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Dennis_Churaev [7]

3 years ago

8

there are 24 apple trees in my orchard. if i can harvest the fruit from 2 and 2 thirds trees each day, how many days will it tak

e to harvest the entire orchard?

1 answer:

valentina_108 [34]3 years ago

8 0

Answer: 9 days.

Step-by-step explanation:

2 2/3 is the amount able to be harvested, you want to find days. So, 2 2/3(d)=9. You need to solve for days (d) which equals 9.

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A physical therapist is scheduling appointment for the day. She has six workers comp cases six Medicare patients awaiting care.

Molodets [167]

Answer:

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

Step-by-step explanation:

Number of worker’s comp cases = 6

Number of Medicare patients = 6

Total number of people = 6 + 6 = 12

Total number of ways of selecting 7 people from 12 people = 12C7

Total number of ways of selecting 7 people from 12 people = $\frac{12!}{(12-7)!7!}$

Total number of ways of selecting 7 people from 12 people = 792 ways

Number of ways of selecting 3 worker's comp cases = 6C3

Number of ways of selecting 3 worker's comp cases = $\frac{6!}{(6-3)!3!}$

Number of ways of selecting 3 worker's comp cases = 20 ways

Number of ways of selecting 4 Medicare patients= 6C4

Number of ways of selecting 4 Medicare patients = $\frac{6!}{(6-4)!4!}$

Number of ways of selecting 4 Medicare patients = 15 ways

Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792

Pr(3worker's comp cases and 4 Medicare patients) = 300/792

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

4 0

3 years ago

How to solve this inequality: 3p - 6 > 21.

bearhunter [10]

First of all you do +6 to both sides which will get you now 3p > 27 then you do divide by 3 to get the p by itself, which will give you answer of p > 9, LETTER C

5 0

3 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

<h2>54m²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

<em>a, b</em><em> - legs</em>

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago

A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasi

salantis [7]

The answer is B 2%. I really hope this helps.

5 0

3 years ago

Read 2 more answers

Mr. Charles gave both of his sons, Joe and Bill, $5,000. Joe deposited the money in an account that offered simple interest of 1

Maksim231197 [3]

Answer:

Bill by $85

Step-by-step explanation:

Bill : Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the money given is then subtracted from the resulting value.

Compounded annually for 6 years at 9 % interest Bill would have $8385.50.

Joe : Simple interest at 11% a year The formula we'll use for this is the simple interest formula.

P is the principal amount, $5000.00.

r is the interest rate, 11% per year, or in decimal form, 11/100=0.11.

t is the time involved, 6year(s) time periods.

So, t is 6year time periods.

To find the simple interest, we multiply 5000 × 11 × 6 = 3300

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 5000.00 + 3300.00 = 8300.00

As you can see Bill has more by $85.

^Check yourself

5 0

3 years ago