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Radda [10]
3 years ago
6

Twenty percent of the trees in an orchard are apple trees, and 1/3 of the trees that are not apple trees are cherry trees. If 3/

4 of the trees in the orchard are fruit trees, and the only types of fruit trees in the orchard are apple, cherry, and plum, what fraction of the trees in the orchard are plum trees?
Mathematics
1 answer:
wariber [46]3 years ago
3 0

Answer:

The required fraction is 17/60

Step-by-step explanation:

Consider the provided information.

Let us assume that the number number if trees are 60.

It is given that 20% are apple tree.

\frac{20}{100}\times60=12

Therefore, 12 trees are apple tree.

That means non apple trees are:

Non apple trees = 60 - 12 = 48

It is given that and 1/3 of the trees that are not apple trees are cherry trees.

Cherry trees = 1/3 × 48 = 16

The cherry trees are 16.

3/4 of the trees in the orchard are fruit trees,

Fruit trees = 3/4 × 60 = 45

Total fruit tree are 45

Plum trees = 45 - 12 - 16 = 17

Hence, the number of plum trees are 17

We need to find fraction of the trees in the orchard are plum trees

Fraction = 17/60

Hence, the required fraction is 17/60

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Answer:

c. g(x) = 4x^2

Step-by-step explanation:

From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.

We can then look and see that g(1) = 4 as shown by the point given to us on the graph.

To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e

Option C:

once we plug in 1 for x, our equation looks like

4(1)^2.

1^2 = 1, and 4(1) = 4,

so g(1) = 4. and our point is (1,4).

This is the same as the graph so this is the CORRECT answer.

If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.

Option D:

once we plug in 1 for x, our equation looks like

16(1)^2

1^2 = 1, and 16(1) = 16,

so g(1) = 16. and our point is (1,16).

This is different than the graph so this is the WRONG answer.

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Thirteen more than three times a number is 25.
Sladkaya [172]

Answer:

x = 4

Step-by-step explanation:

Equation: 3x + 13 = 25

Step 1: Subtract 13 from both sides.

3x + 13 = 25

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Step 2: Divide both sides by 3.

<u>3x</u>   =  <u>12</u>

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QveST [7]

Answer: a<b

Step-by-step explanation:

Given statement: "a number <em>a</em> is always less than another number <em>b."</em>

<em />

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If <em>a</em> is less than <em>b </em>then it can represented as

<em>a < b</em>

The expressions expresses the relationship between <em>a</em> and <em>b</em> would be:

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