Suppose that a person with a push mower can mow a large lawn in 2 hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working together, how long will it take to mow the lawn

Answers

Answer 1

Working together, the job takes x hours to do.

If a lawn can be mowed with a push mower is 2 hours, then in 1 hour, you do 1/2 of the job.

If the same lawn can be mowed with a riding mower in 1 hour, then in 1 hour you do 1 job.

If the same lawn can be mowed by the two mowers together in x hours, then in 1 hour you get 1/x done.

1/2 + 1 = 1/x

3/2 = 1/x

x = 2/3

They take 2/3 of an hour. 2/3 * 60 min = 40 minutes.

Answer 2

2/3 hours take to mow the lawn.

what is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Time taken to mow by push mower= 2 hours

Time taken to mow by riding mower= 1 hours

So, if working together the time taken

= 1 / (1/2 + 1/1)

=1/ (3/2)

= 2/3

Hence, it will take 2/3 hours.

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Related Questions

Find the equation of the ellipsoid passing through the points (±7,0,0),(0,±1,0)(±7,0,0),(0,±1,0) and (0,0,±4)

Answers

i think its 1 answer one it think

Which linear inequality is represented by the graph?
a.y >2/3 x – 2
b.y < 2/3x + 2
c.y2/3 > 2/.+ 1
d.y<2/3 x – 1

Answers

The answer is D since is the only one that has the correct y intercept

which expression is represented by the model below?

Answers

A I’m pretty sure. Hopefully that helps

dr. lee went to a bank to get a loan for some new furniture for the waiting area at her clinic. she wanted to borrow $5,000 to be paid back over 3 years. last week the interest rate was 4.25%. but this week theinterest rate went up to 4.50%. how much additional interest will Dr. lee pay because she waited the extra week

Answers

5000*(4.50%-4.25%)= 5000*0.25%=12.5 dollars

additional interest is 12.5 dollars.

A family pass to amusement park cost $54 using the distributive property write an expression that can be used to find the cost in dollars of 8 family

Answers

8(50+4)

I hope this helped! :))

How many more equal angles does a square have than a rectangle

Answers

both squares and rectangles have 4 right angles, so a square doesn't have any more equal angles than a rectabgle

Which of the following is the best example of a characteristic of an experiment?

a.Participants should be selected into the treatment group randomly.
b.Participants are rarely aware that they are part of an experiment.
c.Participants are observed without researchers making changes to their behaviors.
d.The results of an experiment are based on a questionnaire given to a random sample of the population.

Answers

The correct answer is C

The correct option is A.
One of the basic feature of an experiment is the selection of participants by means of random method. It is very important to select participants randomly in order to avoid experimental bias that may occur as a result of the participants not been an exact representation of the concerned population.

Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together e evenings.

Answers

number of minutes playing chess: m

number of evening playing chess: e

number of minutes = 30 minutes / play * number of evening playing chess

=> m = 30e

Answer: m = 30e

Enter the degree of the polynomial
5x5 + 8x2 + 2x – 3x9 – 8x4 – 4x5

Answers

The degree of a polynomial is the highest degree of any term.
The degree of a term is the sum of the exponents of all the variables of the term,. A plain variable has degree 1.
One term is -3x^9.
That has the largest exponent of any term, so the degree is 9.

Answer:

Step-by-step explanation:

I got it right on ape-x

Information about a shipment of mirrors to a local store is shown.

Of all of the medium mirrors that were shipped, how many of them were broken?
A. 68
B. 78
C. 164
D. 208

Answers

We don't know the total of the medium mirrors, but we know that in all there are 480 mirros. Subtract the number of small and large mirrors to find the number of medium mirrors.

480-214-102= 164

From here, subtract the number of mirrors that are not broken.

164-96= 68

Final answer: 68 broken medium mirrors, A

The table is an illustration of a two-way table

The number of medium mirrors that were not broken are 68

Start by calculating the number of medium mirrors

Medium = 480 - 214 - 102

Evaluate the difference

Medium = 164

From the question 96 mirrors are not broken.

So, the number of broken mirror is:

Broken = 164 - 96

Evaluate the difference

Broken = 68

Hence, the number of medium mirrors that were not broken are 68

Answers

Sometimes
If the original x coordinate is negative, it will become positive. For example, (-5, 5) would become (5,5), which is a positive x. The sign of the x changes when reflected over the y axis.

Final answer:

The statement that a point reflected across the y-axis results in a point with a negative x-coordinate is sometimes true, depending on the original point's location relative to the y-axis.

Explanation:

When a point is reflected across the y-axis, the result depends on the initial position of the point relative to the y-axis. The statement that the new point has a negative x-coordinate is sometimes true. If a point lies to the right of the y-axis (positive x-coordinate), reflecting it across the y-axis will indeed result in a point with a negative x-coordinate. However, if the original point is to the left of the y-axis (already has a negative x-coordinate), reflecting it across the y-axis will give it a positive x-coordinate.

Example

If the original point is (3, 2), reflecting it across the y-axis results in (-3, 2), which supports the statement.

If the original point is (-4, 5), reflecting it across the y-axis yields (4, 5), which contradicts the statement.

Therefore, the correct answer is sometimes true, demonstrating the importance of considering the position of the original point in relation to the y-axis.

georgia is making sock puppets.each pair of sock puppets cost $2 georgia bought six pairs of sock puppets.how much did she spend

Answers

Georgia spent a total of $12 on six pairs of sock puppets, with each pair costing $2.

Georgia is calculating the total cost of sock puppets she purchased. The cost per pair is $2, and she bought six pairs. To find out how much she spent, we need to multiply the cost per pair by the number of pairs she bought.

Calculation:
Cost per pair of sock puppets = $2
Number of pairs = 6
Total cost = Cost per pair * Number of pairs
Total cost = $2 * 6
Total cost = $12

Therefore, Georgia spent $12 on sock puppets.

Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.
f(x−3.5) -->

3.5f(x)-->

f(x)
is translated 3.5 units down.
f(x)
is translated 3.5 units left.
f(x)
is vertically compressed by a factor of 3.5.
f(x)
is translated 3.5 units up.
f(x)
is vertically stretched by a factor of 3.5.
f(x)
is translated 3.5 units right.

Answers

For f(x - 3.5) the answer is that f(x) is translated 3.5 units right

You can figure that out by thinking that for x = 3.5 (which is 3.5 units to the right of x = 0, f(3.5 - 3.5) is the same that f(0), ... for x = 10.5 (which is 3.5 units to the right of x = 7, f(10.5 - 3.5) = f(7) ... and so for every value of x.

For 3.5 f(x) the answer is that f(x) is vertically stretched by a factor of 3.5 which you figure out from a table like this:

f(x)          3.5 f(x)

0               0

1               3.5

2                7

10             35

And from that you can see the 3.5 f(x) is horizontally compressed and vertically stretched respect to f(x).

Answer:

3.5f(x) is vertically streched and f(x-3.5) is transaleted 3.5 units up

Step-by-step explanation:

What is 600000-347201

Answers

600,000-347201=252,799

The answer is 259,799

Find all the real fourth roots of 256.

4
-8 and 8
8
-4 and 4

Answers

256 = 16^2. In turn, 16=4^2.

The 4th roots are {4, 4, -4 and -4}.

Check for yourself: Does 4^4= 256? does (-4)^4 = 256?

Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel? The numbers can be added in any order. The number 45 must be the first addend, and 35 must be the last addend. The numbers must be added in the order 45, 90, 70, 20, and 35. The numbers must be added in either the order 45, 90, 70, 20, and 35 or the order 35, 20, 70, 90, and 45.

Answers

Answer:

The numbers must be added in the order 45, 90, 70, 20, and 35.

Step-by-step explanation:

Answer:

The numbers must be added in the order 45, 90, 70, 20, and 35

Step-by-step explanation:

Write these decimal fractions in words 0.17

Answers

In this question, you are given a number in decimal fraction form and asked to changed it into word form. In word form, the number is expressed by word that will differ by the digit location. In this case, 0.17 would be:

One tenth and seven hundredth
Seventeen hundredth

Amanda used 3/4 cup of sugar to make 2 dozen cookies. How much sugar is in each cookie? (Dozen=12)

Answers

[tex]\bf \cfrac{\quad \frac{3}{4}\quad }{\stackrel{\textit{two dozen}}{24}}\implies \cfrac{\quad \frac{3}{4}\quad }{\frac{24}{1}}\implies \cfrac{3}{4}\cdot \cfrac{1}{24}\implies \cfrac{3}{96}[/tex]

I believe that the answer is 1/32 cup because two dozen = 2x12=24 each cookie has 1/24 of sugar. then you have to get 3/4 divided by 24 which is 3/96. which that equals to 1/32. Hope this helps

Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year. Round your answer to the nearest tenth. b. Write an equation that represents the length y (in inches) of your hair after x years. c. How long is your hair after 4 years?

Answers

A) how many centimeters are in a inch = 2.54 so 144/2.54 = 56.7 inches
B) 56.7x + 6
C) 232.8 inches

The rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.

As mentioned in the question,
Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
1 inch = 25.4 millimeters,
For, also 1 millimeters = 1 / 25.4 inches,
So,
144 millimeters per year = 144 / 25.4 inches per year
= 5.67 inches per year

Now,
Growth after 4 years,
= 4 × 5.67 + 6
= 28.68

Thus, the rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.

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ally and barbara, and katherine will share the cost of a vacation rental for a week. aly agrees to pay 30% of the cost. barbara agrees to pay 0.45 of the coat. katherine will pay the remaining balance. if the total rental coast $960, how much will ally, barbara, and katherine each pay towards the week's rent?

Answers

Hi there! The total cost of the vacation is $960. Ally will pay 30% of the vacation rent. 960 * 0.3 is 288. Barbara will pay 45% of the cost. 960 * 0.45 is 432. Katherine will pay the remaining 25%. 960 * 0.25 is 240. Here are the prices that each of the women will pay.

Ally: $288
Barbara: $432
Katherine: $240

Fred Johnson's total insurance premium is $1,200. His employer pays 60% of the total premium. How much does Fred pay? $480 $720 $2,000 $3,000

Answers

480 is the answer to the question brainlist?

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Amount of Fred Johnson's total insurance premium = $1200

Percentage of total premium his employer pays = 60%

Remaining percentage of total premium he pays is given by

[tex]100\%-60\%=40\%[/tex]

So, amount of insurance premium Fred Johnson pay is given by

[tex]\frac{40}{100}\times 1200\\\\=40\times 12\\\\=\$480[/tex]

Hence, First option is correct.

The airport garage charges $5 to park for the first hour and then $3.50 an hour for any additional hours. Ben paid $57.50 to park there one day when he flew to another city. How many hours was he parked at the airport?

Answers

Final answer:

Ben was parked at the airport for a total of 16 hours, after calculating the initial cost for the first hour and then dividing the remainder by the hourly rate for additional hours.

Explanation:

The student's question asks how many hours Ben was parked at the airport, given that the parking cost is $5 for the first hour and $3.50 for each additional hour, with a total fee of $57.50.

First, we subtract the initial $5 from the total cost to determine the cost of additional hours:

$57.50 - $5 = $52.50 for additional hours

Next, we divide the remaining cost by the hourly rate for additional hours to find the number of additional hours Ben parked:

$52.50 ÷ $3.50/hour = 15 hours

Finally, we add the first hour to the additional hours to calculate the total hours parked:

15 hours + 1 hour = 16 hours

Thus, Ben was parked at the airport for a total of 16 hours.

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

Answers

4 cups every minute means 240 cups every hour:
4 X 60 (minutes per hour)

The lunch last 2 hours so if 240 cups is every hour then 480 cups would be for 2 hours.

Now covert 480 cups to gallons. It takes 16 cups to make 1 gallon. We would divide 480/16 = 30 gallons

What is the sales tax on a jacket priced at $350 if the sales tax rate is 7%

Answers

350 x .07 = 24.50

Your sale tax for a jacket would be $24.50.

Match the pairs of equations that represent concentric circles. Tiles

Answers

I will explain you and pair two of the equations as an example to you. Then, you must pair the others.

1) Two circles are concentric if they have the same center and different radii.

2) The equation of a circle with center xc, yc, and radius r is:

(x - xc)^2 + (y - yc)^2 = r^2.

So, if you have that equation you can inmediately tell the coordinates of the center and the radius of the circle.

3) You can transform the equations given in your picture to the form (x -xc)^2 + (y -yc)^2 = r2 by completing squares.

Example:

Equation: 3x^2 + 3y^2 + 12x - 6y - 21 = 0

rearrange: 3x^2 + 12x + 3y^2 - 6y = 21

extract common factor 3: 3 (x^2 + 4x) + 3(y^2 -2y) = 3*7

=> (x^2 + 4x) + (y^2 - 2y) = 7

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 7

=> (x + 2)^2 + (y - 1)^2 = 12 => center = (-2,1), r = √12.

equation: 4x^2 + 4y^2 + 16x - 8y - 308 = 0

rearrange: 4x^2 + 16x + 4y^2 - 8y = 308

common factor 4: 4 (x^2 + 4x) + 4(y^2 -8y) = 4*77

=> (x^2 + 4x) + (y^2 - 2y) = 77

complete squares: (x + 2)^2 - 4 + (y - 1)^2 - 1 = 77

=> (x + 2)^2 + (y - 1)^2 = 82 => center = (-2,1), r = √82

Therefore, you conclude that these two circumferences have the same center and differet r, so they are concentric.

Solve the following equations. Some equations will have a single answer, others will have no solution, and still others will have infinite solutions

1. 2x + 2x + 2 = 4x + 2

2. 3(x − 1) = 2x + 9

3. 2x + 8 = 2(x + 4)

4. 2x − x + 7 = x + 3 + 4

Answers

All values of x are solutions
3(x − 1) = 2x + 9 = x=9
All values of x are solutions
All values of x are solutions

What kind of graph is this?

Answers

it looks like a histogram/bar graph

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answers

Hii!! friend

i m here to
help u

I hope u know the point -slope form
,here, the equation will be
y+3= -6x -54

Which linear function has the same y-intercept as the one that is represented by the graph?

Answers

The answer would be C because the y-intercept is when x is equal to 0

y-intercept when x = 0
on the graph x = 0 , y = 3

function
y = 2x + 3 when x = 0
y = 3

answer
C. y = 2x + 3

5.6 times what equals to -19.04

Answers

5.6 times x = -19.04
/5.6. /5.6

-3.4 = x

just divide -19.04 by 5.6 and you get -3.4

Final answer:

The given equation can be rearranged as a division problem: -19.04 divided by 5.6. The solution to this is -3.4. Thus, 5.6 times -3.4 equals -19.04.

Explanation:

To answer the question, we must find the unknown variable in your given equation, where you are multiplying a number (5.6) by some unknown figure to get -19.04. This type of math problem is a division problem arranged differently. Instead of saying '5.6 times what equals to -19.04', we can rearrange it to say '-19.04 divided by 5.6 equals what'.

To get the answer, simply divide -19.04 by 5.6, which equals -3.4. So 5.6 times -3.4 equals -19.04.

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Suppose that a person with a push mower can mow a large lawn in 2 ​hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working​ together, how long will it take to mow the​ lawn

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Suppose that a person with a push mower can mow a large lawn in 2 hours, whereas the lawn can be mowed with a riding lawn mower in 1 hours. working together, how long will it take to mow the lawn