Answer:
X=4, -2
Step-by-step explanation:
Check attachment
Answer:
D 21
Step-by-step explanation: x/7 = 3
isolate x by multiplyig both sides by 7: (7)(x/7) = (3)(7)
x = 21
<h3>
Answer: 12 & 2/3 km per hour</h3>
In decimal form, this is approximately 12.667 km per hour.
As an improper fraction, 12 & 2/3 = 38/3
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Explanation:
Let's use this formula
a & b/c = (a*c+b)/c
to convert the given mixed number to an improper fraction.
3 & 1/6 = (3*6+1)/6
3 & 1/6 = 19/6
The mixed number 3 & 1/6 is the same as the improper fraction 19/6
The hamster runs 19/6 km in 1/4 of an hour.
We can express that as the ratio
19/6 km : 1/4 hr
Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"
19/6 km : 1/4 hr
4*19/6 km : 4*1/4 hr
76/6 km : 1 hr
38/3 km : 1 hr
Harvey runs 38/3 km in 1 hour
Let's convert that to a mixed number
38/3 leads to a decimal, but 36/3 leads to a whole number
So,
38/3 = (36+2)/3
38/3 = 36/3 + 2/3
38/3 = 12 + 2/3
38/3 = 12 & 2/3
You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.
Answer:
80/111
Step-by-step explanation:
For starters, since it is 3 digits inclusive of 0, from 0 - 9, then there are 1000 possible total plate combination from 000 - 999.
If no number is expected to be repeated in the combination, then there exists 10 numbers(say 0-9) for the first digit, 9 numbers(say 1-9) for the second digit and 8 numbers(1-8) for the third digit.
This means that there will be 10 * 9 * 8 total possible outcomes. Considering that the possible combinations is 999, then the probability is
10 * 9 * 8 = 720/999
And that is simplified to 80/111
