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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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1 inch =2.5cm
lenght =30.25×2.5=75.625cm
width = 21×2.5=52.5cm
area of painting = 75.625×52.5=3970.3125cm²
7 0
3 years ago
Element X decay radioactively with a half life of 14 minutes. if there are 490 g of element X how long to the nearest 10th of a
IgorC [24]

Answer:

27.9

Step-by-step explanation:

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Is (3, 4) a solution of y < 4x – 2 ?
telo118 [61]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Two students from a group of eight boys and 12 girls are sent to represent the school in a parade. If the students are chosen at
n200080 [17]

Answer: The probability of selecting at least one boy (the probability that the 2 students selected are not both girls) is 62/95 or 0.6526

Step-by-step explanation:

From the question, the students to be chosen must be selected from a group of eight boys and twelve girls. This means that the total number of students that these two students must be chosen from is:

8 + 12 = 20 students.

The next step would be to find the probability of selecting a boy:

= Total number of boys/Total number of students

= 8/20

We will also find the probability of selecting one girl from the group

= Total number of girls/Total number of students

= 12/20

To find the probability that the two selected students are not girls is the same as finding the probability of selecting at least one boy. To do this, we will first find the probability of choosing all girls and then subtract it from 1.

The probability of selecting or choosing 2 girls (without replacement)

(12/20) × (11/19)

= 132/380

= 33/95

Then, the probability of selecting at least one boy (the probability that the students chosen are not both girls)

= 1 - (33/95)

= (95/95) - (33/95)

= 62/95 or 0.6526

8 0
4 years ago
solve using the addition method. what is the x-value of the solution to the system? 2x-3y=-1 3x+4y=24
AysviL [449]

Answer:

x-value is 4

Step-by-step explanation:

2x-3y=-1

3x+4y=24

We can solve the equation by eliminating y

We multiply the first equation by 4 and the second by 3

4(2x-3y=-1 )

3(3x+4y=24)

8x -12y = -4

9x +12y = 72

Then we add the two equations;

8x -12y = -4

9x +12y = 72

17x = 68

  x = 4

Thus the x-value is 4

4 0
4 years ago
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