first one is the correct answer
proportional relationship between x and y = 2: 1
Answer:
The answer to number 1 is A.
Step-by-step explanation:
To find this answer, I made 1 1/3 into one big fraction. I multiplied the denominator by the whole number (3x1) and then added that product to the numerator. (3+1). The new fraction is now 4/3 (you keep the denominator the same). The next step is to multiply 4/3 by 3/8. When multiplying fractions, you multiply straight across (the numerator by the numerator, and the denominator by the denominator). Your answer is now 12/24. The final step is to simplify the answer. Since 12 is half of 24, the answer is 1/2.
Step-by-step explanation:
Following the order of operations we would first divide -30 by 5 which would give us -6
-6 + (-30) ÷ 5 - (-2)
From here we can add -6 + -6 = -12
-6 + (-6) - (-2)
When subtracting a negative number, the two negatives changes it to a positive. (-12) - (-2) = (-12) + 2 which would give us -10
(-12) - (-2) = -10
~Hope this helps!~
Answer:
C. 75
Step-by-step explanation:
First, list the multiples of each numbers and stop when you reach the least common multiple (the smallest number the numbers can multiply up to):
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75 . . .
25: 25, 50, 75 . . .
15: 15, 30, 45, 60, 75 . . .
5 times 15 is 75, 25 times 3 is 75, and 15 times 5 is 75. Their LCM is 75.
Answer:
100/729
Step-by-step explanation:
The basket contains 9 fruits: 4 apples and 5 peaches. Thus the probability of choosing one fruit can easily be determined.
P(Apple is selected) = number of apples / number of fruits= 4/9.
P(Peach is selected) = number of peaches / number of fruits= 5/9.
If the replacement is allowed, then the probabilities will remain unchanged for all the fruits. Therefore, the probability of selecting an apple in the any attempt is 4/9 and the probability of selecting a peach in any attempt is 5/9. Assuming that the selection of the fruits is independent, we can safely multiply the probabilities. Therefore, 4/9 * 5/9 * 5/9 = 100/729.
Therefore, the correct answer is 100/729!!!
