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Karo-lina-s [1.5K]
3 years ago
12

Karen bought cupcakes for her sister's birthday party. 3 cupcakes had sprinkles on top. The other 27 cupcakes did not have sprin

kles. What percentage of the cupcakes had sprinkles?
Mathematics
1 answer:
Setler [38]3 years ago
6 0

Answer:

10%

Step-by-step explanation:

so

3 cupcakes had sprinkles

27 didn't have sprinkles

which means that there are a total of 30 cupcakes, (because 3 + 27 is 30)

so then set up a proportion

part/whole = percent/one hundred

substitute in the given values

3 / 30= precent/100

simplify

1/10 = precent/100

you don't have to use cross products here because it is pretty obvious that 10 * 10 = 100 so then just multiply 1/10 by 10 and you get your answer

percent = 10

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What is the LCD of 1/4a and 5/6a
inessss [21]
1/(4a) & 5/(6a)
(3)(1/4a)=3/12a
(2)(5/6a)=10/12a
LCD=12a
7 0
3 years ago
Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp
Maslowich

If p(3-2i)=0, then complex number 3-2i is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated 3+2i is also a root of polynomial.

Then the polynomial will be of a form

p(x)=(x-(3-2i))(x-(3+2i))(x-a).

Since p(0)=-52, then

-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.

Therefore,

p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.

3 0
3 years ago
A number cube is rolled what is the probability that the result is a number greater than five?
ki77a [65]

Answer:

The answer is 1/3

Step-by-step explanation:

Let the events of getting the no. greater than 4 be (>4).

Then,

<em>n</em><em>(</em><em>s</em><em>)</em><em> </em><em>=</em><em> </em><em>6</em>

<em>n</em><em>(</em><em>></em><em>4</em><em>)</em><em> </em><em>=</em><em> </em><em>2</em>

<em>P</em><em>(</em><em>></em><em>4</em><em>)</em><em> </em><em>=</em><em> </em><em>n</em><em>(</em><em>></em><em>4</em><em>)</em><em>/</em><em>n</em><em>(</em><em>s</em><em>)</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>2</em><em>/</em><em>6</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>/</em><em>3</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>

6 0
2 years ago
A beautician sees clients each day to paint full sets of nails. The function g(x) represents the number of finger nails painted,
lions [1.4K]

Yes, the input and output are both possible.

Reason~

Given that the possible solution is (20,20),

<u>Input</u> = x = 20

<u>Output</u> = x = 20

Thus, g(20) = 20, which is clearly possible.

<em>Hope this helps :)</em>

7 0
2 years ago
Read 2 more answers
A doughnut shop sells 30 kinds of doughnuts. in how many ways can you (a) get a bag of 12 doughnuts?
Norma-Jean [14]

Answer:

there are 86493225 possible ways you can get a bag of 12 doughnuts

Step-by-step explanation:

since we do not care about the order of the donuts in the bag ,we will need to calculate the number of possible combinations for 30 different elements in a group of 12 , then:

Number of combinations=C= n! /[(n-r)!*r!]

where n= number of elements , r= group size

replacing values

C= n! /[(n-r)!*r!] = 30!/[(30-12)!*12!] = 86493225 possible combinations

6 0
3 years ago
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