50 Points!
During a particular week, a company wants Angie and Dylan to work at most 60 hours
between them. Write the inequality that shows x, the number of hours Angie works,
and y, the number of hours Dylan works.

Answers

Answer 1
Dylan works more hours in a week

Related Questions

PLS CHECK IF THIS ANSWER IS CORRECT
WILL MARK BRAINLIEST

Answers

Answer:

I'm pretty sure the answer is 6.

Step-by-step explanation:

Labeling the rooms A, B, and C makes it easier.

Room A - All BUT 4

Room B - All BUT 4

Room C - All BUT 4

Since you can see each room is all but four, you can split the 4 into 2 into 2 OTHER rooms than the one stated. For example, Room A is all but 4, so 2 go to Room B and the other 2 go to Room C because each room is all BUT 4.

Basically, 2+2+2 = 6

What is the image of the point (-1,-4) after a rotation of 90 counterclockwise about the origin

Answers

The image of the point (-1,-4) after a rotation of 90 counterclockwise about the origin is (4,-1)

What is coordinate system?

A coordinate system can be defined as the method used to  identifying the location of a point graphically. Most of the coordinate systems use two numbers generally x and y to define a  coordinate and to identify location of any point. The center of graph or system is known as origin and generally pointed as zero (0).

what are various point representation in 2d coordinate system?

The 2 coordinates is generally written as x and y. There are generally 4 quadrants in 2d coordinate system. These are :

Positive x and Positive y i.e. (x , y)Negative x and Positive y i.e. (-x , y)Positive x and Negative y i.e. (x , -y)Negative x and Negative y i.e. (-x , -y)

Now in the given question the point is (-1,-4)

i.e. the point lie in 4th quadrant (-x,-y)

If the point is rotated 90 degree counterclockwise then the point becomes (y , -x)

Thus, point (-1,-4) becomes (4,-1)

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Emily knows that she can drive her car an average of 40 miles while using one gallon of gasoline. How many
gallons of gasoline will she need for at trip of 180 miles?

Answers

Answer:

4.5 gallons of gas

Step-by-step explanation:

180 ÷ 40= 4.5

Answer:

4.5 gallons

Step-by-step explanation:

Proportions:

40 miles ⇒ 1 gallon

180 miles ⇒ D gallons

D = 180miles * 1 gallon / 40 miles

D = 4.5 Gallons

You are lubricating several motors in the shop. One motor must be lubricated with of 3/16 an ounce of​ grease, and one larger motor must be lubricated with 3/8 of an ounce of grease. How many ounces of grease will you​ require? Your answer should be a fraction of an​ ounce, reduced to its lowest terms.

Answers

3/8 = 6/16

3/16 + 6/16 = 9/16 of an ounce

Write down two prime numbers that have a sum of 20​

Answers

3 and 17

7 and 13

Step-by-step explanation:

........

Mark Ogara rented a truck from Avis Rent-A-Car for the weekend (2 days). The base rental price was $30.45 per day plus 15 3/4 cents per mile. Mark drove 415.85 miles.

How much does Mark owe?

ound your answer to the nearest cent.

Answers

The amount that he owes will be $6610.54.

How to compute the value?

From the information, the base rental price was $30.45 per day plus 15 3/4 cents per mile. Mark drove 415.85 miles.

Therefore the amount that will be paid will be:

= ($30.45 × 2) + (15.75 × 415.85 miles)

= $60.90 + $6549.64

= $6610.54

The cost is $6610.54.

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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!!

Answers

Using the normal distribution, it is found that 55.7% of response times are between 4 and 6 minutes.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

For this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 4.5, \sigma = 1.2[/tex]

The proportion between 4 and 6 minutes is the p-value of Z when X = 6 subtracted by the p-value of Z when X = 4, hence:

X = 6:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (6 - 4.5)/1.2

Z = 1.25

Z = 1.25 has a p-value of 0.8944.

X = 4:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (4 - 4.5)/1.2

Z = -0.42

Z = -0.42 has a p-value of 0.3372.

0.8944 - 0.3372 = 0.5572 = 55.72%.

Hence:

55.7% of response times are between 4 and 6 minutes.

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A jar contains 360 beans. Of all the beans, 1/4 are white beans and the rest are black beans. What is the ration of white beans to black beans?

Answers

Answer is  1:3

Explanation:

1/4 = 0.25

0.25*360 = 90

90 white beans, 360-90 = 270 black beans

The ratio of white to black is 90:270 which fully simplifies to 1:3 after dividing both parts by the GCF 90.

denny is in the car repair business. Denny recently calculated his total cost conditions. He found that the total cost of repairing s cars is TC(s)=2s^2+10

If the market price is $20, how many cars will Denny be willing to repair?

Answers

When the market price is $20, the number of cars that Denny will be willing to repair is 5 cars.

How to calculate the value?

It should be noted that the total revenue will be:

= price × quantity

= 20 × s

= 20s

where s = number of cars

The marginal revenue will be 20.

The total cost is given as:

= 2s² + 10

The marginal cost will be 4s

We will equate the marginal. This will be:

4s = 20

Divide

s = 20/4

s = 5

Therefore, the number is 5.

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.
A polling organization conducts a study to estimate the percentage of households that have high-speed Internet access. It mails a questionnaire to 1495 randomly
Internet access. Of the 1495 households selected, 22.

Answers

a) The best description of the bias in the survey is A. Nonresponse bias.

b) To remedy this bias, B. The polling organization should try contacting households that do not respond by phone or face-to-face.

What is nonresponse bias?

Nonresponse bias is the type of bias when survey participants are not interested in the survey or send an empty or unsatisfactory response.

Nonresponse bias means that the sample is filled with those who are not willing or able to respond, making the number of non-respondents surpass the number of respondents.

Thus, a response of 22/1,495 is too significant to be ignored, meaning that the nonresponse bias is much more critical.

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Question Completion:

responded.

a) Which of these best describes the bias in the survey?

A. Nonresponse bias

B.  Sampling bias

C. Undercoverage bias

D. Response bias

b) How can the bias be remedied?

A. The polling organization should mail the questionnaire to a greater number of households.

B. The polling organization should try contacting households that do not respond by phone or face-to-face.

C. The polling organization should mail the questionnaire to each person in the household.

Ximena launches a toy rocket from a platform. The height of the rocket in feet
is given by h(t) = -16t² + 40t +96 where t represents the time in
seconds after launch. What is the appropriate domain for this situation?

Answers

The apprοpriate dοmain fοr this situatiοn is t ≥ 0.

What is Functiοn?

In mathematics, a functiοn is a relatiοn between a set οf inputs and a set οf pοssible οutputs with the prοperty that each input is related tο exactly οne οutput. It can be thοught οf as a rule οr a machine that takes inputs and prοduces οutputs accοrding tο a specific set οf instructiοns οr οperatiοns.

The dοmain οf a functiοn represents the set οf all pοssible input values fοr which the functiοn is defined. In this case, the functiοn h(t) represents the height οf the rοcket as a functiοn οf time t after launch.

Since time cannοt be negative in this cοntext (we can't have negative secοnds), the apprοpriate dοmain fοr this situatiοn is t ≥ 0, which means the functiοn is defined fοr all nοn-negative values οf t after the rοcket is launched.

Therefοre, the apprοpriate dοmain fοr this situatiοn is t ≥ 0.

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There are 1,001 pennies lined up on a table.
Starting at one end of the line, I replace every
third coin with a dime. How much money on
the table?

Answers

Answer: 3998 cents, or $39.98

Step-by-step explanation: Hope it helps!

what is (2x-7)+(5x-15)

Answers

The answer is 7x-22

9. What is the smallest value of x that is not a
solution to 4x-26 < 4?

Answers

Answer:

Step-by-step explanation:


There are 6000 registered voters in Roseville and
3/8
of these voters are registered Democrats. A survey
indicates that 2/3 of the
registered democrats are in favor of bond measure. And 3/5
of the other registered Democrats are in favor of this measure
How many of the voters are registered democrats

Answers

The number of voters who are registered democrats according to the description in the task content is; 2,250.

In order words, the total number of registered voters as democrats from the above is 2,250

What is the number of voters who are registered democrats?

It follows from the task content that the number of voters who are registered democrats be determined.

On this note, since 3/8 of the total 6000 voters are registered democrats;

However, the number of registered democrats is;

(3/8) × 6000

= 2,250.

Ultimately, the total number of voters who are registered democrats from the above is; 2,250.

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PLEASE HELP FAST I ONLY HAVE ONE HOUR!!!!!!

Answers

The predicted area of the circle is 49.67 cm²

Function and values

Given the expression that represents the least regression line as shown below:

log(Area) = 0.490 + 2.004log(time)

Given that the time after the stone is dropped is 4 seconds, the equivalent area is expressed as:

log(Area) = 0.490 + 2.004log(4)

log(Area) = 0.490 + 8.016

log(Area) = 1.6965cm

Area = 10^1.696

Area= 49.67 cm²

Hence the predicted area of the circle is 49.67 cm²

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the amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9%

Answers

The amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9% i

Calculating the amount

The formula for calculating amount is expressed as:

Amount = Principal + Interest

Determine the interest

Interest = 500*0.09 * 10

Interest = 5 * 90

Interest = $450

Principal= $500 - $450

Principal = $50

Hence the amount a person would have to deposit today to be able to take out 500$ a year for ten year from an amount earning 9% is $50

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Jaspare is planning a road trip. He has found 14 places that he wants to visit, but only has time to stop at 5 places. He is visiting the places in a specific order. How many different ways can he plan his trip?

Answers

The number of different ways to plan his trip is 240240

In how many different ways can he plan his trip?

The given parameters are

Places, n = 14

Stops, r = 5

From the question, we understand that the places are in specific order

This represents permutation

So, the number of different ways to plan his trip is

Ways = [tex]^nP_r[/tex]

This gives

Ways = [tex]^{14}P_5[/tex]

Apply the permutation formula

Ways = 14!/9!

Evaluate

Ways = 240240

Hence, the number of different ways to plan his trip is  240240

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Find the measure of KNM

Answers

1 Kilonewton meter [kNm] = 1 000 Newton meter [Nm] - Measurement calculator that can be used to convert Kilonewton meter to Newton meter, among others.

Given: p: x is a perfect square. q: x is even

What is a value of x that makes p and q true?

16
30
81
99

Answers

Answer:

16

Step-by-step explanation:

16: 16=4^2 and is even. 16/2=8

30: 30 is even, 30/2=15. However, the square root of 30 is between 5 and 6([tex]\sqrt{25}[/tex]and [tex]\sqrt{36}[/tex]).

81: 81=9^2, but 81 is not even. 81/2=40.5.

99: 99 is not even and doesn't have a square root. The square root of 100 is 10, so the square root of 99 is around 9.9, slightly less than 10.

how would you set up the equation: four executive integers whose sum is 30? (Ex: 3n + 3 = 144)

Answers

The required equation for the statement 'four executive integers whose sum is 30' is 4n + 6 = 30

In this question, we have been given a  statement 'four executive integers whose sum is 30'

we need to write an equation for above statement.

Let n, n + 1, n + 2, n + 3 be four consecutive integers.

The sum of these four consecutive integers is 30.

⇒ n + n + 1 + n + 2 + n + 3 = 30

⇒ (n + n + n + n) + (1 + 2 + 3) = 30

⇒ 4n + 6 = 30

which is a required equation.

Therefore, the required equation for the statement 'four executive integers whose sum is 30' is 4n + 6 = 30

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Help please picture attached

Answers

Answer:

(a) $878.24

(b) $848.30

(c) Amy would pay less for the golf clubs if she gets them directly from the distributor

Step-by-step explanation:

Part (a)

The wholesale price is $499. When the pro shop gets them from the distributor, it has to pay a mark-up of 10%. 10% expressed as decimal is 10/100 = 0.10

10% of 499 = 0.10 x 499 = 49.90

So total cost including markup for the pro shop is 499 + 49.90 = $548.90

We can compute this directly without computing mark-up cost using the formula

Cost = 499(1+0.10) = 499 x 1.1 = 548.90

The pro shop puts a mark up of 60% which in decimal is 60/100 = 0.6 on the above cost

So the price Amy pays = 548.90(1+0.6) = 548.90 (1.6) = $874.28

Part (b)

Wholesale price = $499

If Amy purchases directly from distributor there is a 70% markup on the wholesale price. 70% = 70/100 = 0.7

So the price Amy would have to pay = 499(1+0.7) = 499 x 1.7 = $848.30

Part (c)

Since the cost of purchasing directly from distributor is less than the cost of purchasing from pro shop the answer is

Amy would pay less for the golf clubs if she gets them directly from the distributor

Please help will give brainliest

Answers

h = 9.3 - V/πr² is an equivalent expression to V = πr²(9.3 - h) for cylindrical grain cilo.

What is volume?

Every three-dimensional item takes up space in some way. The volume of this area is what is used to describe it. The area occupied within an object's three-dimensional bounds is referred to as its volume. The object's capacity is another name for it.

Finding an object's volume can help us figure out how much of it will be needed to fill it, such as how much water will be needed to fill a bottle, aquarium, or water tank.

It is shown that Volume V = πr²(9.3 - h)

Lets divide both sides with πr²

V/πr² = πr²(9.3 - h)/πr²

         = 9.3 - h

Now, subtract 9.3 from both sides

V/πr²- 9.3  = 9.3 - h - 9.3

                 = -h

Now multiply both sides with -1

-1(V/πr²- 9.3) = -1(-h)

-V/πr² + 9.3 = h

h = 9.3 - V/πr²

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Solve for x.
12x + 7 < -11
OR 5x8 > 40

Answers

Answer:

-3/2

Step-by-step explanation:

x < -3/2

Katie is buying souvenir gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magnets are on sale for 50 cents each and the key chains cost $1 each. She must purchase at least 24 gifts and spend no more than $20. Let represent the number of magnets and represent the number of key chains.


Model the scenario with a system of inequalities.
Graph the system of inequalities and choose an appropriate solution for the scenario. Use complete sentences to prove why the solution is appropriate.

Answers

The inequalities to represent the situation is given as: x + y ≥ 36 and 2 x + 0.6 y < 40

The magnets are on sale for 60 cents each.

The key chains cost $2 each.

Katie must purchase at least 36 gifts but has to spend less than $40.

Now let x represent the amount of key chains.

Let y represent the amount of magnets.

So, the system of inequalities that form are:

x + y ≥ 36

and
2 x + 0.6 y < 40

Therefore, the inequalities to represent the situation is given as: x + y ≥ 36 and 2 x + 0.6 y < 40

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How do you find the range and domain of this graph?

Answers

Answer: Domain {-4,-2,2}

Range{4,6}

Step-by-step explanation:

Find the surface area or volume of each rectangular prism. Show your work on a
separate sheet of paper.

Answers

Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

a car rental company charges a daily rate of $26 plus $0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $71. How many miles did you drive?

Answers

Answer: 450 miles

Step-by-step explanation: we can put the info we got from the question into an equation. since the car was only rented for a day, the daily rate that was paid was $26. and $0.10 for every mile the car was driven. So we can put into the equation 71 = 26 +0.10m, where m represents miles. Now subtract 26 from both sides and we get 45 = 0.10m. Divide both sides by 0.10 and we get m= 450

Which matrix represents the system of equations shown below?
4x+2y=4
12x - y = 26
-2
OA. [12326]
12 -1 26
-4
OB. 12 -1 -26
4 2 14
OC. [2²1]
12 -1 26
4x 2y 4
OD. [12x ²Y |26]
-y

Answers

So matrix which show equation 4x+2y=4 is  [tex]\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right][/tex] .

Given that we have an equation that is 4x+2y=4

So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).

So in order to write this equation in matrix form we have to write it into augmented matrix

So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.

Therefore the matrix will be:

[tex]\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right][/tex]    .

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Ready
Linear Functions: Rate of Change and initial value
-Quiz-Level H
Joaquin's car has a full tank of gas at the start of a trip. The graph shows the amount of gas in the
tank, y, as a function of the distance traveled, x.
What is the initial value of the function?

Answers

Answer:

I can answer this is you provide a picture of the graph

Step-by-step explanation

The initial value of the graph is normally the y intercept of the graph. If you provide the graph linked to this question, I could answer it for you.

Answer:

10

Step-by-step explanation:

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