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lord [1]
2 years ago
15

The rate of planting the grass is ` x per square meter. Find the cost of planting the grass on a

Mathematics
1 answer:
kotegsom [21]2 years ago
3 0

Step1: Find the area of the triangular lawn

             Given, base of the triangle is y metres and the height is z metres

             Area of the triangle =

2

1

​

× base × height

             Therefore, area of the triangular lawn =

2

1

​

yz metre  

2

.

Step 2:Find the cost of planting the grass

             Rate of planting the grass is Rs. x per square metre.

             Therefore, the cost of planting the grass on a triangular lawn =cost per square meter × area of the triangular lawn

              =x×

2

1

​

yz=

2

1

​

xyz

Hence, the cost of planting the grass on a triangular lawn whose base is y metres and  height is z metres is Rs.  

2

1

​

x y z.

Step-by-step explanation:

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5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

3 0
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A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 14901490 and the standard dev
kicyunya [14]
<h2>Answer with explanation:</h2>

Given : A standardized​ exam's scores are normally distributed.

Mean test score : \mu=1490

Standard deviation : \sigma=320

Let x be the random variable that represents the scores of students .

z-score : z=\dfrac{x-\mu}{\sigma}

We know that generally , z-scores lower than -1.96 or higher than 1.96 are considered unusual .

For x= 1900

z=\dfrac{1900-1490}{320}\approx1.28

Since it lies between -1.96 and 1.96 , thus it is not unusual.

For x= 1240

z=\dfrac{1240-1490}{320}\approx-0.78

Since it lies between -1.96 and 1.96 , thus it is not unusual.

For x= 2190

z=\dfrac{2190-1490}{320}\approx2.19

Since it is greater than 1.96 , thus it is unusual.

For x= 1240

z=\dfrac{1370-1490}{320}\approx-0.38

Since it lies between -1.96 and 1.96 , thus it is not unusual.

5 0
3 years ago
Isabella went to the salon and was charged $72.60 for a cut and color. She added 20% to the cost as a
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A. assuming the sales tax is already added to the 72.60 all you have to do is add 20%
3 0
3 years ago
The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dolla
Flauer [41]

Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

(C) the profit function for X units produced and sold is: π(x) = R(x) - C(x)

where pie (the symbol "π") represents PROFIT.

Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

660R(x) = 245x

R(x) = 245x ÷ 660 = 0.3712x

So R(x) = 0.3712x ...(equation 2)

To find X, equate the cost function to the revenue function

75x + 84 = 0.3712x

X = -1.126units

Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

|X| = 1.126 hence X = 1.126 now

Since we equated cost to revenue in order to get this quantity X, X is the quantity produced and sold at break even point.

Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

(B) Revenue = Price × Quantity

R = P×Q

Our revenue here is 0.3712x

Which is equal to 0.418 dollars

So P = R÷Q

Price = 0.418÷1.126 = 0.37 dollars

(C) This is the profit function from producing and selling X units of the product: π(x) = R(x) - C(x)

4 0
3 years ago
Need help right now!!!!!
Irina18 [472]

Answer:

I just took the test and the correct answer is -6 is not in the domain of f g

Step-by-step explanation:

6 0
3 years ago
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