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fredd [130]
2 years ago
12

A bakery made 47 muffins that contained nuts and 3 muffins that did not contain nuts. What is the ratio of the number of muffins

with nuts to the total number of muffins?
Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

Step-by-step explanation:

47= 3/44, so ratio is 3/44 for non-nuts muffins

Which mean, for every 44 muffins we would have 3 non-nuts muffins.

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A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0
3 years ago
A worker is installing blue and white square tiles in a kitchen. Blue tiles have different lengths than white tiles. A row of 8
ipn [44]

Answer:

8x + 16y = 39 and

40x + 8y = 42

Step-by-step explanation:

Let the length of the blue tiles is b inches and that of the white tiles is w inches.

So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.

Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as

8x + 16y = 39 and

40x + 8y = 42 (Answer)

4 0
3 years ago
There are nine men and ten women in a club; in how many ways can a committee of four be formed?
DochEvi [55]
There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.

Permutations: \frac{n!}{(n-r)!}
Combinations: \frac{n!}{r!(n-r)!}
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.

19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is 93024, if not, then your answer is 3876.

:)
8 0
3 years ago
If, in 7 years, Susan will be 2 times as old as she was 3 years ago, what is Susan’s present age? PLEAZE EXPLAIN HOW AND DO IT W
belka [17]
Let Susan's present age be x

Now, after 7 years ( her age will become 7 +x then) she'll be 2 as old she was 3 years ago.

Her age 3 years ago must be x-3

Now according to question,

twice Her age 3 years ago = her age after 7 years

now,

2(x-3) = 7+x
2x-6 = 7+x
2x-x =7+6
x = 13
x = 13



Therefore, her age presenr age is 13 years.
5 0
3 years ago
Read 2 more answers
Solve the equation. Then check your solution.
ra1l [238]

Answer:

I think so b is the option

7 0
3 years ago
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