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3 years ago

Martino drove 1,734 miles in 34 hours. What was his average speed for e trip, in miles per hour?

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Answer:

51 mph

Step-by-step explanation:

1734 miles

---------------- (per)

34 hours

you would divide. think of it as a fraction

1734

----

the numerator is miles and the denominator is hours. divide the numerator (the top number) by the denominator (the bottom number).

1734/34= 51

therefore, martino drove 51 miles per hour

Hope this helps!

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A company offers a raffle whose grand prize is a $35,000 new car. Additional prizes are a $1,100 television and $600 computer. T

anastassius [24]

Answer:

-$ 10.13

Step-by-step explanation:

Given,

The cost price of each ticket = $ 22,

So, the value of each ticket other than price ticket = - $ 22, ( negative sign shows loss,i.e. if we don't get the price we will have the loss of $ 22 )

Now, there are 3 tickets in which first is of $35,000 price, second is of $1,100 and third is of $ 600,

So, the value of first ticket = 35000 - 22 = $ 34978,

Value of second ticket = 1100 - 22 = $ 1078,

Value of third ticket = 600 - 22 = $ 578,

Also,

$\text{Probability}=\frac{\text{Favourable outcome}}{\text{Total outcome}}$

Hence, by the above information we can make a table for the given situation,

Number 2997 1 1 1

Price -$ 22 $ 34978 $ 1078 $ 578

Probability 2997/3000 1/3000 1/3000 1/3000

Therefore, the expected value of a ticket

$=-22\times \frac{2997}{3000}+34978\times \frac{1}{3000}+578\times \frac{1}{3000}$

$=-$10.126$

≈ - $ 10.13

5 0

3 years ago

The expression 24y+36 represents the cost of a dozen eggs. Use factoring to write an expression that is equivalent to 24y+36. Th

andriy [413]

$12eggs \: = 24y + 36 \\ 1egg \: = \frac{24y + 36}{12} \\ = 2y + 3$

5 0

3 years ago

If you were to flip a coin 10 times, what is the probability that it will land on heads exactly 7 out of 10 times?

bezimeni [28]

Answer:

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

Step-by-step explanation:

We can use basic binomial distribution, which is given by the formula:

$\displaystyle P(x) = {n \choose x}p^xq^{n-x}$

Where n represent the number of trials, x represent the number of successes desired, p represent the chance of success, and q represent the chance of failure.

Since we are flipping a coin 10 times, we are conducting 10 trials. So, n = 10.

We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes x is 7.

The probability of success p is 1/2.

And the probability of failure q is also 1/2.

Substituting:

$\displaystyle P(7)={10 \choose 7}\left(\frac{1}{2}\right)^7\left(\frac{1}{2}\right)^3=120\left(\frac{1}{2}\right)^{10}=\frac{120}{1024}=\frac{15}{128}\approx0.1172$

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.

8 0

3 years ago

How do you solve: Tori needed to take a taxi. The fare for

shepuryov [24]

Answer: The required number of miles rode is 4.6875.

Step-by-step explanation: We are given to solve the following situation for the value of d :

Tori needed to take a taxi. The fare for riding in a taxi is a $3 fixed charge and $0.80 per mile. The fare for a ride of d miles is $6.75.

According to the given information, we have

$3+0.80d=6.75\\\\\Rightarrow 0.80d=6.75-3\\\\\Rightarrow 0.80d=3.75\\\\\Rightarrow d=\dfrac{3.75}{0.80}\\\\\Rightarrow d=4.6875.$

Thus, the required number of miles rode is 4.6875.

6 0

3 years ago

Ray is in debt $32 right now. He used to owe more, but he has been paying $6 a month on his debt for the last five months. How m

STALIN [3.7K]

$62, was his debt 5 months ago.
If he's paying $6 dollars each month, and 5 months has passed; multiply 6 by 5 and you get 30.
He has paid $30 dollars already, and still has $32 left to pay.
Add them up for the total, $32 + $30 = $62.

7 0

3 years ago

Martino drove 1,734 miles in 34 hours. What was his average speed for e trip, in miles per hour? ​

Martino drove 1,734 miles in 34 hours. What was his average speed for e trip, in miles per hour?