kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How long does it take kim to mow the greens alone

Answers

Answer 1

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.


Related Questions

State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.

Answers

Answer:

independent variable: the number of children

dependent variable: the cost of admission

rate of change: 11

Step-by-step explanation:

independent variable is what changes which in this case is the amount of children

dependent variable is the factor that changes because of the independent variable which in this case is the cost of admission

the rate of change is 11 because the cost of one kid would be $11

Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/2 hour. For the remainder of the time, Daniel read stories. How much time did Daniel spend reading stories?

Answers

Answer:

He spent 3/4 of an hour reading stories

Step-by-step explanation:

Sorry I dont have time :(

Which statement is a true conditional with a converse that is also true?


If an angle measures more than 90 degrees, then the angle is obtuse.

If x = 4, then x2 = 16.

If a figure is a square, then it is a quadrilateral.

If two angles are complementary, then the angles have a sum of 180 degrees.

Answers

The answer is the 3rd statement, if a figure is a square, it is a quadrilateral
That is true


Help Me in my Math Thanks :)​

Answers

Answer:

Step-by-step explanation:

Asked:  How many square tables are needed to place 100 pupils?

Given: Square table each has 4 pupils to sit

operation :  Multiplication, subtraction,  Division

Solve:

Number of pupils in 9 rectangular tables = 9*8 = 72 pupils

Remaining pupils = 100 - 72 = 28

Number of square table needed =28 ÷ 4 = 7

7 square tables are needed.

Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases? Give your answer as an expression of $p

Answers

$ (30-8p)

Step-by-step explanation:

3 DRINKS- 3P

MEDIUM- 2p

large- 3p

so plus 8 p

resolve into factors : a^3 + 35b^3 + (a -b)^3

Answers

Step-by-step explanation:

a^3+35b^3+a^3-b^3

2a^3+34b^3

Answer:

2a^3 + 34b^3 - 3a^2b + 3ab^2

Find the slope (-10,-3) (7,2)

Answers

Answer:

Let (-10,-3) be (x1, y1)

and (7, 2) be (x2, y2).

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Substitute in values:

[tex]\frac{2-(-3)}{7-(-10)} =\frac{5}{17}[/tex]

Answer:

5/17

Step-by-step explanation:

Slope = Change in /Change in X

Slope = 2 - (-3) / 7 - (-10)

Slope = 5/17

-Chetan K

In the figure, Line a is parallel to line b.

A. Which equation can be used to determine the value of x?

a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180

Answers

Answer:

b

Step-by-step explanation:

Liza bought 5.035 kg of chicken. Write its weight in words.

Answers

Answer:

five point zero three five

Write the equation that describes each line in slope intercept form

Answers

When I did this problem to get slope intercept form I got: Y=-1x+3

Hello there! :)

Let's use the slope formula:

m=[tex]\frac{y2-y1}{x2-x1} \\\frac{0-3}{3-0} \\\frac{-3}{3} \\=-1[/tex]

So the slope (m) is -1.

Now, let's find the y-intercept. It's where the graph touches the y-axis.

The y-intercept is 3.

So our equation looks like so:

y=-x+3

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature :)[/tex]

what is the calculation for 70 increased by 9%

Answers

Answer: 6.3 Increase the number by 9% of its value.

9,000,000 times 30 divided by 2 plus three minus 36 time 1 divided 93

Answers

135000002.613! At least I think!

Find all values of j for which the quadratic equation has one real solution.
3x² + 5x-j=0
Write your answer as an equality or inequality in terms of j.

Answers

Answer:

x = (-5+/- √(25 + 12j))/6

Step-by-step explanation:

The solution to this question requires the application of quadratic formula

the slope of (5,3) AND (10,8)

Answers

Answer:

(5,5) is your slope: y=5 and x=5 too

Step-by-step explanation:

Step-by-step explanation:

what the guy above said is right

solve for x, find the measure of all angles hurryyyyyyy! ​

Answers

Answer:

x=6 as 180 in triangle take away 150 30 by 5 is 6

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.

Answers

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Is this right?

Pic below! :D

Answers

Answer:

I Don't Think So

But ask your parents or your older brother or sisters

That looks right about those questions you were asking me the last part where you got 1.50 is a little confusing could you explain maybe how you got that but the right answer is there

each ball has a diameter of 60mmwhich container has the smaller surface area?

Answers

Here hope this helps good luckkkkkkk

Can somebody help me with this question, im stuck on it.

Answers

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

Hope this helps! Please give this a rating and press the heart button! Thanks!

Suitcases originally priced at $50 are now on sale for $41. What percentage is the discount?

Answers

discount percent:
100 * (original - discount)/original
original: $50
Discount price: $41
100 * (50-41)/50
100 * (9/50) = 18

The discount percent is 18%

will give brainliest !!

Answers

Answer:

Triangle A'B'C'

A'B'= 7.81

B'C'= 6

A'C'=5

C) Perimeter= 18.81 Area 15

Triangle ABC

AB=5

BC=4

AC=3

c) Perimeter = 12 Area = 6

Step-by-step explanation:

Triangle ABC work

Perimeter 4+3+√4^2+3^2=12

Area  4*3/2=6

Triangle A'B'C' work

Area 6*5/2=15

Perimeter 6+5+√6^2+5^2=18.81025

Please give brainliest

Cookies cost $5.40 per dozen. What is the unit rate Price per cookie

Answers

Answer:

$0.45 per cookie

Step-by-step explanation:

1 dozen = 12, so you divide both sides by 12. 5.40/12 would equal $0.45 per cookie

Answer:$0.45

Step-by-step explanation:

If it costs $5.40 for 12 cookies then you will need to find how much it costs for 1 cookie. To do this you will need to divide 5.4 by 12 so 5.4/12=0.45

(3 x^-2 y^3)^3 Please help ASAP

Answers

Answer:

I don't understand what do you mean by (3 x^-2 y^3)^3

by itself?

A cyclist travels 122.5 km in 2 hours. Calculate his speed. *


61.25 km/hr
.016 km/hr
65 km/hr

Answers

Answer:

61.25

Step-by-step explanation:

speed = distance / time

speed = 122.5 km / 2 hour

= 61.25

Help please and super quick

Answers

Answer:

it's super easy

7¹⁵/7¹⁴

7¹⁵-¹⁴

7¹ or 7

Step-by-step explanation:

I know it helped you :)

how can I solve this
1/2 of 20​

Answers

Answer:

Just multiply over here

1/2 *20

1/2 * 20/1

20/2

10

answer is 10

Answer:

10

Step-by-step explanation:

multiply (1/2) by 20

10

Expand the following expression.

Answers

Answer:

C. [tex]\frac{39}{4}[/tex]x +[tex]\frac{39}{16}[/tex]

Step-by-step explanation:

distribute

Answer:

(39/4)x + 39/16

Answer C

Step-by-step explanation:

(13/4) * 3x   +    (13/4) * (3/4)

(39/4)x + 39/16

Which inequality represents this graph?

A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1

Answers

Answer:

D) y < 1/3x - 1

Step-by-step explanation:

the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.

If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5

Answers

Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .

According to the Question ,

[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]

where k is a constant .

And ,

[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]

[tex]\sf\longrightarrow k = 7*5 \\ [/tex]

[tex]\bf\longrightarrow k = 35[/tex]

Now , when x is 5 ,

[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]

[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]

[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]

[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]

2x-y=4
-2x+y=7
is there a solution

Answers

[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]

[tex] \text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\ \text{ The rest is followed as we continue to get to our goal} \\ \\ \sf {1}^{st} \: equation : \\ \quad\dashrightarrow \frak{2x - y = 4} \\ \\ \quad \dashrightarrow \frak{ \red{x = \frac{y + 4}{2} }} \qquad \sf ...eq(1) \\ \rm{ now \: \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\ \\ \sf{ {2}^{nd} \:equation} : \\ \quad\dashrightarrow \frak{ x + 2y = 7} \\ \\ \quad\dashrightarrow \frak{ \red{y = \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\ \\ \text{Now, finding x and y} \\ \\ \underline{ \frak{Finding \: x}}\\ \\ \quad \hookrightarrow \frak{x = \frac{y + 4}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x}{2} + 4} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x + 8}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{1 - x}{2}} \\ \\\quad \hookrightarrow \frak{4x = 1 - x} \\ \\ \quad \hookrightarrow \frak{5x = 1} \\ \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x = \frac{1}{5}}}}} \\ \\ \underline{ \frak{Finding \: y}} \\ \\ \quad \hookrightarrow \frak{y = \frac{7 - x}{2}} \\ \\ \hookrightarrow \frak{2y = 7 - \frac{1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{35 - 1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{34}{5}} \\ \\ \hookrightarrow \frak{y = \frac{34}{5} \times \frac{1}{2}} \\ \\ \hookrightarrow \frak{y = \frac{17}{5} } \\ \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5} }}}}[/tex]

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