adela rode her bicycle 18.3 miles in 5 hours. which gives the best estamate of how far adela rode in 1 hour

Answers

Answer 1
Answer:

Answer:

Adela rode 1 hour = 3.66 miles.

Step-by-step explanation:

Given  : Adela rode her bicycle 18.3 miles in 5 hours.

To find : Which gives the best estimate of how far Adela rode in 1 hour.

Solution : We have given

Adela rode 5 hour = 18 .3 miles .

Adela rode 1 hour = (18.3)/(5).

Adela rode 1 hour = 3.66 miles.

Therefore, Adela rode 1 hour = 3.66 miles.

Answer 2
Answer: I think it is about 4 miles in one hour. But the exact answer is 3.66 miles in one hour. To get , I answer I divided 18.3 by 5 hours and got 3.66 which then rounded to 4. I hope this helped u!

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The length of a football field is 120 yd. The width of the football field is 50 yd. Which is the correct unit of measurement to use when figuring out how much rope is needed to surround the field? A. yd B. yd2 C. yd3
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Find the length of BC.

Answers

Answer:

BC = 10 units

Step-by-step explanation:

From the picture attached,

It's given that AD and BE are the parallel sides.

AC and DC are the transversal lines intersecting the parallel lines.

In ΔADC and ΔBEC,

∠DAC ≅ ∠EBC [Corresponding angles]

∠ADC ≅ ∠BEC [Corresponding angles]

ΔADC ~ ΔBEC [By AA property of similar triangles]

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

(AC)/(BC)=(DC)/(EC)

(AB+BC)/(BC)=(DE+EC)/(EC)

(2.5+BC)/(BC)=(2+8)/(8)

(2.5)/(BC)+1=(10)/(8)

(2.5)/(BC)=(5)/(4)-1

(2.5)/(BC)=(1)/(4)

BC = 10

A prism whose base is a 9-sided polygon is intersected by a plane. In which case could the cross section be a 10-sided polygon?

Answers

Answer:

when the plane makes a narrow angle with the base.

Step-by-step explanation:

Given: A prism with a Nonagon as base.

To find: When a cross section be a Decagon.

Nonagon is a polygon with 9 sides

Decagon is a polygon with 10 sides.

1). when a cross section is taken parallel to the base, the cross section will be Nonagon .i.e., it will be a 9 sided polygon.

2).when a  cross section is taken perpendicular to the base, the cross section will be a rectangle.

3). when a slant cross section is taken .i.e., one with any angle other than 90° or 180° to the base. It will be a 10-sided polygon.

When the plane intersects the polygon at any given two adjacent sides of the base. 

A recipe for homemade modeling clay includes 13 1 3 cup of salt for every cup of water. If there are 6 cups of salt, how many gallons of water are needed?

Answers

Answer:

9/320 gallons of water or 0.028125 gallons of water

Step-by-step explanation:

We are told in the question:

13 1/3 cup of salt = 1 cup of water.

6 cups of salt =

Cross Multiply

= 6 × 1/ 13 1/3

= 6 / 13 1/3

= 6 ÷ 40/3

= 6 × 3/40

= 18/40 cup of water.

= 9/20 cup of water.

16 cups of water = 1 gallon

9/20 cup of water =

= 9/20 × 1/16

= 9/20/ 16

= 9/20 ÷ 16

= 9/20 × 1/16

= 9/320 gallons of water or 0.028125 gallons of water

Therefore, 9/320 gallons of water or 0.028125 gallons of water is needed for 6 cups of salt

=

Final answer:

To make 6 cups of salt, 6/16 gallons of water are needed.

Explanation:

To determine how many gallons of water are needed for 6 cups of salt, we can use the proportion given in the recipe: 13 1 3 cups of salt for every cup of water. We can set up the proportion as 13 1 3 : 1 = 6 : x, where x represents the number of gallons of water needed. To solve for x, we can cross multiply and divide: (13 1 3)(x) = (6)(1), which simplifies to  x = 6 * 1 / 13 1 3 = 6 / 13 1 3. To convert this fraction to a mixed number, we can use division: 6 ÷ 13 = 0 with a remainder of 6. Therefore, there are 0 whole gallons of water and 6 cups, or 6/16 gallons, of water needed.

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Cindy says that 1/3 is an irrational number because the fraction form doesn't terminate. Construct an argument to support or refute Cindy's position.

Answers

It’s not an irrational number because it can be written as a decimal. It is in an infinite decimal but if anything can be written as a fraction it is not a irrational number. :))

Final answer:

Cindy's argument is incorrect. 1/3 is a rational number because it can be expressed as the ratio of two integers. The fact that the decimal representation of 1/3 does not terminate does not make it irrational.

Explanation:

Cindy's argument is incorrect. A fraction is considered irrational if it cannot be expressed as the ratio of two integers. In the case of 1/3, it can be expressed as the division of the integer 1 by the integer 3, so it is a rational number. The fact that the decimal representation of 1/3 (0.333...) does not terminate does not make it irrational. Irrational numbers are decimal numbers that do not repeat or terminate, such as π (pi) and √2 (the square root of 2).

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Help solve with subsitution x+y=1, 2x+3y=-4

Answers

{   x + y = 1    * ( - 2 )
  2 x + 3y = -4

- 2 x - 2 y = - 2
  2 x + 3 y = - 4
_______________
         y = - 6

Subsititute y = - 6 

2 x + 3 y = - 4

2 x + 3 * (-6) = -4

2 x - 18 = - 4

2 x = - 4 + 18

2 x = 14

x = 14 / 2

x = 7

The solution  to the system of equations are:

x = 7 and y = - 6

hope this helps!



As shown in the diagram below, CD is a median of triangle ABC.

Answers

Always true is a statement (1) \overline{AD}=\overline{DB}