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GaryK [48]
3 years ago
10

An office manager booked 61 airline tickets. He booked 8 more tickets on Airlines A than Airlines B. On Airlines​ C, he booked 5

more than twice as many tickets as on Airlines B. How many tickets did he book on each​ airline?
Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

B = 12

A =  20

C =  29

Step-by-step explanation:

A = tickets on airline A

B = A-8

C = 2B +5

Total = 61

A + B+ C = 61

Taking B = A -8 and writing in terms of A  

A = B+8

Replacing A and C in the equation A + B+ C = 61

( B+8) + B + 2B +5  = 61

Combining like terms

4B +13 = 61

Subtract 13 from each side

4B =13-13 = 61-13

4B =48

Divide by 4

4B /4 = 48/4

B = 12

A = B +8 = 12+8 = 20

C = 2B +5 = 2*12+5 = 24+5 = 29

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Answer:

1/8

Step-by-step explanation:

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We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

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Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

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What is the exact value of x in the exponential equation 2^5x − 57 = 43?
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