Answer:
the ratio in lowest terms is: 7 knives to 8 spoons = 7/8
Step-by-step explanation:
First express the ratio 105 knives to 120 spoons as the quotient:

next write each of the numbers in prime-factor form:
105 = 3 x 5 x 7
120 = 2 x 2 x 2 x 3 x 5
Now notice that when we express the quotient sing the factor form of the numbers, the factor 3, and 5 can be cancelled out because they appear in numerator an in denominator at the same time. therefore our quotient becomes:

Therefore the ratio in lowest terms is: 7 knives to 8 spoons
Answer:
312.5
Step-by-step explanation:
i did it on usatestprep and it is a
Answer:
Step-by-step explanation:
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor
of 3, what is the equation of the new function?
A. g(x) = 1/3x2
B. g(x) = 3x2
C. g(x) = (3x)2
D. g(x) = (1/3x)2
Answer:
The probability of picking a black card at random, from a deck with 3 black cards and 7 red ones is 0.3.
Step-by-step explanation:
We will assume that we have 3 black cards and 7 black cards, for a total of 10 cards. Since we are taking one card at random, we can assume that each card is equally likely to be drawn. We have the following event A: The drawn card is a black. We will find the probability of A as counting the number of outcomes that make A to occur and divide it by the total number of possibilities. We are drawing one card, so we have 10 possibilities to be picked. Out of those 10, only 3 cards are black, hence we have 3 possibilites of picking a black card.
Then,
P(A) = 3/10 = 0.3.
Answer:
26/52 50%
Step-by-step explanation:
52 cards in a deck, 26 are black and 26 are white.