All categories

3 years ago

Which number would divide the numerator and the denominator of the first

Mathematics

2 answers:

harkovskaia [24]3 years ago

4 0

Answer:

2/2

Step-by-step explanation:

Let the numerator and denominator be x/x

10/12÷x/x=5/6

10x/12x=5/6

x/x=5/6÷10/12

x/x=5/6×12/10

x/x=2/2

Therefore the numbers are 2/2

UNO [17]3 years ago

4 0

Answer:

2/2

Step-by-step explanation:

To reduce a fraction, you have to divide it by a fraction with the equivalency of 1, since anything else would change the value of the fraction. In this instance, you know that you have the fraction 10/12, and you need to reduce it to 5/6. To do this, you must divide 10/12 by a fraction that equals 1 to create 5/6. Breaking it down, you can know that 10 divided by 2 is 5 and that 12 divided by 2 is 6. 2/2 is equal to 1, so that is the answer.

You might be interested in

Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

AVprozaik [17]

Answer:

The correct answer is 0.05882.

Step-by-step explanation:

A deck of cards have 52 cards, 13 cards of each suit.

We are drawing two cards without replacement.

We need to find the probability of getting a diamond as the first card.

Favorable outcomes are 13 and total number of outcomes are 52.

Thus this probability is $\frac{13}{52} = \frac{1}{4}$ .

Now for the next draw we again want to pick a diamond card.

Favorable outcomes are 12 and total number of leftover cards are 51.

Thus this probability is $\frac{12}{51}$ .

Now the probability that both cards are diamonds is $\frac{1}{4}$ × $\frac{12}{51}$ = $\frac{3}{51} = \frac{1}{17}$ = 0.0588235 ≈ 0.05882

4 0

3 years ago

The altitude of an airplane is decreasing at a rate of 42 feet per second. What is the change in altitude of the airplane over a

stira [4]

Answer:

D. -924 feet

Step-by-step explanation:

<h3><u>Necessary formula</u></h3>

For this problem, we'll need the relationship $d=vt$ where "d" is the distance traveled, "v" is the velocity the object is traveling, and "t" is the amount of time that it traveled.

<h3><u>Velocity Vectors</u></h3>

Velocity is a "vector" quantity, which has both a magnitude and a direction. The magnitude is the speed (42 feet per second) and the direction is downward. Collectively, the velocity is -42 feet per second. This will address the change in altitude and signify that the change in altitude is downward.

<h3><u>Units</u></h3>

All quantities should be using units that match.

In this case, the <u>distances</u> provided in the answers are all measured in <u>feet</u>, and the speeds are measured in <u>feet</u> per second, so the feet match.

Also, the <u>times</u> are measured in <u>seconds</u>, and the speeds are measured in feet per <u>second</u>, those also match.

<h3><u>Substitution & solve</u></h3>

<u /> $d=vt$

$d=(\frac{-42\text{ feet}}{\text{second}})(22\text{ seconds})$