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4 years ago

I have no idea what I'm suppose to do... Please help me!

Mathematics

1 answer:

Mice21 [21]4 years ago

3 0

Basically 2^4 is 2 times 2 times 2 times 2..so 2 (4) times

2^4=16
2^3= 8

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A trains leaves Cincinnati at 2:00 pm.A second train leaves the same station in the same direction at 4:00 pm.The second train t

kvasek [131]

Answer:

Speed of first train = 36 mph

Speed of second train = 60 mph

Step-by-step explanation:

Given:

First train leaves Cincinnati at 2:00 PM

Second train leaves same station at 4:00 PM

Speed of second train is 24 mph faster than first train.

The second train overtakes the first at 7:00 PM

To find the speeds of each train.

Solution:

First train:

Let speed of first train be = $x\ mph$

Time of travel between 2:00 PM to 7:00 PM = $7-2=5\ h$

Distance traveled by 1st train in 5 hours in miles = $Speed\times time = x\times 5 = 5x$

Second train:

Then, speed of second train will be = $(x+24)\ mph$

Time of travel between 4:00 PM to 7:00 PM = $7-4 = 3\ h$

Distance traveled by second train in 3 hours in miles = $Speed\times time = (x+24)\times 3=3x+72$

At 7:00 PM both trains meet as the second train overtakes the first. This means the distance traveled by both the trains is same at 7:00 PM as they both leave from same stations.

Thus, we have:

$5x=3x+72$

Solving for $x$

Subtracting both sides by $3x$

$5x-3x=3x-3x+72$

$2x=72$

Dividing both sides by 2.

$\frac{2x}{2}=\frac{72}{2}$

∴ $x=36$

Speed of first train = 36 mph

Speed of second train = $36+24=$ 60 mph

3 0

4 years ago

The larger of two numbers is 8 more than three times the smaller number

9966 [12]

Answer:

The equation would be x = 3y + 8 where x is the larger number and y is the smaller one :)

6 0

3 years ago

The zeros of a quadratic function are -6 and -2. What is a possible vertex of the function? EXPLAIN YOUR ANSWER AND SHOW YOUR WO

Degger [83]

Answer:

(-4,-4)

Step-by-step explanation:

If the zeros of a quadratic function are -6 and -2, then it is:

(x+6)(x+2)

Expanding:

(x+6)(x+2)

=x^2+8x+12

To find the vertex, complete the square.

x^2+8x+12

=(x^2+8x+16)-16+12

=(x+4)^2-4

When the quadratic formula is written in the form y = a(x-h)^2+k, the vertex is (h, k).

(h, k)=(-4,-4)

3 0

4 years ago

What’s 60 divided by 10

hram777 [196]

Answer:

Step-by-step explanation:

60/10=6

7 0

3 years ago

Read 2 more answers

I mainly need help on 2 please thanks for the first one though

sleet_krkn [62]

2) 1 4/5

3) 2

4) 4 1/3

5) 3 4/8 or 3 1/2

6) 6 2/8

7 0

4 years ago