Answer:
Jake scored more on the spelling quiz. 80% is more than 68% so therefore he scored more on the quiz. To find 80% and 68%, you can use a percent of proportion or divide and multiply by 100.
Step-by-step explanation:
To find the percent of a score, you divide.
17/25 (division) = 0.68
0.68 is a decimal so to make it a percent you multiply by 100 = 68%
Or you can do it with fractions:
17/25 = ?/100: 68
16/20 = 0.8
Again, 0.8 times 100 = 80%
Or you can do it with fractions:
16/20 = ?/100: 80
He scored more on the spelling quiz, I hope this helps (justification on the answer).
Answer:
Your solution is (-10, 6).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-5x + y = 56
x + y = -4
Let's change the second equation into one with one variable on each side.
y = -x - 4
Now, plug this into your first equation.
-5x + (-x - 4) = 56
Distribute the + sign.
-5x - x - 4 = 56
Combine the like terms.
-6x - 4 = 56
-6x = 60
Isolate x by dividing both sides by -6.
x = -10
Now plug this back into either equation.
-10 + y = -4
Add 10 to both sides to find y.
y = 6
Your solution is (-10, 6).
Check this by plugging in these values into the equation you have not checked yet.
-5(-10) + (6) = 56
50 + 6 = 56
56 = 56
Your solution is correct.
Hope this helps!
Solution:
We have to find the remainder when f(x) is divided by 
x²-1=0
x=
So, remainder is 13 and -13.
Answer: False, there are actually 900 different three-digit numbers
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Explanation:
The three digit numbers span from 100 to 999, including both endpoints.
This means we have 999-100+1 = 900 different three-digit numbers.
You subtract the endpoints (large-small) and add 1 to include the lower endpoint.
Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.
Answer:
Step-by-step explanation:
