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stiv31 [10]
3 years ago
14

The label on a 1.25 pound bag of wildflower seeds states that it will cover an area of 280 square feet. Based on this informatio

n, what is the number of square feet that 1 pound of wildflower seeds will cover?
Mathematics
1 answer:
Deffense [45]3 years ago
8 0

Answer:

1 pound of sunflower seeds will cover about 187 square feet of land

Step-by-step explanation:

To solve this problem, we will have to assume that there is a linear relationship between the net weight of the wildflower seeds and the area of land it can cover when planted.

Based on this assumption, we can find the number of square feet that a 1 pound bag will cover, by setting up a simple relationship as shown below:

if 1.5 pounds covers 280 square feet

1 pound will cover x square feet.

by cross multiplying, we have that

x = (280 X 1) / 1.5 = 186.66 square feet.

Therefore, 1 pound of sunflower seeds will cover about 187 square feet of land

You might be interested in
Two airplanes are flying in the air at the same height: airplane A is flying east at 250 mi/h and airplane B is flying north at
just olya [345]

Answer:

  decreasing at 390 miles per hour

Step-by-step explanation:

Airplane A's distance in miles to the airport can be written as ...

  a = 30 -250t . . . . . where t is in hours

Likewise, airplane B's distance to the airport can be written as ...

  b = 40 -300t

The distance (d) between the airplanes can be found using the Pythagorean theorem:

  d^2 = a^2 + b^2

Differentiating with respect to time, we have ...

  2d·d' = 2a·a' +2b·b'

  d' = (a·a' +b·b')/d

__

To find a numerical value of this, we need to find the values of its variables at t=0.

  a = 30 -250·0 = 30

  a' = -250

  b = 40 -300·0 = 40

  b' = -300

  d = √(a²+b²) = √(900+1600) = 50

Then ...

  d' = (30(-250) +40(-300))/50 = -19500/50 = -390

The distance between the airplanes is decreasing at 390 miles per hour.

3 0
4 years ago
A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the bord
amid [387]

Answer:

width of the border is 3 inches

Step-by-step explanation:

Given data

size = 8 inches by 10 inches

area = 144 square inches

to find out

width of the border

solution

first we consider width of border is x

area of new full rectangle =  (8 + 2x ) × ( 10 + 2x )

so we know  area of photo = 8 × 10 = 80 square inches

and area of border = 144 square inches that is given

so new area of photo with the border is 80 + 144 = 224 square inches

and we can say that

area of full rectangle  - area of the photograph = Area of Border

(8 + 2x) × (10 + 2x) – (80) = 144  square inches

80 + 16x + 20x + 4x^{2} – 80 = 144

4x^{2} + 36x – 144 = 0

solve thios equation we get  

2x^{2} + 9x – 36 = 0

solve thios equation we get  

(x + 12) (x – 3) = 0  

so here x have two value one is negative and other is positive

so we consider only positive value

x = -12 or x = 3

width of the border is 3 inches

7 0
3 years ago
In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.
soldi70 [24.7K]

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

(a)

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a <u>parameter</u>.

(b)

In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a <u>statistic</u>.

(c)

The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a <u>statistic</u>.

(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a <u>parameter</u>.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a <u>statistic</u>.

4 0
3 years ago
A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If
Nataly [62]

Answer:

The function is missing in the question. The function is $ C(x) = 0.8x^2 -544x +97410 $

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

$ C(x) = 0.8x^2 -544x +97410 $

Cost will be minimum when

x = -(-544)/ 2 x 0.8

  = 340

Therefore, minimum cost for unit car is

$ C(x) = 0.8x^2 -544x +97410 $

$ = 0.8(340)^2 -544(340) +97410 $

=  4930

4 0
3 years ago
maggie spent 4.50 on cheese and fruit at the farmers market. she bought 1/8 pound of apples, 1/4 pound of pears and 1.25 pounds
serious [3.7K]

The produced answer is 5.5


                         hope it helps

4 0
3 years ago
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