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aivan3 [116]
3 years ago
5

a lawn care company uses 500 pounds of fertilizer per acre to treat a lawn. today the lawn they are treating is 3/4 of an acre.

how much fertilizer will it need to treat the lawn?
Mathematics
1 answer:
RUDIKE [14]3 years ago
3 0

Answer:

375 pound is needed for 3/4 as we can show 125 pound each 1/4 acre

Step-by-step explanation:

3/4 of an acre = 3/4 of 500 = 375

1/4 = 125    

125 x 3 = 375

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Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the
HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0
3 years ago
The face of a clock has a circumference of 63 in. What is the area of the face of the clock?
ryzh [129]

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

So the area of the face of the clock =315.41\ in^{2}

6 0
3 years ago
Tickets for a minor league baseball game for an adult and two children cost a total of $21 the adult ticket is three dollars mor
oksian1 [2.3K]

Answer:the cost of one child's ticket is $6

the cost of one adult ticket is $9

Step-by-step explanation:

Let x represent the cost of one child's ticket

Let y represent the cost of one adult ticket.

Tickets for a minor league baseball game for an adult and two children cost a total of $21. This means that

2x + y = 21 - - - - - - - - - - 1

The adult ticket is three dollars more than a child's ticket. This means that

y = x + 3

Substituting y = x + 3 into equation 1, it becomes

2x + x + 3 = 21

3x + 3 = 21

3x = 21 - 3 = 18

x = 18/3 = 6

y = x + 3 = 6 + 3

y = 9

6 0
3 years ago
The sides of a triangle are in the ratio of 1:2:2 and the perimeter of the triangle is 15 feet. The length of the shortest side
Nataly_w [17]
Attached the solution and work.

5 0
3 years ago
4x+15=6x-5 solve for x
hram777 [196]

Answer:

x = 10

Step-by-step explanation:

Breaking down the equation

4x+15=6x-5\\4x+15-15=6x-5-15\\4x=6x-20\\4x-6x=6x-20-6x\\-2x=-20\\\frac{-2x}{-2}=\frac{-20}{-2}

Simplification

\frac{-2x}{-2}\\=\frac{2x}{2} (\frac{-x}{-y} = \frac{x}{y})\\\frac{2}{2} = 1 = x\\\\\frac{-20}{-2}\\=\frac{20}{2}\\\frac{20}{2}\\=10

6 0
2 years ago
Read 2 more answers
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