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Crank
3 years ago
11

solve this problem by using a 5d process or writing and solving an equation. No matter which method you use, be sure to define y

our variable and write an equation to represent the relationship A rectangle has a perimeter of 30 inches. its length is one less than three times its width what are the length and wodyh of the rectangle?
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

width of the rectangle=x=4in and length of the rectangle=11in

Step-by-step explanation:

Let the width of the rectangle be x, then according to the question, length is one less than three times its width that is l=3x-1.

Now, width=b=x and length=l=3x-1, thus

Perimeter of the rectangle= 2(l+b)

⇒30=2(3x-1+x)

⇒15=(3x-1+x)

⇒15=4x-1

⇒16=4x

⇒x=4in

Thus, width of the rectangle=x=4in and length of the rectangle=l=3x-1=3(4)-1=12-1=11in.

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A small regional carrier accepted 23 reservations for a particular flight with 20 seats. 14 reservations went to regular custome
MrRissso [65]

Answer:

- The probability that overbooking occurs means that all 8 non-regular customers arrived for the flight. Each of them has a 56% probability of arriving and they arrive independently so we get that  

P(8 arrive) = (0.56)^8 = 0.00967

- Let's do part c before part b. For this, we want an exact booking, which means that exactly 7 of the 8 non-regular customers arrive for the flight. Suppose we align these 8 people in a row. Take the scenario that the 1st person didn't arrive and the remaining 7 did. That odds of that happening would be (1-.56)*(.56)^7.

Now take the scenario that the second person didn't arrive and the remaining 7 did. The odds would be  

(0.56)(1-0.56)(0.56)^6 = (1-.56)*(.56)^7. You can run through every scenario that way and see that each time the odds are the same. There are a total of 8 different scenarios since we can choose 1 person (the non-arriver) from 8 people in eight different ways (combination).  

So the overall probability of an exact booking would be [(1-.56)*(.56)^7] * 8 = 0.06079

- The probability that the flight has one or more empty seats is the same as the probability that the flight is NOT exactly booked NOR is it overbooked. Formally,  

P(at least 1 empty seat) = 1 - P(-1 or 0 empty seats)  

= 1 - P(overbooked) - P(exactly booked)

= 1 - 0.00967 - 0.06079  

= 0.9295.

Note that, the chance of being both overbooked and exactly booked is zero, so we don't have to worry about that.

Hope that helps!

Have a great day :P

7 0
3 years ago
Find the volume of a right rectangular prism with a length of 4 units, a width of 3 units, and a height of 5 units. A. 12 cubic
Aleksandr [31]

Answer: 60

Step-by-step explanation:

V = w h l = 3 x 5 x 4 = 60

Hope this helped, if not i can do the problem again :)!

3 0
3 years ago
Read 2 more answers
A pizza place has pizzas in 2 different sizes, with 8 different flavors for the crust, and 8 different toppings.
mamaluj [8]

Use multiplication:

2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}

This question is basically the same as the other question of yours that I answered, so the explanation is very similar:

You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.

5 0
2 years ago
How can you compare prices at two different stores by finding the constant of proportionality
dimaraw [331]

Answer:

The constant of proportionality gives you the price per unit at each store.

Step-by-step explanation:

If you assume that the price (y) is directly proportional to the amount (x) you get, the formula is

y = kx

where k is the constant of proportionality.

k = y/x

k has the units of cost per unit, for example, dollars per ounce.

The fewer the dollars per ounce, the better the deal you are getting.

If store A offers apple sauce at $1.29 for 25 oz and Store B offers apple sauce at $2.89 for 50 oz, which is the better deal?

At store A, k = $1.29/25 oz = $0.052/oz or 5.2¢/oz

At store B, k = $2.89/50 oz = $0.058/oz or 5.8¢/oz

The apple sauce is cheaper at Store A.

8 0
3 years ago
! EASY & CORRECT ANSWER GETS BRAINLIST!
baherus [9]

Answer:

11 = Y+5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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