All categories

2 years ago

Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Mathematics

2 answers:

Solnce55 [7]2 years ago

8 0

Answers:

a*b = 1/2

a/b = 8/9

=============================================================

Explanation:

The horizontal bar over the 6 means the 6 goes on forever

So we have a = 0.66666... which converts to the fraction a = 2/3

The b = 0.75 converts to b = 3/4

-------------------

We can then say

a*b = (2/3)*(3/4)

a*b = (2*3)/(3*4)

a*b = 6/12

a*b = 1/2

and

a/b = (2/3) divide by (3/4)

a/b = (2/3)*(4/3)

a/b = (2*4)/(3*3)

a/b = 8/9

Note how I flipped the second fraction when I changed from a division to a multiplication.

Natalija [7]2 years ago

7 0

Answer:

this is my best guess

3.75 and 0.5

You might be interested in

Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?

Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

$9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180$

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

6 0

2 years ago

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a ra

Sergeu [11.5K]

Answer:

$r=\sqrt{10}\text{ m}$

Step-by-step explanation:

We have been given that when a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. We are asked to find the approximate radius of tank in meters.

We will use volume of cylinder formula to solve our given problem as:

$V=\pi r^2h$ , where,

r = Radius,

h = Height of cylinder.

Since the level of water in the tank rises at a rate of 0.7 meters per hour, so height of cylinder would be $h = 0.7$ meters at $V=22\text{ m}^3$ .

Upon substituting these values in above formula, we will get:

$22\text{ m}^3=\frac{22}{7}\cdot r^2(0.7\text{ m})$

$22\text{ m}^3=\frac{22}{10}\cdot r^2\text{ m}$

$\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}=r^2$

$r^2=\frac{10}{22}\cdot\frac{22\text{ m}^3}{\text{m}}$

$r^2=10\text{ m}^2$

Now, we will take positive square root of both sides as radius cannot be negative.

$\sqrt{r^2}=\sqrt{10\text{ m}^2}$

$r=\sqrt{10}\text{ m}$

Therefore, radius of tank would be approximately square root of 10 m.

5 0

2 years ago

Are these ratios equivalent? 12 bouquets for every 20 corsages 9 bouquets for every 15 corsages?

ohaa [14]

Answer:

yes, they are

Step-by-step explanation:

3;5 = 6;10

4 0

2 years ago

There are 52 playing cards in a standard deck of cards. If Patrica selects a card at random, what is the probability that it wil

Alisiya [41]

Since there are two black queens out of 52 cards, there is a 2/52 chance of drawing a black queen first. This is equivalent to a 1/26 chance.

Now that we have removed a black queen, there are 51 cards left in the deck. 26 of them are red because we only took away a black card. This means that there is a 26/51 of drawing a red card next.

In order to find the probability of both of these happening, we multiply the two together. 1/26 * 26/51 = 26/1326. This reduces to 1/51. So, there is a 1/51 chance of drawing a black queen, then a red card.

8 0

2 years ago

Use fractions to solve this 5/10=1 /

strojnjashka [21]

Answer:

1/2

Step-by-step explanation:

5/10 = 0.5

0.5 = 4/8 = 3/6 = 2/4 = 1/2.

Whenever you see a fraction where the denominator is exactly twice as big as the numerator, you know that it equals 0.5 or the other fractions that equal 0.5

8 0

2 years ago