The answer is d + 0.25(d - 22) = 10.75
d - the amount of dollar coins
q - the amount of quarters
It is given: d + q = 22
The quarter is $0.25, therefore:
d + 0.25q = 10.75
Now, we have the system of equations:
d + q = 22
d + 0.25q = 10.75
According to the first equation:
d + q = 22 <span>⇒ q = 22 - d</span>
We will replace q in the second equation:
d + 0.25q = 10.75 ⇒ d + 0.25(22 - d) = 10.75
Answer:
11. 432,500 12. KF & ND
Step-by-step explanation:
11.
80,000 + 75,000 + 105,000 + 82,500 + 90, 000 = 432,500 people
( it says "about" so it doesn't have to be exact but a reasonable guess)
12. The two stadiums most similar in attendance is Kyle Field and Notre Dame
The correct answer is C. 49.
Remember that there are 100 students divided into 7-12 and 13-18 age group. So there should be 50 for each. The table should go like this:
7-12 age group
23 adventure or biography
27 - detective
so you just have to subtract 50 from 23, which makes it 27. The remaining belongs to the 13-18 age group.
13-18 age group
1 - detective
49 - adventure or biography.
It can't be divided by 5 or 10 since when you count by 10's the numbers end in only zeros and when you count by 5 it is either 5 or 0 (5, 10, 15, 20 and so on).
9 will only work if the digits in the answer add up to 9. 18: 1+8=9
99: 9+9=18 and 1+8=9 So it can't be divided by 9 102: 1+0+2=3 (not 9)
That leaves 6 and six works - here's why.
There is a rule for 3's that says that the sum of the digit must add up to 3, 6 or 9.
Look:
3x1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12 and 1+2=3
3 x 5 = 15 and 1+ 5 = 6
3 x 6 = 18 and 1+ 8 = 9
3 x 7 = 21 and 2 +1 = 3 and so on - do you see the 3,6,9 pattern repeating.
Six follows the same rule except the number must be even. Look above to see that 6 works with 6, 12 and 18 but not the others.
So 102 is divisible by 3 (1+0+2 = 3) AND it is an even number - therefore it is divisible by 6. Here's proof: 6 x 15 = 90 and 102 is 12 more than 90 and six goes into that 12)
I hope that this will help you feel better. I don't want you to cry. :-)
If one number is 8/15, you take the difference which 7/15.
