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Leni [432]
3 years ago
9

A bag of fertilizer covers 3000 square feet of lawn. Find how many bags of fertilizer should be purchased to cover a rectangular

lawn 230 feet by 180 feet
Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

14 bags

Step-by-step explanation:

Dimension of lawn : 230 feet by 180 feet

area of rectangle is given by length * width

Since lawn is rectangular area of lawn = 230 feet * 180 feet = 41,400 sq. feet

Given that one bag of fertilizer covers 3000 square feet of lawn.

Thus , to find no. of bags required to cover whole lawn will be

total area of lawn/area which one bag of  fertilizer covers

no. of bags required to cover whole lawn = 41,400 sq. feet/3000 sq. feet

    = 13.8 bags.

As no. of bags cannot be fractional , hence rounding bag to nearest unit place is 14 bags.

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The cashier has been directed to sell an item for half off its regular price of$1.98.what is the sale price
galben [10]
$1.98 divided by 2 is $0.99
So the sale price is $0.99
4 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed.
LenaWriter [7]

Answer:

C. V = two-thirds (27)

Step-by-step explanation:

Given

Solid Shapes: Cylinder and Sphere

Volume of Cylinder = 27π ft³

Required

Volume of the sphere.

From the question,

<u>We have that</u>

1.  The volume of the sphere is the same as the volume of the cylinder

2. The height of the sphere is the same as the height of the cylinder.

From (2) above;

This means that the height of the cylinder equals the diameter of the sphere.

Let h represent the height of the sphere and d represent the diameter of sphere.

Mathematical, d = h

Recall that radius, r = r = \frac{d}{2}

Substitute h for d in the above expression

r = \frac{h}{2}. ----- (take note of this)

Calculating the volume of a cylinder.

V = πr²h

Recall that  V = 27; This gives us

27 = πr²h

Divide both sides by h

\pi r^2 = \frac{27}{h}

-------------------

Calculating the volume of a sphere

V = \frac{4}{3}\pi r^3

Expand the above expression

V = \frac{4}{3}\pi r^2 * r

Substitute \pi r^2 = \frac{27}{h}

V = \frac{4}{3} * \frac{27}{h} * r

Recall that r = \frac{h}{2}

So,

V = \frac{4}{3} * \frac{27}{h} * \frac{h}{2}

V = \frac{4}{3} * \frac{27}{2}

V = \frac{2}{3} * 27

V = \frac{2}{3} (27)

V = two-third (27)

4 0
3 years ago
Can somebody please help i need the help to help me pass my math class thx so much if you can
natulia [17]

Answer:

Step-by-step explanation:

1. x = 11.2

2. 13

3. 9

4. -7/15

5. 15b

6. -12x + 16

7. 4x + 4

8. 11x-10

9. 10a + 5

10. -x, 15, and 2b

Hope that helps, and good luck!

4 0
3 years ago
The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in t
Mekhanik [1.2K]

Given:

The shaded sector above covers \dfrac{1}{3} of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

A=\pi r^2

Substituting r=3, we get

A=\pi (3)^2

A=9\pi

It is given that the shaded sector above covers \dfrac{1}{3} of the circle.

The area of shaded sector =\dfrac{1}{3}A

                                             =\dfrac{1}{3}(9\pi)

                                             =3\pi

Therefore, the area of shaded sector is 3π sq. cm.

5 0
3 years ago
What is the area of a rectangle that is 2/5 inches long and 1/2 inches wide?
Sladkaya [172]

Answer:

c

Step-by-step explanation:

1/2x2/5=2/10

multiply both denominators by each other, then with numerator.

6 0
3 years ago
Read 2 more answers
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