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Dima020 [189]
2 years ago
9

A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o

f mass into energy every second. How many tons of mass will be transformed into energy during the star's 10-billion-year lifetime. Hint: Find the number of seconds in 10 billion years.
Mathematics
1 answer:
marta [7]2 years ago
6 0

Answer:

2.20752 x 10^{24}

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

  • 365 days refer to the total number of days per year
  • 86,400 seconds refer to the number of seconds per day

Let's solve.

  • 365 x 86,400 = 31,536,000 or 3.1536 x 10^{7}

<em>Therefore, one year has 3.1536 x </em>10^{7}<em> seconds.</em>

Next, you have to know the number of seconds in 10 billion years.

  • (3.1536 x 10^{7}) x  (1.0 x 10^{10}) = 3.1536 x 10^{17}

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

  • (3.1536 x 10^{17}) x 7,000,000 = 2.20752 x 10^{24}
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Jesse has $3.40 in quarters and nickels. The number of nickels is 5 more than 2 times the number of quarters. How many quarters
dlinn [17]

Answer:

9 quarters

Step-by-step explanation:

From the question

Jesse has $3.40 in quarters and nickels

Quarters = q = number of quarters

1 quarter = $0.25

nickels = n = number of nickels

1 nickel = $0.05

Hence,

0.25q + 0.05n = $3.40 .......Equation 1

The number of nickels is 5 more than 2 times the number of quarters.

n = 2q + 5

0.25q + 0.05n = $3.40 .......Equation 1

0.25q + 0.05(2q + 5) = 3.40

0.25q + 0.10q + 0.25= 3.40

0.35q = 3.40 - 0.25

0.35q = 3.15

q = 3.15/0.35

q = 9

Therefore, Jessie has 9 quarters.

3 0
3 years ago
( NEEDED ASAP! )
bulgar [2K]

Answer:

y=3r+5

Step-by-step explanation:

Break up the sentance.

Capon city has 5 more than 3 times as many residents as harbor city.

The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.

Capon city=y

has=equal sign

5 more=+5

3 times as many=3r

y=3r+5

4 0
2 years ago
Plz help i did it now
puteri [66]

56*4/5

=11.2*4

=44.8

that is the answer

6 0
3 years ago
Find the area of a circle whose radius is 12 in. Round to the nearest 10
Ksivusya [100]

Answer:

Area = pi r²

area = 22/7 × 12 × 12 = 452.57 in²

7 0
3 years ago
Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following equations represents his total cost?
klio [65]
Awnser is: T(total)=30(admission)+4(price of rides)x(number of rides)
4 0
3 years ago
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