LAST QUESTION ON MY TOPIC!!! PLEASEGoran drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Goran drove home, there was no traffic and the trip only took 8 hours. If his average rate was 20 miles per hour faster on the trip home, how far away does Goran live from the mountains?
Do not do any rounding.
Answers
Givens
Slower car
r = r
t = 12 hours
d = ?
Faster car
r = r + 20
t = 8 hours
d = ?
It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.
d = r * t
r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right
r*12 = 8r + 20*8
r*12 = 8*r + 160
r*12 - 8r = 8r - 8r + 160
4r = 160
r = 40 miles / hour
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Slower Ride determines the distance.
d = r*t
d = 40 * 12
d = 480
Check
Use the faster rate (r + 20) = 40 + 20 = 60 mph
60 * 8 = 480. Both distances work out to be the same.
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18
Step-by-step explanation:
18*5=90
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Step-by-step explanation:
Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]
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Therefore,
Second multiple of 4 is x + 4 = 144 + 4 = 148
Third multiple of 4 is x + 8 = 144 + 8 = 152
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I know it's not the mathematical way, but it's the same ratio, so just add the same amount of zeroes.
Final answer:
To find the number of part-time employees in California, set up a proportion and solve for x.
Explanation:
To find the number of part-time employees statewide, we can set up a proportion using the given information. We know that there are 25 full-time employees for every 4 part-time employees. So, we can write the proportion as:
25 full-time employees / 4 part-time employees = 250,000 full-time employees / x part-time employees
Cross-multiplying, we get:
25x = 4 * 250,000
Simplifying, we have:
25x = 1,000,000
Dividing both sides by 25, we find:
x = 40,000
Therefore, there are 40,000 part-time employees statewide in California.
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To express the repeating decimal 8.54545454545... as a rational number, we can use the concept of infinite geometric series. The rational number equivalent is 282/33.
To express the repeating decimal 8.54545454545… as a rational number, we can use the concept of infinite geometric series. Let x = 8.54545454545…, then multiplying x by 100 gives 100x = 854.54545454545…. Next, subtracting the original x equation from the 100x equation eliminates the repeating decimals, giving 99x = 846. Dividing both sides by 99 results in x = 846/99. Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, gives the final answer: x = 282/33.
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If you mean p/q, then this is how you do it:
Therefore your final answer is 94/11, where p is 94 and q is 11.
Answers
Answer: 9990
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Explanation:
Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9
- 9999/3 = 3333
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When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.
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Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)
So we go from 9999 to 9990
Repeat the last set of steps we did earlier
- 9990/3 = 3330
- 9990/6 = 1665
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Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.
Answers
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3 multiplied by a variable d and add seven to it
Step-by-step explanation:
3 multiplied by a variable d and add seven to it.