
55 - 100 = -4x - x
-45 = - 5x
45 ÷ 5 = x
6.67 = x
6.67 ≈ 7
the man gives 7 sweets to the son so the son would have 4 times as much as the father

Answer:

9sweets

Step-by-step explanation:

sweets man has to give to his son=x

mans sweets=25-x

child's sweets=55=x

55+x=4(25-x)

55+x=100-4x

4x+x=100-55

5x=45

x=45/5

x=9

Answer: The man has to give nine sweets for his son to have four times as many sweets as him.

7363626x726=???? Helpppppp

Answers

Answer:

The answer is 5345992476

Step-by-step explanation:

This weekend, Jerome earned $252.50 in all. What was the dollar amount of the meals that Jerome served?

Answers

Answer:

Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.

I need helppp pleaseee

Answers

Answer:

One solution

Step-by-step explanation:

Start by simplifying the equation.

Distribute 3 to 4 and 2 to get 12x + 6Combine 8x and -2x to get 6x

Then you have 12x + 6 = 6x + 24,

Continue to solve

Subtract 6 from the left and right to get 12x = 6x + 18Subtract 6x from both sides to get 6x = 18Divide both sides by 6 to get x = 18

Because x is equal to one digit and not x = x or 3 = 5, you have one solution

                                                            (Infinite) or (none)

Hope this helps!

The diameter of a circle is 8 mm. What is the circumference of the circle?

Answers

Answer:

C=22÷7×8

=3.14×8

=25.12

The swimming team has competed in 45 races this season. They have won 30 races so far. How many races will the team need to win today for the team to have a 75% success rate? 8 10 12 15.

Answers

The number of races the team need to win today for the team to have a 75% success rate is 15

Number of attempt = 45

Number of winnings = 30

Percentage won so far = 30/45 × 100

= 66.67%

let

x = Number of races that tfe team needs to win to have 75% success rate

(30 + x) / (45 + x) = 0.75

Cross product

30 + x = 0.75(45 + x)

30 + x = 33.75 + 0.75x

x - 0.75x = 33.75 - 30

0.25x = 3.75

x = 3.75 / 0.25

x = 15

Therefore, the number of races the team need to win today for the team to have a 75% success rate is 15

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PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer: 4 - 2g

Explanation: The order of operations is distributive property so think of it as
(1/2 • 8) - (1/2 • 4g) Also just think of dodging 8 and 4 by two since 1/2 in a number format is .5 and 8 mutuales by .5 is 4 and 4 is 2.

Hope this helps!

Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links

Answers

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

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help ASAP please hmmmm​

Answers

Answer:

I’d go with number 2 and number 4.



RS= 6x-8

UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Answers

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

If f(x)=-4x+1, what is f(-x/2)?

Answers

Answer:

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

Step-by-step explanation:

[tex]f(x)=-4x+1[/tex]

[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]

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

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