Answer:
Just units
Step-by-step explanation:
Looking for perimeter, not area and volume
A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.
There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.
The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.
However, if the question were to say "and," we would multiply the two probabilities.
Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).


Now we can add them together.

This cannot be simplified further, so the probability is 17 in 52, or 33%.
hope this helps!
Answer:
Step-by-step explanation:
The student currently has $50 and plans to save $15 every month.
Let x represent the number of months that the student will save enough money to buy the microscope.
Let y represent the amount that the student saves after x months.
The function that represents the amount y (in dollars) of money that the student saves after x months will be
y = 50 + 15x
The 50 remains constant because she has already saved it
The total number of beads that Lexi could accommodate based
on the on hand items is 101 beads. Subtract the number of beads she needs which
is 144 beads with 101 beads. The amount of beads that would need a box is 43
beads. Since a medium box could only accommodate 10 beads at a time, divide 43
with 10 and the answer would be 4 remainder 3. Thus Lexi would only need 4
medium boxes.
The associative law states that it doesn't matter how we group numbers when we add and/or multiply. So we could rearrange the brackets and parentheses to get the equivalent equation:
9m(6+n)
Both equations total:
54m+9mn
(I applied the distributive property to solve it).