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2 years ago

Need help. Please need information

Mathematics

1 answer:

emmasim [6.3K]2 years ago

7 0

Answer:

balance is 839.54

Step-by-step explanation:

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Two trains leave stations 546 miles apart at the same time and travel toward each other. One train travels at 95 miles per hour

Ira Lisetskai [31]

Answer:

It will take 2 hours 36 minutes for the two trains to meet.

Step-by-step explanation:

The distance between the two trains is decreasing by $95+115= 210$ miles per hour, which can be written as $\frac{210 miles}{1 hour}$ .

So at this rate, the distance between the trains will be reduced to zero in:

$\frac{546 miles}{\frac{210 miles}{1 hour} } = 476 miles * \frac{1 hour}{210 miles}$

$= \frac{546}{210} = 2.6 hours$

Changing 2.6 hours to hours and minutes:

$2 hours + 0.6 hours = 2 hours + (0.6 * 60) = 2 hours + 36 minutes$

Therefore, it will take 2 hours 36 minutes for the two trains to meet.

6 0

2 years ago

Half of G Multiplied by t squared is equal to its area A divided by its width w

natima [27]

Half of G Multiplied by t squared is equal to its area A divided by its width w is written as

$\frac{1}{2} G \times {t}^{2} = \frac{A}{W}$

$\frac{1}{2} G {t}^{2} = \frac{A}{W}$

4 0

3 years ago

Identify the constant of proportionality in the equation. 3y = 15x

sasho [114]

Answer:

Step-by-step explanation:

For direct variation y=kx, where k is the constant of proportionality

We need to get the equation in this form

3y = 15x

Divide each side by 3

3y/3 =15x/3

y = 5x

The constant is 5

3 0

2 years ago

Which set of angle measures can be used to construct an acute scalene triangle?

Doss [256]

Answer:

C = 36°, 57°, 87°

Step-by-step explanation:

scalene = all angles are different.

acute = all angles are under 90°.

triangle = all angles add up to 180°.

The only option that works for this is C) 36°, 57°, 87°

6 0

2 years ago

Your school’s baseball team sells 1250 raffle tickets at $4 each. The grand prize is a $3000 boat. The second prize is a $450 gr

densk [106]

Answer:

The expected value of the winnings for a single-ticket purchase is -$1.0016.

Step-by-step explanation:

The total number of tickets sold is, N = 1250.

Cost of one ticket is, $4.

Let X = amount of prize.

The prize distribution is as follows:

1 Grand price = $3000

1 Second prize = $450

10 Third prize = $25

The expected value X can be computed using the formula:

$E(X)=\sum x.P(X)$

Compute the probability distribution of X as follows:

Prize Amount (X) P (X) x · P (X)

1 Grand prize $3000 $\frac{1}{1250}=0.0008$ $\$3000\times 0.0008=2.4$

1 Second prize $450 $\frac{1}{1249}=0.0008$ $\$450\times 0.0008=0.36$

10 Third prize $25 $\frac{10}{1248}=0.008$ $\$25\times 0.008=0.2$

No prize -$4 $1-\sum P(Win)\\=0.9904$ $-\$4\times 0.9904=-3.9616$

TOTAL 1.0000 -1.0016

Thus, the expected value of the winnings for a single-ticket purchase is -$1.0016.

5 0

3 years ago