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motikmotik
3 years ago
7

Curt and Ian both ran a mile. Curt time was 8/9 of Ian time. Who ran faster?

Mathematics
2 answers:
Leona [35]3 years ago
5 0

Curt because if his time was 8/9 of Ian's time then that means he ran the mile in a fraction of Ian's time, so he finished the mile quicker. Curt ran faster.

Snezhnost [94]3 years ago
5 0

Answer:

Curt

Step-by-step explanation:

A shorter run time indicates a greater speed.  Curt's time was shorter than Ian's, so we conclude that Curt ran faster.

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For some reason it says square but please help! I need to know step by step what to do.
quester [9]

Answer:

8.06 inches

Step-by-step explanation:

The diagram shows a rectangle with width of 4 inches and area of 28 square inches.

Use area formula:

A_{\text{rectangle}}=\text{Width}\times \text{Length}

So,

28=4\times \text{Length}\Rightarrow \text{Length}=\dfrac{28}{4}=7\ \text{inches}

By the Pythagorean theorem,

\text{Diagonal}^2=\text{Width}^2+\text{Length}^2\\ \\\text{Diagonal}^2=4^2+7^2\\ \\\text{Diagonal}^2=16+49\\ \\\text{Diagonal}^2=65\\ \\\text{Diagonal}=\sqrt{65}\approx 8.06\ \text{inches}

7 0
2 years ago
A bacterial culture starts with 400 bacteria and grows at a rate proportional to its size. After 2 hours there will be 800 bacte
kotykmax [81]

Answer:

  1. P(t) = 400×2^(t/2)
  2. 6400
  3. 5.0

Step-by-step explanation:

The wording "a rate proportional to its size" is an indication that growth (or decay) is exponential.

1) For many problems involving exponential growth, I like to use the numbers given in the problem statement as follows.

  population = (initial population) × (growth factor)^(t/(growth period))

where the "growth period" is the period of time in which the population is multiplied by the "growth factor".

Here, we're given ...

  (initial population) = 400

  (growth factor) = 800/400 = 2

  (growth period) = 2 . . . . hours

So, our population function can be written as ...

  P(t) = 400×2^(t/2)

__

2) Putting t=8 into the formula, we get ...

  P(8) = 400×2^(8/2) = 400×16 = 6400

After 8 hours, the population will be 6400.

__

3) Fill in the given number and solve for t.

  2270 = 400×2^(t/2)

  2270/400 = 2^(t/2)

Taking logs, we have ...

  log(227/40) = (t/2)log(2)

  t = 2×log(227/40)/log(2) ≈ 5.009

After 5.0 hours, the population will reach 2270.

7 0
3 years ago
The temperature is 20 degrees below zero. What numerical value represents the temperature?
luda_lava [24]

Answer:

-20

Step-by-step explanation:

8 0
2 years ago
Nadine is constructing a line perpendicular to KE←→ . She has constructed the arcs as shown. What is the next step in her constr
Margaret [11]
The correct answer is "Draw a straight line from D to M". In order to draw a perpendicular line to line KDE you need to create two acrs that intersect above or below KDE. This is illustrated by the point M. This is the point that will create a perpendicular line and intersect KDE at a 90 degree angle. 
5 0
3 years ago
Read 2 more answers
Catherine paid $185.30 for an MP3 player. If the price paid includes a 9% sales tax, which of the following equations can be use
Wittaler [7]

y = $185.30

x = the orignal cost minus 9% or .09. To increase an objects value by 9% you need to multiply by 1 + .09 or 1.09. So, x being increases by 9% would equal y or $185.30

1.09x = y

1.09x = $185.30

Divide both sides by 1.09

x = $170

8 0
2 years ago
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