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Alexus [3.1K]
3 years ago
15

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di

stance between the earth and the moon based on the speed of light.
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer:

682,000 miles

Step-by-step explanation:

Using the ratio of 186,000 miles per second:

\frac{miles}{second}=\frac{186,000}{1}

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon

\frac{186,000}{1}=\frac{x}{\frac{11}{3}} where 'x' is the number of miles between the earth and the moon

Cross-multiply:  x = 186,000*\frac{11}{3}

Solve for x = 682,000 miles

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​= <br> The solution set is <br> ​ 1/2(10x+16)-13=-3/5(15x-35)
-BARSIC- [3]

Answer: 13/7 or as a decimal 1.857142857

How did i get the answer:

Step 1: Simplify both sides of the equation.

so 1/2 of 10 is 5, 1/2 of 16 is 8

-3/5 of 15 is -9 and -3/5 of -35 is POSITIVE 21

all together should look like 5x+8+−13=−9x+21

(now we have to combine like terms)

8+ -13= -5

5x -5 = -9x+21

Step 2: Add 9x to both sides

5x + 9x= 14x

14x -5 = 21

Step 3: Add 5 to both sides.

21+5= 26

14x=26

Step 4: Divide both sides by 14.

26/14= 1.85714286 or 13/7

8 0
2 years ago
Read 2 more answers
Express the following in exponential notation: (-4) x ... x (-4) 11 times
Anni [7]

Given:

The expression is:

(-4)\times ...\times (-4) (11\text{ times})

To find:

The exponential notation for the given expression.

Solution:

We know that

a\times a\times ...\times a(n\text{ times})=a^n         ...(i)

We have,

(-4)\times ...\times (-4) (11\text{ times})

Using (i), the given expression can be written as:

(-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}

Therefore, the exponential notation of the given expression is (-4)^{11}.

4 0
2 years ago
Solve the literal equation 2xy - xz = 4 for x
VLD [36.1K]

Solve the literal equation 2xy - xz = 4 for x

x = 4/(2y-z)

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2 years ago
Michael estimated his mass as 8 kilograms. Is his estimate reasonable? Justify your answer.
Gennadij [26K]

Answer:  The answer is Yes.


Step-by-step explanation:  Given that Michael estimated his mass and found it to be 8 kilograms. It may sound awkward to us, but its true. Because when we measure our weight by the weight machine it gives us the product of our actual mass and the acceleration due to gravity.

From second law of motion, we have

Weight = mass × acceleration due to gravity.

That is, W = m × 9.8 m/sec².

The unit of mass is kilogram and 1 kg m/sec² = 1 Newton. Therefore, the unit of the weight we generally measure is Newton (N), not kilogram. Here is what we make mistake usually.

Thus, if Michael' mass is 8 kg, then his weight will be

W = 8 × 9.8 kg m/sec² = 78.4 N, which is normal weight of a person.

Thus, his estimation is perfectly OK.


8 0
3 years ago
What is the value of the expression -3(3+2)
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Answer:

-15

Step-by-step explanation:

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