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Lynna [10]
4 years ago
13

You know the distance between two cities is 140 miles. What is the distance in kilometers?

Mathematics
2 answers:
Juli2301 [7.4K]4 years ago
7 0
The unknown is the distance in kilometres
The given is the distance in miles=140 miles
1 mile=1.6093km
140 miles=?
140/1*1.6093km=225.302km
Therefore the 140 miles in km is 225.302km
Marysya12 [62]4 years ago
6 0

Answer:

225.302 km.

Step-by-step explanation:

Given :The distance between two cities is 140 miles.

To Find: What is the distance in kilometers?  

Solution:

The distance between two cities = 140 miles

1 mile = 1.6093 km

140 miles = 140 \times 1.6093

               = 225.302

The distance between two cities in km = 225.302 km

Hence the distance in kilometers is 225.302 km.

So, Option C is true .

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The pair of variables x=–3, y=8 is the solution to the equation 5x+by=17. Find the coefficient b.
lidiya [134]

Answer:

Step-by-step explanation:

I think I have helped you before with this problem, substitute x and y with -3 and 8 respectively, so 5*(-3)+8b=17, -15+8b=17, 8b=32, divide both sides by 8 and you get b=4

7 0
3 years ago
Solve for x 3x +2= y; y=5. X=____
Leona [35]

Answer:

X=1

Step-by-step explanation:

Solve this like any other two step equation.

But first plug in y value.

3x + 2 = 5

Subtract 2 from each side

3x = 3

Now divide each side by 3

X=1

Hope this helps plz mark brainliest!

4 0
3 years ago
Read 2 more answers
An airplane pilot wants to climb from an altitude of 6000 feet to 16,000 feet. If the plane climbs at an angle of 9 degrees, wit
puteri [66]
So, the pilot goes from 6,000 to 16,000 or distance up of 10,000 feet
the plane is going at a speed of 22,000 per minute, namely, dx/dt = 22,000

so. .if you look at the picture below... we can simply use tangent
keeping in mind that, as the plane moves up and up, the angle is "constant", is never changing, whilst "y" and "x" and even "r" are changing, but we're not using "r" in this case.... we know what dx/dt is, we know the angle is a constant, this matters because the derivative of a constant is just 0

so, we really just need to find dy/dt then, because whilst dx/dt is telling us how fast is moving horizontally, dy/dt is telling us how long it took to cover those 10,000 feet

thus  \bf tan(\theta)=\cfrac{y}{x}\implies tan(\theta)=yx^{-1}\implies tan(9^o)=yx^{-1}\\\\
-----------------------------\\\\
0=\left( \cfrac{dy}{dt}\cdot \cfrac{1}{x} \right)+\left( y\cdot -\cfrac{1}{x^2}\cdot \cfrac{dx}{dt} \right)\implies 0=\cfrac{\frac{dy}{dt}}{x}-\cfrac{y\frac{dx}{dt}}{x^2}
\\\\\\


\bf \\\\\\
\cfrac{y\frac{dx}{dt}}{x^2}=\cfrac{\frac{dy}{dt}}{x}\implies \cfrac{y\frac{dx}{dt}}{x}=\cfrac{dy}{dt}
\\\\\\
\textit{so, what's "x" when y = 10000?}
\\\\\\
tan(9^o)=\cfrac{10000}{x}\implies x=\cfrac{10000}{tan(9^o)}\implies x\approx 63175.5

once you find what dy/dt is... you can simply do a quick conversion for the 10,000 feet, to see how many minutes it took

4 0
3 years ago
A batch of 330 samples of rejuvenated mitochondria contains 6 that are mutated (or defective). Two are selected from the batch,
Leno4ka [110]

Answer:

(a) Probability = 0.01520

(b) Probability = 0.00028

(c) Probability = 0.96391

Step-by-step explanation:

Total mitochondria = 330

Defective = 6

(a) Without replacement, if the first selection contains a defective mitochondria, we have a total of 5 defective remaining from a total of 329 mitochondria. Thus the probability the second one is defective Given the first one was defective will be :

Probability second is defective given the first one is not = 5 / 329 = 0.01520

(b) The probability the first is defective is : 6 / 330 = 0.01818

The probability the second is defective (without replacement) = 5 / 329 = 0.01520

The probability both are defective = 0.01818 * 0.01520 = 0.00028

(c) Probability the first one is acceptable = 324 / 330 = 0.98182

Probability the second one is acceptable = 323 / 329 = 0.98176

Probability both are acceptable = 0.98182 * 0.98176 = 0.96391

3 0
4 years ago
The hour hand of a clock is 6 inches long and the minute hand is 8 inches long. What is the ratio of the distance in inches trav
kirill115 [55]

Answer:

the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.

Step-by-step explanation:

The given information is:

  • length of the hour hand, l = 6 inches
  • length of the minute hand, b = 8 inches

Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:

s₁ = r θ

s₁ = (8)(π/2)

s₁ = 4π inches                                                                      

The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.

Therefore, in 30 minutes the hour hand moves a distance of:

s₂ = r θ

s₂ = 6(30×1/2×π/180)

s₂ = π/2 inches                                                                              

Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:

s₂ / s₁ = (π/2) / 4π

<em>s₂ / s₁ = 0.125</em>

7 0
4 years ago
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