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Lelechka [254]
2 years ago
5

Saturn’s rings span up to about 3/4 of the distance between the Earth and its moon. If Saturn’s rings span up to 179,000 kilomet

ers, what is the distance between Earth and its moon?
Mathematics
2 answers:
larisa [96]2 years ago
4 0

Answer:

The distance between Earth and its moon is about 238,667\ km

Step-by-step explanation:

Let

y ------> Saturn’s rings span up

x -----> the distance between the Earth and its moon

we know that

The linear equation that represent this situation is

y=\frac{3}{4}x -----> equation A

y=179,000\ km -----> equation B

substitute B in equation A and solve for x

179,000=\frac{3}{4}x

Multiply by 4/3 both sides

x=179,000(\frac{4}{3})

x=238,667\ km

andrey2020 [161]2 years ago
4 0

Same answer as what the person above said but the rounded answer in scientific notation is 2.39 · 10⁵.

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Answer:

1/9

Step-by-step explanation:

135 in Sport centre: Total

59:swimming pool

31:track

19 both swimming and gym

16 gym and track

4 all three facilities

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is

4/36=1/9

Hope this helps!!!

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2 years ago
A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
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Step-by-step explanation:

The line of best fit is y = 2.599x + 105.08.  At x = 20, the estimated height is y = 157.06.  The actual height is 160 cm, so the residual is:

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1 year ago
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

  • <em><u>5.3 hours</u></em>

Explanation:

<u>1) Time it takes Ashley to preprate one bag: </u>

  • 2/3 min

<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>

  • 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
  • 2/3 min + 1/2 min = 7/6 min

<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>

  • Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

  • Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

  • Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

  • Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

<u>4) Time of prepare 1575 bags of samples:</u>

  • time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

<u>5) Convert minutes to hours:</u>

  • 356.56 min × 1 hour / 60 min = 5.3 hours
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Step-by-step explanation:

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