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storchak [24]
3 years ago
15

Several students were asked how many blocks they walk from home to school each day. The results are shown in the line plot. How

many students were asked the question? Use the line plot to solve this problem. SHOW WORK, NO GUESSiNG!

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0

Answer:

25 students.

Step-by-step explanation:

A line plot is a simple graph that shows relationship among the values in a data using a number line.

From the line plot, each dot represents a student. While the number on the line shows the number of blocks walk each day by each student.

It can be deduced from the line plot that;

Only 1 student walks through 7 blocks, 2 walk through 5 blocks, 8 walk 4 blocks, 5 walk 3 blocks, 5 walk 2 blocks and 4 walk through 1 block to school each day.

So that;

1 + 2 + 8 + 5 + 5 + 4 = 25

Therefore, the number of students who took part in the survey is 25.

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Katie has a coin collection she keeps 7 of the coing in the box which is only 14% of her entire collection. What is the total nu
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Answer:

x= 50

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I hope this helped

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1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

3 0
3 years ago
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