Answer:
The answer for the question "What is the constant of proportionality?" is 2.
The answer for the question "If Micah saves $150, How much money will his parents give him?" is $300.
Step-by-step explanation:
a. If for every $5, Micah will receive $10 more that means that he will receive the double of his initial saving. So, a number that multiplied by 5 is equal to 10 is 2. Therefore, the proportionality equation will be Y=2X, where Y is 10 and X is 5. In cunclusion, 2 is the constant of proportionality.
b. Having in mind that the equation is Y=2X, and that X is equal to Micah's savings, we need to replace that X with 150. Then, 150 is multiplied by 2 and the result is Y, in this case 300. So, Micah's parents will give him $300 if he saves $150.
D is the answer that i got
Answer:

Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be
since there are two factors and 6 possible options.
This means, logically, there is a
chance of not rolling a factor of 35.
Hope this helped!
Start with a deck of 52 cards. Draw 1 card. Probability of drawing a diamond first:

Now draw another single card from the deck, which now contains 51 cards. Probability of drawing a spade:

Draw 1 last card. The deck has 50 cards left, and 12 of these are diamonds. Probability of drawing a diamond:

So the probability of drawing a diamond, then a spade, then another diamond is
Answer:
the answer is.........................................E