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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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Use the work shown to find the solutions of the quadratic equation. x2 – x –3/4=0 x2 – x = 3/4
bija089 [108]

Answer:

x = - \frac{1}{2}, x = \frac{3}{2}

Step-by-step explanation:

Given

x² - x - \frac{3}{4} = 0

Multiply through by 4 to clear the fraction

4x² - 4x - 3 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 3 = - 12 and sum = - 4

The factors are + 2 and - 6

Use these factors to split the x- term

4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )

2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term

(2x + 1)(2x - 3) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - \frac{1}{2}

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

8 0
3 years ago
Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d
Kitty [74]

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not.  If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99.  If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!).  The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

5 0
3 years ago
The radius of a circular park is 114 yd. To the nearest yard, what is the circumference of the park?
adell [148]

circumference = 2 x pi x r

using 3.14 for pi

2 x3.14x114=715.92

 round to 716 yards

6 0
4 years ago
Read 2 more answers
Solving a system of linear equations algebraically:
guajiro [1.7K]

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

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8 0
3 years ago
An area of a triangle is 30cm^2. Side c is 2x + 3 and side b is 4x + 5. The only angle is angle A, 30°. What is the value of x?
Sever21 [200]

Answer: x =  3.66666667

Step-by-step explanation:

3 0
3 years ago
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