Find the equation of the linear function represented by the table below in slope-intercept form.

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

Answer:

-.71

Step-by-step explanation:

-3/4+ ((1/10)/(2/5))

Answer:16.78

Step-by-step explanation:

Answer:

Step-by-step explanation: 0.8

(9)

x ° = 1/2 (130° - 30°) = 50°

(due to a theorem about intersecting secants/tangents)

(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then

x ° = 1/2 (240° - 120°) = 60°

(due to the same theorem)

(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that y ° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and x ° is the measure of each arc that passes over an edge of the pentagon.

Each arc makes up 1/5 of the circle's circumferece, so

x ° = 360°/5 = 72°

The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)

The angles formed by the tangent to the circle are supplementary, so that

y ° + 108° + y ° = 180°

2y ° = 72°

y ° = 36°

Answer:

-94.2 [tex]cm^2/min[/tex]

Step-by-step explanation:

Rate of change of radius = -5 cm per minute (as it is decreasing)

Radius of circle = 6 cm

Formula for area of Area:

[tex]A = \pi r^2[/tex]

Formula for differentiation of [tex]y = x^n[/tex]:

[tex]\dfrac{dy}{dt} = nx^{n-1}\dfrac{dx}{dt}[/tex]

Differentiating area w.r.to [tex]t[/tex]:

[tex]\dfrac{dA}{dt} = 2\pi r\dfrac{dr}{dt}[/tex]

Putting the values, [tex]r = 6, \frac{dr}{dt} = -5[/tex] cm per minute.

[tex]\dfrac{dA}{dt} = 6\pi \times (-5)\\\Rightarrow \dfrac{dA}{dt} = -30 \times 3.14\\\Rightarrow \dfrac{dA}{dt} = -94.2\ cm^2/min[/tex]

Negative sign indicates that area is decreasing.

Rate of change of area is -94.2 [tex]cm^2/min[/tex].

The area decreases at a rate of -188.4 square centimeter per minute

The area (A) of a circle of radius (r) is represented as:

[tex]A = \pi r^2[/tex]

Differentiate the area, with respect to r

[tex]A' = 2\pi r r'[/tex]

From the question, we have:

So, the equation becomes

[tex]A' = 2\times 3.14 \times 6 \times (-5)[/tex]

[tex]A' =- 188.4[/tex]

Hence, the area decreases at a rate of -188.4 square centimeter per minute

Read more about rates of change at:

https://brainly.com/question/8728504

Answer:

3-gallon container of laundry detergent for $34.56

Step-by-step explanation:

48-fluid-ounce container of laundry detergent for  $5.28

5.28 : 48 = 0.11

check your work:  0.11 x 48 = 5.28

so for the first offer you will be paying $0.11 per ounce of laundry detergent.

3-gallon container of laundry detergent for $34.56

1 gallon = 128 ounces

3 gallons = 384 ounces

34.56 : 384 = 0.09

check your work:  0.09 x 384 = 34.56

for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.

hope this helps!

Answer: 2 the first one

Step-by-step explanation:

Answer: the first one

Step-by-step explanation:

Answer:

18 days

Step-by-step explanation:

1 cups=3 days

2 cups=6 days

3 cups=9 days

4 cups=12 days

5 cups=15 days

6 cups=18 days

Answer:

la respuesta

Step-by-step explanation:

perdon si no es

Answer:

14 to 44

Step-by-step explanation:

14 + 30 = 44 (this number represents total items)

There are 14 crayons

Therefore the answer Is 14 to 44

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

I hope this helps!

Step-by-step explanation:

Answer:

Answer:The missing part of ∠R = 70°. Hence, you can find the missing ∠R in the triangle (70°). 180°-110°=70°

Next x+64=110. The reason why you can do this is because ∠R is going to be an opposite interior angle. Subtract 64 from the left and right sides. x=46

Answer:

VXFFHVV

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

2

Step-by-step explanation:

-20 - 18 = -38

-7 - 12 = -19

-38/-19 = 2

Answer:

The slope is 2 which means the equation would be y=2x.

Step-by-step explanation:

9514 1404 393

Answer:

  9d +1 = 23.5

Step-by-step explanation:

=Simplifying, we have ...

  2d +4d -12 = 3

  6d = 15

  d = 15/6 = 5/2

Then 9d+1 is ...

  9(5/2) +1 = 45/2 +1 = 47/2

  9d +1 = 23.5

Answer:

SPANISH TALK THE ENGLSH

Step-by-step explanation:OKKK

OK I GIV ANSWER TALK ENGLISh

Answer:

1. $79.5 for 10 pizzas

2. $107 for 20 pizzas

Step-by-step explanation:

all you have to do is plug in your numbers to the function! for question one, you would plug in 10 as p. the equation would be s=2.75(10)+52. simplify by multiplying 2.75 by 10 and adding 52. you should get $79.5. for the second one, the equation is s=2.75(20)+52. i encourage you to solve it yourself just to make sure you understand!

Answer:

20

Step-by-step explanation:

Answer:

We will use;

21 parts oil

14 parts soy sauce

7 parts Orange

Step-by-step explanation:

We can have all of these as a ratio

That would be;

3 + 2 + 1 = 6

For oil

3/6 * 42 = 21 parts of oil

For Soy sauce

= 2/6 * 42 = 14 parts soy sauce

For Orange

= 1/6 * 42 = 7 parts orange juice

Answer: 7 14 21

Step-by-step explanation:

6x___=42 you fill in the blanks

Answer:

Time: 8 minutes

Altitude: 20000ft

Method 1 is easiest

Method 3 is easiest

Step-by-step explanation:

Given

Airplane 1:

[tex]Height = 44800 ft[/tex]

[tex]Descending\ Rate = 3100ft/min[/tex]

Airplane 2:

[tex]Ascending\ Rate = 2500ft/min[/tex]

Required

Determine when both planes would be at the same altitude?

Let the minute be represented by m

For Airplane 1, Its altitude at any height h is:

[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]

It is minus (-) because the airplane is descending

[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

For Airplane 2, Its altitude at any height h is:

[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]

[tex]Airplane\ 2 = 2500 * m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Method 1:

For both heights to be equal, we have that:

[tex]Airplane\ 1 = Airplane\ 2[/tex]

This gives:

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Hence, the time they will be at the same altitude is 8 minutes

Substitute 8 for m in

[tex]Airplane\ 2 = 2500m[/tex]

[tex]Airplane\ 2 = 2500 * 8[/tex]

[tex]Airplane\ 2 = 20000\ ft[/tex]

Hence, they will be at the same altitude at 20000ft

Method 2:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The difference in their altitude must be 0

i.e.

[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]

This gives

[tex]44800 - 3100m - 2500m = 0[/tex]

[tex]44800 - 5600m = 0[/tex]

Collect Like Terms

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Method 3:

We have that:

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 2 = 2500m[/tex]

Since they are to be at the same altitude, then

The ratio of their altitudes must be 1

i.e.

[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]

[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]

Cross Multiply

[tex]44800 - 3100m = 1 * 2500m[/tex]

[tex]44800 - 3100m = 2500m[/tex]

Collect Like Terms

[tex]44800 = 2500m + 3100m[/tex]

[tex]44800 = 5600m[/tex]

[tex]5600m = 44800[/tex]

[tex]m = 44800/5600[/tex]

[tex]m = 8\ min[/tex]

Substitute 8 for m in

[tex]Airplane\ 1 = 44800 - 3100m[/tex]

[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]

[tex]Airplane\ 1 = 44800 - 24800[/tex]

[tex]Airplane\ 1 = 20000\ ft[/tex]

Hence;

Their altitudes must be 20000ft

Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.

Method 3 is the most difficult.

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

Answer:

3:5

Step-by-step explanation:

ratio is 4:6 so ratio equals 2:3

red marbles is 3/5

The value of P( < 0.18) is 0.057.

The probability, for a particular statistical model, that the statistical summary would be equal to or more extreme than the actual observed results if the null hypothesis were true is known as the P value.

Given:

Sample Size = 1000

and, p= 0.20

So, P( P' < 0.18)

= P ( P'- P / √ P(1- P)/ n < 0.18 - 0.20 / √ 0.2 (1- 0.2)/ 1000 )

= P ( P'- P / √ P(1- P)/ n  < -0.02/ 0.0126)

=  P ( P'- P / √ P(1- P)/ n  < - 1.582)

= P( z < - 1.582)

= 0.056939

= 0.057

Learn more about p- value here:

https://brainly.com/question/14790912

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Answer:

Step-by-step explanation:

LM=2x+24

MN= x+28

LN=31

LN=(2x+24)+(x+28)

31=(2x+24)+(x+28)

solve

31=(2x+24)+(x+28)

31-24-28 = 2x +x

-21=3x

-7=x

Answer:

2.4 m

Step-by-step explanation:

Answer:

18 houses

Step-by-step explanation:

12 houses / 8 hours = 1.5 houses an hour

We're given 12 hours, so:

1.5 houses/hour * 12 hours = 18 houses