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Rom4ik [11]
2 years ago
7

A literary magazine editor must choose 4 short stories for this month's issue from 17 submissions. in how many ways can the edit

or choose this month's stories?
Mathematics
1 answer:
Sauron [17]2 years ago
5 0
The item above is answered through the concept of Combination since the arrangement of how the magazines are to be chosen from the total number of magazines given is not a factor. The mathematical expression for this combination is,

   n = 17C4

or "combination of 17 taken 4. 

    n = (17!) / (4!)(17-4)!

    n = 2380


<em>Answer: 2,380</em>
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Bill's new porch is rectangular, with an area of 50 square feet. If the length of the porch is two times the width, what is the
Gwar [14]
1. The formula for the area of a rectangle is:

 A=LxW

 L: The lenght of the rectangle (L=2W).
 W: The width of the rectangle.

 2. Let's substitute L=2W into the formula A=LxW:

 A=LxW
 A=2WxW
 A=2W²

 3. When we clear "W", we obtain:

 W²=A/2
 W=√(A/2)

 4. We already know the value of "A", so:

 W=√(50 ft²/2)
 W=√(25 ft²)
 W=5 ft

 5. Now, we must substitute the value of "W", into L=2W:

 L=2W
 L=2(5 ft)
 L=10 ft

 6. The perimeter of a rectangle is:

 P=2L+2W

 7. We know the value of "L" and "W", therefore:

 P=(2x10 ft)+(2x5 ft)
 P=20 ft+10 ft
 P=30 ft

 W<span>hat is the perimeter of the porch? 
</span>
 The answer is: 30 ft
4 0
2 years ago
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch
slavikrds [6]

Answer:  50x+250=75x+100

Step-by-step explanation:

Given: A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo.

Let x be the number of hours , then the total cost to create the logo plus is given by :-

C(x)=250+50x

A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

The total cost to develop logo plus is given by :-

c(x)=100+75x

The equation to represent the costs would be the same is given by :_

C(x)=c(x)\\\Rightarrow50x+250=75x+100

4 0
2 years ago
Read 2 more answers
What is the volume of a sphere with a radius of 7 cm? Sphere V = 4 3 πr3 1. Substitute the radius into the formula:    V = 4 3 π
netineya [11]

Answer:

1436.75504 or 1372/3π cm^3

Step-by-step explanation:

The volume of a sphere can be found using:

V = 4/3 πr^3

We know the radius is 7, so we can substitute 7 in for r

V = 4/3 π7^3

Evaluate the exponent

V = 4/3 π 343

If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.

v= (4/3*343)π

v=1372/3π

If we want an exact answer, multiply 1372/3 and pi

v=1436.75504

So, the volume is 1436.75504 or 1372/3 π cm^3

4 0
2 years ago
Read 2 more answers
Kirsten invested $1800 in an account paying 2% simple interest. What was her account balance after 5 years?
Maurinko [17]

Answer:

$1,980

Step-by-step explanation:

We can use the simple interest formula for this:

A = P (1 + rt)

<em>P = initial balance</em>

<em>r = annual interest rate</em>

<em>t = time</em>

<em />

First, change 2% into its decimal form:

2% -> \frac{2}{100} -> 0.02

Now, lets plug the values into the equation:

A=1,800(1+(0.02)(5))

A=1,980

The account balance after 5 years is $1,980

6 0
2 years ago
How many sets of three integers between 1 and 20 are possible if no two consecutive integers are to be in a set?
Dmitry_Shevchenko [17]
<span>I'm pretty sure that the solution looks like this </span>(20-3)!(20-4)!(20-5)!...(20-19)!. But Also you can use this formula (r-k+1 C r). You will get 18C3.
8 0
2 years ago
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