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3 years ago

Jaylen just finished a 7 mile run. How long (in minutes) do you think it took Jaylen?

Mathematics

2 answers:

Alexxandr [17]3 years ago

3 0

Depends how fast she run in mile average is 8 min a mile so if she is consistent it would take here 56 min to an hour

Vilka [71]3 years ago

3 0

Answer:

I need how many miles he ran in a hour so i can turn it into min.

Step-by-step explanation:

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Train A leaves a station at 8:00 and travels at 100 km per hour towards the next city. One and a half hours later, Train B, an e

Anon25 [30]

Let t be time in hours.

Train A travels at 100 km per hour, so after t hours it will be 100t km from the station.

Train B travels at 160 km per hour, but it leaves the station one and a half hours later than train A, so its time is (t-1.5) hours. After (t-1.5) hours it will be 160(t-1.5) km from the station.

Train B will overtake train A when their distances from the station are equal.
$100t=160(t-1.5) \\
100t=160t-240 \\
100t-160t=-240 \\
-60t=-240 \\
t=\frac{-240}{-60} \\
t=4$

Train B will overtake train A after 4 hours since train A left the station. It left the station at 8:00, so train B will overtake it at 12:00.

6 0

3 years ago

How do compare ratios then simplify to find the answer

gogolik [260]

"Compare ratios" covers a lot of territory. If all you want to do is find which one is larger, you can subtract or divide.

(a/b) - (c/d) > 0 . . . . means a/b is larger

(a/b) / (c/d) > 1 . . . . means a/b is larger

These operations with fractions are done using the methods of arithmetic with fractions that you have been taught.

____

"Simplify" when applied to ratios usually means common factors are removed from each of the terms.

For example, the ratio 2:12 is a ratio of even numbers, so we know both numbers have a factor of 2. (2 is a factor common to both numbers.) When we divide them both by 2, we have the reduced ratio 1:6. That is, 2:12 simplifies to become 1:6.

(It is helpful to have a good working knowledge of multiplication tables when you approach problems in simplifying ratios.)

= = = = = = = = = =

In "quick and dirty" terms, you can do the subtraction ...

$\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}$

That is, you really only need to find out if (ad) > (bc) to determine if (a/b) > (c/d). A similar result is obtained when you consider division ...

$\displaystyle\frac{\left(\frac{a}{b}\right)}{\left(\frac{c}{d}\right)}=\frac{a}{b}\cdot\frac{d}{c}=\frac{ad}{bc}$

This will be greater than 1 if (ad) > (bc), signifying that (a/b) > (c/d).

_____

Here's an example with numbers.

... Compare 6/7 to 43/50.

... The relationship of interest will be revealed by the products 6·50 = 300 and 7·43 = 301.

... Since 300 < 301, these tell us 6/7 < 43/50.

_____

We say the above methods are "quick and dirty" because the results may need to be simplified when you're done.

For example, subtracting 1/6 from 1/2 gives

... 1/2 - 1/6 = (1·6 - 2·1)/(2·6) = 4/12

Here, numerator and denominator have a common factor of 4. Removing that gives 4/12 = 1/3.

Even if you do this by the method of common denominators, you still need to reduce the result.

... 1/2 - 1/6 = 3/6 - 1/6 = (3-1)/6 = 2/6

This must be reduced to 1/3 by removing a common factor of 2 from numerator and denominator.

3 0

3 years ago

Assuming that x=-2 and y=3 evaluate xy-x^3

meriva

(-2^3) = -8.
-2 times 3 = -6.

The expression is now -6 - (-8).

-6 + 8 = 2.

The answer should be 2.

4 0

2 years ago

What is the volume of the cylinder shown? Use 3.14 for pi. 4cm is the radius and 9cm is the height.

Irina18 [472]

Answer:

The formula is 4cm times 9cm which is 36cm. Then times that by pi which is 113.04. The answer is 113.04

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The two triangles below are similar. What is the similarity ratio of AABC to ADEF?

Dominik [7]

Answer:

2 : 1

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

AC : DF = 8 : 4 = 2 : 1

6 0

2 years ago