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Goshia [24]
3 years ago
5

The number of cows on a farm increased by 60. Because of better food, the amount of milk from each cow went up from 12.8 liters

per day to 15 liters per day on the average. How many cows are on the farm now if the farmer gets 1340 liters of milk more per day?
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

Step-by-step explanation:

Number of cows increased=60

Old quality of milk consumed=12.8litres

New Increase in milk consumed=15litres

Therefore the number of cows in the farm if the quality of milk is 1340litres=y

Therefore, 1cow =15litres

y cows= 1340litres

Crossmultiply:

15litres×ycows=1340litres

Make y the subject of formula

y= 1340÷15

y=89.33cows

Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.

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The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​
wariber [46]

Answer:

<em>y - 7 = 1 (x-5)</em>

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the following

m = 1

(x0, y0) = (5, 7)

Substitute into the formula

y - 7 = 1 (x - 5)

y - 7 = x -5

y = x - 5 + 7

y = x + 2

<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>

<em></em>

<em></em>

3 0
2 years ago
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of
never [62]

Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

Volume\ of\ a\ cylinder = \pi r^{2} h

Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

\pi = 3.14

Thus

Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2

                                             = 62.8 cm³

Thus the volume of a cylinder is 62.8 cm³ .

Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}

Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}

Volume\ of\ a\ cone =\frac{62.8}{3}

                                        = 20.9 (Approx) cm³

Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

8 0
3 years ago
Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each
kiruha [24]

Laura received 144 orders over the first year

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

<em><u>Thus total orders received over first year:</u></em>

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

8 0
2 years ago
Wich one of these numbers is an rational but not an integer -9 , 0-4.3, 3
abruzzese [7]
-4.3 is rational but it is not an integer
3 0
3 years ago
Consider the equation 40x-25y=15
Tems11 [23]

Answer:

The second equation can be written by equation (1) is given below

8x-5y=3

The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.

Step-by-step explanation:

Given equation is 40x-25y=15\hfill (1)

To find the second equation to create the given system of equations to have infinitely many solutions :

The second equation can be written by equation (1) is given below

8x-5y=3

The two equations represents the same line and therefore they have an infinite number of solutions that are true for both equations.

4 0
3 years ago
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