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icang [17]
2 years ago
7

Anna is preparing the soil in her garden for planting tomatoes. The directions say to use 4 pounds of fertilizer for 120msquare

feet of soil.How much fertilizer is needed for a 180 square-foot garden
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
4 0

Answer:

6 pounds of fertilizer.

Step-by-step explanation:

We can solve this problem using rule of three:

Anna needs to use 4 pounds of fertilizer for each 120 square feet of soil. With that values, we make the first fraction: 4/120

Now, she needs X pounds of fertilizer for 180 square feet of soil. The fraction now is X/180

Then, we need to make the first fraction equal to the second, and then find the value of X:

4/120 = X/180

X = 4*180/120 = 6

So Anna will need 6 pounds of fertilizer.

Another way to solve this problem is calculating the amount of soil for one pound of fertilizer:

If 4 pounds of fertilizer is necessary for 120 square feet of soil, 1 pound is necessary for 120/4 = 30 square feet of soil.

If we have 180 square feet of soil, we divide 180 by 30 to find the amount of fertilizer necessary:

180/30 = 6 pounds of fertilizer.

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2 years ago
The radius of the large fish pond is 4 times the radius of the small fish pond.
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the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Lynna [10]

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

4 0
2 years ago
Maria will spin the arrow on the spinner 2 times. What is the probability that the arrow will stop on the same letter twice? 19
gavmur [86]
Suppose the spinner lands on <em>a</em>.  There's a 1/3 chance that it'll land on <em>a</em> the second time.
Suppose the spinner lands on <em>b</em>.  There's a 1/3 chance that it'll land on <em>b</em> the second time.
Suppose the spinner lands on <em>c</em>.  There's a 1/3 chance that it'll land on <em>c</em> the second time.

We've covered all possibilities for the first spin, and they're all equal, so their average is 1/3.

The probability that it'll land on the same letter twice is 33.3%.
5 0
2 years ago
Ne Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50. The next
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According to the given question, the required linear equations are

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And these are the the required system of linear equation .

4 0
2 years ago
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