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Rufina
14 days ago
14

Which of the following systems of nonlinear inequalities is graphed below?

Mathematics
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A neighborhood is trying to set up school carpools, but they need to determine the number of students that need to travel to the
AnnZ [12381]

Answer:

The correct selection is 1.

Step-by-step explanation:

The histogram indicates that

In the 5-10 age group, there are 7 students.

In the 11-13 age group, 5 students are represented.

In the 14-18 age category, 4 students are included.

This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.

The total count in the dataset is 7+5+4=16

In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.

Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.

In option 1,

Class intervals      elements           frequency

5-10                    5,6,7,8,9,10,10           7

11-13                  11,11,12,12,13            5

14-18                    14,14,15,16              4

Based on the above table, we can determine that data set 1 is represented in the provided histogram.

Thus, the answer is option 1.

4 0
2 months ago
Read 2 more answers
Alex can ski 960 meters in 5 minutes. If his skiing speed is increased by 20 m/min, how many meters can he cover in 10 minutes?
tester [12383]
Initially, we need to determine how fast he skis in a minute without considering any speed increase.
To do that, we'll divide the total distance by the time.
960 divided by 5 equals 192.
Therefore, his speed is 192 meters per second.
Now, let's add 20 to this figure.
192 plus 20 equals 212.
Now, to calculate how far he can travel in 10 minutes, we multiply 212 by 10.
212 times 10 equals 2120.
Thus, Alex can cover 2120 meters in 10 minutes.
3 0
2 months ago
Read 2 more answers
The table shows the prices for fruit items at a local farmer’s market. Katelyn purchased four pounds of apples, six navel orange
babunello [11817]
C 35.64 I have previous experience with this.
4 0
1 month ago
Read 2 more answers
(Please Hurry!) Which expression is equivalent to the following complex fraction?
lawyer [12517]

Answer:

The equivalent expression for the provided complex fraction is

\frac{-2x+5y}{3x-2y}

Step-by-step explanation:

To simplify the complex fraction, calculating the numerator and denominator individually is effective.

Numerator:

\frac{-2}{x} + \frac{5}{y}\\ = \frac{-2y + 5x}{xy}

Denominator:

\frac{3}{y} + \frac{-2}{x}\\ = \frac{3x - 2y}{xy}

Resolving the complex fraction:

[\frac{-2}{x} + \frac{5}{y}] / [\frac{3}{y} + \frac{-2}{x}]\\= [\frac{-2y + 5x}{xy}] / [\frac{3x - 2y}{xy}]

=\frac{-2y + 5x}{xy} * \frac{xy}{3x - 2y}

Common terms in the numerator and denominator will cancel out (Cross multiplication):

= \frac{-2y + 5x}{3x - 2y}

6 0
3 months ago
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