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Sergio039 [100]
2 years ago
12

Three pounds of lawn seed covers 1800 square feet. How many 4 pound bags are needed to cover 8400 square feet?

Mathematics
1 answer:
Cloud [144]2 years ago
7 0
You need to find how much a pound of lawn seed covers.  Once you fine that divide it by 8400 square feet and you'll get your answer.
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A company earns a profit of $100 the first month it is in business. Every month after that, the company earns a profit that is 1
ryzh [129]

Answer:

506.25

Step-by-step explanation:

Month 1: $100

Month 2: 100 times 1.5 = 150

Month 3: 150 times 1.5 = 225

Month 4: 225 times 1.5 = 337.50

Month 5: 337.50 times 1.5 = 506.25

6 0
3 years ago
(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
daser333 [38]

The question is incomplete. Below is the complete question:

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11

mm and the overall height is 18 mm.

(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic

millimeter.

(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per

cubic millimeter? Round to the nearest tenth of a cubic millimeter.

Answer:

a. 603 cubic millimetre

b. 1.7 mg/mm^3

Step-by-step explanation:

The since the pill has the shape of a cylinder and 2 hemispheres at both ends of the cylinder, if we are to calculate the volume, we will need the formula for calculating the volume of a cylinder and the volume of a hemisphere:

a. The volume of a cylinder = π×r^2×h and the volume of a hemisphere = 2×π×r^3.

The total height of the pill is 18mm but that of the cylinder specifically is 11cm, so 18 - 11 = 7mm.

This becomes the combined radius of the two hemispheres. We will now split it into 2:

7/2 = 3.5mm

This becomes the radius of each of the 2 hemispheres and will be used for calculating their respective volumes. The cylinder too will share same radius with the spheres (3.5mm). Let us take π as 3.14

Volume of the pill is then:

V =[2× (2/3 × π×r^3)] + π×r^2×h

V = [2×[(2/3) × 3.14 × 3.5^3]] + 3.14 × (3.5^2) × 11

[2 × (89.752)] + 423.115

179.504 + 423.115

= 602.619

= 603mm^3 (nearest cubic millimetre)

b. In order to find out how much vitamin C the pill will contain per cubic millimetre if it is to contain 1000mg of vitamin C, we will simply divide 1,000mg by the already calculated volume:

= 1000/63

= 1.658

= 1.7 mg/mm^3 (nearest tenth)

4 0
3 years ago
Find the slope-intercept equation of the line that<br> passes through (0, 2) and has a slope of 1/2
julia-pushkina [17]

Answer:

1/2

Step-by-step explanation:

4 0
3 years ago
1. Suzie had d DVDs. Her mother bought her 39 more DVDs.
Fantom [35]

Answer:

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Step-by-step explanation:

8 0
3 years ago
In AMNO, m = 41 cm, o = 98 cm and Angle O=22º. Find all possible values of Angle M, to the nearest degree.​
skelet666 [1.2K]

Answer:

Answer:

85t

Step-by-step explanation:

1. Volume of a cone: 1. V = (1/3)πr2h 2. Slant height of a cone: 1. s = √(r2 + h2) 3. Lateral surface area of a cone: 1. L = πrs = πr√(r2 + h2) 4. Base surface area of a cone (a circle): 1. B = πr2 5. Total surface area of a cone: 1. A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

hope this helps

6 0
3 years ago
Read 2 more answers
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