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2 years ago

(5) Rhea ran 6 laps on a track. Each lap is 200 yards. Rhea's average speed for

Mathematics

1 answer:

sashaice [31]2 years ago

7 0

Answer:

72 yd / min

Step-by-step explanation:

The first thing is to fully calculate the distance traveled, each lap is 200 yards and how 6 laps would be:

200 * 6 = 1200

Now, let's divide the race into how the statement tells us:

1200 * 2/3 = 800

1200 * 1/3 = 400

That is, in the first 800 yards it goes to 80 yd / min and then in the remaining 400 yards it goes to 60 yd / min, let's calculate the time Rhea lasted:

800/80 = 10 min

400/60 = 6,667 min

Which means that in total it would be:

10 + 6,667 = 16,667

In other words, Rhea took 16,667 minutes to travel 1,200 yards, so the speed would be:

1200 / 16,667 = 72

Therefore the average Rhea speed was 72 yd / min

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The solution set of 4x-(x+7)=2(x+3)

maria [59]

Step-by-step explanation:

<h3>To Solve:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

<h3>SOLUTION:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

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$\\ \tt{:}\leadsto x=13$

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2 years ago

If the ratio of the radii of two spheres is 2:3, the ratio of their surface areas will be 8:27.

Slav-nsk [51]

The ratio of 2 similar areas is the square of the ratio of their RADIUS or (sides)
R²=(2/3)² = 4/9 This should be the answer

Whereas R³ = (2/3)³ = 8/27 is the ratio of their volume & not area

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3 years ago

Katie wants to know how much she needs to deposit into a two year CD account in order to earn $100 in simple interest. The accou

sergey [27]

Answer:

To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Step-by-step explanation:

Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:

X x 0.015 = 100

X = 100 / 0.015

X = 6,666.66

6,666.66 x 1.015 = 6,766.66

Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

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2 years ago

Determine whether the statement is true or false. If f and g are positive increasing functions on an interval I, then fg is incr

Leno4ka [110]

Answer: false

Step-by-step explanation:

If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,

Using product rule;

(fg)' = fd(g) + gd(f)

(fg)' = f * g' + f' * g

and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;

f = x, g = 5x on I = (-5, -2)

f' = 1 and g' =5 both greater than 0

f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.

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2 years ago

The mass of the moon is 7.36*10^25 grams to the nearest tenth how many moons would it take to equal the mass of earth

trapecia [35]

Nearly 81 moons will be required to equate the mass of moon to the mass of earth.

Step-by-step explanation:

Mass of earth is 5.972*10^24 kg.

Mass of the moon is 7.36*10^25 g = 7.36*10^22 kg

As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.

Mass of Earth = Number of moons * Mass of Moon

Number of Moons = Mass of Earth/Mass of moon

Number of moons = 5.972 * 10^24/7.36*10^22= 81 moons.

So nearly 81 moons will be required to equate the mass of moon to the mass of earth.

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3 years ago