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USPshnik [31]
3 years ago
8

Debra's rectangular vegetable garden measures 93 yards by 12 yards.

Mathematics
1 answer:
77julia77 [94]3 years ago
5 0

Answer:

126 cups of fertilizer

Step-by-step explanation:

<u><em>The complete question is</em></u>

Debra's rectangular garden measures 9 1/3 by 12 yards .a bottle of fertilizer cost $14.79 .if Debra needs to mix 1/8 cup of fertilizer with water for each square foot of her garden how many cups of fertilizer does she need?

step 1

Find the area of the rectangular garden

The area of rectangle is equal to

A=LW

we have

L=9\frac{1}{3}\ yd=9+\frac{1}{3}=\frac{9*3+1}{3}=\frac{28}{3}\ yd

W=12\ yd

substitute

A=(\frac{28}{3})12=112\ yd^2

step 2

Convert square yards to square feet

Remember that

1\ yd=3\ ft

1\ yd^2=9\ ft^2

so

112\ yd^2=112)9)=1,008\ ft^2

step 3

Find how many cups of fertilizer does she need

using proportion

\frac{(1/8)}{1}\ \frac{cups}{ft^2}=\frac{x}{1,008}\ \frac{cups}{ft^2}\\\\x=1,008/8\\\\x=126\ cups

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Write the comparison of $18 to $12 as a ratio in simplest form using a colon.
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Answer:

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Step-by-step explanation:

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3 years ago
Y: 2y - 3(4y-3) = 9y + 28
Elanso [62]

Answer:

y = - 1

Step-by-step explanation:

Given

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2y - 12y + 9 = 9y + 28

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Ice cream is being put into a cone at a rate of 4 cm3/s. The cone has a radius of 2 cm and a height of 8 cm.
almond37 [142]

Answer:

0.5052 cm per sec ( approx )

Step-by-step explanation:

∵ The volume of a cone is,

V=\frac{1}{3}\pi (r)^2h

Where,

r = radius,

h = height,

Here, r = 2 and h = 8,

Thus, the volume of the cone is,

V=\frac{1}{3}\pi (2)^2 8=\frac{32\pi }{3}

When the cone is half filled,

Volume would be,

V_1=\frac{V}{2}=\frac{16\pi }{3}

Now, \frac{r}{h}=\frac{1}{4}\implies r=\frac{h}{4}

V_1=\frac{1}{3}\pi (\frac{h}{4})^2 h=\frac{\pi h^3}{48}----(1)

\implies \frac{\pi h^3}{48} = \frac{16\pi }{3}

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Differentiating equation (1) with respect to t ( time )

\frac{dV_1}{dt}=\frac{\pi h^2}{16}\frac{dh}{dt}

We have, \frac{dV_1}{dt}=4\text{ cube cm per s},h=6.35\text{ cm}

4=\frac{\pi (6.35)^2}{16}\times \frac{dh}{dt}

\implies \frac{dh}{dt}=\frac{64}{6.35^2 \pi}\approx 0.5052\text{ cm per sec}

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3 years ago
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