Answer:
6
Step-by-step explanation:
Let n represent the quotient of the number.
We have been given that when the positive integer x is divided by 9, the remainder is 5. We can represent this information in an equation as:
When 3x is divided by 9:
Now, we need to break 15 into two numbers as:
Now, we will factor out 9 as:
Therefore, the remainder will be 6.
Answer:
Step-by-step explanation:
Total number of cards in a standard deck = 52
Number of hearts in the deck = 13
Number of clubs in the deck = 13
Number of diamonds in the deck = 13
Number of spades in the deck = 13
Four cards are drawn at random by Timothy.
These four cards are drawn from each one of the suits.
And the cards are not replaced.
Therefore, now cards remaining in each suit:
Remaining number of hearts in the deck = 12
Remaining number of clubs in the deck = 12
Remaining number of diamonds in the deck = 12
Remaining number of spades in the deck = 12
Formula for probability of an event E can be observed as:
Here, number of favorable cases are 12 (i.e. number of hearts)
Total number of cases = 12 4 = 48
Therefore, the required probability is:
Answer:
a. 1200 f. 900
b. 600 g. 5700
c. 900 h. 4800
d. 300 i. 8300
e. 800 j. 8500
Step-by-step explanation:
First of all, you need to compute the sums. I find a calculator handy for this.
To round to hundreds, you can examine the digit in the next place to the right of the hundreds place. That digit in the tens place needs to be compared to 5. If it is 5 or greater, add 1 to the digit in the hundreds place. After you have done that, set the digits to the right of the hundreds place to zero.
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Alternatively, you can add 1/2 of 100 to the sum, then set the digits to the right of the 100s place to zero. (Adding 50 will only change the 100's place digit if the 10's place digit is 5 or more.) This method doesn't require you do any thinking about the size of the digit; it is purely mechanical.
The sums and their rounded values are ...
a. 1221 ⇒ 1200
b. 568 ⇒ 600
c. 931 ⇒ 900
d. 347 ⇒ 300
e. 798 ⇒ 800
f. 911 ⇒ 900
g. 5681 ⇒ 5700
h. 4766 ⇒ 4800
i. 8328 ⇒ 8300
j. 8507 ⇒ 8500
