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zepelin [54]
3 years ago
9

Horalco's garden is shown below. He needs 1 1/3 scoops of fertilizer for each square foot of the garden. How many scoops of fert

ilizer does Horaclo need for the entire garden? (Garden is 10 1/2 ft by 5 1/2 ft)
Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer: he would need 77 scoops of fertilizer.

Step-by-step explanation:

The measure of Horalco's garden is

10 1/2 ft by 5 1/2 ft. Converting to improper fraction, it becomes 21/2 ft by 11/2 ft. The garden is rectangular in shape and the formula for determining the area of a rectangle is expressed as

Area = length × width.

Therefore, area of the garden is

21/2 × 11/2 = 231/4 ft²

He needs 1 1/3 scoops of fertilizer for each square foot of the garden. Converting to improper fraction, it becomes 4/3 scoops. Therefore, the number of scoops of fertilizer that Horaclo need for the entire garden is

4/3 × 231/4 = 77 scoops of fertilizer.

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Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult
viktelen [127]

Answer:

13 children and 9 adults if the total cost is $152.5

Step-by-step explanation:

Let x children and y adults

x + y = 22 (1)

5.5x + 9y = 125.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 125.5

5.5x + 198 - 9x = 125.5

-3.5x = 125.5 - 198

-3.5x = -72.5

x = 20.7

y = 22 - x = 1.3

Which is not possible

If the total cost is $152.5

x + y = 22 (1)

5.5x + 9y = 152.5 (2)

y = 22 - x

5.5x + 9(22 - x) = 152.5

5.5x + 198 - 9x = 152.5

-3.5x = 152.5 - 198

-3.5x = -45.5

x = 13

y = 22 - 13 = 9

3 0
3 years ago
2. Consider the function, f(x)=x^3+x^2-9x-9
Sedaia [141]

The intercepts of the graph are:

x-axis interception: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception: \left(0,\:-9\right).

See the graph of the function f(x)=x^3+x^2-9x-9  in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

  • Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4.  In others words, the values of x will be in this interval.

  • Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: \left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21.  Do this for the all x-values of your ranges.

See the results for this step in the attached table.

  • Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0)  are: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception point (x=0) is: \left(0,\:-9\right).

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0
2 years ago
What is 1/4 times 2/4
boyakko [2]
1/4= 0.25
2/4= 1/2 = 0.5
0.25 x 0.5 = 0.125
0.125 = 1/8
8 0
3 years ago
1. What is the formula for Pythagorean Theorem
Debora [2.8K]

Answer:

The formula is a^2 + b^2 = c^2

Step-by-step explanation:

A and B are legs and C is the hypothunisis.

The theorem is used for triangles.

4^2  + 5^2 = c^2

16 + 25 = c^2

41 = c^2

sqr(41) = sqr(c)^2

c = 6.403124237

4 0
2 years ago
Which of the following could result in higher living costs for the homeowner that the renter doesn’t have?
Reptile [31]

Answer:

C. Maintenance

Step-by-step explanation:

hope this helped

5 0
2 years ago
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