Select the correct answer. Victor and Dennis are weeding a garden. If Victor worked alone, it would take him 30 minutes. Working together, they would finish in 12 minutes. When x represents the number of minutes it would take Dennis working alone, this situation is represented by this equation: Working alone, how long would it take Dennis to weed the garden? A. 15 minutes B. 18 minutes C. 20 minutes D. The rational equation has no valid solutions.

Answers

Answer 1

Answer:

C. 20 minutes

Step-by-step explanation:

If Victor (V) worked alone, it would take him 30 minutes.

30 * V = 1

V = 1 / 30

When x represents the number of minutes it would take Dennis (D) working alone,

x * D = 1

D = 1 / x

Working together, they would finish in 12 minutes

12 (V + D) = 1

12( 1/30  + 1/x) =1

1/30 + 1/x = 1/12

Multiply all through by x

x/30 + 1 = x/12

x/30 - x/12 = - 1

( 2x - 5x ) / 60 = - 1

- 3x / 60 = - 1

- 3x = -60

x = -60 / -3 = 20 minutes


Related Questions

can you create a equation for this

Answers

Answer:

it's y = 2x

Step-by-step explanation:

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Helpppp!!!!
Work out the size of angle x.

Answers

answer is 118°

hope that helped

118 = x
360-295 = 65
180-65=115
115+127 = 242
360 - 242 = 118

Find the area of a semi circle if the diameter is 3m

Answers

Answer:

The radius of the circle=

3/2

1.5

Area of circle= Pi x radius^2

3.14 x 1.5^2

=7.06m^2

Since it's a semi circle

7.06/2

=3.53m^2

Hope it helps

please help me!!!!!!!!111

Answers

The answer is A. Divide the amount of almonds by the servings. KFC (keep, change, flip) it, to get your answer. Hope it helps!

Is Janelle correct? Yes, because the lines are not parallel. Yes, because the lines will intersect. No, because the lines are in the same plane. No, because the lines are perpendicular.

Answers

Answer:

Step-by-step explanation:

No, because the lines are in the same plane.

Bettina bought 8 pairs of socks for $23.20. Nancy bought 10 pairs of socks for $30.00. Nancy says that she paid less per pairs of socks than Bettina. Is Nancy correct

Answers

Answer: yes, Nanay did´t buy more pairs of socks, she had bayed more. I hop that this is helpful.

Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.

Answers

The question is incomplete. The complete question is :

Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.

Where, if any, did Basil first make a mistake in his work?

Solution :

Not -- Basil did not make any mistakes in his work. He found out the perimeter of an enlarged shape.

Perimeter is the total measure of the outer lining or the total outer length of the body or the shape. For different shapes, the perimeters will be different. Basil measure the outer length of the body and found out the perimeter.  

Answer:

C

Step-by-step explanation:

Cube of a binomial (a - b) ​

Answers

Answer:

(a - b)³ = a³ - 3a²b  + 3ab² - b³

Step-by-step explanation:

Cube of a binomial (a - b) ​

(a - b)³ = a³ - 3a²b  + 3ab² - b³

Find the Difference.

3x + 5 - (2x + 2)

How do I do this step by step?

Answers

Answer: The correct answer is x+3

Step-by-step explanation: To find the answer you must first remove the parentheses then you combine the like terms and that how you get your answer.

Answer:

x + 3

Step-by-step explanation:

PLZ HELP IM TRASH AT MATH

Answers

Answer:

C should be the answer.

Step-by-step explanation:

Square root of 50 is equal is 7.071.

7.071 is right in between 7 and 8, making it the right answer for C.

Answer:

C??

Step-by-step explanation:

I mean if you put it in the calculator, then you get 7.07 so... lemme know if im wrong :D

University students will draw a card from a deck of cards. They win a prize if they draw a card marked with a picture of a Texas longhorn. The probability of drawing a card
2
with a longhom is Plonghorn card
card) –
425 students will play the game. Using what you know about theoretical probability, predict how many students will draw a longhorn card.
2/85

Answers

Answer:

2/85

Step-by-step explanation:

It's easy.

What is the length of the hypotenuse with
the given vertex (-5,0)?
I

Answers

Answer:

5000 square ft

Step-by-step explanation:

Help with this please!!!! The green box

Answers

Answer: 6

Step-by-step explanation:

The question is looking for the leg length beside the green box. If you count the leg length from vertex to vertex, it is 6 squares in length.

solve each system by substitution
y=-2x + 7
y = 3x - 13

Answers

Answer:

y = -1, x =4

Step-by-step explanation:

3x-`13=-2x+7

x = 4

y=3(4)-13

y = -1

e) 6x-(3x+2)=1 how much is the x​

Answers

Answer:

1

Step-by-step explanation:

6x - ( 3x + 2) = 1

6x - 3x - 2 = 1

3x = 1 + 2

3x = 3

x = 3 / 3

x = 1

Hope it will help :)

Answer:

x=1

Step-by-step explanation:

Fill in the blank:

I’m diamond, you know I glow up,
Hey, so let’s go
_______________

Answers

Answer:

cause imm in the stars tonight

Step-by-step explanation:

cause I I I'm in the Stars tonight

A line is parallel to y = 3x + 5 and
intersects the point (-2, 6). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y- [?] = [](x
](x-[]).

Answers

Answer:

Im not like 100% sure but i think you answer is

y-6=3[x-(-2)]

y=6+3x+6

y=3x+12

And i believe that this is parallel to y

Answer:

y = 3x + 12

Step-by-step explanation:

Parallel lines have same slope

Given line

y = 3x + 5

The line that passes through (-2, 6) and with the slope of 3 is:

y - y₁ = m(x - x₁)y - 6 = 3(x - (-2))y - 6 = 3(x + 2)

Convert the equation into slope-intercept form:

y - 6 = 3x + 6y = 3x + 6 + 6y = 3x + 12

Madeline is going to invest in an account paying an interest rate of 4.4% compounded
annually. How much would Madeline need to invest, to the nearest ten dollars, for
the value of the account to reach $16,600 in 12 years?

Answers

Answer:

$9540

Step-by-step explanation:

A = P(1 + r)^t

16600 = P(1.044)^12

P = 16600/(1.044)^12

P = $9,543.64

the amusement park charges $20 to get in plus $1.50 per ride which linear equation represents this relationship y=1.5+20x,y=21.5x,y=1.5x+20,y=20x+1.5​

Answers

Step-by-step explanation:

1.50 per ride tones X number of rides plus a 20 entrance fee

y= 1.5x + 20

ANSWER ASAP!!! PLS HELP.
u can only use these for 15, 16 & 17:
acute equilateral ,
obtuse scalene , right scalene , acute isosceles

Answers

Step-by-step explanation:

15 . It is an acute equilateral triangle.

16. It is an obtuse scalene triangle.

17. It is right scalene triangle.

Hope it will help :)

A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will it be until the value of the car is 11300 dollars?

Answers

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

The length of CD is 12 units. C'D' is the image of CD under a dilation with a scale factor of k.
Which of these are true? Choose all that are correct.

Answers

The length of CD is 24 units.

I need help with this math problem!! i'll give brainilist to the correct answer :)

Answers

Answer:

Blank 1: x

Blank 2: 1.5

Step-by-step explanation:

blank 1 xblank 2 1.5

#thanks for the points!

#Chloe919

#carry on learning

what is 7.25-6.17=? in subtracting decimals

Answers

Answer:

1.08

Step-by-step explanation:

simplify 7x7⁴????????​

Answers

Answer:

7power to 5

Step-by-step explanation:

good luck you're welcome

Answer:

16807

Step-by-step explanation:

7 x 7^4 = 7^1+4

= 7^1+4

1+4= 5 - 7^5

7^5 = 16807

2n^2 + 3n-1
find the 10th term

Answers

Answer:

229

Step-by-step explanation:

t10= 2×10^2+3×10-1

=2×100+30-1

=200+29

=229

Answer:

229

Step-by-step explanation:

[tex]2n^{2} + 3n -1\\[/tex]

[tex]2 (10^{2} ) + 3(10) -1[/tex]

[tex]200 + 29 = 229[/tex]

Alan has read ​10% of a book. He has 81 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

90

Step-by-step explanation:

100%-10%=90%

90%->81

10%->9

100%->9+81=90

Denise rode 3 kilometers on a bike. her friend clark rode 5000 meters on a bike

how much farther in meters did one person ride than the other?

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

Denise rode 3 kilometres .

Clark rode 5000 metres which is 5 kilometres .

So , Clark rode 2 kilometres more than Denise .

Answer:

Step-by-step explanation:

1 km = 1000m

3km = 3000m

So difference = 5000 - 3000 = 2000m = 2km

Clark rode 2km more than denis

What is the value of x2+9x+20 when x could be -5, -3 or -6

Answers

Answer:

Step-by-step explanation:

You should use a ^ to indicate an exponent. x^2 is the same as x².

x² + 9x + 20

Replace the x with (-5).

(-5)² + 9(-5) + 20 = 25-45+20 = 0

Then do the same with x = (-3):

(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2

You can do x = (-6)

Select the correct answer. .
Which number has a repeating decimal form?
A 15
B 11/25
C 3/20
D 2/6

Answers

Answer:

B

Step-by-step explanation:

I say B because 2 divided by 6 is .333333333 and so on and so forth.

Hope this helped!!

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