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3 years ago

A cab driver charges a 15 flat fee and 1.50 per mile. How many miles can you go with 30 dollars

1 answer:

7 0

Since it's 1.5 dollars per mile, you add 1.5 dollars for every mile and the amount of money total is 1.5m if m represents the amount of miles. In addition, since the flat tax is 15, you add 15 to it to get 1.5m+15. After that, since you only have 30 dollars, the amount of money is 30=15+1.5m. Subtracting 15 from both sides, we get 15=1.5m. Lastly, we divide both sides by 1.5 to get m=10

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The probability that the parking lot of a mall is full on a holiday is 0.19. The probability that it is a holiday is 0.29. What

dybincka [34]

Answer:

66%

Step-by-step explanation:

Use conditional probability.

P(full | holiday) = P(full AND holiday) / P(holiday)

P(full | holiday) = 0.19 / 0.29

P(full | holiday) ≈ 0.66

8 0

3 years ago

PLEASE HELP MEEEEE !!!!!! Like rn

Dovator [93]

Answer:

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Step-by-step explanation:

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3 years ago

The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i

kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.

Recall the formula for the sum of consecutive positive integers,

$\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2$

Now,

$1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016$

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

$\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224$

numbers, and their sum is

$\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400$

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of $1+9\times2=19$ .

So, the sum of the first 1234 terms in the sequence is 2419.

8 0

2 years ago

Need help with this question, thank you in advance!

blondinia [14]

Answer:

arc RP = 84 degrees

Step-by-step explanation:

If the angle NPQ is 102 degrees, we can find the angle NPM:

NPM + NPQ = 180

NPM + 102 = 180

NPM = 78 degrees.

Now, with the triangle NPM, we can find the angle MNP:

60 + 78 + MNP = 180

MNP = 180 - 60 - 78 = 42 degrees

The angle MNP is inscribed in the circle, and is related to the arc RP:

arc RP = 2 * MNP

arc RP = 2 * 42 = 84 degrees

3 0

3 years ago

Describe the two equations:<br> y=-3x + 2 and y = 2x - 3

tatuchka [14]

Answer:

(-4,2)

Step-by-step explanation:

3 0

2 years ago