How much more can paula shovel in 1 minute than melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

Answer 1

Paula shovels 3 square feet more than Melinda in 1 minute.

We are given two equations relating the distance covered by each while they shovel. Assuming the x to be representative of Melinda's speed and y to be representative of Paula's speed. Making at least one coefficient same for both the equation.

Equation 1 : 30x + 30y = 450

Equation 2 : 20x + 25y = 345

Dividing equation 1 and equation 2 by 5.

Equation 3 : 6x + 6y = 90

Equation 4 : 4x + 5y = 69

Multiplying equation 3 with 4 and equation 4 with 6.

Equation 5 : 24x + 24y = 360

Equation 6 : 24x + 30y = 414

Subtracting Equation 5 from Equation 6.

  24x + 30y = 414

- 24x + 24y = 360

6y = 54

y = 9

Keep the value of y in equation 3

6x + 6×9 = 90

6x + 54 = 90

6x = 90 - 54

6x = 36

x = 6

So, Melinda's speed is 6 square feet per minute and Paula's speed is 9 square feet per minute.

Difference between speed = 9 - 6

Difference = 3 square feet per minute

Hence, Paula's speed is 3 square feet per minute more than Melinda.

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The complete question is -

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.

30x + 30y = 45020x + 25y = 345

How much more can Paula shovel in 1 minute than Melinda?

3 square feet per minute

6 square feet per minute

9 square feet per minute

15 square feet per minute

Answer 2

Answer:

A: 3 square feet per minute

Step-by-step explanation:


Related Questions

Please help me!!!!!!!

Please help me!!!!!!!

Answers

Answer:

Step-by-step explanation:

we are given that one angle is 40 degrees. The right angle below that is 90 degrees. Right angles will always equal 90 degrees. with the two angles how do we solve. Triangles no matter what will always be 180 degrees so,

40+90+x=180

130+x=180

-130     -130

x=50 degrees

Answer:

b

Step-by-step explanation:

..........................................

The angle measures of a triangle are shown in the diagram



what is the value of x?
pls hurry its due soon

The angle measures of a triangle are shown in the diagramwhat is the value of x?pls hurry its due soon

Answers

Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.


From the graph of the function, determine the domain and the range.

Domain: [0, 4] Range: [0, 4]

Domain: (-4, 4) Range: (0,4)

Domain: (-4, 4] Range: [0, 4]

Domain: [0, 4] Range: (-4, 4]

From the graph of the function, determine the domain and the range.Domain: [0, 4] Range: [0, 4]Domain:

Answers

Answer:

Domain: (-4, 4) Range: (0,4)

Step-by-step explanation:

Domain is the furthest left and right points on the x-axis while the range is the same but instead of it being the x-axis, it would be the y-axis. The graph shows -4 to 4 being the domain and 0 to 4 being the range.








4. Mark says to do the problem 12 % + 3 %, you just find 12 +3 =4 and % +3/4=1/3 to get 4- How do you respond?

Answers

Mark's approach to solving the problem is incorrect.

We have,

To find the sum of percentages, you cannot simply add the numbers together as you would with regular numbers.

Percentages represent proportions or ratios, so they must be converted to their corresponding decimal or fraction forms before adding them.

To solve 12% + 3%, you need to convert each percentage to its decimal form and then add the decimals together.

Here's the correct approach:

12% = 12/100 = 0.12

3% = 3/100 = 0.03

Now, add the decimals:

0.12 + 0.03 = 0.15

Therefore,

The value of 12% + 3% is 0.15 or 15%.

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Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?

Answers

she received $60 on her birthday


An inscribed angle and a central angle intercept the same arc. The inscribed angle is
the arc.
Select one:
of
O a. half
O b. equal to
O c. twice

Answers

Answer:

Half

Step-by-step explanation:

An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.

An image is inserted for your reference.

Which two numbers does √√61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and Which two numbers does √√61 lie between on a number line ? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and 8.1​

Which two numbers does 61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm

Answers

Answer:

B) 7.8 and 7.9

Step-by-step explanation:

Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9

Answer:

√61 lie between 7.8 and 7.9

All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?

Answers

Answer:

21

Step-by-step explanation:

24 play volleyball

15 play soccer

Softball= 60-(24+15)=21

or

2/5 = 40%

100% -(40+25)= 35%

60x0.35=21

find the equation of the line shown ​

find the equation of the line shown

Answers

Answer:

y = (1/2)x

Step-by-step explanation:

y = mx + b

The line passes through point (0, 0), so b = 0

y = mx

Going from point (0, 0) to point ( 2, 1), rise = 1, and run = 2.

slope = rise/run = 1/2

The slope, m, is 1/2.

y = (1/2)x

How do you find the tenth term in this sequence

How do you find the tenth term in this sequence

Answers

Answer:

should be none of the about because each time you multiple by 1/2, i got 1/64 for the 10th

Step-by-step explanation:

The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+

Answers

Answer:x+3

Step-by-step explanation:

5×3=15

5+3=8x

Answer:

A

Step-by-step explanation:

Quickk!
Chris will spend at most $21 on gifts. So far, he has spent $13. What are the possible additional amounts he will spend? Use c for the additional amount (in dollars) Chris will spend. Write your answer as an inequality solved for c.

Answers

Answer:

he will probaly only spend $7 more

Please help Quickly Look At Image.

Please help Quickly Look At Image.

Answers

Answer:

abc- 130

ebd-130

abe-50

Step-by-step explanation:

What is the inverse of f(x)=2x^2+4x? Please show work.

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)

\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)

Whether the function is even or odd

Whether the function is even or odd

Answers

The given graph is not symmetric with respect to the y-axis. Hence, this is not  even function.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.

An example of a rule is a function, which produces one output for a single input.

If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.

The given graph is not symmetric with respect to the y-axis. Hence, this is not  even function.

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Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 93, p = 0.48: P(X ≤ 48)

Answers

The probability that X is less than or equal to 48 is approximately 0.023.

To use the normal approximation, we first need to check if the conditions are met:

1. The sample size is large enough: n*p = 93*0.48 = 44.64 and n*(1-p) = 93*0.52 = 48.36, both greater than 10.

2. The observations are independent: we assume that the sample is random and that the sample size is less than 10% of the population size.

Given these conditions, we can use the normal distribution to approximate the binomial distribution.

We standardize X using the formula:

z = \((X - n*p) / \sqrt{(n*p*(1-p)) }\)

Substituting the values, we get:

z = (48 - 93*0.48) / sqrt(93*0.48*0.52) = -1.99

Using a standard normal distribution table or calculator, we can find the probability:

P(X ≤ 48) ≈ P(z ≤ -1.99) = 0.023

Therefore, the probability that X is less than or equal to 48 is approximately 0.023.

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Estimate the quotient 4558 divided by 43

Answers

Answer:

the answer is 106

Step-by-step explanation:

4558÷43=106

Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.


P goes and sits down on stool 4. Q does not want to sit on a stool that is immediately next to P's. Keeping this in mind, in how many different ways could Q, R and S arrange themselves on the remaining stools?


A) 6
B) 4
C) 3
D) 2

Four people P, Q, R and S have to sit on the four stools marked 1, 2, 3 and 4.P goes and sits down on

Answers

the answer is B I’m pretty sure

Evaluate the line integral
6 integral yzcosx ds x = t, y = cost, z = sint 0 < t < pi

Answers

It looks like the integral is

\(\displaystyle 6 \int yz\cos(x) \, ds\)

With \(x=t\), \(y=\cos(t)\), and \(z=\sin(t)\), the line element is

\(ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2 + \left(\dfrac{dz}{dt}\right)^2} \, dt = \sqrt2 \, dt\)

and so

\(\displaystyle 6 \int yz\cos(x) \, ds = 6\sqrt2 \int_0^\pi \cos^2(t) \sin(t) \, dt\)

Substitute \(u = \cos(t)\) and \(du=-\sin(t)\,dt\), then

\(\displaystyle 6 \int yz\cos(x) \, ds = -6\sqrt2 \int_1^{-1} u^2 \, du = 12\sqrt2 \int_0^1 u^2 \, du = \boxed{4\sqrt2}\)

where in the second-to-last equality, we have

\(\displaystyle -\int_1^{-1} = \int_{-1}^1\)

and

\(\displaystyle \int_{-1}^1 u^2 \, du = 2 \int_0^1 u^2\,du\)

by symmetry.

f (x) = 3x +2
fine the inverse of the function

Answers

.................F^-1 (x) =x/3-2/3 .................

Roberto wrote a sentence that describes an equation.

Half of a number is 45.

Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90

Answers

Answer: D: x/2 = 45; x = 90

Step-by-step explanation:

half of a number is 45:

x/2 = 45

.: x = 90

Your answer is D

Answer:

D

Step-by-step explanation:

According to data from 2015, women's shoe sales in the us are roughly normally distributed by shoe size with a mean of size 8 and a standard deviation of 1.25 sizes.

a) if a women's shoe sold in the us is a size 7.5, what is the z-score?

b) what size of women's shoe would have a z-score of 1.3?

c) if a women's shoe sold in the us is a size 9, what is the z-score and percentile? z-score:
percentile:

d) what size of women's shoe would have a z-score of -1.5? what percentile is that? shoe size:
percentile:

e) what women's shoe size represents the 80th percentile? z-score:
shoe size:

Answers

a) The z-score for a shoe size of 7.5 is approximately -0.4.

b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.

c) The z-score for a shoe size of 9 is approximately 0.8.

d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.

e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.

a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.

b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.

c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.

d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.

e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.

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DO I HAVE TO BUY THE "PLUS" VERSION TO THIS WEBSITE IN ORDER TO GET EXPERT VERIFIED ANSWERS ON MY QUESTIONS?

Answers

Answer and Step-by-step explanation:

No, you don't have to pay for anything to get expert-verified answers on your questions.

I'm not completely sure, but it could raise the chances of getting your answers to be that, or to have other people with those types answer your questions.

But no, you don't have to pay for anything. I didn't have to pay for anything and I got my answers to be expert verified in the past.

#teamtrees #PAW (Plant And Water)

The data below shows the temperature (X) and the amount a plant grew(Y) in millimeters, for each of nine randomly selected days. Calculate the correlation coefficient, r. Perform the hypothesis test to determine if rho = 0 and determine the p-value. If y cap = 1.905x + 5.055, and the sigma(Z_x middot Z_y) = 8.875

Answers

The correlation coefficient (r) for the given data is 0.926, indicating a strong positive linear relationship between temperature (X) and plant growth (Y).

The calculated correlation coefficient of 0.926 indicates a strong positive linear relationship between temperature (X) and plant growth (Y). The correlation coefficient ranges from -1 to 1, where values close to 1 indicate a strong positive correlation. In this case, a value of 0.926 suggests that as temperature increases, the amount of plant growth also tends to increase.

To perform the hypothesis test we compare the p-value to the chosen significance level (typically 0.05). The p-value represents the probability of obtaining a correlation coefficient as extreme as the observed value (or more extreme) if the null hypothesis were true (rho = 0). If the p-value is smaller than the significance level, we reject the null hypothesis in favor of the alternative hypothesis, indicating that there is a significant correlation.

In this case, the p-value is less than 0.05, which means the probability of observing a correlation coefficient as extreme as 0.926 (or more extreme) under the assumption of no correlation is very low. Therefore, we reject the null hypothesis and conclude that there is a non-zero correlation between temperature and plant growth.

Note: The provided equation "y cap = 1.905x + 5.055" and the value "sigma(Z_x middot Z_y) = 8.875" are not directly used in calculating the correlation coefficient or performing the hypothesis test. They may be additional information given for the purpose of further analysis or calculations.

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Tammy, John, Allison and Henry paid a total of $45 for movie tickets at the theater. Each movie ticket was the same price. How much did each person pay for a movie ticket

Answers

Each person (Tammy, John, Allison, and Henry) paid $11.25 for a movie ticket.

To determine the cost of each movie ticket, we will divide the total amount paid by the number of people who bought tickets.

Total amount paid: $45
Number of people: Tammy, John, Allison, and Henry (4 people)

Step 1: Divide the total amount paid by the number of people.
$45 ÷ 4 = $11.25

So, Allison and each of her friends paid $11.25 for a movie ticket.

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see image for question. HELP PLEASE

see image for question. HELP PLEASE

Answers

Answer: the last question at the very bottom

Step-by-step explanation:

the graph is not a scatter plot, so its a line plot .

not every linearly independent set in set of real numbers r superscript ℝn is an orthogonal set. T/F?

Answers

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

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Graph y = -3/2 x-3

It would be helpful if you wrote the coordinates I have to change them to !!!

Graph y = -3/2 x-3It would be helpful if you wrote the coordinates I have to change them to !!!

Answers

Answer:

(-2,0),(0,-3)

Step-by-step explanation:

Set x to zero to find the Y intercept which is (0,-3)

Set Y to zero and use algebra to find out the x intercept which is (-2,0)

help me Please!!!!!!​

help me Please!!!!!!

Answers

Answer:

Step-by-step explanation:

Angle QRS is an inscribed angle. The rule is that an inscribed angle is half the measure of the arc it cuts off; in other words, the measure of the arc is double the measure of its inscribed angle. If the angle is 84, then the arc is

84(2) = 168.

14x^7/7x simplified?

Answers

Answer:

2x^6

Step-by-step explanation:

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A pressure vessel has a design pressure of 50 bar. However the safety case for the chemical plant on which it is to be used requires that the pressure vessels have a 95% probability of surviving a pressure of 70 bar. Computer codes have generated an estimate of only 0.80 for the probability that any such pressure vessel, picked at random, will survive at 70 bar. However, they have also calculated that of the 20% of the pressure vessels that will not survive a pressure of 70 bar, 40% will fail under a pressure of 58 bar or less, while 80% will fail under a pressure of 65 bar or less. It is decided that an over-pressure test needs to be used to give reassurance on the behaviour of this particular pressure vessel. This test may be carried out at either 58 bar or 65 bar. The lower pressure test is considerably less difficult and cheaper to administer. (i) Suppose that you are brought in as a consultant. By calculating the probability of the pressure vessel being able to support the 70 bar maximum pressure if the over-pressure test is passed, advise on which over-pressure test should be administered. Suppose a 12kg of bicycle was traveling at a speed of 20m/s . Now , this mass transfers all its energy to a mass of 20kg . What will be the velocity of the 15kg mass after being hit by it? smith has debts of 1000 due now and 1092 due two years from now. he proposes to repay them with a single payment of 2000 one year from now. what is the implied effective annual interest rate if the replacement payment is accepted as equivalent to the original debts? When shopping for a new router, what does the mtbf tell you? What type of economic system was used in Colonial America? What does this quote from the Declaration of Independence mean in your own words?"We hold these truths to be self evident that all men are created equal; that they are endowed by their Creator with certain unalienable rights; that among these are life, liberty, and the pursuit of happiness in 1865, a number of southern states passed black codes in order Question 14 (1 point)Select the items that are influenced by jet streams. Make sure to select all thatapply.car travelprecipitationO temperatureatmospheric chemistry The ecosystems perspective in social work focused on: Group of answer choices a)The role federal government plays in social welfare b)The person in environment c)Community networking d)Systems theory The chart below shows the number of tickets to the annual teachers VS.students basketball game. What was the most number of tickets sold?A. 12B. 31C. 40D. 60 help me pls now its late and i need to turn it in. 1. Find the value of x for which is parallel to m. The figure is not to scale. 60 150 90 30 30 Y 60 5. Each of the letters of the word 'SUCCESS' is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears:(a) the letter 'S'(b) a vowel(c) letter 'A' Please help me Pleaseee hellllppppp asap explain 5 advantages of transport to the business Hello. I am Turkish. And now I need your help with English. Can you do it?I need to do this. I really need it. Can you do it all? Which of the following was the first union in the united states? A. Knights of LaborB. American Federation of Labor C. American Railway Union What is the ICD-10 code for Nausea and vomiting? A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. The family paid for the furnishings, plus 4.5% tax on the purchases. The decorators fee was 12% of the purchases, not including the tax.Part AWrite an equation in the form of y=kx, using x to represent the decorators fee. Then use the equation to calculate the amount of that fee.y=____x$__Write an equation in the form of y=kx to represent the tax. Then use the equation to calculate the amount of tax.Part By=k___x$___Part CWhat is the total cost that the family paid?$___ how might an advertiser judge the effectiveness of the internet compared to other media? click rates landing pages worms digital signatures trojans