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Ivenika [448]
3 years ago
6

Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It

took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

The old tower has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

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Y = –5x + 30<br> x = 10<br> What is the solution to the system of equations?
PtichkaEL [24]

Answer:

x=10, y = -20

Step-by-step explanation:

y = –5x + 30

x = 10

Substitute the second equation into the first

y = –5*10 + 30

y = -50 +30

y = -20

x=10, y = -20

8 0
3 years ago
Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d
Kitty [74]

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not.  If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99.  If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!).  The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

5 0
3 years ago
A mass oscillating up and down on the bottom of a spring can be modeled as harmonic motion. if they weight is displaced a maximu
snow_tiger [21]

9514 1404 393

Answer:

  1.63 cm (across the centerline from release)

Step-by-step explanation:

If we assume time starts counting when we release the weight from its fully-extended downward position, then the position at 1.15 seconds can be found from ...

  h(t) = -7cos(2πt/4)

  h(1.15) = -7cos(π·1.15/2) = -7(-0.233445) ≈ 1.63412 . . . cm

That is, 1.15 seconds after the weight is released from below the resting position, it will be 1.63 cm above the resting position.

__

If it is released from <em>above</em> the resting position, it will be 1.63 cm <em>below</em> the resting position at t=1.15 seconds.

6 0
3 years ago
If H be the H.M. between a and b.<br> prove that 1/H-a + 1/H-b = 1/a+1/b​
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3 0
2 years ago
Priscilla can make 3 bracelets in 15 minutes. At this rate, how many bracelets can she make in 30 minutes?
BigorU [14]

Answer:

6 bracelets

Step-by-step explanation:

If she can make 3 in 15, just multiply by 2 to get 30 minutes. Therefore she can make 6 bracelets in 30 minutes.

7 0
2 years ago
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