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klio [65]
3 years ago
8

The time, t, required to travel a fixed distance varies inversely as the

Mathematics
1 answer:
Lemur [1.5K]3 years ago
4 0

You must travel at 42 mph for 4 hours

<em><u>Solution:</u></em>

Time varies inversely as rate of motion

Let "t" be the time required

Let "r" be the rate of motion

Then, we get

t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1

Where, "k" is the constant of proportionality

<em><u>You travel 3 hours at a rate of 56 mph</u></em>

Substitute t = 3 and r = 56 in eqn 1

3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168

<em><u>Find the  rate you must travel for 4 hours</u></em>

r = ? and t = 4

Substitute t = 4 and k = 168 in eqn 1

4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42

Thus you must travel at 42 mph for 4 hours

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Answer:

<h2>5, 7, 11</h2>

Step-by-step explanation:

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

A prime number has only two divisors: 1 and itself.

Therefore, the prime numbers are:

5, 7 and 11.

12 is not a prime because 12 = 2 × 6 = 3 × 4.

12 has six divisors: 1, 2, 3, 4, 6 and 12.

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3 years ago
Circumference of a circular disc is 157 cm, find its radius​
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2 years ago
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Choose the correct simplification of 8x2(5x 2x2 − 3). 16x4 − 40x3 24x2 16x4 40x3 − 24x2 40x4 16x3 − 5x2 40x4 − 10x3 5x2
yKpoI14uk [10]

The correct simplification of 8x2(5x 2x2 − 3) is 16x^{4} +40x^{3} -24x^{2}

<h3>What do you mean by simplification?</h3>
  • Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
  • Making anything simpler is the act or process of simplification. Everyone is in favor of streamlining court procedures.
  • Certain "solving" issues are connected to "simplification" issues. Parentheses and even nested grouping symbols can be found in some equations, just like in some expressions. Whether we're working with equations (so we're also solving) or expressions (and only simplifying), the simplification procedure is the same in both cases.

The correct simplification of 8x2(5x 2x2 − 3).

8x^{2} (5x+2x^{2+1} -3)=8*2x^{2+2} -8*3x^{2}

                                =40x^{3} +16x^{4} -24x^{2}

Rearranging the above expression in descending order of power, we get:16x^{4} +40x^{3} -24x^{2}

The correct simplification of 8x2(5x 2x2 − 3) is 16x^{4} +40x^{3} -24x^{2}

To learn more about simplification, refer to:

brainly.com/question/723406

#SPJ4

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2 years ago
A jar contains 0.85 liter of strawberry juice and 0.50 liter of mango juice. Celina poured 0.15 liter of watermelon juice into t
steposvetlana [31]

Original-drank+added=result

orignail=stwabery+mango+watermelon

original=0.85+0.50+0.15=1.5liter

drank=0.3

orignail-drank=result

1.5-0.3=drank=1.2liter

A. see above

B. addition and subtraction facts

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3 years ago
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Emily is trying to rewrite 45 - 27 as the product of the GCF of the two numbers and
Karolina [17]
No, it won’t work. The greatest common factor between 45 and 27 is 9, but 45-27=18. So it cannot work.
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