A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain how to use equivalent fractions to find the distance a gazelle could run in 1 minute. Then write the equivalent fractions.

Answers

Answer 1
Answer:

Answer:

In 1 min a gazelle runs 3,900 ft.

As a fraction, 1/65

In order to find the solution to this problem you could use a table.

Since we are using seconds we have to convert the 1 min = 60 seconds.

Sec   |  12    |    60

Fts    |  780  |    x  

12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.

x=3900


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Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in. A) 210 in^2 B) 240 in^2 C) 42 in^2 D) 420 in^2

Answers

The question ask to choose among the following choices that contains the value of the lateral area of a regular pentagonal pyramid that has a slant height of 14 in and a base side length of 6 in. Base on my calculation, the answer would be A. 210 inch^2. I hope this would help 

The lateral area of a regular pentagonal pyramid has a slant height of 14 in is 210 inch^2.

We have given that ,

The lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.

What is the pentagonal pyramid?

A pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point. Like any pyramid, it is self-dual. The regular pentagonal pyramid has a base that is a regular pentagon and lateral faces that are equilateral triangles.

The question ask to choose among the following choices that contain the value of the lateral area of a regular pentagonal pyramid that has a slant height of 14 in and a base side length of 6 in.

Base on my calculation, the answer would be A.

210 inch^2.

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The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.pls writ abt 1-2 sentences asap :(((

Answers

Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.

A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters. Thediameter is _millimeters.

Answers

The value of diameter is,

⇒ d = 16 mm

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A cylinder has surface area of 256 π square millimeters and a height of 8 millimeters.

Since, We know that;

Surface area of cylinder is,

SA = 2πrh + 2πr²

Here, We have;

SA = 256π

h = 8 mm

Hence, We get;

256π = 2π × r × 8 + 2π × r²

128 = 8r + r²

r² + 8r - 128 = 0

r² + 16r - 8r - 128 = 0

r (r + 16) - 8 (r + 16) = 0

(r - 8) (r + 16) = 0

r = 8 mm

Hence, The value of diameter is,

d = 2 x 8

d = 16 mm

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Answer:

I believe the answer is 32.

Given the following system of equations, identify the type of system.x + 2y = 6
3x + 6y= -9
A. Consistent
B. Inconsistent
C. Equivalent

Answers

Answer:

The two lines in the graph are parallel, so it is B. Inconsistent since there is no solution.

Answer:

the answer would be B inconsistent

What are the exact solutions of x^2 = 4 − 7x?

Answers

see attached picture for answer

A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change during the 40-minute time of talk?Total minutes of talk time Monthly cost of cell phone
0 $19.95
10 $20.45
20 $20.95
30 $21.45
40 $21.95


A.) The average rate of change is $0.50, meaning that for each minute of talk time, the monthly bill increases by $0.50.

B.) The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50.

C.) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

D.) The average rate of change is $0.05, meaning that for every ten minutes of talk time, the bill increases by $0.05.

Answers

For this case, the first thing we must do is find the average rate of change for the mentioned interval.

By definition we have to:

AVR = (f(x2)-f(x1))/(x2-x1)

Substituting values we have:

AVR = (21.95-19.95)/(40-0)

Rewriting we have:

AVR = (2)/(40)

Answer:

C.) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

The answer would be B The average rate of change is $0.50, meaning that for every ten minutes of talk time, the bill increases by $0.50.