Answer:
23
Step-by-step explanation:
7 - 5p + 3q
p = 1, q = 7
Substitute in the values of "p" and "q", and solve;
7 - 5(1) + 3(7)
7 - 5 + 21
2 + 21
23
Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.
Answer:
Total weight of the nuts bought by Dan = 5.4 kg
Explanation:
Number of packets of nuts bought by Dan = 24
Weight of each packet of nuts = 225g
Total weight of the nuts bought by Dan = Number of packets of nuts bought by Dan * Weight of each packet of nuts
Total weight of the nuts bought by Dan = 24 * 225 = 5400 g = 5400/1000 kg = 5.4 kg
Total weight of the nuts bought by Dan = 5.4 kg
Answer:
Stephen's neighbors paid Stephen no more that $28.
Step-by-step explanation:
Given:
Stephen spent $5 of his earnings on snack.
He spent $17 in a new book.
He is left with no more than $6 left.
To describe how much Stephen's neighbors paid him.
Solution:
Let Stephen's earnings in dollars be = 
Amount left after spending on snacks in dollars = 
Amount left after spending on a new book in dollars = 
= 
The amount remaining is no more than $6.
Thus, the inequality representing the situation can be given as:
Solving for
Adding 22 both sides.
Thus, Stephen's neighbors paid Stephen no more that $28.
Answer:
I’m not sure what you mean by divided, but the square root of 24 would be between 4 and 5.
Explanation:
I translated 4 and 5 into square roots, being the square root of 16 (4^2) and the square root of 25 (5^2).
4 is equal to the square root of 16 just as 5 is equal to the square root of 25.
Of the given square roots in the answers, only the square root of 24 was between the square roots of 16 and 25. Therefore, the square root of 24 is between 4 and 5.
