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Liono4ka [1.6K]

3 years ago

8

the sum of two numbers is 54. if the greatest number is reduced by 20 and the lesser number tripled the difference of the two wo

uld be six. what's the product of the two number

1 answer:

elena-s [515]3 years ago

4 0

Answer:

504

Step-by-step explanation:

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

$speed = \frac{2x+ 1260}{60}$

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

Can someone please teach me how to to this<br> Item: $30 Discount: 15%

seraphim [82]

Answer:

$25.5

Step-by-step explanation:

Sure, so the total of the

Item:

30 Dollars ($)

and the discount price is

15 percent (%)

So 30 times 0.15 because 30 is the price in total and 0.15 is the percentage but in a decimal form.

30 times 0.15 equals 4.5

4.5 is the amount that 15 % equals.

30 minus (-) 4.5 because once again the total is 30 and since we have a discount price then we minus (-) the discount price by the total and you get

A total with the discount price as 25.5 Dollars or $25.5

Hope this helps ;)

5 0

3 years ago

Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5

Anna35 [415]

Answer:

y= -5x +24

Step-by-step explanation:

<u>Slope-intercept form</u>

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -5, m= -5.

Substitute m= -5 into the equation:

y= -5x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation:

When x= 3, y= 9,

9= -5(3) +c

9= -15 +c

c= 9 +15

c= 24

Thus, the equation of the line is y= -5x +24.

5 0

2 years ago

(5x2 + 4x + 3) - (2x2 - 2x + 5)

Setler [38]

Answer:

3x^2+6x-2

Step-by-step explanation:

(5x2 + 4x + 3) - (2x2 - 2x + 5)

5x^2+4x+3-2x^2+2x-5

3x^2+6x-2

7 0

3 years ago

Which relation is a function.

GREYUIT [131]

Answer:

its B

Step-by-step explanation:

I just did it

7 0

3 years ago