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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
You might be interested in
Evaluate the expression 11C4.
kicyunya [14]

The correct answer is: 330

Explanation:

The formula for combination is given as follows:

^nC_r = \frac{n!}{r! (n-r)!} --- (1)

Where n = 11

r = 4

Plug in the values in equation (1) and calculate:

^nC_r = \frac{n!}{r! (n-r)!} \\ ^{11}C_{4} = \frac{11!}{4! (11-4)!} \\ ^{11}C_{4} = \frac{11*10*9*8*(7!)}{4! (7)!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4*3*2*1} \\ ^{11}C_{4} = 330 \\

Hence the correct answer is 330.

8 0
2 years ago
Read 2 more answers
What’s the answer does anyone know?
Alexus [3.1K]

56.57

Explanation:
In the process,
Diameter= 18,
Radius(r)=
18
2

∴
Radius= 9
Now,
Circumference (Perimeter) = ?
According to the formula,
Perimeter= 2
×
22
7
×
r

Taking the equation,
Perimeter= 2
×
22
7
×
r

2
×
22
7
×
9

396
7

56.57142857

56.57

Let's hope this helps you:)
8 0
2 years ago
Read 2 more answers
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
rewona [7]

Answer:

Alternate Interior angles

Explanation: Usually an angle of elevation is less than or equal to 90°. ... As a result the angles of elevation and depression are alternate (interior) angles. Since the transversal intersects two parallel lines, and alternate interior angles are congruent, the angle of elevation and angle of depression must also be congruent.

3 0
3 years ago
Can I get help with these too? Thank you!!!!!
Anastasy [175]
For ABC:

The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54

The measure of angle ABC = x - 5 = 54 - 5 = 49

For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21

The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
7 0
3 years ago
V = e^3 when e = 7 please help me​
Nuetrik [128]

Answer:

343

Step-by-step explanation:

7^3=7×7×7=343

If e is equal to 7 just multiply 7 by 7 and then multiply that answer by 7 to find 7 to the power of 3.

7 0
3 years ago
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