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k0ka [10]
3 years ago
6

If y = x/k where k is a constant, and y = 5 when x = 30, what is the value of y when x = 60?

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

\huge\boxed{\sf y = 10}

Step-by-step explanation:

<u>Given Equation is:</u>

y = x / k

We know that y = 5 when x = 30

Put it in the above equation

5 = 30 / k

k = 30 / 5

k = 6

<u>Now,</u>

y = ? when x = 60

Put it in the above equation

y = x / k

y = 60 / 6

y = 10

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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You would have 30 coins,  6 dimes, 4 nickels, and 20 pennies.
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Atlanta and Cincinnati are 440 miles apart. John leaves Cincinnati for Atlanta while Pat leaves Atlanta for Cincinnati. John dri
Andrei [34K]

Answer:

28mph

Step-by-step explanation:

Let the speed at which Pat drives be xmph.

Now, we know John travels 32mph faster than Pat. Hence, John's speed is (x + 32)mph

The total distance is 440 miles.

Distance = Speed × Time

The distance traveled by each of them after 5 hours is given as follws;

Pat = 5 × x = 5x miles

John = 5(x + 32) miles

Now, if we add both distances, we get the total of 440 miles.

Hence, 5x + 5(x + 32) = 440

5x + 5x + 160 = 440

10x + 160 = 440

10x = 440 - 160 = 280

10x = 280

Hence, x = 280/10 = 28mph

4 0
3 years ago
Alicia wanted to lose some weight, so she planned a day of exercising. She spent a total of 3 hours riding her bike and jogging.
hram777 [196]

Using the relation between velocity, distance and time, it is found that her jogging rate was of 6 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time,</u> hence:

v = \frac{d}{t}

Jogging, her velocity was of v, while the time was of t, for a distance of 12 miles, hence:

v = \frac{12}{t}

Biking, her velocity was of v + 6, while the time was of 3 - t, for a distance of 12 miles, hence:

v + 6 = \frac{12}{3 - t}

v = \frac{12}{3 - t} - 6

Then:

\frac{12}{t} = \frac{12}{3 - t} - 6

\frac{12}{3 - t} - \frac{12}{t} = 6

\frac{12t - 36 + 12t}{t(3 - t)} = 6

18t - 6t² = 24t - 36

6t² + 6t - 36 = 0

t² + t - 6 = 0

(t + 3)(t - 2) = 0. -> t = 2 hours.

Hence her jogging rate in mph is given as follows:

v = \frac{12}{2} = 6

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

#SPJ1

5 0
2 years ago
What does 32.689 x 10³ =???
Ratling [72]

\huge\text{Hey there!}

\mathsf{32.689\times 10^3}

\mathsf{10^3}

\mathsf{= 10\times10 \times10}

\mathsf{= 100\times10}

\boxed{\mathsf{= \bf 1,000}}

\mathsf{32.689 \times1,000}

\boxed{\mathsf{= \bf 32, 689}}

\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

4 0
3 years ago
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