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77julia77 [94]
3 years ago
14

A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and

area (a) can be written as a =kp. What is the value of k?
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

k is 400 square feet per pound

Step-by-step explanation:

In this problem, we know that a 10-pounds bag of grass seed covers an area of about 4000 square feet.

We can write the relationship between pounds of grass seed (p) and area (a) as

a=kp

where k is the constant of proportionality between the two variables.

We can find the value of k simply by re-arranging the equation and substituting the values of a and p.

Re-arranging the equation,

k=\frac{a}{p}

And substituting the values of a and p,

k=\frac{4000}{10}=400 ft^2/p

Which means k is equal to 400 square feet per pound.

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

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Which is a quadratic function having a leading coefficient of 3 and a constant term of –12? f(x) = –12x2 3x 1 f(x) = 3x2 11x – 1
eimsori [14]

The correct option is b.

<h2>Quadratic Equation</h2>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

<h2>Leading coefficient </h2>

The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.

Given options:

a.)  f(x) = -12x^2+3x+1 \\

b.)  f(x) = 3x^2+11x-12 \\

c.)  f(x) = 12x^2+3x+3\\

d.)  f(x) = 3x -12.

<h3 /><h3>Solution</h3>

As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,

3x²+bx+c,

Also, the value of the constant is -12, therefore, the value of c is -12,

3x²+bx-12

From all the given options the only feasible option is b only.

Hence, the correct option is b.

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8 0
2 years ago
A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solv
lesya692 [45]

Answer:  Equation:  5x = 62.50 - 12.50    or   x = \frac{62.50-12.50}{5}  

x is the cost of each shrub  x = $10

Step-by-step explanation:  Total bill = $62.50.

Subtract the cost of potting soil for $12.50 to find the cost of just the shrubs.   5x  equals that amount

5x = 62.50 - 12.50

5x = 50   divide both sides by 5  

5x/5 = 50/5

x = 10

6 0
3 years ago
What is the area of the composite figure
kati45 [8]

To solve this we will divide the given composite figure into three figures. The three figures will be 2 squares and 1 rectangle. Let's find their areas and add them!

\boxed{ \sf \: area \: of \: square =side ^{2}  }

  • Side 3 metre

\rm \implies \: area = 3 ^{2}

\rm \implies9

<em>Thus, The area of 1st square is 9m²...</em>

  • The area of second square will be also 9m², because the sides of both squares are equal.

<h3>Now area of the reactangle⤵️</h3>

  • Length = 6m
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\sf \: area \: of \: rectangle = length \times breadtg

\tt \dashrightarrow \: area = 10 \times 3

\tt \dashrightarrow \: area = 30m ^{2}

<em>Thus, The area of rectangle is 30m²....</em>

  • Now, Add area of all the figures to get the total area.

\bf \:total \: area = 9 + 9 + 30 \\   \bf= 48m {}^{2}

<h3><em>Therefore, The total area of the composite figure is 48m²...~</em></h3>
8 0
2 years ago
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ch4aika [34]

Answer:

The answer is 12.4

Step-by-step explanation:

Because it is this way.

4 0
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Solve the problem. Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers.
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22/5=4 and 2/5

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5 0
2 years ago
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