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77julia77 [94]
2 years ago
8

A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the trac

k at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least number of minutes it mus take for all three to be together again?
Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0

Answer:

B gains 100 yards every minute. So, after 10 minutes, B has lapped A once.

C gains 100 yards on B every minute, so after 10 minutes C has lapped B.

Thus, after 10 minutes, A has gone 7 laps, B has gone 8 laps, C has gone 9 laps, and all are even again.

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Wong’s Garage buys quarts of motor oil by the gross (144 units) for $0.75 per quart. When Wong’s changes the oil in customers’ c
attashe74 [19]

Question says that Wong’s Garage buys quarts of motor oil by the gross (144 units) for $0.75 per quart.

That means cost of 1 quart motor oil = $0.75

Now it says that Wong’s changes the oil in customers’ cars and marks up the oil 175% of the cost.

So that means selling price of the 1 quart of the motor oil

= 175% of original price

= 175% of 0.75

= 1.75* 0.75

= 1.3125

Which is approx $1.31


Hence final answer is $1.31


7 0
2 years ago
A motorist traveled to a distant city in 2 hours and returned by another route that is 30 miles long. On the return trip, she tr
IRISSAK [1]

Answer:

180 miles

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and $6,151 million for 201
ExtremeBDS [4]

Answer:

A. 44.82%

B.

Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)

C.

Option b. The Companies would tend to repurchase their own stock if they feel the stock is been undervalued by the market

Step-by-step explanation:

a. Computation for return on equity for 2015

Using this formula

Return on equity = The Net income amount /The Average stockholders' equity amount

Let plug in the formula

Return on equity=2,634.4/[(5,605+6,151)/2]

Return on equity=2,634.4/(11,756/2)

Return on equity=2,634.4/5,878

Return on equity=0.4482×100

Return on equity= 44.82%

b. In a situation where they repurchased over $1.4 billion of its common stock in the year 2015 this means that the RETURN ON EQUITY will usually tend to increases reason been that the repurchase of shares will often reduces the denominator (average stockholders' equity)

Therefore the repurchase increase Starbucks’ Return On Equity.

c. In a situation where Starbucks had not repurchased common stock in the year 2015, what their Return On Equity would have been is that they will repurchase their own stock if they feel the stock is been undervalued by the market

6 0
2 years ago
Find the dimensions of the rectangle with area 289 square inches that has minimum perimeter, and then find the minimum perimeter
nalin [4]
 <span>To minimize the perimeter you should always have a square. 
sqrt(289) = 17 
The dimensions should be 17 X 17 

To see , try starting at length 1, and gradually increase the length. 
The height decreases at a faster rate than the length increases, up until you reach a square. 

Or if you want to use algebra, Say the width is 17-x 
Then the length is 289/(17-x) 

Now, this is bigger than 17+x, as shown here: 
289/(17-x) > 17+x 
289 > 289 - x^2 
which is true. 
so the perimeter would be bigger than 2 * (17- x + 17 + x) = 2 * (2 * 17) = 4 * 17 

Again, the dimensions should be a square. 17 X 17.</span>
4 0
2 years ago
What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

7 0
2 years ago
Read 2 more answers
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