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Rzqust [24]
3 years ago
13

In a charity triathlon, Mark ran half the distance and swam a quarter of the distance. When he took a quick break to get a drink

of Gatorade, he was just starting to bike the remaining 24 miles. What was the total distance of the race?
Mathematics
1 answer:
satela [25.4K]3 years ago
8 0
Ran 1/2 - 48 m
Swam 1/4 - 24m
Bike 1/4 - 24m

24x4= 80+16= 96

The race was 96 miles long
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5 0
3 years ago
Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an e
il63 [147K]

There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

----------------

B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

---------------

"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

"Your sister is 6 years older than your brother" so S = B+6

"Your sister is 10 years old" so S = 10.

---------------

S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

B = 4

Your brother is 4 years old.

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B = Y/3

Y/3 = B

Y/3 = 4 .... plug in B = 4

3(Y/3) = 3*4 ... multiply both sides by 3

Y = 12

<h3>Answer: Your age is 12 years old.</h3>

note: This answer hinges on assumption that the "1313" should be "1/3".

6 0
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Prove that the two circles shown below are similar. ​
Setler [38]

Answer:

The scale factor is \frac{R_{A}}{R_{C}}=\frac{5}{2}

<u>We can say that both circles are similar.</u>

Step-by-step explanation:

If we move the little circle to the center of the bigger circle, so the <u>translate vector will be (3,5).</u>

Now we realize that the bigger circle is just a dilation of the smaller circle, the<u> scale factor is:</u>

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\frac{R_{A}}{R_{C}}=\frac{5}{2}

Therefore, <u>we can say that both circles are similiar.</u>

<u />

I hope it helps you!

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