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andriy [413]
3 years ago
5

The mass of the moon is 7.36*10^25 grams to the nearest tenth how many moons would it take to equal the mass of earth

Mathematics
1 answer:
trapecia [35]3 years ago
6 0

Nearly 81 moons will be required to equate the mass of moon to the mass of earth.

Step-by-step explanation:

Mass of earth is 5.972*10^24 kg.  

Mass of the moon is 7.36*10^25 g = 7.36*10^22 kg

As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.

 Mass of Earth = Number of moons * Mass of Moon

Number of Moons = Mass of Earth/Mass of moon

Number of moons = 5.972 * 10^24/7.36*10^22= 81 moons.

So nearly 81 moons will be required to equate the mass of moon to the mass of earth.

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Use the quadratic formula to find the solutions to the quadratic equation below x^2-6x-5=0
Sonja [21]

Answer:

\large\boxed{x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}}

Step-by-step explanation:

x^2-6x-5=0\qquad\text{add 5 to both sides}\\\\x^2-6x=5\\\\x^2-2(x)(3)=5\qquad\text{add}\ 3^2\ \text{to both sides}\\\\x^2-2(x)(3)+3^2=5+3^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-3)^2=5+9\\\\(x-3)^2=14\to x-3=\pm\sqrt{14}\qquad\text{add 3 to both sides}\\\\x=3-\sqrt{14}\ \vee\ x=3+\sqrt{14}

8 0
3 years ago
If f(x) = 5x + 40, what is f(x) when x = -5?<br> 0 -9<br> O-8<br> 07<br> 0 15
gogolik [260]

Good morning ☕️

______

Answer:

15

___________________

Step-by-step explanation:

f(x) = 5x + 40

then

f(-5) = 5(-5) + 40

= -25 + 40

= 40-25

= 15.

:)

3 0
3 years ago
Round 41.805 to the nearest whole number
aleksandr82 [10.1K]
The answer to your question is 42. The rule is 5 or more go up 1 . If the number is 4 les stay where it is. hope this help.

5 0
3 years ago
Read 2 more answers
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many
Juliette [100K]

Answer:

100 boys at the concert

Step-by-step explanation:

When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7

So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

  2   :   7

×50   ×50

To get:

100:350  ⇒  This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

<u>Answer:</u> 100 boys at the concert

<em>I hope you understand and that this helps with your question! </em>:)

7 0
3 years ago
Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place
liq [111]

Answer:

4,099  and 5,011

Step-by-step explanation:

This problem can be solved by taking options one by one.

Option (1) : 4,099  

Digit in ones place = 9

The value of the digit in tens place = 90

\dfrac{9}{90}=\dfrac{1}{10}. It is correct.

Option (2) : 4,110

Digit in one places = 0

The value of the digit in tens place = 10

It is incorrect.

Option (3) : 5,909

Digit in one places = 9

The value of the digit in tens place = 0

It is again incorrect.

Option (4) : 5,011

Digit in one places = 1

The value of the digit in tens place = 10

\dfrac{1}{10}. It is correct.

Hence, in option (a) and (d), the he ones place is 1/10 the value of the digit in the tens place.

7 0
3 years ago
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