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DedPeter [7]
3 years ago
10

A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance f

rom point A will the car catch up with the truck?
Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:

360 miles

Step-by-step explanation:

When the second car catches up with the first car they will have travelled the same distance which we call x miles.

Speed = distance / time

For first car   60  = x / t       where t = time taken

giving x = 60t

for second car   90 =  x / (t - 2)

giving x =  90t - 180

So equating these 2 equations

60t = 90t - 180

30t = 180

t = 6 hours

So x the distance  =  60t = 360 miles   answer

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There is a 10% off sale on laptop computers. If someone saves $35 on a laptop, what was its original cost?
IceJOKER [234]

Answer:

The original cost is $350

Step-by-step explanation:

Let's assume

original cost of computer is x

There is a 10% off sale on laptop computers

So, amount saved is

=\frac{10}{100}x=0.10x

now, we are given

someone saves $35 on a laptop

so, we can set them equal

and then we can solve for x

0.10x=35

we can divide both sides by 0.10

and we get

x=350

So,

The original cost is $350

4 0
3 years ago
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a
aev [14]

Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = \frac{12}{52}

Probability of getting a other card = \frac{40}{52}

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)(\frac{12}{52}) + (3)(\frac{40}{52})

                                  = \frac{192}{52} + \frac{120}{52}

                                  = \frac{312}{52}

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

4 0
3 years ago
Help giving brainly if correct show work to get full points ​
prohojiy [21]

Answer:

Step-by-step explanation:

This is an geometric series.

Common ratio = second number÷ first number

                       = \dfrac{4096}{-1024} = -4

To get the next number, 256 should be divide by (-4)

\dfrac{256}{(-4)}= -64 \\\\\\\dfrac{-64}{-4}=16\\\\\\\dfrac{16}{-4}=-4

The three numbers are : -64 , 16 , -4

6 0
2 years ago
How do I write an equation in standard form?
Aleks04 [339]
Do you mean scientific notation
5 0
3 years ago
Read 2 more answers
What is 47,300 in scientific notation?
agasfer [191]
There's always a decimal at the end of a whole number. here it's behind the last zero. move that decimal so that the non-zero digit is less than 10 but more than 1.
4.73, the decimal was moved 4 places to the left. so the scientific notation is
4.72X10^4
3 0
3 years ago
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