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ale4655 [162]
2 years ago
7

Five days a week, you carpool with 3 co-workers and take turns driving each week. It is 14 miles from your home to your office.

When you drive the carpool you must go an extra 4 miles to pick up your co-workers. If your car averages 18 miles per gallon, about how many gallons of gas should you save every 4 weeks by carpooling?
Mathematics
2 answers:
rusak2 [61]2 years ago
8 0

Answer:

I will save 21.11 gallons in 4 weeks of car pooling.

Step-by-step explanation:

If i have to go office alone then in 4 weeks i will be driving my car = 2×distance from office to home×number of days = 2×14×(4×5) = 28×20 = 560 km.

Now when i carpool with 3 co-workers then i have to drive my car only for 1 week out of 4 weeks.

Means i will be driving total distance = 2× ( distance form office to home + addition distance to pickup co-workers) × number of days

= 2 × (14+4) × 5= 180 km

Now the distance I drove less in 4 weeks = 560 - 180 = 380 km

My car averages 18 miles per gallon gas.

Therefore amount of gas I saved in 4 weeks = 380/18 = 21.11 gallons

elena55 [62]2 years ago
4 0
She saves 8.8888888 gallons of gas every week by carpooling.
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Murrr4er [49]

Answer-  A,D,E

Step-by-step explanation:

A two column table with 5 rows. The first column, x, has the entries, negative 2, 0, 2, 4. The second column, y, has the entries, 6, 3.5, 1, negative 1.5.

Which equations represent the data in the table? Check all that apply.

y – 6 = y minus 6 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)

y – 2 = –y minus 2 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 1 right-parenthesis.(x – 1)

y + 2 = y plus 2 equals StartFraction negative 5 Over 4 EndFraction left-parenthesis x minus 6 right-parenthesis.(x – 6)

y – 1 = –y minus 1 equals negative StartFraction 5 Over 4 EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)

y – 3.5 = –1.25x

Im just rephrasing the question

5 0
2 years ago
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Luke says you can always add and always multiply to join groups. Is he correct?
dezoksy [38]
Yes, because only equal groups can be multiplied

5 0
2 years ago
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Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores o
otez555 [7]

Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So X = 52, \mu = 70, \sigma = 11

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 70}{11}

Z = -1.64

Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So X = 52, \mu = 64, \sigma = 6

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 64}{6}

Z = -2

Due to the higher z-score, David has the higher standardized score

3 0
2 years ago
What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?
IRINA_888 [86]

Answer:

3\sqrt{2}

Step-by-step explanation:

For the complex number a+bi, the absolute value is \sqrt{a^2+b^2}

Given the complex number -4-\sqrt{2}i. For this complex number,

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then the absolute value is

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6 0
2 years ago
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Svetllana [295]

Answer:

226 points were lost per player

Step-by-step explanation:

Since we are evenly spreading the points between all 26 players, we need to solve using division.

Basically, we are dividing the 5876 points among the 26 players.

5876/26 = 226

Therefore, if the points were spread evenly among all 26 players, each player would lose 226 points.

6 0
2 years ago
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