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Gwar [14]
3 years ago
12

IF JOHN RAN A 5-KILOMETER MARATHON HOW LONG WAS THAT IN METERS?

Mathematics
1 answer:
lesya [120]3 years ago
7 0
A kilometer is composed of 1000 meters. The term "kilo" means "a thousand."

So 5 kilometers means 5 1000 meters, thus it is equal to 5,000 meters.

1 km = 1000 meters

5 km * 1000 m / km = 5 * 1000 m = 5,000 meters

1 m = 0.001 km

5 km * 1m/0.001km = 5 m / 0.001 = 5,000 meters
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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
beks73 [17]
So, how much acid is there in 6 gallons?  well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it?  well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it?  (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}
3 0
3 years ago
During an outbreak of the flu, a hospital recorded 24 cases the first week, 84 cases the second week, and 294 cases the third we
Ksenya-84 [330]
Take the # in the last week and times it by 3.5 than you should get the next week. ex: if you wanted to find the 9th week you could do 84 times 3.5 8 times

8 0
3 years ago
Read 2 more answers
Determine the current through each of the LEDs in the circuits below. Which LED will be
Anika [276]

a. I = 6. 1 × 10^-4 A

b. I = 2. 6 × 10^-3 A

c. I = 0. 04 A

The LED which would glow brightest is LED C with the greatest current and voltage

The LED which would be the most dim is LED B with low voltage and consequently low current.

<h3>How to determine the current</h3>

The formula for finding current

I = V/R

Where v = voltage

R = resistance

A. V = 12V

R = 4. 7 + 15 = 19. 7 kΩ = 19700 Ω in series

I = \frac{12}{19700}

I = 6. 1 × 10^-4 A

B. V = 9V

R = 4. 7 + 1 = 4. 7 kΩ = 4700Ω in series

I = \frac{12}{4700}

I = 2. 6 × 10^-3 A

C.  V=  12V

1/R = \frac{1}{750} + \frac{1}{1200} + \frac{1}{950 } = 3. 22 × 10^-3

R = \frac{1}{3. 22 * 10 ^-3} = 310. 56 Ω

I = \frac{12}{310. 56}

I = 0. 04 A

It is important to note that the brightness of a bulb depends on both current and voltage depending on whether the bulb it is in parallel or series.

The LED which would glow brightest is LED C with the greatest current and voltage

The LED which would be the most dim is LED B with low voltage and consequently low current.

Learn more about Ohms law here:

brainly.com/question/14296509

#SPJ1

8 0
1 year ago
Is 0.78 a rattional number
ipn [44]

Answer:

Yes

Step-by-step explanation:

A rational number can be expressed as a quotient of two integers. Therefore 78/10 = 39/5 = 0.78 represents a rational number between 7.7 and 7.9. Answer: 39/5

8 0
2 years ago
Read 2 more answers
What expression has the greatest value of if x=8
Elenna [48]

Answer:

d) 10-x

Step-by-step explanation:

replace x with 8 will make it equals 2, which is the greatest value

7 0
2 years ago
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