there are four toppings available for a pizza. how many flavor combinations are there for a pizza with two different toppings?

Answers

Answer 1

Answer: There are 6 different combinations available if you were to have 2 diff toppings each time

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Simplify fully
a) 8c²d^5 ÷ 2c³d³
b) 9a³b^5 ÷ 3ab²

Answers

Answer:

Step-by-step explanation:

In exponent division, if base are same , subtract the exponents.

$(a^(m))/(a^(n))=a^(m-n) , m>n\n\n (a^(m))/(a^(n))= (1)/(a^(n-m)), m<n$

a) 8c²d⁵ ÷ 2c³d³ = $(8)/(2)* (d^(5-3))/(c^(3-2))= 4*(d^(2))/(c)= (4d^(2))/(c)$

b) 9a³b⁵ ÷ 3ab² = $(9)/(3)* a^(3-1)*b^(5-2) = 3a^(2)b^(3)$

Answer:

A) 8d^2/3c

B) 3a^2b^3

Step-by-step explanation:

The cafeteria chef for a company wants to know about how many of the employees are vegetarians. Which sampling method will result in a sample that is NOT biased? a) He questions every employee in the advertising department who is exiting a meeting.
b) He obtains a list of employee names and numbers and calls every fifth person on the list.
c) He puts notices in the break rooms asking employees to e-mail him if they are a vegetarian. d) He asks every other employee he sees in the cafeteria for breakfast about food preferences...
d) He asks every other employee he sees in the cafeteria for breakfast about food preferences...

Answers

C. He puts a notice in the break rooms asking if they are vegetarian

How much interest will you get on $800 investment for 1 year at 6.45% ?

Answers

800 * ( 6.45 / 100 ) = 8 * 6.45 = 51.6$ ;

Subtract. Write your answer in simplest form.

5 2/6 - 2 3/6=____

Answers

$2 (5)/(6)$

Working;
Start by converting both terms into improper fractions;

$(32)/(6)$ - $(15)/(6)$

This gives;
$(17)/(6)$

On simplifying;
2 $(5)/(6)$

5 2/6 = 32/6
2 3/6 = 15/6

32/6 – 15/6 = 17/6 = 2 5/6

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. * 10 points \