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2 years ago

10

What is a common dominator for 5/6+1/6

2 answers:

ValentinkaMS [17]2 years ago

8 0

Answer:

The least common denominator for 5/6 and 1/6 is 6, and if you wanted the equation solved then it would be 5/6+1/6 which equals 1.

Hope this helps, have a good day/night and stay safe! :)

german2 years ago

4 0

Answer:

6

Step-by-step explanation:

You might be interested in

If x=2/3 and x=-3 are the roots of the equation ax^2+7x+b=0 find the values of a and b

Gnesinka [82]

<u>ANSWER: </u>

If x = $\frac{2}{3}$ and x = -3 are the roots of the equation, then values of a and b are 3, -6

<u>SOLUTION: </u>

Given, quadratic equation is $a x^{2}+7 x+b=0$ and its roots are -3 , $\frac{2}{3}$

We know that, for any quadratic equation of form $a x^{2}+b x+c=0$ with roots $x_{1} and x_{2}$ then,

Sum of roots $(x_{1} +x_{2})$ = $\frac{-b}{a}$

Product of roots ( $x_{1} \times x_{2})$ = $\frac{c}{a}$

Now, for given quadratic equation $x_{1}$ = -3 and $x_{2}$ = $\frac{2}{3}$

hence Sum of roots = $\frac{-7}{a}$

$x_{1} + x_{2} = \frac{-7}{a}$

$-3 + \frac{2}{3} = \frac{-7}{a}$

on solving we get "a" = 3

Now product of roots = $x_{1} \times x_{2} = \frac{b}{3}$

$-3 \times \frac{2}{3} = \frac{b}{3}$

b = -6

hence, the values of a and b are 3, -6.

7 0

3 years ago

1.) The island shown has a population of 12,175 people. Find the population

miv72 [106K]

Answer:

Population density = $148.22\ \text{people per square kilometer}$

Step-by-step explanation:

The attached figure shows the dimension of an island.

Population density is equal to total population per unit land area.

Firstly we will find the area of the triangle using Pythagoras theorem as follows :

$H^2=B^2+P^2$

H is Hypotenuse, B is base and P is perpendicular

$B=\sqrt{H^2-P^2} \\\\B=\sqrt{(18.5)^2-(11.1)^2} \\\\B=14.8\ km$

Area of triangle is given by :

$A=\dfrac{1}{2}\times b\times P\\\\A=\dfrac{1}{2}\times 14.8\times 11.1\\\\A=82.14\ km^2$

$\text{Population density}=\dfrac{\text{Total population}}{\text{land area}}\\\\=\dfrac{12175 }{82.14}\\\\=148.22\ \text{people per square kilometer}$

Hence, the population density is $148.22\ \text{people per square kilometer}$ .

7 0

3 years ago

someone came into my shop and stole $100 from the register without my knowledge. The person came back with the same $100 five mi

leonid [27]

$30, because basically, it's -100, +100, -30.

6 0

3 years ago

An art teacher has a jar containing b buttons to distribute to her class for a project. In order to give each in the class 6 but

Nastasia [14]

Answer:

22

Step-by-step explanation:

Given:

An art teacher has the total number of buttons = $b$

1. In order to give each in the class 6 buttons, she will need 18 more buttons.

2. If she gives each child 5 buttons, she will have 4 left over.

Question asked:

How many children are in the class ?

Solution:

<u>Let total number of children in the class = </u> $x$

<u><em>As given that, 18 more buttons will be needed to give 6 buttons to each.</em></u>

The equation will be:-

$b+18=6x\\b-6x=-18\ (equation\ 1)$

<em><u>Also given that, If she gives 5 buttons to each, she will have 4 left over.</u></em>

The equation will be:-

$b-5x=4\ (equation\ 2)$

Subtraction equation 2 from 1

$b-6x-(b-5x)=-18-4\\b-6x-b+5x=-22\\-6x+5x=-22\\-x=-22\\Minus\ canceled\ by\ minus\\x=22$

Hence, total number of children are 22.

4 0

3 years ago

Question is in the picture

olga_2 [115]

Answer:

b

Step-by-step explanation:

4 0

2 years ago