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never [62]
2 years ago
7

Suppose you have entered an 85​-mile biathlon that consists of a run and a bicycle race. during your​ run, your average velocity

is 9 miles per​ hour, and during your bicycle​ race, your average velocity is 29 miles per hour. you finish the race in 5 hours. what is the distance of the​ run
Mathematics
1 answer:
belka [17]2 years ago
7 0
X= number of hours in run
y = number of hours in bike race

9x+29y=85
x+y=5, and y=5-x

Substituting 5-x for y in the first equation, we have 9x+ 29(5-x)=85 and 9x+145-29x=85, then subtracting 145 from both sides to get -20x=-60 and x=3, which is the amount of hours in the running race. Multiply that by 9 miles per hour to get 27 miles
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A candy company can make 350 pounds of chocolate and 6 hours how much can they make in 10 hours
Andrew [12]

350 ÷ 6 = 58.33

58.33 pounds of chocolate per hour

58.33 × 10 = 583.3

583.33 pounds of chocolate in 10 hours

8 0
3 years ago
Read 2 more answers
Stan's Sweater Superstore has a 30% off sale. This week only, everything in the store is marked down an additional 10% off the s
evablogger [386]

Answer:

$30

Step-by-step explanation:

30 % + 10 % = 40 %

40 % of $50 = $20

%50 - $20 = $30

8 0
3 years ago
PLEASE HELP!!!!! DUE TODAY!!!
Akimi4 [234]

Answer:

5

Step-by-step explanation:

Rental = $40

Catering = $12 per person

Budget = $100

Amount left after paying for the rental

= 100 - 40

= $60

Maximum number of guests

= 60 ÷ 12

= 5

5 0
2 years ago
Ji-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at 9:35 a.m.
iris [78.8K]

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

6 0
3 years ago
If anyone could help out with this one i would really appreciate it <br><br> f(2)=?
algol13

Answer:

f(2) = 0

Step-by-step explanation:

Function f(t) is defined in three different ways depending on the value of t.

For t = 8, function f(t) is -64/t.

For t = 10, function f(t) is 14 - t.

We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.

f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.

f(2) = 2^2 - 3(2) + 2

f(2) = 4 - 6 + 2

f(2) = 0

6 0
3 years ago
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