MATHEMATICS COLLEGE

If x+y = 10
and xy 21
find 2(x² + y ² )
​

Answers

Answer 1
Answer:

Answer:

158

Step-by-step explanation:

2(x square + y square)

2 (X+y) square -2 xy

2(10) square -2(21)

2×100-42

200-42

=158

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The speed of light travels at a rate of approximately 3.0 * 10^8 meters per second. How far, in meters, does light travel in 10^5 seconds?

Answers

Answer:


Step-by-step explanation:

There is a few ways to go about doing this problem. I am going to setup a function.

x = seconds

f(x) = distance = How far

f(x) = (3.0* 10^8) x

Insert 10^5 where x is located

(3.0* 10^8) x

Multiply

(3.0* 10^8) (10^5)

Do the math

(3.0* 10^8) (10^5) = 3 * 10^13

amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?

Answers

Answer:

$16.8912

Step-by-step explanation:

We are given that Amelia and her  two friends went out to lunch.

If each girl ordered exactly the same meal.

We have to find out the value of price of  each meal without tax.

Total cost of meals=$55.08

Cost of 3 meals with tax=$55.08

Sales tax=8% of $55.08

8% of 55.08=(8)/(100)*55.08

8% of 55.08= $4.4064

Cost of 3 meals without tax=$55.08-$4.4064=$50.6736

Cost of each meal=(50.6736)/(3)=$16.8912

Hence, the cost of each meal without tax=$16.8912
Cost of the meal with tax = 108% = $55.08

108% = 55.08
1% = 55.08 ÷ 108 = $0.51
100% = $51

3 meals = $51
1 meal = $51 ÷ 3 = $17

Answer: $17

A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

Distance = 880ft

Step-by-step explanation:

Given

Speed = 20(miles)/(hour)

Time = 30\ seconds

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

Speed = (Distance)/(Time)

Make Distance the subject

Distance = Speed * Time

Distance = 20 miles/hour * 30 seconds

Convert seconds to hour

Distance = 20 miles/hour * (30)/(3600) hour

Distance = 20 miles * (30)/(3600)

Distance = (20 miles * 30)/(3600)

Distance = (600\ miles)/(3600)

Distance = (1)/(6) miles

Convert to foot

Distance = (1)/(6) * 5280\ ft

Distance = (1* 5280\ ft)/(6)

Distance = (5280\ ft)/(6)

Distance = 880ft

The graph at the right described the money two clubs are earning from fundraising. In how many weeks will the two clubs have the same amount of money? Explain your thinking completely

Answers

Answer:

52 weeks

Step-by-step explanation:

The club starting with $270 (club 1) is increasing their bank balance each week by ...

... $280 -270 = $10

The club starting with $10 (club 2) is increasing their bank balance each week by ...

... $25 -10 = $15

Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...

... $260/($5/week) = 52 weeks

_____

The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.

Suppose tortilla chips cost 22.5 cents per ounce. If a bag costs $3.07, how many ounces are in the bag of chips? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

13.64 ounces

Step-by-step explanation:

Cost per ounce = $0.225

Cost per bag = $3.07

The number of ounces in a bag of chips is given by the cost per bag divided by the cost per ounce:

n=(3.07)/(0.225)\n n=13.64\ ounces

There are 13.64 ounces in a bag of chips.

At Davis you can buy 12 pounds of M&M's for $12.24 or 8 pounds for $8.24 at Smith's. Which is the better buy

Answers

Answer:

12 pounds

Explanation:

If you were to divide 12.24 from 12 you would get 1.02, which would be the cost of each pound.

Meanwhile, if you were to divide 8.24 from 8 you would get 1.03, which would be the cost of each pound.

So although its only a 1 cent difference and you are technically spending more by buying the 12 pounds, if it were to buy 8 pounds from the cost of each pound for the 12 pounds, you'd only be spending $8.16 vs $8.24.

Because you would multiply 1.02, which is the cost of each pound for 12, by 8 and you would get 8.16.
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