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QveST [7]
3 years ago
14

Working together, Karen and Darren can mow their yard in 40 minutes if they each have a mower and mow at the same time. If Karen

could mow the entire yard by herself in 60 minutes, how long would Darren take to mow the yard working by himself?
Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

Step-by-step explanation:

Answer:

120mins

Step-by-step explanation:

Karen mows at 60mins, 1 peice of land

Let Darren mows that 1 peice of land at Xmins

The rate at which Karen mows the land would be 1/60 [takes 60mins for 1 piece]

The rate at which Darren mows the land would be 1/x

The average rate working together on one peice of land will be

the combined time

(1/60) +(1/X) = 1/40

[(1/60) + (1/X)]x40 =1 yard

1/X = 1/40 -1/60=(3-2) /120 =1/120

1/X = 1/120

X=120mins

Darren's takes 120mins

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Please show work and solve it! 100 points! n(n-7)=0
Dmitriy789 [7]
Step by step. :)


STEP
1
:
Equation at the end of step 1
0 - 7n • (n - 7) = 0
STEP
2
:
Equation at the end of step 2
-7n • (n - 7) = 0
STEP
3
:
Theory - Roots of a product
 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
 3.2      Solve  :    -7n = 0 

 Multiply both sides of the equation by (-1) :  7n = 0


Divide both sides of the equation by 7:
                     n = 0
Solving a Single Variable Equation:
 3.3      Solve  :    n-7 = 0 

 Add  7  to both sides of the equation : 
                      n = 7



This is what i got! if i’m wrong i’m so sorry
but i tried. have a amazing day☺️☺️
5 0
3 years ago
What is the solution of 3x + y = 9 and 3x − 5y = 15?
erma4kov [3.2K]

Answer:

Multiply the first equation by five to yield, 15x + 5y = 45. Add this equation to the second equation from the given,

                                      15x + 5y = 45

                            +         3x - 5y = 15

The answer would be 18x = 60. The value of x is 10/3. Therefore, the answer to this item is letter A.

Read more on Brainly.com - brainly.com/question/1504559#readmore

Step-by-step explanation:

5 0
4 years ago
the length of a rectangular patio is 8 feet less than twice its width. the area of the patio is 280 square feet. find the dimens
jolli1 [7]

Answer:

The length of the rectangle 'l' = 20

The width of the rectangle 'w' = 14

Step-by-step explanation:

<u>Explanation</u>:-

Let 'x' be the width

Given data the length of a rectangular patio is 8 feet less than twice its width

2x-8 = length

The area of rectangle = length X width

Given area of rectangle = 280 square feet

x(2x-8) = 280

2(x)(x-4) =280

x(x-4) =140

x^2 -4x -140=0

x^2-14x+10x-140=0

x(x-14)+10(x-14)=0

(x+10)(x-14) =0

x = -10 and x = 14

we can choose only x =14

The width of the rectangle 14

The length of the rectangle 2x-8 = 2(14)-8 = 28 -8 =20

The length of the rectangle 'l' = 20

The width of the rectangle 'w' = 14

6 0
3 years ago
If f(x)=5fx3-2 and g(x)=x+1, find (f-g)(x)
kirza4 [7]

Answer:

5x^3-x-3

Step-by-step explanation:

5x^3-2-x-1

5x^3-x-3

3 0
3 years ago
Solve for the missing sides 30-60-90 triangle show work please and thank you
Alex_Xolod [135]

Answer:

4.

x=8\sqrt{3}

y=16

5.

x=3

y=3\sqrt{3}

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

a-a\sqrt{3}-2a

Where (a) is the side opposite the (30) degree angle, (a\sqrt{3}) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

4.

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times (\sqrt{3}). Thus the following statement can be made,

x=8\sqrt{3}

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

y=16

5.

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

y=3\sqrt{3}

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

x=3

6 0
3 years ago
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