Adam, Matt, and Clinton sold sandwiches in the ratio of 2:7:3 to raise money their basketball team. Matt sold 91 sandwiches. How
1 answer:
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She has $12,488 in savings
Step-by-step explanation:
Ariana plans to use $260 less than three-fourths of savings to buy a car.
If the purchase price of the car is 9,340, we need to find how much
she has in savings
To find the savings
- Assume that she has $x in savings
- Write an equation of x
- Solve the equation to find x
∵ She has $x in savings
∵ She plans to use $260 less than three-fourths of savings
- Three-fourths means and less than means subtract
∴ She plans to use x - 26
∵ The purchase price of the car is 9,340
- Equate the expression of x by 9,340
∴ x - 26 = 9,340
Now let us solve the equation
∵ x - 26 = 9,340
- Add 26 to both sides
∴ x = 9,366
- Divide both sides by
∴ x = $12,488
She has $12,488 in savings
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Answer:
0.049168726 light-years
Step-by-step explanation:
The apparent brightness of a star is
where
<em>L = luminosity of the star (related to the Sun) </em>
<em>d = distance in ly (light-years) </em>
The luminosity of Alpha Centauri A is 1.519 and its distance is 4.37 ly.
Hence the apparent brightness of Alpha Centauri A is
According to the inverse square law for light intensity
where
light intensity at distance
light intensity at distance
Let be the distance we would have to place the 50-watt bulb, then replacing in the formula
Remark: It is worth noticing that Alpha Centauri A, though is the nearest star to the Sun, is not visible to the naked eye.