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3 years ago

You use 4 gallons of water on 14 plants in your garden. At this rate, how much water will it take to water 35 plants?

Mathematics

1 answer:

Phoenix [80]3 years ago

5 0

Answer:

10 gallons

Step-by-step explanation:

Step 1:

4 : 14 = x : 35

Step 2:

14x = 140

Answer:

x = 10

Hope This Helps :)

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Can someone please help me find the area of this polygon, thank you!

Amanda [17]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

<em>Look at the picture</em>

We can divide a given polygon into three rectangles:

$21ft\ \times\ 10ft,\ 4ft\ \times\ 6ft,\ 6ft\ \times\ 6ft$

The formula of an area of a rectangle <em>l × w </em>:

$A=l\cdot w$

Calculate the area of each of the rectangles:

$A_1=(21)(10)=210\ ft^2\\\\A_2=(4)(6)=24\ ft^2\\\\A_3=(6)(6)=36\ ft^2$

The area of the given polygon:

$A=A_1+A_2+A_3\\\\A=210+24+36=270\ ft^2$

<h3 /><h3>METHOD 2:</h3>

<em>Look at the second picture</em>.

We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):

$A_S=(11)(6)=66\ ft^2\\\\A_L=(21)(16)=336\ ft^2\\\\A=A_L-A_S\to A=336-66=270\ ft^2$

7 0

3 years ago

What is the smallest number which is one less than twice its reciprocal?

notka56 [123]

Answer:

The smallest number is x = -2

for which this statement holds !!

Step-by-step explanation:

Let as assume the number be x

then the number is one less than twice its reciprocal i.e,

$x = \frac{2}{x} - 1$

[ For solution refer to the attached file ]

Method used to solve quadratic equation is Splitting the middle term !!

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3 years ago

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deff fn [24]

Answer: B : The high temperature in Memphis decreased steadily.

Step-by-step explanation:

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2 years ago

A number x multiplied by 4/7 is less than 12/5

morpeh [17]

Step-by-step explanation:

$a \: number \: x \: multiplied \: by \: \frac{4}{7 } \\ x \times \frac{4}{7 } \\ is \: less \: than \frac{12}{5} \\ x \times \frac{4}{7 } < \frac{12}{5} \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times \frac{4}{7} < \frac{12}{5} \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\ \frac{700}{700} x < \frac{84}{700 } \\ x < \frac{84}{700} or \: 0.12$