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AysviL [449]
3 years ago
12

A farmer is going to plant carrots on 4 3/10 acres, corn on 4 7/30 acres and peppers on 2 7/15 acres. If each acre requires 25 b

ags of fertilizer, how many bags of fertilizer does the farmer need to plant all the acres?
Mathematics
1 answer:
Sindrei [870]3 years ago
5 0
To convert mixed fractions to improper fractions:

a b/c=(ac+b)/c so we have:

43/10+127/30+37/15 now making all terms have a common denominator of 30

(43/10)(3/3)+(127/30)(1/1)+(37/15)(2/2)

129/30+127/30+74/30

(129+127+74)/30

330/30

11 acres

Now

11a(25b/a)=275 bags of fertilizer.


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AB lies on a number line. The coordinate of point A is -6. Given that AB=20, what are two possible coordinates for point B?
Dafna1 [17]

Answer:

<em>-26 or 14</em>

Step-by-step explanation:

Given that

Coordinate of point A is -6.

Length of AB = 20

To find:

Coordinates for the point B = ?

Solution:

We are given that:

AB = 20

In other words, we can use modulus function to define the distance between A and B:

|Coordinates of B - Coordinates of A| = 20

Let the coordinates of B = x

Kindly refer to the attached image for the given situation.

Point B might be either on the left or on the right side of A.

That means:

|x-(-6)| = 20\\\Rightarrow |x+6|=20

Now, let us have a look at the modulus function:

|y|=\left \{ {-{y}\ if\ y0} \right.

So,

|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)0} \right.

(x+6 ) =20\\\Rightarrow x =14

-(x+6 ) =20\\\Rightarrow x =-26

Therefore, the answer is:

<em>-26 or 14</em>

4 0
3 years ago
Given that 6x – 5y = 14<br>Find x when y = 2​
Sloan [31]

Answer:

x = 4

Step-by-step explanation:

Given

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6x = 24 ( divide both sides by 6 )

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4 0
2 years ago
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Eva8 [605]

Answer:

0.5

Step-by-step explanation:

42 divided by 2/3 = 7

7 divided by 2/7 = 0.5

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Marysya12 [62]

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Step-by-step explanation:

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Natasha2012 [34]

Answer:

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Step-by-step explanation:

y <= -4x + 12

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