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gizmo_the_mogwai [7]
3 years ago
5

Alexandra purchases two donuts and three cookies at the donut shop and it's charged $3.30. Brianna purchases five donuts and two

cookies at the same shop for $4.95. All the donuts have the same price and all the cookies have the same price. What is the cost in dollars of each donut?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

2x+3y=3.30          ...(i)

Cost of five donuts and two cookies = $4.95

5x+2y=4.95          ...(ii)

Multiply equation (i) by 2.

4x+6y=6.60          ...(iii)

Multiply equation (ii) by 3.

15x+6y=14.85      ...(iv)

Subtracting (iii) from (iv), we get

15x+6y-4x-6y=14.85-6.60

11x=8.25

Divide both sides by 11.

x=\dfrac{8.25}{11}

x=0.75

Therefore, the cost of each donut is $0.75.

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Read 2 more answers
J5.
igomit [66]

The probability is P = 0.004, so the correct option is D.

<h3 /><h3>How to find the probability?</h3>

We want to find the probability that 4 students lie on these 30% subgroup.

We know that there are 30 students, the 30% of 30 is:

x = (30%/100%)*30 = 9

So 9 out of 30 students prefer the tests to be on Mondays.

The probability that the first randomly selected kid wants the test to be on Monday is:

p= 9/30

For the next kid, the probability is:

p'= 8/29 (because one kid was already selected).

For the next one:

p'' =7/28

For the final one:

p''' =6/27

The joint probability is the product of these 4:

P = (9/30)*(8/29)*(7/28)*(6/27) = 0.004

So the correct option is D.

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

7 0
2 years ago
The area of a rectangle is 42 square inches and one side is 12 inches long find the perimeter of the rectangle show your work
uranmaximum [27]
So first of all we need to know that area is length times width
Area = L x W 
since we know the area is 42 and the length is 12 lets plug those in
42 = 12 x W 
now we dont know what W is yet but we can figure it out by dividing 42 by 12
42/12 = 3.5 
So W = 3.5!
but its asking for the perimeter and we know that perimeter is all of the sides of the rectangle added up. Heres a picture
   
       ___3.5___
      |                 |
      |                 |
 12 |                 |  12 
      |                 |
      ************
             3.5

see now we just add those all up together:)

12 + 12 + 3.5 + 3.5 = 31!!
so our perimeter is 31 inches:)
have a good one 
PICK ME BRAINLIEST!:D
5 0
3 years ago
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