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3 years ago

The quotient of ten to the seventh power and ten cubed?

Mathematics

1 answer:

yulyashka [42]3 years ago

7 0

$Use:\ a^n:a^m=a^{n-m}\\\\10^7:10^3=10^{7-3}=10^4\\\\10^4=10\times10\times10\times10=10,000$

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AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$

⇒ Time traveled by walking = $\frac{1}{x}$

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = $\frac{1}{2x}$

Now,

Given that - he cycles one and a half times as fast as he runs.

⇒Speed of cycling = $\frac{3}{2}$ (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = $\frac{1}{3x}$

Now,

Total time traveled = Time traveled by walking + running + cycling

= $\frac{1}{x}$ + $\frac{1}{2x}$ + $\frac{1}{3x}$

= $\frac{6+3+2}{6x} = \frac{11}{6x}$

If he cycled the three mile , then total time taken = $\frac{1}{3x}$ + $\frac{1}{3x}$ + $\frac{1}{3x}$ = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = $\frac{11}{6} x$

⇒ $x - \frac{11}{6} x = -10$

⇒ $-\frac{5}{6}x = -10$

⇒x = $\frac{60}{5}$ = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = $\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22$ min

7 0

2 years ago

The graph represents the balance of Harrison’s car loan in the months since purchasing the car. A coordinate plane showing Car L

Marina CMI [18]

Answer:

Step-by-step explanation:

its the answer

5 0

3 years ago

4x + 3y = 16 7x+6y=31 O A. (1,3) B. (1.4) C. (4,0) OD. (4,3) SUBMIT

klasskru [66]

Answer:

Step-by-step explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the term in y

- 8x - 6y = - 32 → (3)

Add (2) and (3) term by term

- x = - 1 ( multiply both sides by - 1 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

4(1) + 3y = 16

4 + 3y = 16 ( subtract 4 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is (1, 4 ) → B

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3 years ago

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melamori03 [73]

All you gotta do is a bunch of dividing and multiplying

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3 years ago

Lauren read a total of 44 books over 11 months. After belonging to the book club for 21 months, how many books will Lauren have

GaryK [48]

Answer:

Step-by-step explanation:

Lauren has read 4 books per month. So the answer would be 84.

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2 years ago