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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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State the gradient of the line perpendicular to the line y=3x-2
kherson [118]

Answer:

-1/3

Step-by-step explanation:

3 is the gradient of the other line

m1×m2=-1 (equation for perpendicular lines)

m1×3= -1

m1= -1/3

Pls confirm if its correct

correct me if wrong

thanks! :)

7 0
2 years ago
13 ? start fraction, 13, divided by, 10, end fraction of a number is what percentage of that number?
zubka84 [21]

Answer:

The percentage is 130\%

Step-by-step explanation:

Let

x-----> the number

we have

\frac{13}{10}x=1.3x

To find the percentage multiply by 100

1.3*100=130\%

7 0
2 years ago
Integrate x+1/sqrt(x). I know that the answer is 2/3 • sqrt(x) • (x+3) + C, but I don't know how it is simplified from 2/3 • x^3
Andreas93 [3]

\displaystyle\int\frac{x+1}{\sqrt x}\,\mathrm dx=\int\frac x{x^{1/2}}+\frac1{x^{1/2}}\,\mathrm dx

=\displaystyle\int x^{1/2}+x^{-1/2}\,\mathrm dx

By the power rule,

=\dfrac{x^{3/2}}{\frac32}+\dfrac{x^{1/2}}{\frac12}+C

(this seems to be the step you're not getting?)

=\dfrac23x^{3/2}+2x^{1/2}+C

The next step is to pull out a common factor of x^{1/2} from the antiderivative:

x^{3/2}=x^{1/2+1}=x^{1/2}\cdot x^1

so that the final result is

\dfrac23x^{3/2}+2x^{1/2}+C=\dfrac23x^{1/2}(x+3)+C

3 0
3 years ago
2x-1+3x=0 5x-1=0 how can we get equation b from a
cluponka [151]
2x - 1 + 3x = 0
2x + 3x - 1 = 0
(2 + 3)x - 1 = 0
5x - 1 = 0
7 0
2 years ago
Can you tell i'm panicking? ^^"
Archy [21]
ANSWER:
The right option is d)
As 5*1=5
5*3=15
5*4=20

HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!
4 0
3 years ago
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