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3 years ago

Explain how you can use multiplication to find the quotient 3/5÷3/15 then evaluate the expression.

2 answers:

5 0

In order to solve this problem you need to keep change flip. You keep the first term (3/5) the same. Then you change the sign from division to multiplication then flip the 3/15 so its 15/3. Then you can simplify because the 5 and 15 share a factor (5). You can do the same things with the 3's. This the problem is now 1/1 * 3/1 which means the answer is 3 :) hope this helped

Gnoma [55]3 years ago

3 0

$\frac{\frac{3}{5}}{\frac{3}{15}}$
well, first simplify
$\frac{\frac{3}{5}}{\frac{1}{5}}$
multiply the whole thing by $\frac{\frac{5}{1}}{\frac{5}{1}}$

$(\frac{\frac{3}{5}}{\frac{1}{5}})(\frac{\frac{5}{1}}{\frac{5}{1}})=$

$\frac{(\frac{3}{5})(\frac{5}{1})}{(\frac{1}{5})(\frac{5}{1})}=\frac{\frac{15}{5}}{\frac{5}{5}}=\frac{\frac{3}{1}}{1}=\frac{3}{1}=3$

dats how you use multiplicaton to simplify fraction

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Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0

3 years ago

Ryan has 8 kittens. Two are white. Julie has 4 kittens. The fraction of the kittens that are not whites the same for Ryan and Ju

Studentka2010 [4]

Answer:

2/4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How to do this question

blsea [12.9K]

This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them.
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3

r is the radius which is half of the diameter.
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]

I hope this helps

8 0

3 years ago

What is the pattern in this sequence?<br><br> 0.001,0.01,0.1,1

chubhunter [2.5K]

Answer:

The one moves up a tenth until it gets to 1.

Step-by-step explanation:

8 0

3 years ago

Simplify the following expression by distributing. Then, combine any like terms.

yanalaym [24]

Answer:

2p-30

Step-by-step explanation:

10p-40-8p+10

=2p-30

8 0

2 years ago