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Leviafan [203]
2 years ago
13

The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de

pth of the mulch (d) in feet. If you need 10 bags to mulch 120ft to a depth of 3in. How many bags do you need to mulch 200ft to a depth of 4in? HELPPP ASAP WILL GIVE BRAINLIST !!!
Mathematics
1 answer:
Lena [83]2 years ago
8 0

Answer:

  22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

   z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

  n = kad

  10 = k·(120)(1/4)

  10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

  n = (1/3)·(200)·(1/3) = 200/9

  n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

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Zoey inflated 24 balloons for the high school dance. If Zoey inflated 15% of the total number of balloons at the dance, how many
Eva8 [605]

Answer:

Total number of balloons= 160

Step-by-step explanation:

Giving the following information:

Number of balloons inflated by Zoey= 24

Proportion of balloons inflated= 15%

<u>To calculate the total number of balloons, we need to use the following formula:</u>

Total number of balloons = Number of balloons inflated by Zoey / Proportion of ballons inflated

Total number of balloons= 24 / 0.15

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4 0
2 years ago
(Please help with this, I'm in the middle of a quiz)
astraxan [27]

Answer:

D)16 ft (feet)

Step-by-step explanation:

20x24=256ft

Then you square root that and get 16.

Hope this helps.

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3 years ago
A line with a slope of 2/5 passed through the point (-2,3). Write the equations of the line in point-slope form and graph the li
DochEvi [55]

Answer:

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Step-by-step explanation:

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y - 3 = (2/5)(x + 2)

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3 years ago
Please help! And I need the steps too!
fomenos

Answer:

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Step-by-step explanation:

Step 1: 2-9-5-3-2-2^{3}

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Step 3: -25

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Answer:

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Step-by-step explanation: there

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