Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.

Answers

Answer 1

Answer:

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200


Related Questions

salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school ​

Answers

Answer:

So how many he has left to do???

I think Salim has to finish 5 more problems

Step-by-step explanation:

1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2

Answers

Answer:

x = 2

y = 4

or (2 , 4)

Step-by-step explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

[tex]3x-2 = x+2\\[/tex]

Now we can solve x.

[tex]3x= x+4\\[/tex]

[tex]2x = 4\\[/tex]

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

[tex]y = 2 + 2\\[/tex]

y = 4

Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.
P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?

A) 1.00
B) 0.55
C) 0.10
D) 0.45

Answers

Answer:

B) 0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Step-by-step explanation:

Explanation:-

 Given  Event A and Event B are mutually exclusive.

  Given data P(A) = 0.45

                     P(B) = 0.35

                     P(C) = 0.25

The probability of the complement of Event A

                   P( A⁻ ) = 1 - P( A)

                              =  1 - 0.45

                              = 0.55

Final answer:-

The probability of the complement of Event A = 0.55

   

The probability of the complement of Event A is equal to  0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Given  Event A and Event B are mutually exclusive.

 We have given data P(A) = 0.45

                    P(B) = 0.35

                   P(C) = 0.25

The probability of the complement of Event A.

What is the formula for the compliment of the event?

P( A⁻ ) = 1 - P( A)

Use the given value in the above formula we have,

=  1 - 0.45

= 0.55

The probability of the complement of Event A is equal to 0.55.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ5

 

If f(x)= x2 + 7; Find x if f(x)= 23

Answers

Answer:

x = 4, -4

Step-by-step explanation:

f(x)= x^2 + 7

f(x) =23

23 = x^2+7

Subtract 7 from each side

23-7 = x^2 +7-7

16 = x^2

Take the square root of each side

±sqrt(16) = sqrt(x^2)

±4 = x

What are the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J

Answers

Answer:

[tex]\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]

Step-by-step explanation:

Given: P is Three-fifths the length of the line segment from K to J

To find: x- and y-coordinates of point P on the directed line segment from K to J

Solution:

Section formula:

Let point K and J be [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] such that the point [tex]p(x,y)[/tex] divides KJ in ratio [tex]m:n[/tex]

Then coordinates of point  P are given by [tex]\left ( \frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n} \right )[/tex]

Take [tex]m:n=3:5[/tex]

So,

coordinates of point P = [tex]\left ( \frac{3x_2+5x_1}{3+5},\frac{3y_2+5y_1}{3+5} \right )=\left ( \frac{3x_2+5x_1}{8},\frac{3y_2+5y_1}{8} \right )[/tex]

Answer:

The answer is (40,96), hope it helps :)

helppppppppp! i give brainliest !!!!!!

Answers

Answer:

7.5g salt, 10g yeast, 50ml oil, 450ml water.

Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form

Answers

Answer:

45×10^10

Step-by-step explanation:

try opening the brackets group and you get the answer

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?

Answers

Answer:

Large box = 31/2 = 15.5 kgs

Small box = 27/2 = 13.5 kgs.

Step-by-step explanation:

Let x be large box

Let y be small box

5x + 3y = 118

5x = 118 - 3y

x = 118/5 - 3/5y

2x + 12y = 193

2(118/5 - 3/5y) +12y = 193

y = 27/2 = small box

Large box

5x + 3(27/2)=118

x = 31/2 = large box

Share 35 sweets in the ratio 4:3

Answers

number sweet is 35

we divided ratio  =4x:3x

total  = 4x+3x

7x= 35

= 35/7

x= 5

1 st part will be 4x = 4*5= 20 sweets.

2 nd part will be 3x = 3*5= 15sweets

Can someone please help me :(

Answers

Answer:

Step-by-step explanation:

ok its AAS because if you see the most aperent thing on the trangle is that

Answer:

AAS

Step-by-step explanation:

The two triangles are congruent because they have two equal angles and one side

what is the estimate of 14.8(20.7)​

Answers

Answer:

306.36 is the answer

Step-by-step explanation:

Answer:

306.36

Step-by-step explanation:

hope it helps! x

What is the best approximate of the square root of 50

Answers

Answer:7

Step-by-step explanation:

7^2 = 49 (or square root of 49 is 7)

8^2 = 64 (or square root of 64 is 8)

Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *

Answers

Answer:$11.90 each week for 5 weeks

Step-by-step explanation:

$59.50/5 = $11.90

What’s the sum for 1/6+square root 6

Answers

Answer:

1/6 +√6 = 2.6162

Step-by-step explanation:

Answer:

B:2.6161564...

Step-by-step explanation:

edge2020

Volume = 21 pi Find the value of the variable in the figure. Leave answers in the simplest form. a. 1 c. 5 b. 3 d. 7

Answers

Answer:

3

Step-by-step explanation:

(volume)  21 * pi = 65.9734457254

height =7

Cone = (1/3)πr²h, where r is the radius and h is the height.

V = Ah/3

Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma

Answers

Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Step-by-step explanation:

A line is a one-dimensional figure, it has no thickness.

For reference,  point is zero dimesional, a plane is twodimensional.

Then the correct answer would be:

A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.

Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?

Answers

Answer:

It's about 33 cents per ounce. The exact answer would be 0.3325

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:     i did it on a piece of paper


The formulae for kinetic energy is E =-mv2.

Find the value of E when m= 900 and v=1.3,

Answers

Answer: ΔKE = 760.5 Joules

Step-by-step explanation:

Isnt the formula for ΔKE = 0.5m*v^2???

Im not going to use that formula you gave me, its wrong.

900/2 = 450

1.3^2 = 1.69

450 x 1.69 = 760.5 Jules

This is also the wrong subject btw

11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?

Answers

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

Answer:

Identity property of addition

Step-by-step explanation:

Given

Step 3: 6x = 12

Required:

Which property justifies Step 3 of his work

The property that justifies this step is the identity property of addition;

At step 2; the equation was

6x + 0 = 12

When 0 is added to any expression or number, the value of the number or expression remains unchanged.

So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:

So, 6x + 0 = 12 becomes

6x = 12.

This property is referred to as the Identity property of addition

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.

Answers

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

help? Give the equation of the line passing through the points (9/4,4/11) , (9/4, 7) .

Answers

Answer:

x = 9/4

Step-by-step explanation:

Since the x coordinates are the same, it is a veritcal line with x = 9/4

Please help me with this and explain

Answers

Answer:

4.104

Step-by-step explanation:

Volume of any prism = Area of cross section x height.

so, volume = 0.6 x 1.9 x 3.6 = 4.104

Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!

Answers

Answer:

(x-4)^2 + (y-3)^2 =8

Step-by-step explanation:

The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3

(4,3)

The radius is the distance from the midpoint to an endpoint

This is 2sqrt(8)

So the equation is

(x-4)^2 + (y-3)^2 =8

Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places. ​

Answers

Answer:

9.46 ft

Step-by-step explanation:

Law of sines

10/sin(90)=x/sin(71)

x=(sin(71)*10)/sin(90)

x=9.46

Prove that for any complex polynomial ^=−1,
the sum of the roots is zero. (Please state any theorem used).

Answers

Answer:

I dont get this ??

Step-by-step explanation:

The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..

Answers

Answer:

First tale nth term and find relation of a , d, n

Try yourself

the circumference of a circle is 125.6m find its radius ​

Answers

Step-by-step explanation:

we have,

Circumference of Circle (C) = 2πr

or, 125.6 = 2πr

or, r = 125.6/2π

Ans: r = 19.9898 ~ 20 m

Find a solution for the equation y = 4x - 3.

Answers

Answer:

y=1

Step-by-step explanation

the x is like a imaginary 1 so 4*x=4-3=1

QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89

Answers

Answer: $114.65

Step-by-step explanation:

From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.

Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:

= $687.89/6

= $114.65

The person will pay $114.65 monthly

Answer:

114.65

Step-by-step explanation:

The x coordinate of the midpoint is the _____ the x coordinates of the endpoints.

Answers

Answer:

average

Step-by-step explanation:

The midpoint is always the average or middle of the line. So here it would be the average of the two x endpoints.

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