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Tom [10]
3 years ago
6

Working alone, it would take Shandra 45 minutes to mow the lawn. To mow the same lawn, also working alone, it would take Kelly 1

hour and 15 minutes. If they work together, the girls believe it will take them 1 hour to mow the lawn. Which best describes the reasonableness of their solution?
Mathematics
2 answers:
qaws [65]3 years ago
6 0
No! It would take them two hours. Seventy-five(an hour and fifteen minutes) plus sixty minutes would equals one thirty-five. Which is two hours.
Nadusha1986 [10]3 years ago
5 0

Given: Shandra can do the complete work in 45 minutes.

So, Shandra's 1-minute work = 1 / 45  and

Kelly can do the same complete work in 1 hour and 15 minutes = 75 minutes.

So, Kelly's 1-minute work = 1 / 75

Now, we shall calculate Shandra's and Kelly's 1-minute work

By both 1 minute work = (1/45) + (1 / 75) = 8 / 225

∵ 8 /225 Parts can be completed by both = in 1 minute

∴ Complete work (1) can be completed by both = 225 / 8 minutes

or,                                                                           = in 28 minutes and 7.5 second

Hence, the assumption taken by both was incorrect.

The best described time will be 28 minutes and 8 seconds.  

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3:2

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60:40

you need to simplify 60:40

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x-intercept: -1

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1 year ago
There is a set of 12 cards numbered 1 to 12. A card is chosen at random. Event A is choosing a number less
kaheart [24]

The number of permutations of picking 4 pens from the box is 30.

There are six different unique colored pens in a box.

We have to select four pens from the different unique colored pens.

We have to find in how many different orders the four pens can be selected.

<h3>What is a permutation?</h3>

A permutation is the number of different arrangements of a set of items in a particular definite order.

The formula used for permutation of n items for r selection is:

    ^nP_r = \frac{n!}{r!}

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1

We have,

Number of colored pens = 6

n = 6.

Number of pens to be selected = 4

r = 4

Applying the permutation formula.

We get,

= ^6P_4

= 6! / 4!

=(6x5x4x3x2x1 ) / ( 4x3x2x1)

= 6x5

=30

Thus the number of permutations of picking  4 pens from a total of 6 unique colored pens in the box is 30.

Learn more about permutation here:

brainly.com/question/14767366

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6 0
1 year ago
If r + t = 10 and -r + t = 4, What is the value of 5r + 8t?
ikadub [295]

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7 0
3 years ago
An atlas contains a map of Ohio. The table shows data from the key on the map.
Rashid [163]

Answer:

The answer is below

Step-by-step explanation:

a) The graph is attached

b) The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:

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The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.

c) y = 2.5x

put x = 48 mm

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y = 120 miles

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d) y = 2.5x

Put y = 225 miles

225 = 2.5x

x = 225/2.5

x = 90 mm

The distance on map between Cincinnati and Cleveland is about 90 mm.

8 0
3 years ago
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