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kkurt [141]
3 years ago
13

Shane has a segment with endpoints C(3, 4) and D(11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. He kn

ows that the distance between the x-coordinates is 8 units. Which of the following fractions will let him find the x-coordinate for point E?
Mathematics
1 answer:
kifflom [539]3 years ago
5 0

Answer:

(6 , 29/8)

Step-by-step explanation:

Let divide the segment into 8 equal parts (since 3 (CE) + 5(ED) = 8)

(11 - 3) / 8 = 8/8 = 1. So each x-segment will be 1 unit

(3 - 4) / 8 = -1/8. So each y-segment shall be -1/8 unit.

CE will represent 3/8 of the relative line.

Ex = 3 + 1 * 3 = 3 + 3 = 6

Ey = 4 + (-1/8) * 3 = 4 - 3/8 = 29/8

(6 , 29/8) is the final answer  

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Using your answer from part (b) and inequality symbols, write one statement that shows the relationship among all of the numbers
Natali5045456 [20]

Answer:

(b) Least to greatest numbers are -1.0, -\frac{1}{4} , 0, 0.5, 1.5

(c) -1.0 <  -\frac{1}{4}  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  -\frac{1}{4}  > -1.0

Step-by-step explanation:

P.S - The exact question is -

Given - Kendra collected data for her science project. She surveyed

             people asking them how many hours they sleep during a

             typical night.

             The chart below shows how each person’s response compares

              to 8 hours (which is the answer she  expected most people to say).

Name                Number of Hours                       Compared to Hours

                         (usually slept each night)

Frankie                        8.5                                                    0.5

Mr. Fields                      7                                                      −1.0

Karla                             9.5                                                     1.5

Louis                             8                                                         0

Tiffany                            7\frac{3}{4}                                                       -\frac{1}{4}

To find - (a) Plot and label each of the numbers in the right-most column

                   of the table above on the number line below.

               (b) List the numbers from least to greatest.

                (c) Using your answer from part (b) and inequality symbols,

                     write one statement that shows the relationship  among all

                     of the numbers.

Proof -

(a)

We can see that the numbers in the right-most column are  0.5, -1.0, 1.5, 0, -\frac{1}{4}

We can write -\frac{1}{4} = -0.25

Now,

We have to label them in the number line

The number line is as follows :

(b)

Least to greatest numbers are -1.0, -\frac{1}{4} , 0, 0.5, 1.5

(c)

By using inequality symbol, we get

-1.0 <  -\frac{1}{4}  < 0 < 0.5 < 1.5

OR

1.5 > 0.5 > 0 >  -\frac{1}{4}  > -1.0

5 0
2 years ago
What is the perimeter of the entire football field including the end zone
Dmitry [639]

Answer:

346 2/3 yards

Step-by-step explanation:

A football field is 100 yards long with each end zone being 10 years long, meaning the total length is 120 yards.

The width is 53 1/3 yards.

The perimeter is all the sides added, and a rectangle's, the shape of the field's, formula is p = 2l + 2w.

So if we plug it in and add it all up:

120 + 120 + 53 1/3 + 53 1/3

Perimeter = 346 2/3

4 0
3 years ago
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Gennadij [26K]

Answer:

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A statistic is a value that represents a property of a sample. This could be the sample mean.

In the given scenario, the population is the entire 14 teams. This means that the percentage given is a value representing a property of the population. Therefore, the correct answer is

C. Parameter, because the data set of all 14 teams is a population.

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3 years ago
What is the height of an airplane as it descends to an airport runway
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The height of an airplane as it descends to an airport runway is in the whole numbers, rounded to the nearest 100 feet.
Answer: Whole number.

3 0
3 years ago
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