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timama
2 months ago
3

IF HJ = 7x-27, find the value of x​

Mathematics
1 answer:
lawyer [12.5K]2 months ago
4 0

Answer:

x= (1/7)hj + (27/7)

Step-by-step explanation:

1) Rearrange the equation:

7x-27=hj

2) Add 27 on both sides

7x = hj +27

3) Divide everything by 7

x = 1/7hj + (27/7)

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In a class of 30 students, 19 are studying French (F), 12 are studying Spanish (S) and 7 are studying both French and Spanish. H
lawyer [12517]

Answer: Fourteen students are not enrolled in any foreign languages.

Step-by-step explanation: Begin with the total student count and subtract the number enrolled in each language class. This yields 19 for French, 12 for Spanish, and 7 for those taking both. Summing these numbers gives 38. Next, repeat this process, subtracting each category from 30 to find how many students are not participating in either language. You would end up with 11 for French, 18 for Spanish, and 23 for both. Adding these values results in 52. Finally, subtract 38 from 52 to arrive at the final result of 14.

5 0
1 month ago
Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin
tester [12383]
1 2 3 Step-by-step explanation: Generally, during the roll of two fair 6-sided dice, the doubles result in (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6). Therefore, the total for doubles is N = 6. The outcome of rolling two fair 6-sided dice yields n = 36. Thus, the probability of rolling doubles (matching numbers on both dice) is calculated mathematically. When rolling two fair dice, outcomes that sum to 4 or less are (1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1). Observing this, we see two doubles present. Consequently, the conditional probability of rolling doubles is represented mathematically. Lastly, when rolling the two fair dice, outcomes that show different numbers result in L = 30, while outcomes where at least one die shows a 1 give W = 10. Hence, the conditional probability of having at least one die show a 1 is presented mathematically.
3 0
1 month ago
Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equ
Leona [12618]

Initial cost = 16000
depreciation rate = 35%
remaining value = 2000
depreciation over one year = 16000*35% = 5600
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7 0
2 months ago
Read 2 more answers
Scientists in the jungle want to find the best estimate for the lion population. They tagged and released 20 lions as part of a
Inessa [12570]

Answer:

They anticipate the following ratio:

x/20 = 160/8, where x represents the population

Next

x = 20×160/8 = 400

3 0
21 day ago
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a me
babunello [11817]

The last part of the question is asking;

What was the total amount spent by all (99.7%) students on textbooks in a semester?

Response:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Stepwise clarification:

The standard deviation rule informs that for normally distributed data, approximately 99.7% of observations fall within three standard deviations from the mean.

In this case, we have the given mean as 240, and standard deviation as 25

Thus, calculating three standard deviations below the mean: Mean - 3(standard deviation)

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Now, for three standard deviations above the mean: Mean + 3 (standard deviation) = 240 + (3 × 25)

equals 240 + 75 = 315

Therefore, nearly all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

7 0
21 day ago
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