Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Who can wash more dishes in 3 hours? And by how many?​

Answers

Answer 1

Answer:

1. Jamaal

2. 42 more dishes

Step-by-step explanation:

1. Jamaal: 25 dishes per hour and works for 3 hours

25(3) = 75 dishes

Daniel: Daniel can wash 22 dishes every two hours.

22 = 2x

11 = x

11(3) = 33 dishes

2. 75 - 33 = 42

Jamaal can wash 42 more dishes than Daniel.

Answer 2

Jamaal washes 25 dishes per hour and works for 3 hours. Daniel can wash 22 dishes every two hours. Jamaal washed 42 more dishes than Daniel in 3 hours.

Let's calculate the number of dishes washed by each person in 3 hours and then compare the results.

Jamaal:

Jamaal washes 25 dishes per hour and works for 3 hours.

Number of dishes washed by Jamaal in 3 hours = 25 dishes/hour * 3 hours = 75 dishes

Daniel:

Daniel washes 22 dishes every two hours.

To find the number of dishes washed by Daniel in 3 hours, we need to find how many times he washes dishes in 3 hours.

Number of times Daniel washes dishes in 3 hours = 3 hours / 2 hours (time for 1 cycle) = 1.5 cycles

Now, multiply the number of cycles by the number of dishes washed per cycle:

Number of dishes washed by Daniel in 3 hours = 1.5 cycles * 22 dishes/cycle = 33 dishes

Comparison:

Jamaal washed 75 dishes in 3 hours.

Daniel washed 33 dishes in 3 hours.

Now, let's find the difference in the number of dishes washed by each person:

Difference = Jamaal's dishes - Daniel's dishes

Difference = 75 dishes - 33 dishes = 42 dishes

Therefore, Jamaal washed 42 more dishes than Daniel in 3 hours.

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Related Questions

What kind of function is
5x + 19y = 84 ? Thanks

Linear, slope-Intercept form Quadratic
exponential
linear, standard form

Answers

Answer:

It's a linear function.

Is xxx greater than, less than, or equal to 110^\circ110

110, degrees?

Answers

The angle z is equal to 110° by vertically opposite angles. Hence, the correct option will be C. z = 110°.

What is vertically opposite angles?

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Given;

The one angle is given as 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

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You enter a room. 2 dogs, 4 horses, 1 giraffe and a duck lie on the bed. 3 hens fly over a chair. How many legs are there on the floor

Answers

Answer:

10

Step-by-step explanation:

2 legs because you walked into the room and 4 legs of the bed and 4 legs of the chair.

Devin Gallagher purchased home entertainment equipment for $4,020.19 using the store's credit plan. He made
a 20% down payment.

Answers

Answer:

The answer will be $3216.152

Step-by-step explanation:

If you do the 20% of $4020.19 then the answer will came $804.038 and then subtract the result from $4020.19 then it will came $3216.152 and it is the result only.

On a 8.5 x 11 inches (or larger) paper, create a carnival game (for example it could be: throwing a dart at a target, ball through a hoop, ball in cup, etc).

Provide a written description of your game.
Your game must use at least two different geometric shapes.
Label the dimensions of the shapes with the measurements in real life. Draw on the paper using a scale factor.
For example, if the game has a 3 feet diameter, label 3 feet on the image, but draw it to scale, so that the model game is similar to the actual dimensions. If the scale is 1 foot = 2 inches, then 3 feet = 6 inches.
Find the probability of winning your game. Include the calculations to show the probability.
Determine the type of prize a winner would deserve and the cost of playing your game.

Answers

The probability of winning the game is 0.065

The description of the game

The game involves throwing two darts at two targets.

To win the game, the darts must hit anywhere in the following shapes

Rectangle: 5 by 4 inchesCircle: Radius, r = 3 inches

The probability of winning

The area of the paper is:

Area = 8.5 inches * 11 inches

Area = 93.5 square inches

The area of the rectangle on the paper is:

Area = 5 inches * 4 inches

Area = 20 square inches

The area of the circle on the paper is:

Area = π * (3 inches)²

Area = 28.3 square inches

The probability of landing on both shapes is

P(Both) = 20/93.5 * 28.3/93.5

Evaluate

P(Both) = 0.065

Hence, the probability of winning the game is 0.065

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Isaiah sketches a model of a skateboard ramp. The model has two surfaces on which to skate, represented by sides AB and AD in the diagram.

Triangle A B D is shown. A perpendicular bisector cuts angle B A D to form triangle A B C. Triangle A B C has angle measures 45, 45, and 90 degrees. Triangle A C D has angle measures 60, 30, and 90 degrees.

The steepest side of the model, AB, measures 4 inches. What is the length of the other skating surface, AD?
2 StartRoot 2 EndRoot in.
2 StartRoot 3 EndRoot in.
4 StartRoot 2 EndRoot in.
4 StartRoot 3 EndRoot in.

Answers

The length of the other skating surface AD of the ramp is 4√2 inches

What is an equation?

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

Sine rule shows the relationship between the sides and angles of a triangle.

Using sine rule:

AB / sinD = AD / sinB

4/sin(30) = AD / sin(45)

AD = 4√2 inches

The length of the other skating surface AD of the ramp is 4√2 inches

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(C.) 4√2

________

I got it wrong, the correct answer was revealed <3

Determine the intercepts of the line.

Do not round your answers.

-4x + 7y = 3

Answers

The x and y-intercepts are (-3/4, 0) and (0, 7/3) respectively

How to determine the intercepts of a line

The y-intercept is the point where the value of x is zero while the x-intercept is the point where the value of y is zero

Given the function below;

-4x + 7y = 3

For the x-intercept

-4x = 3

x = -3/4

The x-intercept is (-3/4, 0)

For the y-intercept

7y = 3

y = 3/7

The y-intercept is (0, 7/3)

Hence the x and y-intercepts are (-3/4, 0) and (0, 7/3) respectively

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Solve for the remaining angles

Answers

By knowing the length of the three sides of the triangle and applying the law of the cosine, we find that the measure of the three angles are 33.544°, 114.998° and 31.458°.

How to find the missing angles of a triangle

In this question we know the length of the three sides of a triangle, we can find the measure of all angles by using the law of the cosine. So, we know that:

a = 270, b = 442.85, c = 255

Then, by the law of the cosine:

[tex]\cos A = \frac{270^{2}-255^{2}-442.85^{2}}{-2\cdot (442.85)\cdot (255)}[/tex]

A ≈ 33.544°

[tex]\cos B = \frac{442.85^{2}-270^{2}-255^{2}}{-2\cdot (270)\cdot (255)}[/tex]

B ≈ 114.998°

[tex]\cos C = \frac{255^{2}-270^{2}-442.85^{2}}{-2\cdot (270)\cdot (442.85)}[/tex]

C ≈ 31.458°

By knowing the length of the three sides of the triangle and applying the law of the cosine, we find that the measure of the three angles are 33.544°, 114.998° and 31.458°.

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y ( x + w ) = c ( x + z )

Answers

The formula for x in terms of other terms in the equation is; x = (cz-yw)/(y-c).

What is the formular for x in term of other terms in the equation?

According to the task content, it follows that the variable X is to be made the subject of the formula;

Hence, it follows that;

y ( x + w ) = c ( x + z )

yx +yw = cx +cz

x(y-c) = (cz-yw)

x = (cz-yw)/(y-c)

Remarks: The complete question requires that x be made the subject of the formula.

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HELP HELO
HELP GELP GELP GELP HLEP

Answers

Answer:

A.  <T=17, RS= 10

Step-by-step explanation:

These triangles are congruent by AAS congruency. This means that RS and UV will have the same measure and so will <Q and <T. Simply use that info with the measurements given.

Solving for <T:

8y-44 = 5y+7

3y = 51

y = 17

Solving for RS:

7x-2 = 5x+18

2x = 20

x = 10

Jane wants to buys some lollipops. If she buys 2 lollipops, she will have 3 dollars left. If she wants to buy 3 lollipops, she will need 2 more dollars. Jane has ___ dollars.

Answers

Since Jane wants to buys some lollipops, Jane has $13 dollars.

To answer the question, we need to solve simultaneous equations

What are simultaneous equations?

Simultaneous equations are pairs of equations that contain two unknowns

How to calculate how much Jane has using simultaneous equations

Let

x = price per lollipop and y = total amount Jane has

We know that If she buys 2 lollipops, she will have 3 dollars left, so we have that

y - 2x = 3  (1)

Also, If she wants to buy 3 lollipops, she will need 2 more dollars. So, we have that

y + 2 = 3x  (2)

The required simultaneous equations

So, the required simultaneous equations are

y - 2x = 3  (1)

y + 2 = 3x  (2)

From (1), x = (y - 3)/2

Substituting x into (2), we have

y + 2 = 3x  (2)

y + 2 = 3(y - 3)/2  

2(y + 2) = 3(y - 3)

2y + 4 = 3y - 9

2y - 3y = -9 - 4

-y = -13

y = -13/-1

y = 13

So, Jane has $13 dollars.

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Find the gradients of lines A and B.
B
141
12
Hol
8
NO 9 go
6
41
2
-3-2-10
-2
-4
-6
A
2 3 4 5
7x

Answers

Let's see

For line A

(2,2)(3,6)

Slope

m=6-2/3-2m=4/1m=4

For line B

(1,6)(2,4)

Slope

m=4-6/2-1m=-2/1m=-2

end behavior of f(x)= 10/x^2-7x-30

Answers

By applying definition of limits, the end behavior of the rational function f(x) = 10/(x² - 7 · x - 30) is represented for the horizontal asymptote x = 0.

What is the end behavior of a rational function

The end behavior of a rational functions is the horizontal asymptote of the rational function when x tends to ± ∞. Then, we find the end behavior by applying limits:

[tex]\lim_{x \to \pm \infty} \frac{10}{x^{2}-7\cdot x - 30}[/tex]

[tex]\lim_{n \to \infty} \frac{10}{x^{2}-7\cdot x - 30}\cdot \frac{x^{2}}{x^{2}}[/tex]

[tex]\lim_{x \to \pm \infty} \frac{\frac{10}{x^{2}} }{1 - \frac{7}{x}-\frac{30}{x^{2}}}[/tex]

[tex]\lim_{x \to \pm \infty} 0[/tex]

0

By applying definition of limits, the end behavior of the rational function f(x) = 10/(x² - 7 · x - 30) is represented for the horizontal asymptote x = 0.

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Find the equation of a line in slope intercept form that is perpendicular to the line y = 2x + 6 through the point (10,4)

Answers

The equation of the straight line is y = -1/6(x - 10) + 4

How to determine the line equation?

The equation is given as:

y = 2x + 6

Linear equations are represented as:

y = mx + c

Where:

Slope = m

So, we have:

m = 6

The slopes of perpendicular lines are represented as:

n = -1/m

So, we have:

n = -1/6

The equation is then represented as:

y = n(x - x1) + y1

This gives

y = -1/6(x - 10) + 4

Hence, the equation of the straight line is y = -1/6(x - 10) + 4

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A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics problems. Students are not expected to complete all of the questions, but are graded on the number they are able to get correct in the time limit. What component of mathematics fluency is most likely the goal of this type of assessment

Answers

The component of mathematics fluency is most likely the goal of this type of assessment is Rate.

GIven,

A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics problems.

The component of mathematics fluency is most likely the goal of this type of assessment is Rate.

The school district is assessing the rate because they are seeing how many questions students can answer in a given time frame.

Hence, The component of mathematics fluency is most likely the goal of this type of assessment is Rate.

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Which answer shows y+2x<4x-3, rewritten to isolate y, and its graph

Answers

The answer choice which shows y+2x<4x-3, rewritten to isolate y is; y < 2x -3.

What is the rewritten form of the equation in which case y is isolated?

From the task content, it follows that the inequality given in the task content is; y+2x<4x-3.

Hence, the variable y can be isolated from the inequality as follows;

y+2x<4x-3

y < 4x -2x -3

y < 2x -3.

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Triangle FIT has been reflected over the y-axis. Which of the following best describes the relationship between the y-axis and the line connecting F to F′?

They share the same midpoints.
They are diameters of concentric circles.
They are perpendicular to each other.
They are parallel and congruent.

Answers

The relationship between the y-axis and the line connecting F to F′ is (c) They are perpendicular to each other.

How to determine the relationship?

When a triangle FIT is reflected over the y-axis, the image and the pre-image of the triangle would be at either sides of the y-axis.

This means that the points on the image and the pre-image of the triangle are perpendicular to each other

Hence, the relationship between the y-axis and the line connecting F to F′ is (c) They are perpendicular to each other.

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Paladin furnishings generated $4 million in sales during 2021, and its year end total assets were $3.2 million. also, at year end 2021 current liabilities were $500,000, consisting of $200,000 of notes payable, $200,000 of accounts payable, and $100,000 of accrued liabilities. looking ahead to 2022 the company estimates taht its assets must increase by $.80 for every $1.00 increase in sales. paladin's profit margin is 3% and its retention ratio is 50%. how large of a sales increase can the company achieve without having to raise funds externally?

Answers

Without having to raise funds externally sales could increase by $84,507.04.

Given that $4 million sales in 2021 and in end of the year total assets are $3.2, current liabilities are $500,000, payable notes are $200,000, accounts payable is $200,000 and accrued liabilities are $100,000 and in 2022 assets must increase by $.80 for every $1.00 increase in sales.

The amount of sales increase that the company can achieve without having to raise funds externally is calculated by multiplying the current year sales with the self-supporting growth rate.

Current Year Sales = $4,000,000

Profit Margin = 3.00%

Dividend Payout Ratio = 50%

Therefore, the Retention Ratio = 50%

Total Spontaneous Liabilities is, $200,000 + $100,000=$300,000

Last Year Total Assets = $3,200,000

Therefore, the Self-supporting Growth Rate=Addition to Retained Earnings÷[Total Assets–Total Spontaneous Liabilities-Addition to Retained Earnings]

= [Last year sales×Profit Margin×(1-Dividend Payout Ratio)]÷[Total Assets-Total Spontaneous Liabilities-Addition to Retained Earnings]

= [$4,000,000×0.03×(1–0.50)]÷[$3,200,000-$300,000–{[$4,000,000×0.04×(1–0.050)}]

= $60,000÷[$3,200,000-$300,000-$60,000]

= $80,000÷$2,840,000

= 0.02112676 or 2.112676%

Therefore, the increase in sales that the company can achieve without having to raise funds externally = Last Year Sales×Self-supporting Growth Rate

= $4,000,000×2.112676%

= $84,507.04

Hence, the Increase in Sales so the company achieve without having to raise funds externally $84,507.04”

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The graph shows the cube root parent function.

Which statement is true?

A. (0, 0) is the x- and y-intercept of the function.
B. The function has no intercepts.
C. (0, 1) is the x- and y-intercept of the function.
D. (1, 1) is the x- and y-intercept of the function.

Answers

Answer:

A)

Step-by-step explanation:

The cube root parent function is [tex]y=x^3[/tex]

When y=0, x=0, hence (0,0) is the x and y-intercept of the function.

Hope I helped!

Please help! Which of the following is a solution to the system of two equations y = 3x - 7 and 4x - 5y = -20?

a.) (5,8)

b.) (10,12)

c.) 2,-1)

d.) 9,20)

Answers

Answer:

a

Step-by-step explanation:

y = 3x - 7 → (1)

4x - 5y = - 20 → (2)

substitute y = 3x - 7 into (2)

4x - 5(3x - 7) = - 20

4x - 15x + 35 = - 20

- 11x + 35 = - 20 ( subtract 35 from both sides )

- 11x = - 55 ( divide both sides by - 11 )

x = 5

substitute x = 5 into (1)

y = 3(5) - 7 = 15 - 7 = 8

solution is (5, 8 )

HELP please, last question!​

Answers

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

Fig. D is correct

[tex]\textsf{ \underline{\underline{Explanation } }:}[/tex]

" when rays parallel to optical axis/ principal axis fall on a concave mirror it passes through focus of mirror after reflection "

[tex] \qquad \large \sf {Conclusion} : [/tex]

Fig. D is correct

Which graph represents StartFraction (x minus 2) squared Over 16 EndFraction minus StartFraction (y + 1) squared Over 9 EndFraction less-than-or-equal-to 1?

Answers

The attached graph represents the graph of [tex]\frac{(x - 2)^2}{16} - \frac{(y + 1)^2}{9} \le 1[/tex]

How to determine the graph?

The inequality is given as:

[tex]\frac{(x - 2)^2}{16} - \frac{(y + 1)^2}{9} \le 1[/tex]

The above inequality represents a conic section.

The inequality symbol <= implies that, we make use of a closed line on the graph.

Next, we plot the graph using a graphing tool

See attachment for the graph of [tex]\frac{(x - 2)^2}{16} - \frac{(y + 1)^2}{9} \le 1[/tex]

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Complete question

Which graph represents [tex]\frac{(x - 2)^2}{16} = \frac{(y + 1)^2}{9}[/tex]?

Answer:

C

Step-by-step explanation:

Got it right on Edge

David buys a beanie baby. he later sells it to jessica and loses $3 on the deal. jessica makes a profit of $6 by selling it to bryan for $25. how much did david pay for the beanie baby?

Answers

David paid $22 for the beanie baby.

Profit and loss formulas are used to calculate the profit or loss that has been incurred by selling a particular product. They are mainly used in business and financial transactions to depict how much profit or loss a trader has incurred from any particular deal.

Let the cost which  David pay for the beanie baby be x and y be the price at which Jessica bought the beanie baby

Profit formula :

Profit = Selling price (S.P.) - Cost price (C.P.)

So using the profit formula

$6 = $25 - y

$19 = y

Now using the same equation for David

-$3 = $19 - x

$22 = x.

Thus David paid $22 for the beanie baby.

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The final exam test scores were: 62, 66, 71, 75, 75, 78, 81, 83, 84, 85, 85, 87, 89, 89, 91, 92, 93, 94, 95, 99. Find the percentile rank for a score of 85 on this test.

Answers

Using it's concept, the percentile rank for a score of 85 on this test is the 50th percentile.

What is the percentile of a measure?

When a measure is in the xth percentile of a data-set, it is greater or equal than x% of the measures and lesser than (100 - x)%.

In this problem, there are 20 scores, and 85 corresponds to the 10th highest score, hence the percentile is given by:

p = 10/20 = 0.5 x 100% = 50th percentile.

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Express each ratio as a unit rate. Round to the nearest tenth, if necessary.

140 miles on 6 gallons
a.
23.3 mi/gal
c.
0.042 mi/gal
b.
840 mi/gal
d.
13.6 mi/gal


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

23.3 mpg

Step-by-step explanation:

For the unit rate of miles per gallon (mpg)

140 miles / 6 gallons = 23 1/3   mpg  = 23.3 mpg

The required ratio as a unit rate is 23.3 mi/gal, which is determined by dividing the number of miles by the number of gallons.. The correct answer is option (a).

To express each ratio as a unit rate (mi/gal), we need to divide the number of miles by the number of gallons.

The units rate can be calculated as:

Units rate = number of miles / the number of gallons.

Unit rate = 140 miles / 6 gallons

Apply the division operation to get:

Unit rate = 23.3 mi/gal

Thus, the required ratio as a unit rate is 23.3 mi/gal.

Hence, the correct answer is option (a).

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Geometric probability

Answers

7+3+8+3=21 fishes in total
8/21 fishes are healthy
8/21 = 0.4 => 40%

Answer:

71.4%

Step-by-step explanation:

7+3+8+3=21 total fish

7+8=15 healthy fish

15÷21=0.7142=71.4%

A napkin is folded into an isosceles triangle, triangle ABC, and placed on a plate, as shown. The napkin has a perimeter of 38 centimeters.

Isosceles triangle A B C is shown. The length of A C is 8 centimeters and the lengths of sides A B and B C are congruent. Side A B has length c and side B C has length a. Angle A B C is 30 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin?

16 square centimeters
30 square centimeters
56 square centimeters
60 square centimeters

Answers

The napkin covered approximately 56 square centimeters of the plate. The third option is correct.

What is the area of an isosceles triangle?

The area of an isosceles triangle can be estimated by using the trigonometric function:

[tex]\mathbf{=\dfrac{1}{2} \times a \times b\times sin (C)}[/tex]

From the given information:

The base angle and sides of an Isosceles triangle are equal.

The perimeter of the triangle:

P = a + b + c

38 = a + 8 + c

where;

a = c  (base  sides)

So;

38 = 8 + 2a

38 - 8 = 2a

2a = 30

a = c = 15

Similarly, ∠ABC = 30

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

∠A + 30 + ∠C = 180

∠A = ∠C = x

2x = 180 - 30

2x = 150

x = 150/2

∠A = ∠C = x  = 75°

Using the trigonometric function:

[tex]\mathbf{=\dfrac{1}{2} \times (15) \times (8) \times sin (75)}[/tex]

= 56 square centimeters.

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Answer: Option C

Step-by-step explanation:

Edge 2020

help me please!!!!!!!! 20 points

Answers

Answer:

14 in^2

Step-by-step explanation:

Break the figure up into two rectangles (vertical line down the middle). Use the formula area = length x width for the Rectangle A (2 in x 4 in = 8 in^2) and Rectangle B (3 in x 2 in = 6 in^2) Add 8 in^2 and 6 in^2 for a total area of 14 in^2

I need help fast please​

Answers

Answer:

3.4

Step-by-step explanation:

[tex]Interval=\frac{4-2.2}{9}\\Interval=0.2\\therefore :\\ 6 intervals =6(0.2)\\ 6 intervals =1.2\\x=2.2+1.2\\x=3.4[/tex]

A school survey asked students which candidate they supported for class president. The survey data are shown in the relative frequency table. What percentage of females polled supported Martinez?
A:30%
B:58%
C: about 56%
D:about 54%

Answers

A. 30%
0.24+0.30+0.18+0.28 = 1.0 and in the chart about 0.30 were females that voted for Martinez and to find a percentage from a decimal you multiple by 100 so 0.30 times 100 = 30%

Answer:

About 56%

Step-by-step explanation:

Other Questions
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