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3 years ago

5 1/4 takeaway 1 1/3 (please write answer as a mixed number)

2 answers:

5 0

The problems are quite easy to solve once you know the trick! I prefer to make mine improper fractions first, and then after solving turn it back into a mixed number. When you turn it into an improper fraction, you will have 21/4+4/3. Then, you can find the least common factor, which is 12, and multiply the numerator and denominator to make the denominator 12. Afterwards, you simply add the numerators, giving you 79/12. Finally, we must turn this back into a mixed number, so our final answer is 6 7/12.

sertanlavr [38]3 years ago

3 0

5 1/4 - 1 1/3 =
21/4 - 4/3 =
63/12 - 16/12 =
47/12 =
3 11/12 <==

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Find the value of $x$ so that the ratios are equivalent.<br><br> x:5/2 and 8:10

Scrat [10]

Answer:

x=2

Step-by-step explanation:

Here what we need is that the ratios be equal, which is:

x:(5/2) = 8:10 or, what is the same:

x/(5/2) = 8/10

Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:

2x/2(5/2) = 2x/5

Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:

2(2x)/2(5) = 4x / 10

So, we transformed x/(5/2) in 4x/10, and both are the same, so we can replace it on our first equation:

4x/10 = 8/10

As both denominators are equal, we can concentrate only in numerators:

4x = 8

Dividing both sides by 4:

x = 2

So, for x=2 both ratios are equivalents.

4 0

3 years ago

The sum of the measures of three adjacent angles is 150°. The measures of the angles are in the ratio of 1:2:3. What is the mea

stellarik [79]

Answer:

14•4°

step by step explanation:

ratio=1:2:3=6

angles in degree=150°

6/150°×360°(simplify)

6/5°×12°

=72°/5°

=14•4°

The largest angle=14•4°

Thanks hope it helps

8 0

3 years ago

:(((( i can't get this one! Please help...

ValentinkaMS [17]

Answer:

4877 fish

Step-by-step explanation:

Each year, the fish population is multiplied by 1-6% = 0.94, so after 8 years it has been multiplied by 0.94^8 ≈ 0.609569.

At that time, the population is ...

8000×0.609569 ≈ 4877 . . . fish

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3 years ago

rock is thrown upward with a velocity of 27 meters per second from the top of a 23 meter high cliff and it misses the cliff on t

ahrayia [7]

the rock will be at 11 meters from the ground level after 5.92 seconds

Step-by-step explanation:

The motion of the rock is a free-fall motion, since the rock is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, so its position at time t is given by the equation:

$y=h+ut+\frac{1}{2}at^2$