Winona has two jobs; one pays $10.00 per hour and the other pays $9.25 per hour plus an average of 70% of the hourly pay in tips and bonuses. Each pay
period, 20% of her total pay goes to taxes.
Part 1 of 2
(a) Write and simplify an equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the
number of hours, y, worked at the second.
The total take-home pay from Winona's two jobs can be found using the equation
P=
Part 2 of 2
X
3
(b) If Winona is committed to work 30 hours per week at the first job, how many hours per week would she need to work at the second job if she needs
her biweekly take-home pay to be $800? Round the answer to one decimal place.
In order for her biweekly take-home pay to be $800, Winona needs to work
hours per week at her second job.

Answer:

10x² + 16xy + 6x

Step-by-step explanation:

2x(5x+8y+3)

10x² + 16xy + 6x

Answer:

\(10x^{2} + 16xy + 6x\)

Hope this helped!

Step-by-step explanation:

2997

81

×

37

=2997

it just a simple calculation just multiply the numbers

Answer:

5a =5

Step-by-step explanation:

Answer:

$9 per week

Step-by-step explanation:

36/4 = 9

Answer:

\(\fbox{length= 10 \: in}

\)

Step-by-step explanation:

Given:

Length to Width Ratio = 2:3

Area of Rectangle= 150 in²

To find:

Length of rectangle=?

Solution:

Assume the length of rectangle is 2x

and the width of rectangle is 3x

Now,

we know that,

\(\sf\: Area \: of \: Rectangle = Length \times Width \\ \sf \: 150 = 2x \: \times 3x \\ \sf \: 150 =6 {x}^{2} \\ \sf \: {x}^{2} = \frac{150}{6} \\ \sf {x}^{2} = \cancel\frac{150}{6} \\\sf {x}^{2} = 25 \\\sf \sqrt{ {x}^{2} } = \sqrt{ {25} } \\ \sf \sqrt{ {x}^{2} } = \sqrt{ {5}^{2} } \\ \sf \: \fbox{x = 5 \: in}\)

Substituting the value of x in assumption,

\( \sf \: length= 2x \\ \sf \: length= 2 \times 5 \\ \sf \: \fbox{length= 10 \: in}

\)

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Answer:

168

Step-by-step explanation:

Area = 168

(Just typing since it needs at least 20 letters to post)

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:The product of the two functions, f and g, is given by fg(x) = (x² + 1)(9x + 5). This can be expanded to give fg(x) = 9x³ + 14x² + 5x + 5.

Step-by-step explanation:

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:

10,092

Step-by-step explanation:

841×12

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

this one.............

Answer:

top right

Step-by-step explanation:

Answer:A. x= .100

Step-by-step explanation:because of the distance in miles

Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that the Associative Law of Addition explains that a + (b + c) is the same as (a + b) + c.

Therefore, Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that this will still give same value.

Therefore, the correct option is B.

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Answer:

C. 45

Step-by-step explanation:

Since the question is asking how many females have both a driver's license and a part-time job. So you need to find the number that reoresents all three of these categories. This category is  shown in the very center with the number 45.

Hope it helps!

Answer:

C. 45

Step-by-step explanation:

Because its inside all three circles that you want.

Answer:

The width and length of the rectangle are \(22\) and \(16+x\), for \(x > -16\), respectively.

Step-by-step explanation:

From Geometry, we remember that area of the rectangle (\(A\)) is defined by:

\(A = w\cdot l\) (1)

Where:

\(w\) - Width.

\(l\) - Length.

In addition, we know that area is described by a first-order polynomial:

\(A = 352+22\cdot x\) (2)

Meaning that is the product of another first-order polynomial and a constant. That is:

\(A = a\cdot (b+c\cdot x)\)  (3)

Now we determine the Great Common Divisor of 352 and 22:

\(352 = 2\times 2\times 2 \times 2 \times 2 \times 11\)

\(22 = 2\times 11\)

The Great Common Divisor is 22.

Then, the area of the rectangle can be expressed by this expression:

\(A = 22\cdot (16+x)\) (3b)

According to this, the width and length of the rectangle are \(22\) and \(16+x\), for \(x > -16\), respectively.

The pair of numbers that solves the system is (15.25, 164.5).

The system of equations, in slope-intercept form, for Farmer Elentire and Farmer Hopt are:

y = 6x + 71 (for Farmer Elentire)

y = 10x + 10 (for Farmer Hopt)

To find the pair of numbers that solves the system, we need to find the point where the two lines intersect.

We can do this by setting the equations equal to each other:

6x + 71 = 10x + 10

Solving for x, we get:

4x = 61

x = 15.25

Now that we know x = 15.25, we can plug this value into either equation to find y.

71 + 6x = 10 + 10x

Subtracting 6x and 10 from both sides, we get:

61 = 4x

Dividing both sides by 4, we get:

x = 15.25

Now we can use either of the original equations to find y. Let's use the first equation:

y = 71 + 6x = 71 + 6(15.25) ≈ 164.5

Using the first equation, we get:

y = 6(15.25) + 71

y = 163.5

Therefore,

The pair of numbers that solves the system is (15.25, 163.5), accurate to the nearest tenth.

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This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer:

x=2

Step-by-step explanation:

Let x be the number

30 - 6x = x+16

Add 6x to each side

30 -6x+6x = x+16+6x

30 = 7x+16

Subtract 16 from each side

30-16 = 7x+16-16

14 = 7x

Divide each side by 7

14/7 = 7x/7

2 =x

Answer:

2

Step-by-step explanation:

let the number be x

given, 30 decreased by 6 times the number=30-6x

that is same as 16 more than the number= x+16

equating these 2 equations since they are equal

30-6x=x+16

6x+x=30-16

7x=14

x=2

The req. number is 2

The probability that a car chosen at random is not a red car is 51%

From the question, we have the following parameters that can be used in our computation:

Cars = 60%

Red cars = 15%

The probability that a car chosen at random is not a red car is calculated as

P = (1 - Red cars) * Cars

substitute the known values in the above equation, so, we have the following representation

P = (1 - 15%) * 60%

Evaluate

P = 51%

Hence, the probability that a car chosen at random is not a red car is 51%

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Answer:

I would write 8 3/4

right?

Answer:

8 3/4

Step-by-step explanation:

To write this as a mixed number you divide 35 by 4 to get 8 and if you out it in decimal form you get 8.75 so you take the remainder (75/100) and you simplify that to get 3/4 and after all of that you get 8 3/4. Hope this helps

The direct labor cost included in the Preble Company's flexible budget for March is $819,000.

To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.

Given:

Actual production and sales =n26,600 units

Actual direct labor rate = $13.00 per hour

Actual direct labor hours worked = 63,000 hours

Direct labor cost = Actual direct labor rate × Actual direct labor hours worked

Direct labor cost = $13.00/hour × 63,000 hours

Direct labor cost = $819,000

Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.

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Answer:

leaning at 3 degrees off of normal (to the nearest whole degree)

Step-by-step explanation:

To visualize, let's assume the tower is leaning to the right, (as viewed by us).

If the rope is dropped from the top to the ground, the tower, the rope and the ground (between the rope and the tower) form a right triangle.

The height and base of the triangle are given

Often we're looking for the angle near the ground, but here, we're looking for the angle between the rope and the tower because the angle is congruent to the angle that the tower forms with it's original vertical position (alternate interior angles).  If the tower was standing straight up and hadn't been leaning at all, we wouldn't say that the tower was leaning 90°... we would say it was leaning 0°.  Whereas if the tower fell over and was laying flat on the ground, we would say it was leaning at 90°.  So, we're not measuring the angle between the tower and the ground, but rather the angle between the tower where it should be, and where it is... which is the same angle as the rope forms with the tower.

Recall that \(tan(\theta)=\dfrac {opp}{hyp}\)

Since we know the two legs of the right triangle, one can setup a tangent relationship with the two legs, but remember that the "opposite" side is going to be the ground, and the "adjacent side" will be the rope.

\(tan(\theta)=\dfrac {ground}{rope}\\tan(\theta)=\dfrac {3ft}{57ft}\\tan(\theta)=\frac {3}{57}\\\theta=tan^{-1}(\frac {3}{57})\\\theta=3.012787504^o\\\theta \approx 3^o\\\)

Answer: sin(0) = 40.804/41

Step-by-step explanation:

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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The probability of winning the minimum award of $100 in the lottery is \(\frac{113}{140448}\)

The probability of picking first winning number (out of 57 white balls) is \(\frac{1}{57}\)

Now, out of the remaining 56 white balls, the probability of picking second winning number is \(\frac{1}{56}\)

So total probability of the correctly matching two numbers drawn from the white balls is  \(\frac{1}{57} + \frac{1}{56}\)

Next, to match the winning number on the gold ball, probability of this event is \(\frac{1}{44}\)

Thus overall probability of winning the minimum award is calculated by multiplying the individual probabilities of aforesaid two independent events as follows:

\((\frac{1}{44}) (\frac{1}{57}+\frac{1}{56})\)

= \(\frac{113}{140448}\)

Above value is the probability of winning the minimum award of $100.

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The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Answer:

To solve the expression [(4r²t)³]², you need to follow the order of operations (PEMDAS):

Calculate the expression inside the outermost parenthesis first: (4r²t)³ = (4 * r^2 * t)^3, where r and t are variables.

Raise the result to the power of 3: (4 * r^2 * t)^3 = 64 * r^6 * t^3.

Raise the result to the power of 2: (64 * r^6 * t^3)^2 = 4096 * r^12 * t^6.

So, [(4r²t)³]² = 4096 * r^12 * t^6.

Step-by-step explanation:

Answer:

F(x) = x^3  and G(x) = (4x)^3 − 5

so

G(x) = F(4x) -5

the visual effect is

1) shrink horizontally by 1/4

2) shift down by 5

therefore  

the answer is the option

D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Step-by-step explanation: