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ankoles [38]
3 years ago
10

The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr

iday or Saturday? Write the percent as a mixed number in simplest form

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

66\frac{2}{3}%

Step-by-step explanation:

Total Reservations = 5 + 3 + 4 + 7 + 26 + 30 + 9 = 84

Reservations for Fri and Sat = 26 + 30 = 56

So, for friday and saturday, it is:

56/84

Dividing top and bottom by 28, we get:

56/84 = 2/3

Diving, we get:

0.66667

Converting to percentage:

0.66667 * 100 = 66.66667%

This is basically 66 and 2/3rd Percent.

We can write it as:

66\frac{2}{3}%

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Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB
anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

3 0
3 years ago
In the data set below, what is the mean absolute deviation? 1, 4, 2, 8, 4, 8
Olin [163]

Answer:

4.5

Step-by-step explanation:

1±4±2±8±4±8=27

27÷6=4.5

3 0
3 years ago
1.
Lostsunrise [7]

Using the law of sines, it is found that the distance between the kite and the dog is of 284.77 meters.

<h3>What is the law of sines?</h3>

Suppose we have a triangle in which:

  • The length of the side opposite to angle A is a.
  • The length of the side opposite to angle B is b.
  • The length of the side opposite to angle C is c.

The lengths and the sine of the angles are related as follows:

\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}

For the situation described, we have that:

  • The height is opposite to the angle of 42º.
  • The 425 meters are opposite to the angle of 87º.

Hence:

\frac{\sin{42^\circ}}{h} = \frac{\sin{87^\circ}}{425}

Applying cross multiplication:

h = 425\frac{\sin{42^\circ}}{\sin{87^\circ}}

h = 284.77 meters.

More can be learned about the law of sines at brainly.com/question/25535771

#SPJ1

3 0
2 years ago
Select all the correct answers.<br> Which equations have infinitely many solutions?
777dan777 [17]
I think it is b and d
4 0
3 years ago
Read 2 more answers
Find the measures of the numbered angles in each kite. (help plz!)
liberstina [14]

In each separate triangle is a right angle. So subtract 90 (right angle) and the given number from 180 (total degrees of a triangle) to find the missing angle.

8 0
3 years ago
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