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Rudik [331]
3 years ago
15

Using b as the variable for the problem below, solve for b. Submit your answer as an inequality, using "<=" for or ">=" fo

r if necessary. Round to one decimal place. In a team bike race, each biker has to ride exactly 50 miles. If a team must complete 560 miles, at least how many bikers are on each team?
Mathematics
1 answer:
svp [43]3 years ago
7 0
Number of bikers: b

miles ridden by each biker: 50

number of miles ridden by the team: 50b

Condition: 50b ≥ 560

=> b ≥ 560 / 50

=> b ≥ 11,2

Given that b refers no number of persons it has to b an integer and b has to be at least 12

=> b ≥ 12.

If there would be 11 bikers the team only could complete 11*50 = 550 miles, so they cannot complete the required 560 miles.

Answer: b ≥ 12
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Answer:

42

Step-by-step explanation:

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks​
Iteru [2.4K]

Let

P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

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So, the base case is ok. Now, we need to assume P(n) and prove P(n+1).

P(n+1) states that

P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}

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3 years ago
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Answer:

z = \frac{8}{5}

Step-by-step explanation:

Calculate for the value of z :

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2(4z - 1) = 3(z + 2)

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5z - 2 = 6

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5z - 2 + 2 = 6 + 2

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-Take 5z and divide on both sides:

\frac{5z}{5} = \frac{8}{5}

z = \frac{8}{5}

Therefore, the value of z is \frac{8}{5}.

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3 years ago
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