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choli [55]
3 years ago
14

A pizza place offers 5 different cheeses and 10 different toppings. In how many ways can a pizza be made with 2 cheese and 4 top

pings?
Mathematics
1 answer:
hjlf3 years ago
6 0

The order doesn't matter.

k objects can be chosen out of n objects, when the order doesn't matter, in C(n,k)=\dfrac{n!}{k!(n-k)!} ways.

So, the answer is C(5,2)\cdot C(10,4)=\dfrac{5!}{2!3!}\cdot\dfrac{10!}{4!6!}=\dfrac{4\cdot5}{2}\cdot\dfrac{7\cdot8\cdot9\cdot10}{2\cdot3\cdot4}=2,100 ways.

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Please help me need to revise for a testtt!!!!
LUCKY_DIMON [66]
Remember you can add like terms exg, 3y+4y=7y 3y^2+4y^2=7y^2, but cannot add 3y^2 and 4y, or 3 and 4y so

3a+2w-5a-9w
group like trems
3a-5a+2w-9w
subtract
-2a-7w


3y^2+2w^2-y^2-w^2
group like terms (think of w^2 and y^2 as 1w^2 and 1y^2)
3y^2-y^2+2w^2-w^2
subtract
2y^2+w^2

2x+2x=4x
3 0
3 years ago
Read 2 more answers
Find the simple interest paid to the nearest cent for each loan, interest rate, and time. $500, 12%, 18 months
iris [78.8K]

Answer: The interest is $60


Step-by-step explanation:

500*112%=$560

560/18=$31.11

$60 in interest is paid, or an additional $3.33 a month (Bringing the monthly loan payment to a grand total of $31.11)

4 0
3 years ago
Read 2 more answers
Name a pair of whole number factors whose product is 8
hjlf
"Factors" just means numbers in the context of multiplication - so we just need to name a pair of numbers that, when multiplied, give 8.

Those would be: 1 and 8

2 and 4

so there are two solution to this question: 1 and 8, 2 and 4!

we can also include negative numbers:

-1 and -8
-2 and -4

because a multiplication of two negative numbers gives a positive result!
8 0
4 years ago
Write an equation.
schepotkina [342]

Given:

y is proportional to x.

y=10 and x=8.

To find:

The constant of proportionality and the equation for the proportional relationship.

Solution:

y is proportional to x.

y\propto x

y=kx               ...(i)

Where, k is the constant of proportionality.

Putting y=10 and x=8, we get

10=k(8)

\dfrac{10}{8}=k

\dfrac{5}{4}=k

Putting k=\dfrac{5}{4} in (i), we get

y=\dfrac{5}{4}x

Therefore, the contestant of proportionality is k=\dfrac{5}{4} and the equation for the proportional relationship is  y=\dfrac{5}{4}x.

5 0
3 years ago
Which statement best describes the polynomial 2x+8?
AleksandrR [38]
A
It is a first degree polynomial (aka linear because its highest power is 1) and it has two terms (2x and 8)
It does not have eight terms and is not a monomial (one term ie 3x^2)
8 0
4 years ago
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