Choose a method then find the product 16 * 60

Gekata [30.6K]

Answer:

$\large\boxed{\dfrac{\boxed{8}}{81}}$

Step-by-step explanation:

$\text{If}\ a_1,\ a_2,\ a_3,\ a_4,\ ...,\ a_n\ \text{is the geometric sequence, then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=constant=r-\text{common ration}.\\\\\text{We have}\ \dfrac{1}{2},\ \dfrac{1}{3},\ \dfrac{2}{9},\ \dfrac{4}{27},\ ...\\\\\dfrac{\frac{1}{3}}{\frac{1}{2}}=\dfrac{1}{3}\cdot\dfrac{2}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{2}{9}}{\frac{1}{3}}=\dfrac{2}{9}\cdot\dfrac{3}{1}=\dfrac{2}{3}\\\\\dfrac{\frac{4}{27}}{\frac{2}{9}}=\dfrac{4}{27}\cdot\dfrac{9}{2}=\dfrac{2}{3}$

$\bold{CORRECT}\\\\\dfrac{x}{\frac{4}{27}}=\dfrac{2}{3}\qquad\text{multiply both sides by}\ \dfrac{4}{27}\\\\x=\dfrac{2}{3}\cdot\dfrac{4}{27}\\\\x=\dfrac{8}{81}$

8 0

2 years ago

Hi please help me with this i’ll give brainliest if you give a correct and show your work!

Tatiana [17]

1. (1.35)x(.42)

1.35
x. .42
________
270
5400
________
.5670

You need to have the total number of decimal places from the original two numbers. 1.35 has two decimal places and .42 has to decimal places you have a total of four decimal places, Which means 5670 is .5670

2. (.22)x(.04)

.22
x. .04
_______
88
00
_______
.0088

you need to have the total number of decimal places from the original Two numbers. So .22 is two decimal places and .04 is two decimal places, so you will need to have for decimal places. That means that the answer 88 needs to be translated into .0088

6 0

2 years ago

quizlet "it is closed under addition and multiplication but not closed under subtraction or division."

deff fn [24]

Rational numbers are closed under addition ,multiplication but not closed under division

Rational number

Closure property

assume two rational numbers say x and y. the results of addition and multiplication operations give a rational number we can say that rational number are closed under addition and multiplication . For example

rational number are not closed under division as 1 and 0 are rational number but 1/0 is not defined but it is closed under addition and multiplication

that is 1+0 = 1 closed under addition

1*0 =0 closed under multiplication

but 1/0 is not defined so it is not closed under division

Hence Rational numbers are closed under addition ,multiplication but not closed under division

learn more of closure property here

brainly.com/question/28220649

#SPJ4

4 0

6 months ago

Please help me with this question...

Svetlanka [38]

Answer:

a)45º

b)22º

c)22º

Step-by-step explanation:

Add Angle b and angle a (45+113) then subtract from 180º (because that is the total of all triangle angles) and you get 22º

7 0

3 years ago

1. A particular shade of orange paint has 2 cups of yellow

Tamiku [17]

Answer:

6 cups of yellow paint and 9 cups of red paint are required for 3 batches of orange paint.

Step-by-step explanation:

Consider the provided information.

A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint.

We need to find the numbers of cups of yellow and red paint needed for 3 batches of orange paint.

For one batches of orange paint we need 2 cups of yellow and 3 cups of red.

So for 3 batches of orange paint we need:

2×3 = 6 cups of yellow paint.

3×3 = 9 cups of red paint.

The required number line is shown below.

7 0

3 years ago