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muminat
1 year ago
5

Joni has a circular garden with a diameter of 14 1/2 feet if she uses 2 teaspoons of fertilizer for every 25 square feet of gard

en, how much fertilizer will Joni need for her entire garden?
Mathematics
1 answer:
alina1380 [7]1 year ago
6 0

Answer:

13.20 teaspoon of fertiliser needed for entire garden.

Step-by-step explanation:

Diameter of the garden = 14.50 ft

Radius of the garden = 7.25 ft

Area

[tex]A=\pi r^2[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]\pi=3.14[/text]

[tex]A=\pi \times 7.25 \times 7.25[/text]

[tex]A=3.14 \times 7.25 \times 7.25[/text]

Hence

[tex]A=165.046[/text]

Area is 165.046 Sq Ft

For 25 sq ft of fields the fertiliser needed = 2 tea spoon

For 1 sq ft of fields the fertiliser needed =

[tex]\frac{2}{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed =

[tex]\frac{2 \times 165.046 }{25}[/text] tea spoon

For 165.046 sq ft of fields the fertiliser needed = 13.20 tea spoon

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Your sister helped you get a dream job at a designer clothing store and one of the perks of the job is that you get 15% off all
Arturiano [62]

Answer:

$197.30 revenue.

Step-by-step explanation:

As long as we realise that 15% = $237.50 total revenue - 15% of that revenue $40.20 and the other 15% was totaled prior and kept to one side as seen as expenditure.

revenue = r  clothing purchase = p

r = (25 x 10 -12.50) - (p15% of e235)

r = (250 - 12.50) -( e235- p23.5 +11.73)

r = (237.50) - (expenditure 235- p35.73)

r = 237.50 -(expenditure 199.27)

r= 237.50

e = 199.27

p = 35.73

Answer with out including expenditure your sister revenue was $237.50

The 15% deduction cannot be confused with the deduction from clothes.

If we were to calculate 15% of $237.50 this would be 23.7+ 16.85 =$40.2

A different  Salary related 15% contribution payments = $40.20

If these were taken from $237.50

Then $237.50- $40.20 = $197.30 revenue, but we do not have to show expenditure in the total only the workings, which is still owed being $199.27- $40.20 already paid towards.

Extension = This means because $40.20 was deducted then expenditure still to be deducted outside of the question would be   e. $199.27 - $40.20 = 159.07 still owed. Saying that the 15% was to pay your sisters contribution to the clothes and not to the state.

5 0
2 years ago
Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. O
Helga [31]
Jenny traveled 70 km/h over 2 hours and 63 km/h over 5 hours. Her travel time was a total of 7 hours. 

We need to find out how far she traveled during this 7-hour period.

70 km/h * 2 h = 140 km 
63 km/h * 5 h = 315 km

Then, we can add 140 km and 315 km to get a total distance traveled of <em>455 km/h.</em>

We were asked to find the average <em>speed.</em> We can find it now, since we have total distance traveled (455 km) and total time taken (7 hours).

Then, 
455km / 7h = 65 km/h.
6 0
2 years ago
The picture below shows a box sliding down a ramp:
Gennadij [26K]

Answer:

AC=15.1\ ft

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

so

sin(68\°)=\frac{AB}{AC}

substitute the values and solve for AC

sin(68\°)=\frac{14}{AC}

AC=\frac{14}{sin(68\°)}

AC=15.1\ ft

4 0
1 year ago
Using the power series methods solve the 1st order Lane-Emden Equation:
nikklg [1K]

Answer:

Step-by-step explanation:

xy = 2y + xy = 0

Hence, 2y + xy = 0 ---------(1)

Differentiating equation (1) n times by Leibnitz theorem, gives:

2y(n) + xy(n) + ny(n - 1) = 0

Let x = 0: 2y(n) + ny(n - 1) = 0

2y(n) = -ny(n - 1)

∴ y(n) = -ny(n - 1)/2 for n ≥ 1

For n = 1: y = 0

For n = 2: y(1) = -y

For n = 3: -3y(2)/2

For n = 4: -2y(3)

5 0
1 year ago
Amy is 1 year older than Ben. The sum of their ages is greater than 33 and less than 45 Find all possible ages of Ben
Ainat [17]

Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

4 0
1 year ago
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