Using a new lawn mower, Abby can mow the lawn in 2 hours. Her sister Carla used an older lawn mower and takes 3 hours to mow the same lawn. How long will it take them if they work together?

Answers

Answer 1
So rates are the lower number of a fraction. 

So it would be:[tex] \frac{x}{3} + \frac{x}{2} = 1 [/tex]  Then cross muitply. 

2x + 3x = 6

5x=6 

x= [tex] \frac{6}{5} hours[/tex]


Related Questions

Work out the area of a triangle with a height of 6m and a base length of 14m

Answers

Area of a triangle = [tex] \frac{\text{Base} \times \text{Height}}{2} [/tex]

Base = 14m 
Height = 6m 

(14m x 6m)/2 = (84m^2) / 2 = 42m^2
We know, area of a triangle = 1/2 * b * h
Here, b = 14
h = 6

Substitute their values in expression,
Area = 1/2 * 14 * 6
Area = 1/2 * 84
Area = 42 m²

So, your final answer is 42 m²

Hope this helps!

A refrigerator is priced at $1,250. There are two options offered to reduce the price: either a 25% discount off the price or a rebate of $300. Which is the better choice, and what is the extra amount saved?



A.The 25% discount is better; it saves $12.50.

B.The rebate is better; it saves $12.50.

C.The 25% discount is better; it saves $75.

D.The rebate is better; it saves $75.

Answers

A.The 25% discount is better; it saves $12.50 is the correct answer.

Answer:  

A.The 25% discount is better; it saves $12.50.

Step-by-step explanation:

Here, the given marked price of the refrigerator = $ 1250,

In first option,

Discount percentage = 25 %,

Thus, total discount = 25 % of the marked price

= 0.25 × 1250

= 312.5

Thus, the selling price = 1250 - 312.5 = $ 937.5,

In second option,

Discount = $ 300,

Thus, the selling price = 1250 - 300 = $ 950,

Since, 937.5 < 950

Hence, First option is better than that of second.

Also, total saving = 950 - 937.5 = $ 12.5

The 25% discount is better; it saves $12.50

What is 36000 divided by 11 using long division

Answers

3272.727272 is the answer for 36000 divided by 11. The part of 72727272 never ends. Lol! You're Welcome for answering your question.
      3272.72727272727272727272727272727272727272727272727
11÷36000
      33
        30
        22
          80
          77
           30
           22

A(n) ______ is a letter or symbol that represents some unknown value.
A. term
B. equation
C. variable
D. expression

Answers

B.
hope this helps you
The answer is "C" a variable.

For example, if you have the equation 6x=47

You are trying to find the value of "x"

So x is unknown

Hope this helps!

A unit of measure used in surveying is the link; 1 link is about 8 inches. about how many links are there in 9 feet.

Answers

Known:

1 link = 8 inches
1 inch = 0.083 feet
108 inches = 9 feet

To find how many links:

108/8= 13.5 links


Final answer:

To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches.

Explanation:

To find out how many links are there in 9 feet, we can use the conversion factor that 1 link is about 8 inches. First, we need to convert 9 feet to inches by multiplying it by 12 (since there are 12 inches in 1 foot). So, 9 feet = 9 x 12 = 108 inches. Next, we can divide 108 inches by 8 (since 1 link is approximately 8 inches) to find the number of links. 108 inches ÷ 8 = 13.5 links. Therefore, there are approximately 13.5 links in 9 feet.

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Calculate the length of the circumference of a circle with a diameter of 7 cm

Answers

C = 21.98 cm......... 

lim x tanx/ 1-cosx
x―>0

please help... ...?

Answers

Note that 1 - cos(x) = 2sin²(x/2) 

⇒ lim x→0 xtan(x)/ [1 - cos(x)] = 

= lim x→0 xtan(x) / 2sin²(x/2) = 

= lim x→0 1/2 xtan(x) / [sin²(x/2) / (x/2)² * (x/2)²] 


Also, we know that lim x→0 sin(x)/x = lim x→0 tan(x)/x = 1 

So the limit is : 

= 1/2 lim x→0 xtan(x) / (x²/4) = 

= 1/2 lim x→0 4/x² * xtan(x) = 

= 2 lim x→0 tan(x)/x = 

= 2.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Which property of equality would be used to solve the equation -3x = 252?

addition
subtraction
multipication
division< is it this one

Answers

Yes, it would be division because you would divide by -3 to get x by itself.

Hey there! Your answer is division! You were right! Because you would divide by -3 to get x. Hope this helped! Your fellow Brainly user, GalaxyGamingKitty.

"Compounding frequency" refers to:

Answers

The number of times that interest is calculated on a loan or other fixed-return investment in a given year. The higher the frequency of compounding, the greater return one will mak on the loan or other investment at the same interest rate. 
The number of times that interest is calculated on a loan or other fixed-return investment in a given year.The higher the frequency of compounding, the greater return one will make on the loan or other investment at the same interest rate. See also: Continuously Compounded Interest.

Given four functions, which one will have the highest y-intercept?


f(x)g(x)h(x)j(x)
Blake is tracking his
savings account with
an interest rate of 5%
and a original deposit
of $6.
xg(x)
16
28
312
the function h of x equals 4 to the x power, plus 3j(x) = 10(2)x

Answers

Here are the four functions :
1) Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
Equation : y = 0.05x + 6
y-intercept = (0,6)

2) x           g(x)
    1            6
    2            8
    3           12
 y-intercept = (0,5)

3) The function h of x equals 4 to the x power, plus 3
    equation : y = 4^x + 3
y-intercept = (0,4)

4) j(x) = 10(2)x
y-intercept = (0,1)

Best choice : f(x) has the highest y-intercept.

Answer:

The highest Y-intercept would be f(x)

What is the slope intercept of 2x-8y=24?

Answers

-8y I think jjchdhdggahg

PLEASE HELP ASAP
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D . Then use this equation to find the total length of the road after the crew has worked 38 days.
Equation:
total length of the road after 38 days: Miles

Answers

53+ 3(38) = L 

so L= 167

i hope thats right!!

Evaluate the expression when y = 4. 5 + y + 8

Answers

Natural resources in Michigan's Upper Peninsula helped earlier inhabitants of the area in which industry? 

A company manufacturers and sells x electric drills per month. The monthly cost and price-demand equations are
C(x)=64000+60x, p=190−x/30, 0≤x≤5000.

a) production level at max revenue = 2850
b) price to max profit = $125
c) Suppose that a 5 dollar per drill tax is imposed. Determine the number of drills that should be produced and sold in order to maximize profit under these new circumstances. ???

Answers

A.
Revenue x * p = 220x - x^2/30

d/dx = 220 * 15 = 3300

B.
Profit = Revenue - Cost

= 220x - x^2/30 - 72000 - 80x

d/dx = 220 - x/15 - 80 = 0

x = 15 * 140 = 2100

p = 220 - 2100/30 = 220 - 70 = $150

C.
With $5 tax the price-demand equation should be

p = 220 - x/30 + 5

Profit = 225x - x^2/30 - 72000 - 80x

d/dx = 225 - x/15 - 80 = 0

x = 15 * 145 = 2175

help please!
What percent of $6.50 is $2.60?

Answers

%6.33 i do believe What i did was calculated it im really sorry if i got it wrong

Which distribution has the greatest spread?
Mean Standard
Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2

Answers

Answer:

Distribution 4, mean is 20 and standard deviation is 3.2

Step-by-step explanation:

The standard deviation tells us on average how far each of our data values is from the mean.  A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.

11 + (6-x/2) = 26

TIA

Answers

11 + (6-x/2) = 26   subtract 11 off both sides
(6-x)/2=15             multiply by 2 on both sides
6-x=30                  subtract 6 from both sides
-x=24                   divide by negative 1
x=-24    thats a negative 24

Answer:

X= -24

Step-by-step explanation:

Liam has purchased a fee-for-service health insurance plan from Leroux Health Insurance. Plan A includes a $248.00 monthly premium and an annual deductible of $5,500.00 (not including co-pays).

Liam is a fairly healthy young man. He visits his primary care physician three times a year on scheduled visits. He sees a chiropractic specialist every week to help with lower back pain. He has no current prescriptions that need refilling regularly.

Assuming Liam maintains his regular visits with his primary care physician and his chiropractor, and avoids any trips to the emergency room or urgent care, how much will Liam pay in health care related fees this year?

Answers

Answer: D | $6,216.00

Step-by-step explanation:

An equation for this problem- The cable company charges a monthly fee of $45. Each movie rental is $1.99. You owe $68.88/ How many movies did you rent?

Answers

Answer:

12 movies

Step-by-step explanation:

If you have to pay 1.99 per movie and that is our unknown, we can express that as 1.99x, where x is the number of movies (our independent variable).  If you rent 0 movies, you still have to pay the company $45.  So the equation for the number of movies you rent:

y = 1.99x  + 45 where y is the total cost of your cable for that month.  We know the cost for a certain month was 68.88 so our equation becomes

68.88 = 1.99x = 45 and

23.88 = 1.99x so

x = 12 movies

Final answer:

To calculate the number of movies you rented, first subtract the monthly fee of $45 from the total amount owed of $68.88, which leaves $23.88 for movie rentals. Since each movie costs $1.99, divide $23.88 by $1.99 to get approximately 12 movies rented.

Explanation:

The subject of this question is a simple algebraic problem involving a basic equation. To find out how many movies were rented, we first need to understand what charges make up the total charge of $68.88. Given that the cable company charges a monthly fee of $45 and each movie rental costs $1.99, we know that the total charge of $68.88 includes both the monthly fee and the cost of movie rentals.

To find out how many movies were rented, we subtract the monthly fee from the total owed: $68.88 - $45 = $23.88. This is the total cost for movie rentals. Since each movie costs $1.99, we divide the total cost of rentals by the cost per movie: $23.88 / $1.99. The answer is about 12, "so you rented approximately 12 movies".

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Find an equation of the line that satisfies the given conditions.
Through (6, 7); parallel to the line passing through
(7, 5) and (3, 1)

Answers

Well, the very first thing you need to do is to  find the slope of the line
According to the fact that we already know that the slope is parallel to the line, you can easily find out the slope, to be more exact :[tex]m=(Y2-Y1)/X2-X1)=4/4=1[/tex]
Straight after, you have to use point slope formula[tex]Y-Y1=m(X-X1) Y-7=X-6[/tex]

what divided by 6 equals 4

Answers

The answer is 1.5
6÷1.5 = 4

The correct answer is 1.5.

What is the formula of divide?

The formula of divide is Dividend ÷ Divisor = Quotient + Remainder.

What is Remainder?

Remainder is the left over number in the division.

Given:

6 ÷ ? = 4......(1)

Here we assume x is divided by 6 equals 4.

Then put x in given equation (1).

6 ÷  x = 4

x = 6 ÷ 4.

x = 6/4 = 1.5

Here 6 is dividend, 4 is divisor and 1.5 is quotient.

Therefore, 1.5 divided by 6 equals 4.

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A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is
A.circle
B.parabola
C.ellipse
D.hyperbola

Answers

Answer:

c. Ellipse

Step-by-step explanation:

Answer:

option (c)

Step-by-step explanation:

It is an ellipse.

Option (c) is correct .

A shopper purchased 8 T-shirts and 5 pairs of pants for $220. The next day he purchased 5 T-shirts and 1 pair of pants for $112. How much does each T-shirt and each pair of pants cost?

Answers

8t + 5p = 220
5t + p = 112....multiply by -5
----------------
8t + 5p = 220
-25t - 5p = - 560 (results of multiplying by -5)
---------------add
- 17t = - 340
t = 340/17
t = 20 <== each tee shirt costs $ 20

8t + 5p = 220
8(20) + 5p = 220
160 + 5p = 220
5p = 220 - 160
5p = 60
p = 60/5
p = 12 <== each pair of pants cost $ 12
Final answer:

By setting up a system of linear equations based on the shopper's purchases and solving it, we found that the cost of each T-shirt is $20, and the cost of each pair of pants is $12.

Explanation:

To find out how much each T-shirt and each pair of pants cost based on the shopper's purchases, we can set up a system of linear equations. Let's denote the cost of a T-shirt as T and the cost of a pair of pants as P.

The two purchases give us these equations:

8T + 5P = $220

5T + 1P = $112

Next, we use a method such as substitution or elimination to solve these simultaneous equations. If we multiply the second equation by 5, we get:

5(5T + 1P) = 5($112)

25T + 5P = $560

Now subtract the first equation from this result:

25T + 5P - (8T + 5P) = $560 - $220

17T = $340

T = $20

Now that we know the cost of a T-shirt, we can substitute T in one of the original equations to find P:

5T + P = $112

5($20) + P = $112

$100 + P = $112

P = $12

So, a T-shirt costs $20 and a pair of pants costs $12.

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Two similar polygons have areas of 50 and 100 sq. in. Find the ratio of the length of a pair of corresponding sides.

Answers

In the case that you presented, the ratio is

50/100 = (x1)^2 / (x2)^2
1/2 = (x1)^2 / (x2)^2

x1 : x2 = 1 : √2

^2 means squared

Answer:

the answer is square root 2/ 2

Step-by-step explanation:

What is the common difference in the sequence 5, 10, 15, 20, 25,...?
A. -5
B. 1/2
C. 2
D. 5

Answers

The answer is D

You just need to subtract term 1 (5) from term 2 (10) to find the answer, and the common difference between each sequential term is 5

circumference of a circle with a radius of 5 inches

Answers

Circumference of a circle with a radius of 5 inches is 31.42 in.
You can express that by writing C ≈ 31.42 in.
I hope you find this answer the most helpful.

Answer is provided in the image attached.

The length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, which equation can be used to find its value?

Answers

I hope choice must be given so that we can select which equation can be used to find its value.

I am showing the steps for this problem.

Given that, x represents the width of the rectangle and the perimeter of the rectangle is 28 inches.

Let's assume y represent the length of the rectangle.

Formula to find the perimeter of a rectangle is,

p= 2 * length + 2 * width.

Hence, we can set up an equation as following.

2 y + 2x = 28.

Hope this is your question, if not I think you will, still be able to

find an answer of your question based on this solution.

Hope this helps you!.

Answer: The answer is 2 × (6 + x) + 2 × x = 28.

Step-by-step explanation:  Given that the length of a rectangle is 6 inches longer than its width. the perimeter of the rectangle is 28 inches. if x represents the width of the rectangle, then we are to find the equation that finds the value of 'x'.

Since width of the rectangle is 'x' inches and length is 6 inches longer than the width, so length will be (6 + x) inches.

Also, perimeter is 28 inches, therefore, we have

[tex]2\times(6+x)+2\times x=28\\\\\Rightarrow 6+x+x=14\\\\\Rightarrow 2x=8\\\\\Rightarrow x=4.[/tex]

Thus, the value of x is 4 inches, hence width = 4 inches and length = 4 + 6 = 10 inches.

the rule is :divided by 5 the pattern is : 625

Answers

The missing number will be 125
hope this helps :)

For f(x) = 2x + 1 and g(x) = x2 – 7, find (f + g)(x).

A. x2 + 2x – 6
B. 2x3 – 6
C. x2 + 2x + 8
D. 2x2 – 15

Answers

I hope this helps you



(f+g)(x)=2x+1+x^2-7



(f+g)(z)=x^2+2x-6

The perimeter of a rectangle is 126 ft. The ratio of its length to its width is 5 : 4. What are the dimensions of the rectangle?

Answers

35 by 28 hope it helps you out

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