The financial planner for a beauty products manufacturer develops the system of equations below to determine how many combs must be sold to generate a profit. the linear equation models the income, in dollars, from selling x plastic combs; the quadratic equation models the cost, in dollars, to produce x plastic combs. according to the model, for what price is each comb being sold? startlayout enlarged left-brace 1st row y = startfraction x over 2 endfraction 2nd row y = negative 0.03 (x minus 95) squared 550 $0.03 $0.50 $0.95 $2.00

Answers

Answer 1

The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Profit = income - cost

Given that the linear equation y = x/2 models the income, in dollars, from selling x plastic combs. Hencee:

Price of each comb = (x/2) / x = 0.5

The price of each comb is $0.5, if the linear equation y = x/2 models the income, in dollars, from selling x plastic combs

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Answer 2

Answer:

$0.50

Step-by-step explanation:

The answer above is correct.


Related Questions

Suppose the figure above is translated 2 units left and 4 units up. The translated figure is then dilated with a scale factor of 3, centered at the origin. Which is the ordered pair for the image of C?

Answers

(6,0) this is right because translation is j moving a figure while dilation means multiply each x and y by scale factor

I need help with my homework​

Answers

Answer:

y = 50x + 900

Step-by-step explanation:

I used the slope formula (y = mx + b). y represents the total money she earns each month

Use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)X-5 + 8
You may wish to graph it and its parent function, y = 0.5% on the same axes.
The parent function y = 0.5% is

across its domain because its base, b, is such that
DONE
The function, f shifts the parent function 8 units
DONE
The function, f shifts the parent function 5 units
DONE

Answers

Answer:

First box is: decreasing

Second box: 0< b< 1

Third box: Up

Fourth box: Right

Step-by-step explanation:

Please help! I forgot to study..

Answers

Answer:

mean: $13.50

median: $11

mode: $10

range: $26

hope this helps:)

Answer:

The mean is 13.5, median is 11, mode is 10, and for the range, it's 26

Step-by-step explanation:

For the mean, you add all the numbers up 4+30+10+12+10+20+12+10 = 108. Then you divide by how many terms there are which is 8 and then you get 13.5.

The median is the middle value in a list ordered from smallest to largest. So that is why you get 11.

The mode is the most frequently occurring value on the list and we can tell that 10 is the most occuring in this list.

Finally we have the range. To find the range you subtract the highest amount to the lowest amount. 30 - 4 = 26.

what percent of 7 is 3.5

Answers

Answer:

50%

Step-by-step explanation:

what percent of 7 is 3.5

3.5 is half of 7, so 100%: 2 = 50%

Answer: 50%

I have shown two methods, both work well and can be used to solve other scenarios as well.

[Method One]

     We will set up a proportion and solve.

-> A percent divided by 100 is a decimal. This means 100% = 1 in our proportion

[tex]\frac{1}{7} =\frac{x}{3.5}[/tex]

7x = 3.5

x = 0.5

0.5 * 100 = 50%

[Method Two]  

     We will put the whole value in the denominator, and the "what percent of" value is the numerator.

[tex]\displaystyle \frac{3.5}{7}[/tex]

0.5

0.5 * 100 = 50%

what is 3 1/2 - 2 7/8=

Answers

Step-by-step explanation:

[tex] = 3 \frac{1}{2} - 2 \frac{7}{8} \\ [/tex][tex] = \frac{3 \times 2 + 1}{2} - \frac{2 \times 8 + 7}{8} \\ [/tex][tex] = \frac{7}{2} - \frac{23}{8} \\ [/tex]Now...find the lcm...[tex] = \frac{7}{2} \times \frac{4}{4} - \frac{23}{8} \times \frac{1}{1} \\ [/tex][tex] = \frac{28}{8} - \frac{23}{8} \\ [/tex][tex] = \frac{28 - 23}{8} \\ [/tex][tex] = \frac{5}{8} \\ [/tex]

Answer:

5/8

Step-by-step explanation:

3 + 1/2 - 2 - 7/8

⇒ 3 - 2 = 1

1/2 - 7/8 = ?

⇒ 4/8 - 7/8 = -3/8

1 - 3/8 = 5/8

Alternative approach:

7/2 - 23/8(converted mixed numbers to fractions)

(7 × 8) - (23 × 2) ÷ 2 × 8

= 56 - 46 ÷ 16

= 10/16

= 5/8

PLS HELP ASAP

Solve the following system of equations.
x + y = 3
2x + 2y = 6


A) (1.5, 1.5)

B) (0, 3)

C) infinite number of solutions

D) no solution

Answers

Answer:

C.

Step-by-step explanation:

x + y = 3

2x + 2y = 6

Multiply the first equation by 2:

2x + 2y = 6

This is the same equation as the second one.

So there are an infinite number of solutions.

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x² + 10 a
y = 4x -10? Select two options.
Oy=x² + 5x + 10
Oy + 5x = x² + 10 + 4x - 10
00=x²-9x
00=x²-9x + 20
One x-value of a solution to the system is 4.

Answers

Answer:

0 = x² - 9x + 20

4 is a solution for the system.

Step-by-step explanation:

y + 5x = x² + 10

y = 4x -10

Replacing the value of y in the first equation. This method is called sustitution.

(4x -10) + 5x = x² + 10

4x - 10 + 5x = x² + 10

4x + 5x - 10 = x² + 10    organizing.

9x - 10 = x² + 10             sum of similar terms.

0 = x² + 10 -9x + 10       organizing.

0 = x² - 9x + 10 + 10       organizing.

0 = x² - 9x + 20              sum of similar terms.

What happens if replace 4 in the equation.

0 = 4² - 9(4) + 20

0 = 16 - 36 + 20

0 = -20 + 20

0 = 0                            I find that 4 is a solution for the system.

Find the length of BC.

Answers

BC is 14

DC and BC are equal

3y + 5 = 5y - 1

-3y

5 = 2y - 1

+1

6 = 2y

÷2

3 = y

y=3

Substitute y=3 into 5y-1, to find BC

5y-1

5x3 - 1

15 - 1

14

BC is 14

Hope this helps!

Answer:

Step-by-step explanation:

Let corner angle at C=α

tanα=12;BC=x;AC=xsecα

By a standard property of right angled triangles,

(xsecα)2=x(x+2)

simplify

x=BC=2tan2α=8.

The sketch is not proportionately drawn.Also

AB=4,AC=45–√

x = √2x-1
Simplify each equation. Make sure to check for extraneous solutions

Answers

x= V2 x-1

x-V2 x= -1

x+x = 1/V2

2x = 1/V2

x = 1/2V2

x = V2/4

A path in the park is 15 kilometers in. A trash bin is placed every 1/3 kilometers how many trash cans are along the path ?

Answers

45 trash cans. Hope that helps.

The present shown below is a cube. Find the surface area.

Answers

Answer:

SA = 2,400 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

l = 20 cmw = 20 cmh = 20 cm

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(20)(20) + 2(20)(20) + 2(20)(20)

SA = 2(400) + 2(400) + 2(400)

SA = 800 + 800 + 800

SA = 2,400 cm²

Final answer: 2,400 cm²

Hope this helps!

SURFACE AREA

================================

[tex] \large \sf \underline{Direction:}[/tex]

The present shown below is a cube. Find the surface area.

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad \qquad \huge \bold{2,400cm^{2} }[/tex]

================================

[tex] \large \sf \underline{Solution:}[/tex]

[tex] :\sf{SA=2(lw)+2(wh)+2(hl)}[/tex]

[tex]:\sf{SA=2(20)(20)+2(20)(20)+2(20)(20)}[/tex]

[tex]:\sf{SA=2(400)+2(400)+2(400)}[/tex]

[tex]:\sf{SA=800+800+800}[/tex]

[tex]\therefore\sf\underline{SA = \pmb{2,400cm^{2} }}[/tex]

Hence, the surface area that you are looking for is 2, 400cm².

================================

A baker made two cakes of the same size.
At the end of the day, there was 2/3 of a chocolate cake left.
There was 5/6 of a strawberry cake left.
The baker divided the remaining chocolate cake into 2 equal pieces and the remaining strawberry cake into 3 equal pieces.
How much larger was the chocolate cake pieces than the strawberry pieces?

Answers

Your question seems to be incomplete

Find p write your answer in simplest radical form

Answers

Answer:

sqrt (98)

Step-by-step explanation:

The two 45 degree angles result in equal length legs in this right triangle ..

 use pythagorean theorem

7^2 + 7^2 = p^2

sqrt (98) = p  

2x+ 5y = 15
5x+10y = 35
O A. (5.-1)
O B. (5,1)
(
O C. (10,-1)
O D. (10,1)

Answers

Answer:

B.

Step-by-step explanation:

Plug in those x and y values into your equations.

(x, y) = (5, 1)

2x + 5y = 15

2(5) + 5(1) = 15

10 + 5 = 15

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

This proves those values are true. So the answer is B.

Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3

Answers

The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.

What is a function?

It should be noted that a function simply means a relation or expression that involves two or more variables.

In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.

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Answer:b

Step-by-step explanation:

A committee must be formed with 4 teachers and 7 students. If there are 9 teachers to choose from, and 8 students, how many different ways could the committee be made?

Answers

Adaptations as compromises Adaptations can so
as compromises. One example of an adaptive con
bear's "thumb.' Modern pandas have five digits th
and a sixth digit that functions like a thumb. This
bone. Ancestral pandas with bigger wrist bones hac
ing and eating their food. Over time, this adaptati

A right triangle has a length of 30 and a side with a length of 18. A side with a length of 24 is opposite angle theta. What statement about the angle theta is true?


HELP QUICKLY PLEASE

Answers

Answer:

[tex]\text{A. }\cos \theta = \frac{3}{5}[/tex]

Step-by-step explanation:

See attached file for complete work.

Find the distance between the pair of points.
(2, 0) and (-1, 1)

Answers

Step-by-step explanation:

given points (2,0) and (-1,1)

let A(2,0) and B(-1,1)

A(2,0) B( -1,1 )

(x1 , y1) (x2 , y2)

AB = √(x2 - x1)² + (y2 - y1)²

= √(-1 - 2)² + ( 1 - 0 )²

= √(-3)²+ 1²

= √9 + 1

= √10

Therefore,distance between given points is √10

Help me plsssssssssssssssss

Answers

Answer:

h=12

Step-by-step explanation:

by cross multiplying we get 1h=12 or h=12 so h=12

Find a pair of values that make the linear equation y=12x−24 a true statement by filling in the boxes with a valid value of x and y.

Answers

Answer:

pair 1:  (0, - 24)

pair 2: (1, -12)

Step-by-step explanation:

y = 12x − 24

A pair of values that make the linear equation true:

the easiest value is always 0!!

if x = 0 than plug it in to find y

y = 12(0) − 24 → y = -24

so the pair is (0, - 24)

if x = 1 than plug it in to find y

y = 12(1) − 24 → y = 12 - 24

so the pair is (1, -12)

A line passes through the point (-1, 8) and has a slope of 9. Can someone put that in slope intercept for

Answers

Step-by-step explanation:

[tex]y - y_1 = m.(x - x_1)[/tex]

[tex]y - 8 = 9.(x - ( - 1))[/tex]

[tex]y = 9x + 9 + 8[/tex]

[tex]y = 9x + 17[/tex]

Please help me on this

Answers

Answer: Not gonna spoon feed but the ratio is -3
6 * -3 = -18

-18 * -3 = 54
u should be able to get t4, t5 and t6 now by urself

PLSS HELP ME WITH THIS !! 20 POINTSS

Answers

Answer:

Constant of Proportionality is k = y/x

Step-by-step explanation:

k = 0.5/1 = 0.5

Answer:

k = 0.5

Step-by-step explanation:

the constant of proportionality is the slope of the line

using the point (1, 0.5 ) , then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5

If you flipped 2 coins, what is the probability that both will land on tails?
3/4
0/4
1/4
1/2

Answers

The probability of getting exactly two tail is 1/4.

Identify a pattern in each list of numbers. Then use this pattern to find the next
number.
-1215, 405, -135, 45, -15,

Answers

Answer:

pattern: common ratio of -1/3next: 5

Step-by-step explanation:

When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:

  405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3

__

For this sequence, each number is -1/3 times the previous number.

The next number is (-15)(-1/3) = 5.

Which of the following is a unit fraction? 3/8 ,15/16 ,4/9,1/8

Answers

Answer:

its b

Step-by-step explanation:

ab equal 76 because 4

37/16 as a decimal rounded to the nearest tenth

Answers

Answer:

2.3

CAN I GET BRAINLIEST PLEASE

Step-by-step explanation:

Answer:

2.3.

Step-by-step explanation:

We know that:

the fraction is 37/16

What we DON'T know is:

the decimal of 37/16.

Solve for the decimal:

37/16= 2.3 (Can't find my explanation).

Answer is 2.3.

wich one is a Line of Symmetry with a line going up and down called

a.Horizontal Line of Symmetry

b.Vertical Line of Symmetry

c.Diagonal Line of Symmetry

Answers

B. Vertical line of symmetry

Your answer is B.

Vertical goes straight up and down.

Horizontal lines go side to side

A diagonal line is slanted.

If A'B' is 8 find the length of AB.

If angle B is 40 degrees what is the measurement of B'?

If angle A is 80 degrees what is the measurement of A'?

Using AA what is the measurement of angle C?

Answers

The length of AB when A'B' is 8 is 12

The measurement of B' when angle B is 40° is also 40°

The measurement of A' when A is 80° is also 80°

The measurement of C using AB is 60°

What are similar triangles?

Similar triangles are triangles that have the same angles and the ratio of their corresponding sides are equal.

Analysis:

ΔCA'B' is similar to ΔCAB.

Which means [tex]\frac{A'B'}{AB}[/tex] = [tex]\frac{CB'}{CB}[/tex] = [tex]\frac{CA'}{CA}[/tex]

A'B' = 8, CA' = 4, CA = 6

[tex]\frac{8}{AB}[/tex] = [tex]\frac{4}{6}[/tex]

4AB = 8 X 6

AB = 48/4 = 12

Line BA nd B'A' are parallel lines joined by two transversals BC and CA.

So, ∠B = ∠B' = 40°( corresponding angles are equal)

Also, ∠A = ∠A' = 80° ( corresponding angles are equal)

∠A + ∠B +∠C = 180( sum of angles in a triangle)

80 + 40 + ∠C = 180

120 + ∠C = 180

∠C = 180 - 120 = 60°

In conclusion,

The length of AB when A'B' is 8 is 12

The measurement of B' when angle B is 40° is also 40°

The measurement of A' when A is 80° is also 80°

The measurement of C using AB is 60°.

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