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kvasek [131]
3 years ago
6

The length of a vegetable garden is 4 feet longer than its width. If the area of the garden is 45 square feet, find its dimensio

ns.
Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:

The dimension of the vegetable garden farm is 9 feet by 5 feet

Step-by-step explanation:

In this question, we are tasked with calculating the dimensions of vegetable garden that is rectangular in shape.

Let the width of the garden be x feet, since the length of the garden is 4 feet longer, the length thus have a measure of (x + 4) feet

we have the value of the area, meaning multiplying the length and the width will yield that area

x(x + 4) = 45

x^2 + 4x -45 = 0

x^2 +9x -5x -45 = 0

x(x + 9) -5(x + 9) = 0

(x-5)(x+9) = 0

x = 5 or -9

we ignore the negative and width cannot be negative

Thus, x = 5 feet

Length = x + 4 = 5 + 4 = 9 feet

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Dafna1 [17]

Answer:

2 : 3

Step-by-step explanation:

A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc diameter.

Answer: Let the diameter of the mini disc be d_1 while the diameter of the disc be d_2. To get the ratio of the mini disc diameter to the disc diameter, we just simply have to divide the diameter of the mini disc by the diameter of the disc and then represent the fraction in ratio form. The ratio of the disc diameters is given by:

Ratio of the mini disc diameter to the disc diameter = Diameter of mini disc / diameter of disc

Ratio of the mini disc diameter to the disc diameter = \frac{14}{21}=\frac{2}{3}

Ratio of the mini disc diameter to the disc diameter = 2 : 3

3 0
3 years ago
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Bond [772]
If your looking for the sum, it would be -5 :)
4 0
3 years ago
Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!
aliya0001 [1]

Answer:

Flour 5\dfrac{1}{2}\ c

Sugar 2\dfrac{2}{3}\ c

Butter 1\dfrac{1}{2}\ c

Eggs 2

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Step-by-step explanation:

There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat 16\cdot 3=48 cookies.

Given cookie recipe makes 24 cookies, so to make 48 cookies you need

48:24=2 portions.

Thus,

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Flour      2 \dfrac{3}{4}\ c               2\dfrac{3}{4}\cdot 2=2\cdot 2+\dfrac{3}{4}\cdot 2=4+\dfrac{3}{2}=4+1 \dfrac{1}{2}=5\dfrac{1}{2}\ c

Sugar    1\dfrac{1}{3}\ c                  1\dfrac{1}{3}\cdot 2=1\cdot 2+\dfrac{1}{3}\cdot 2=2+\dfrac{2}{3}=2\dfrac{2}{3}\ c

Butter    \dfrac{3}{4}\ c                  \dfrac{3}{4}\cdot 2=\dfrac{3}{2}=1\dfrac{1}{2}\ c

Eggs      1                           1\cdot 2=2

Powder 3\dfrac{1}{2}\ t                  3\dfrac{1}{2}\cdot 2=3\cdot 2+\dfrac{1}{2}\cdot 2=6+1=7\ t

Vanilla   1\dfrac{1}{2}\ t                  1\dfrac{1}{2}\cdot 2=1\cdot 2+\dfrac{1}{2}\cdot 2=2+1=3\ t

8 0
3 years ago
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igomit [66]

Answer:

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Step-by-step explanation:

:)

5 0
3 years ago
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8x-2x=24+6
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3 years ago
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