Rae earns $8.40 an hour plus an overtime rate equal to 1(1/2)times her regular pay for each hour worked beyond 40 hours. What are her total earnings for a 45-hour work week?

The cost function to produce x cups of coffee is C(x) = 0.093x + 1.31

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let C(x) represent the cost to make x cups. If m is the rate of making each cup and b is the initial cost of start up, hence:

The manage produce 200 cups of coffee is $19.91:

19.91 = 200m + b   (1)

Also, to produce 500 cups is $47.81:

47.81 = 500m + b   (2)

From both equations:

m = 0.093 and b = 1.31

The cost function is C(x) = 0.093x + 1.31

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Answer:

8:3

Step-by-step explanation:

we can divide each number by 5 and get the answer

The Coordinates of the graphed point are (−3, 2.5).

The coordinates of the graphed point, based on the given description, are (−3, 2.5).

The x-coordinate represents the horizontal position of the point, and it is described as being 3 units to the left of the y-axis. Since the y-axis is the vertical line passing through x = 0, moving 3 units to the left means the x-coordinate is −3.

The y-coordinate represents the vertical position of the point, and it is described as being 2.5 units up from the x-axis. Since the x-axis is the horizontal line passing through y = 0, moving 2.5 units up means the y-coordinate is 2.5.

Therefore, the coordinates of the graphed point are (−3, 2.5).

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Answer:

Quarters: 10

Dimes: 8

Step-by-step explanation:

Constraints

value: 0.25q + 0.10d = 3.30

count: q + d = 18

q = 18 - d

0.25(18-d) + 0.10d = 3.30

4.50-0.25d+0.10d = 3.30

4.50-0.15d = 3.30

-0.15d = -1.20

d = 8

q + d = 18

q + 8 = 18

q = 10

Check:

0.25(10) + 0.10(8) = 3.30

2.5+ 0.80 = 3.30

3.30 = 3.30

Answer:

1/50

Step-by-step explanation:

divide B by A to give you the denominator. then choose your answer

Answer: D

Plz dont forget brainliest

There are infinitely many possible answers.

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

Explanation:

Answer:

20

Step-by-step explanation:

50 = 2x+3x or 5x

x=10

2(10) =20

Answer:

a

The distribution of  X is normal

b

[tex]P(X < 1.4) = 0.12654[/tex]

c

[tex]P(X > 3.5) = 0.36051[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 3 \ hours[/tex]

   The standard deviation is  [tex]\sigma = 1.4 \ hours[/tex]

Generally given from the question that the amount of time spent alone by the population size is normally distributed then then the distribution of X (i.e the amount of time spent by the sample size (the one Mercurian)) will be normally distributed

  Generally the probability that the child spend less than one hour in a day is mathematically represented as

        [tex]P(X < 1.4) = P(\frac{X - \mu}{\sigma} < \frac{1.4 - \mu}{\sigma} )[/tex]

Here [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized\ value\ of\ X)[/tex]

So

      [tex]P(X < 1.4) = P(Z < \frac{1.4 - 3.0}{1.4} )[/tex]

     [tex]P(X < 1.4) = P(Z < -1.1429 )[/tex]

From the z-table the value of  

        [tex]P(Z < -1.1429 )=0.12654[/tex]

So     [tex]P(X < 1.4) = 0.12654[/tex]

Generally the percentage of children that spends over 3.5 hours unsupervised is mathematically represented as

        [tex]P(X > 3.5) = P(\frac{X - \mu}{\sigma} > \frac{3.5 - \mu}{\sigma} )[/tex]

        [tex]P(X > 3.5) = P(Z > \frac{3.5 - 3.0}{1.4} )[/tex]

        [tex]P(X > 3.5) = P(Z > 0.3571 )[/tex]

From the z-table the value of  

        [tex]P(Z >0.3571 )=0.36051[/tex]

So     [tex]P(X > 3.5) = 0.36051[/tex]

Answer:Cubic Feet . Cubic Feet . Measure . Per 50 Cubic Feet . Per 40 Cubic Feet .

Step-by-step explanation:

Answer:B

Step-by-step explanation:

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

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.

Step-by-step explanation:

The same triangle ~

10/m = 6/9

10 = 6m/9

(10)(9)/6 = m

15 = m

m = 15

Answer:

x+3/7

Step-by-step explanation:

i hope that right

Answer:

2

Step-by-step explanation:

3*4^2*10+10/2 - 6*4

   4*4=16    5      24

3*16*10  +   5  -  24 = 19

480 - 19

Answer:

x = 1

Step-by-step explanation:

Step 1: Define

h(x) = -5x - 1

h(x) = -6

Step 2: Substitute and Evaluate

-6 = -5x - 1

-5 = -5x

x = 1

Answer:

270

Step-by-step explanation:First, you need to figure out how many times 24 goes into 120 (120 being the number of minutes in a 2 hour period). When you divide 120 by 24, you get 5.

Next, multiply the number of people (54) by the number of minutes (5) to discover that the Ferris wheel can accommodate 270 people in 2 hours.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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After inviting an additional friend to help, Estella and her friends can make a total of 5 glasses of lemonade, which is an additional 1 glass.

Suppose Estella was making lemonade alongside three friends and decides to invite an additional friend to help.

The number of additional glasses of lemonade Estella and her four friends can produce will depend on several factors, such as the recipe's ingredients, the size of the glasses, and the capacity of the lemonade container.

Suppose each person can make a glass of lemonade using half a lemon, a tablespoon of sugar, and a cup of water.

To make five glasses of lemonade, Estella and her friends would need 2.5 lemons, 5 tablespoons of sugar, and 5 cups of water.

Suppose Estella has enough lemons, sugar, and water to make 20 glasses of lemonade, and each glass is eight ounces.

After inviting her friend to help, Estella and her four friends can make a total of 25 glasses of lemonade, which is an additional 5 glasses.If each person makes a glass of lemonade that is six ounces in size, Estella and her friends can produce 30 glasses of lemonade.

With an additional friend, they can make 35 glasses of lemonade, which is an additional 5 glasses.Suppose Estella's recipe only produces one glass of lemonade per person.

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Answer:

theres a link to the answer

Step-by-step explanation:

√

27

=

9

√

3

Explanation:

If

a

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b

≥

0

then

√

a

b

=

√

a

√

b

So

3

√

27

=

3

√

3

2

⋅

3

=

3

√

3

2

√

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=

3

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3

√

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=

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Answer link

that should be a link up there

Answer:

-x^3+x^2+3x-1

Step-by-step explanation:

f(x)=8−4x−x³

g(x)=x²+7x−9

f(x)+g(x) = 8−4x−x³ +x²+7x−9

Combine like terms

             =-x^3+x^2+3x-1

Answer:

See below

Step-by-step explanation:

[tex]f(x)=8-4x-x^3\\g(x)=x^2+7x-9[/tex]

Once

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=(8-4x-x^3)+(x^2+7x-9)=-x^3+x^2+3x-1[/tex]

[tex]\therefore (f+g)(x)=-x^3+x^2+3x-1[/tex]

Answer:

For 3 tablespoons of olive oil- you need 2 cloves garlic

For 1 tablespoon of olive oil- you need (2/3) cloves garlic

For 2 tablespoons of olive oil- you need [tex]\frac{2 X 2}{3}[/tex] cloves garlic

So, 4/3 cloves of garlic

Answer:

-178 = u

Step-by-step explanation:

227 = 49-u

Subtract 49from each side

227-49 = 49-49-u

178 = -u

Multiply each side by -1

-178 = u

Answer:

g=y/x+m

Step-by-step explanation:

Answer:

g=(y-m)/x

Step-by-step explanation:

In the beginning, you owuld subtract m from one side of the equation to get y-m=gx.

Then you would divide both sides by x, therfore getting g=(y/m)/x.

Hope this helps!  

Answer:

7. A = 4pi

8. A = 36pi

9. A = pi/16

Look into explanation to know how to solve these

Step-by-step explanation:

I assume C is the circumference

Now, the formula for C is

[tex]C = 2(pi)r[/tex]

and the formula for area is,

[tex]A = pi(r^2)[/tex]

where r is the radius.

We need to find the radius to find the area

Now, since the circumference is given, we can use that to find the radius in the following manner.

[tex]C = 2(pi)r\\r = C/(2pi)[/tex]

And then put that into the area formula.

So, for your questions.

7. C = 4pi

r = (4pi)/(2pi)

r = 2

and then the area will be,

[tex]A = pi(2^2)[/tex]

A = 4pi

8. C = 12pi

then r = (12pi)/(2pi)

r = 6

and area is,

[tex]A = pi(6^2)[/tex]

A = 36pi

9. C = pi/2

r = (pi/2)/(2pi)

r = 1/4

and area will be then

A = pi(1/4)(1/4)

A = pi/16

The areas in terms of π are

1. A = 4π units²

2. A = 36π units²

3. A = π/16 units²

A circle is a round-shaped figure that has no corners or edges.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a circle is expressed as;

A = πr²

where r is the radius.

The circumference of a circle is expressed as;

C = πd

1. C = 4π , therefore d = 4 and r = 2

A = πr² = 2²π = 4π units²

2. C = 12π , therefore d = 12 and r = 6

A = π6² = 36π units²

3. C = π/2 , therefore d = 1/2 , r = 1/4

A = (1/4)²π

= π/16 units²

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Answer: m<CRN= 107 degrees

m<GMB=148

Step-by-step explanation:

To perform the composition, we need to substitute g(x) for x in f(x).

f(g(x)) = 3/(x^2 - 5)

Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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Answer:

The answer is 0

Step-by-step explanation:

7 - (9x0)

0-7

-7