As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per minute. At this speed, how many miles will Jupiter travel in 4 minutes? Do not round your answers.

Answers

Answer 1
Answer:

Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:

8 miles    x    60 s

1 second        1 min

The unit of seconds will cancel out so you will get 480 miles/ min

To get how far it travels in 4 min you need to multiply the speed by 4 minutes

480 miles   x  4 min

  1 min

The unit of minutes will cancel out to get 1920 miles

Therefore, Jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.

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Answer 2
Answer: First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:

 8 miles    x    60 s 
1 second        1 min

The unit of seconds will cancel out so you will get 480 miles/ min

To get how far it travels in 4 min you need to multiply the speed by 4 minutes

480 miles   x  4 min
   1 min

The unit of minutes will cancel out to get 1920 miles

Therefore, jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.


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Find a5: 0, 3, 8, 15, a5, 35, ... a. 20

b. 22

c. 24

d. 25

Answers

1X1-1: 0
2X2-1: 3
3X3-1: 8
4X4-1: 15
5X5-1: 24
6X6-1: 35
7X7-1: 48
*8X8-1: 63*

Final answer:

In the sequence 0, 3, 8, 15, a5, 35, the term a5 equals 24 as each term in the sequence is the square of its position minus 1.

Explanation:

To determine the value of a5 in the sequence 0, 3, 8, 15, a5, 35,... let's first analyze the pattern in the sequence. Each term equals the square of the term's position in the sequence minus 1. This implies that the first term is (1²-1)=0, the second term is (2²-1)=3, the third term is (3²-1)=8, and so on. Hence, the fifth term a5 would be (5²-1)=24. So, the answer is c. 24.

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The table below shows the number of cars Jing sold each month last year.What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

  • If n is odd, then the formula for calculating median is given by;

                           Median = ((n+1)/(2) )^(th) \text{ obs.}

  • If n is even, then the formula for calculating median is given by;

                           Median = \frac{((n)/(2) )^(th) \text{ obs.} + ((n)/(2)+1 )^(th) \text{ obs.} }{2}

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = ((n+1)/(2) )^(th) \text{ obs.}

                   = ((5+1)/(2) )^(th) \text{ obs.}

                   = ((6)/(2) )^(th) \text{ obs.}

                   = 3rd obs. = 19

Hence, the median of the data in the table is 19.

PLEASE HELP!!!!!!!!!!!!!!! A small coffee cup holds 75% as much as a large coffee cup. If the small holds 36 units, how much does the large coffee cup hold?

Answers

Answer:

48 units

Step-by-step explanation:

Let x = the amount the large cup holds

36 = 75% of x

36 = .75x.        (The word "of" indicates you will be multiplying)

36 ÷ .75 = x

48 = x

Use the cubic model y = 10x3 − 12x to find the value of y when x = 9.

Answers

Answer:

7182

Step-by-step explanation:

All you shoud do is to replace x by 9

● y = 10 * 9^3 -12*9

● y = 7182

Use cross products to demonstrate whether the two ratios are equivalent in this problem: 4 over 6 times 14 over 21

Answers

Determine if the two ratios are equivalent in this problem

The two ratios are equivalent

Given:

4 over 6 times 14 over 21

Times mean multiplication (×) in mathematics

Over means division (÷ or /) in mathematics

So,

4 over 6 times 14 over 21

= 4/6 × 14 / 21

Equate both ratio

4/6 = 14/21

cross product

(4 × 21) = (6 × 14)

84 = 84

Therefore, the two ratios are equivalent

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4/6 = 14/21When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator4×21 = 6×1484=84They are equivalent because they both equal 84

P-4x - 3y= -26
-5x+2y= -21
Find the solution to the system of equations shown above by graphing.
A. X= 5, y= 2
B. X= 5, y=3
C. X= 2, y = 5
D. x= 6, y= 2
PLEASE EXPLAIN!!!

Answers

The answer is A because if u graph it it would be right