Rita has a home-based business making and selling scented soaps. She intially spent $52 to
purchase soap making equipment, and the materials for each kilogram of soap cost $7. Rita
sells the soap for $33 per kilogram. Eventually, she will sell enough soap to cover the cost of
the equipment. What will be Rita's total sales and costs be? How much soap will that be?
Rita's sales and costs will both be
once she sells
kilograms of soap.
Submit
Talerle it out

Step-by-step explanation:

...x=+2...

...y=-3...

Answer:

Step 1:

What are the key aspects of any parabola? What do the key aspects tell you about the graph?

(5 points)

        0=a(4-24)^2+50

       -50=a(4-24)^2

        4-24

       -20^2=400

        -50=a(400)

       -50=400a

         -50/400=-0.125

         a = -0.125

B.) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

The roots and vertex, you can find the vertex by using vertex form y=a(x-h)^2+k. You find the roots by solving the quadratic equation.

Step 2: Solve for coefficient a.

a.) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

                                               f(x) = a(x-h)^2 +k

b.) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)

Not sure about this one...?

c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32

The equation of Daredevil Danny's jump in vertex form is y = -0.32(x - 25)^2 + 32

The graph that completes the question is added as an attachment

These are the vertex and the intercepts of the graph.

The intercepts tell us about when the time of flight and the time of landing, while the vertex tell about the maximum height of Danny's jump.

From the graph, we have:

A quadratic function is represented as:

y = a(x - h)^2 + k

Where:

vertex = (h,k)

So, we have:

y = a(x - 25)^2 + 32

Substitute the value of the x-intercept

0 = a(15 - 25)^2 + 32

Subtract 32 from both sides

a(15 - 25)^2 = -32

Solve for a

a = -0.32

Hence, the value of the coefficient a is -0.32

So, the equation in vertex form is y = -0.32(x - 25)^2 + 32

Read more about quadratic functions at:

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Answer:

Step-by-step explanation:

This is a cube so the formula for the volume of a square is a³ = Volume

This means:

5³ = V

V = 125in³

Answer:

125 in^3

Step-by-step explanation:

b/c

v=L×w×h

V=5 in×5 in×5 in

v=125 in^3

Answer:

Step-by-step explanation:

Answer:

1. Y=2

2.A=1.3

5.p=28/3

Step-by-step explanation: make me brainliest

Answer:

SAS is the answer in my opinion

Answer: Rosie biked 9.6 miles per week because you do 2 2/5 times 4. 2 2/5 becomes 12/5 and you just times it by 4.

Hope it helps! :D

Answer:

hello :  

(g/f)(3) = g(3)/f(3)

but : g(3) =3(3)+2 = 11

f(3) 2(3)-4 = 2

g/f)(3) = 11/2

Answer:

-14

Step-by-step explanation:

Given f(x) = 3x^3 -5x + k, and x-2 is a factor of f(x), then what is the value of k?

This is an interesting question, since I have to think I have ever seen a question like this asked before.

    3x³ - 5x + k   i'll try dividing by x-2  and adjust k so there is no remainder

                           3x² + 6x + 7

       x-2   |  3x³ + 0x² - 5x + k

                 3x³ - 6x

                          6x² -  5x

                          6x² - 12x

                                   7x  + k

                                   7x  - 14

                                            0    remainder is 0 if k = - 14

when I graphed   3x³ - 5x -14   and   (x-2)(3x² +6x +7)  the graphs were equivalent

Answer:

7, 6, 5 , 4, 3 , 2 , or 1

Step-by-step explanation:

Any of those numbers because they are below 8, and will make the number on the left lesser than the number on the right.

Answer:

see explanation

Step-by-step explanation:

(a)

constant of proportion = [tex]\frac{d}{t}[/tex] ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant = [tex]\frac{225}{5}[/tex] = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

(a)

constant of proportion =  ( d is distance, t is time )

Use any ordered pair from the table

Using d = 225 and t = 5 , then

constant =  = 45

(b)

Unit rate is then 45 miles per hour

(c)

The equation relating the quantities is

d = 45t

Answer:

ohh ok fast answer

its option 3

Answer:

85.5 miles

Step-by-step explanation:

From the attached diagram, distance between the two rest stops :

Rest stop A to Rest stop B = 2 1/4 inches

Scale factor :

1 in = 38 miles

Acrual distance would be :

2 1/4 inches would be :

2 1/4 * 38 miles

9/4 * 38 = 85.5 miles

Step-by-step explanation:

[tex]\sqrt{1/8}[/tex]=[tex]\sqrt{1} /\sqrt{8}[/tex]

[tex]\sqrt{8} =2\sqrt{2}[/tex]

[tex]1/(2\sqrt{2} )[/tex]

if the denominator is a root then multiply itself by itself to get an integer

[tex]1(2\sqrt{2} )/((2\sqrt{2})(2\sqrt{2} ))[/tex]

[tex]\sqrt{2} /4[/tex]

Hope that helps :)

Answer:

5 miles

Step-by-step explanation:

10 miles in 2 hours

so the half in 1 hour; 5 miles

Answer:

4 maybe

Step-by-step explanation:

If you do x2 +13x+ 36

you get

(x+9)x(x+4)

Answer:

25920

Step-by-step explanation:

you do lxwxh

The salesperson will have a commission of $262.5 and earn $612.5 in one week if he sold $750 worth of merchandise.

We first calculate the 35% commission on the $750 sales of merchandise, and then add the result to his weekly earning of $350.

35% commission on $750 = (35 × $750)/100

35% commission on $750 = $2625/100

35% commission on $750 = $262.5

salesman's earning for the week = $350 + $262.5

salesman's earning for the week = $612.5

In conclusion, the salesman will earn $612.5 if he sold $750 worth of merchandise in one week, which is the sum of his $350 per week earning and the 35% commission.

Know more about commission here: https://brainly.com/question/26283663

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Answer:

d = 0.4

Step-by-step explanation:

3/2 + 1/2 = 5d - 1/2 + 1/2

2 = 5d

2 ÷ 5 = 5d ÷ 5

0.4 = d

d = 0.4

Answer:

Step-by-step explanation:

Answer:

79.7

Step-by-step explanation:

average = 20x75=1440

wrong average68+86=154

correct average 1440+154/20=79.7

hope this is correct.

Answer:

B

Step-by-step explanation:

1200-800+1600+50-105=1945

Answer: B.

The balance starts at $1200. On July 19th, there's an outgoing transfer of $800, so you subtract 800. The remaining balance is 1200-800=$400.

On July 20th, there's an incoming transfer of $1600, so you add that to $400 to get $2000.

On July 23rd, you the account recieves $50 more, so you add that to get $2050.

On July 24th, you have to pay $105, so you subtract that to get $1945.00.

Hope I could help!

Answer:

11 cans

Step-by-step explanation:

1 hr = 60 min

33 hrs = ? min

Setup proportion and solve for x:

[tex]\frac{1hr}{60 min} =\frac{33hrs}{xmin}[/tex]

Do butterfly method and get x = 1980 minutes

Then take the 1980 divide it by 180 to find the number of cans.

[tex]\frac{1980}{180} =11[/tex]

Answer:

there are 20 boys and 12 girls

Answer:

sqrt(26) units

Step-by-step explanation:

Use the formula d=sqrt((x2-x1)^2 + (y2-y1)^2). d is the distance, and (x1, y1) and (x2, y2) are the points.

d=sqrt((4-(-1))^2 + (2-3)^2)

 =sqrt(5^2 + (-1)^2)

 =sqrt(25+1)

 =sqrt(26)

Answer:

inequality form

[tex]x \geqslant - 3[/tex]

Answer:

-27

Step-by-step explanation:

order of operations 2÷2 = 1 +53 =54

3x1 = 3 -5 = -2

54÷-2 = -27

Answer:

answer is 18

Step-by-step explanation:

.................

Answer:

11

Step-by-step explanation:

It may not be correct

Answer:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice

Step-by-step explanation:

We can easily obtain the answer by converting all the volumes to the same unit and comparing each of them, to see if they can make up to a gallon.

1). 6 pints apple juice and 6 cups cranberry juice

Let us convert pints and cups to gallons

1 pint = 0.125 gallons

6 pints = 6 X 0.125 = 0.75 gallons

1 cup = 0.0625 gallons

6 cups = 6 X 0.0625 =0.375 gallons

Total juice got from here is 0.75 +0.375 = 1.125gallons.

This cannot fit into the one-gallon pitcher as it is more in volume than a gallon.

2) 2 quarts apple juice and 8 cups cranberry juice.

2 quarts = 0.5 gallons

8 cups = 0.5 gallons.

Total juice got here is 0.5 + 0.5 = 1 gallon.

This can fit into the 1-gallon pitcher

3). 5 pints of apple juice and 2 quarts of cranberry juice

5 pint = 0.625 gallons

2 quarts = 0.5 gallons

Total juice got here is 0.625+ 0.5 = 1.125 gallon

This cannot fit into the 1-gallon pitcher

4). 9 cups of apple juice and 3 pints of cranberry juice

9 cups = 0.5625 gallons.

3 pints = 0.375 gallons

Total juice got here is 0.5625 + 0.375 = 0.9375 gallons.

This can fit into the 1-gallon pitcher because it is of less volume.

Hence, only these combination of drinks can fit into the 1-gallon pitcher:

2 quarts apple juice and 8 cups cranberry juice

9 cups apple juice and 3 pints cranberry juice