1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Brian scored 1/10 of the points for his basketball team in the state championship game. Joe scored 1/4 of the points. Together t
irga5000 [103]
Lets get common fractions between 1/10 and 1/4, so we now have the fractions 2/20 and 5/20. After we add them we have 7/20. If 35% (7/20) of the points scored is 21, then total points scored is 60. (21 / .35)
6 0
3 years ago
Read 2 more answers
What are the solutions of the equation x^4-9x^2+8=0? Use u substitution to solve
krok68 [10]
Exact Form:
x
=
2
√
2
,
−
2
√
2
,
−
1
,
1
x
=
2
2
,
-
2
2
,
-
1
,
1
Decimal Form:
x
=
2.82842712
…
,
−
2.82842712
…
,
−
1
,
1
7 0
3 years ago
Read 2 more answers
Identify the graph that has a vertex of (1,-1) and a leading coefficient of a=2.
soldi70 [24.7K]

<u>ANSWER</u>

f(x) = 2 ({x  - 1)}^{2} - 1

<u>EXPLANATION</u>

The vertex form of a parabola has equation:

f(x) = a ({x  - h)}^{2}  + k

where V(h,k) is the vertex of the parabola and 'a' is the leading coefficient.

From the question, we have that, the vertex is

(1,-1)

and the leading coefficient is

a= 2

We substitute the vertex and the leading coefficient into the vertex form to get:

f(x) = 2 ({x  - 1)}^{2}  +  - 1

We simplify to get:

f(x) = 2 ({x  - 1)}^{2} - 1

The graph of this function is shown in the attachment.

6 0
3 years ago
Select the most precise and correct statement about perpendicular lines from among those that are given.
san4es73 [151]

The most precise and correct statement about perpendicular lines from among those that are given is; A: AB is perpendicular to CD if the two line intersect such that ∠AOD is a right angle triangle.

<h3>How to Interpret Perpendicular Lines?</h3>

In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Now, from the given image, we are told that lines AB and CD Intersect at point O. Looking at the options;

A) This option is true because if the intersect at right angles, then according to the definition  above, they are perpendicular.

B) This option is incorrect because if they never meet, then they can never intersect.

C) This option is incorrect because the equality has to be at 90 degrees.

Read more about Perpendicular Lines at; brainly.com/question/1202004

#SPJ1

8 0
2 years ago
Helpppppppppp it’s IXL
jarptica [38.1K]

Answer:

<h2>z^-75</h2>

Step-by-step explanation:

z^0\times z^{-75}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \:a^b\cdot \:a^c=a^{b+c}\\\\z^0z^{-75}=z^{0-75}\\\\=z^{-75}

3 0
3 years ago
Read 2 more answers
Other questions:
  • The period of function f(x) = sec(x/4) is
    11·1 answer
  • In the early months of some​ year, one site added 0.5 million new accounts every day. At this​ rate, how many days would be need
    9·2 answers
  • Sheila buys some boxes of pens, with 20 pens in each box. Which expression represents the total number of pens Sheila bought? 20
    13·1 answer
  • Add 3 5/12 + 2 5/9 . Simplify the answer and write as a mixed number.
    13·1 answer
  • If c is a 5 x 1 matrix and dis a 3 x 5 matrix, what are the dimensions of dc
    13·1 answer
  • Hi guys, I really need your help for this simple maths question.
    11·1 answer
  • What did the pyramids show about the old kingdom dynasties of egypt?
    8·1 answer
  • Lyla and Gio are packing boxes for a food drive. Lyla packs 20.5 boxes per hour. After 2 hours, Gio has packed 10.3 more boxes t
    14·1 answer
  • Hi can anyone help me? :)
    7·1 answer
  • Find and interpret the mean absolute deviation of the data. $4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3$4.6,8.5,7.2,6.6,5.1,6.2,8.1,10.3​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!