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tangare [24]
3 years ago
6

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

tement comparing the two swimmers is accurate?
Mathematics
2 answers:
kirza4 [7]3 years ago
5 0

Remark

Without being given choices, we can get answers but they may not be listed among your. The important think is to be working in the same units

Convert miles/hour to m/sec

\frac{2.5 mi}{h}*\frac{1 h}{3600 sec}*\frac{1.6 km}{1 mi}*\frac{1000 m}{1 km}

Now just multiply all the numerators together and divide by all the denominators.

<em><u>Numerators:</u></em> 2.5 * 1.6 * 1000 = 4000

<em><u>Denominators:</u></em> 3600

numerator/denominator = 4000/3600 m/s = 1.111 m/s

Conclusion

Talia is a much faster swimmer than Alina because 1.8 is greater than 1.11. Both numbers are in m/s.

2.5 miles / hour = 1.


spin [16.1K]3 years ago
5 0

Answer:

Talia swims about 1.5 miles per hour faster than Alina.

Step-by-step explanation:

There are 3600 seconds in an hour so

1.8 x 3600 =6480

6480 divide by 1609 = 4.02 miles / hr

4.02 - 2.5 = 1.5 (by substracting the speed). This arrives at the answer that Talia swims 1.5 miles faster.

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3 0
2 years ago
What is the value of x?
Helen [10]
if the original value of x was negative then X the opposite sign version of X would have to be positive Princeton's if I start with x equals -3 then x equals -3 equals + 3 which is positive
8 0
2 years ago
Solve using the elimination method:<br> X-3y=7<br> 3x + 3y=9
sergij07 [2.7K]

Answer:

                        x=4\\\\y=-1

Step-by-step explanation:

Given Equation:

x-3y=7      Equation:1

3x + 3y=9     Equation:2

Dividing Equation:2 by '3' both the sides:

x+y=3      

or   x=3-y     Equation:3

Putting the vale of 'x' in Equation:1

                             x-3y=7

                          (3-y)-3y=7\\\\3-y-3y=7\\\\3-4y=7\\\\

Subtracting '3' both sides

                             -4y=7-3\\\\-4y=4

                                 y=\frac{4}{-4}

                                 y=-1

Putting value of 'y' in Equation:3

                                x=3-y

                                x=3-(-1)\\\\x=3+1\\\\x=4

The solution of the equations is :

                              x=4\\\\y=-1

7 0
3 years ago
Can you please help me out
Taya2010 [7]

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

\text{Total marbles = (R) + (G) +(B) = 9 + 7 + 4 = 20 marbles}

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

\text{Prob, P =}\frac{required\text{ outcome}}{possible\text{ outcome}}\begin{gathered} P(R)=\frac{9}{20} \\ P(G)=\frac{7}{20} \\ P(B)=\frac{4}{20} \end{gathered}

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

\begin{gathered} \text{Prob of a red marble P(R) =}\frac{9}{20} \\ \text{Prob of }a\text{ blue marble =}\frac{4}{19} \\ \text{After a marble is selected without replacement, marbles left is 19} \\ \text{Prob of red marble + prob of blue marble = P(R) + P(B) = }\frac{9}{20}+\frac{4}{19}=\frac{251}{380} \\ \text{Hence, the probability is }\frac{251}{380} \end{gathered}

Hence, the best option is G.

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Select the procedure that can be used to show the converse of the
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Answer:

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Step-by-step explanation:

I attached an image that forms the complete question.

The converse Pythagorean theorem states that, "If the square of the longest side of a triangle is equal to the square of the other two sides, then the triangle is a right triangle."

That is if c is the longest side of a triangle and then a and b are the other sides, then if,

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Looking at all the options, option C fits the theorem well. Because

3² + 4² = 5² implies the triangle is a right triangle and the converse theorem is established.

The option D also looks close, but it's not correct because you can just draw any two sides and put the right angle in between them. The longest is always the part of the triangle that is opposite to the right angle, 90°. If for instance, you draw 3 and 5 then put the right angle in between them, 4 will take the position of the longest side which is wrong.

Therefore, the correct option is c.

7 0
3 years ago
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