please answer fast urgently ​

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Explanation:

Find the prime factorization of 72 and 162

Here's a simplified version of each

We have these unique primes: 2, 3

Circle the terms that have the largest exponents for each of those unique primes. So you'll circle 2^3 and 3^4. Those items circled will multiply together to get the LCM.

This means 2^3*3^4 is the LCM (lowest common multiple).

2^3*3^4 turns into 648, but your teacher wants you to keep the LCM in prime factor form.

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Now onto the HCF (highest common factor; aka GCF).

Looking at

We again see '2's and '3's as the unique primes. Both have at 1 copy of '2' between them. They also both have 3^2 between them. It might help to think of 3^4 as 3^2*3^2.

Those common factors you circled are then multiplied.

Overall, the HCF is 2*3^2 = 2*9 = 18

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Side note: The HCF is useful to help reduce fractions, while the LCM is useful to help find the LCD (lowest common denominator) when adding or subtracting fractions of different denominators. There are other applications of each of these.

Answer:

LCM= 648

HCF= 18

Step-by-step explanation:

Answer:

180°

Step-by-step explanation:

Well we know that AB is 90° and considering CB is the exact same I guess it's 90° too so 90+90=180°

Step-by-step explanation:

here's the answer to your question

Answer:

114 in^2

Step-by-step explanation:

umm find the area of all the shapes and add them up...

Answer:

im not completely sure if the question is just asking how many gallons of gas berto is able to buy but if it is than he is able to buy 3.2 gallons of gas

Step-by-step explanation:

just do how much money he has divided by how much gas costs to see how much gas he will be able to buy

Answer: (3.2, 12)

Step-by-step explanation:

Answer:

from side a _2,4.5

from side b _-4

5,-2.

hope this will be helpful for you.

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

we want to expand the following expression:

[tex] \displaystyle - \frac{1}{4} ( - 8x + 12y)[/tex]

well to do so we consider distributive property thus distribute:

[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)[/tex]

reduce fraction which yields:

[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)[/tex]

simplify Parentheses:

[tex] \displaystyle \boxed{ 2x - 3y}[/tex]

in the expression there's a common factor of 4 therefore factor it out:

[tex] \displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}[/tex]

Answer:

Step-by-step explanation:

Answer:

the first one 2/-1, hope it helps...

Answer:

d = 8t

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

To find the midpoint the formulas

x=x1+x2/2 and y=y1+y2/2 are used

in this case x1 is 5,x2 is 5,y1 is 4 and y2 is -3

therefore

x=5+5/2.

=10/2

=5

y=4+(-3)/2

=1/2

The midpoint of a line segment divides the line into equal segments

The midpoint of the line segment is (5,1/2)

The endpoints of the line is given as:

(5,4) and (5,-3)

The midpoint of the line is calculated as:

(x,y) = 0.5(x1 + x2, y1 + y2)

So, we have:

(x,y) = 0.5(5 + 5, 4 - 3)

Evaluate the sum and difference

(x,y) = 0.5(10, 1)

Evaluate the product

(x,y) = (5, 1/2)

Hence, the midpoint of the line segment is (5,1/2)

Read more about midpoints at:

https://brainly.com/question/16828532

Answer:

[see below]

Step-by-step explanation:

"Two-Fifths of a number is 48."

(2/5)n = 48

((2/5n)(5/2) = 48 *(5/2)

n = 120

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120 * (3/4) = 90

Hope this helps you.

he would have 11 kites in total, hope this helps!

From A draw AG // BC cuts CD at WO

We have: Trapezoid ABCD (assumption)

⇒ AB // CD

⇒ AB // GC (because G ∈ CD)

Considering quadrilateral ABCG, there are:

AB // GC (proven above)

AG // BC (assumption)

⇒ Quadrilateral ABCG is a parallelogram

⇒ AB = GC = 40 cm

AG = BC = 50 cm

We have: DG = CD - GC (because G ∈ CD)

DG = 80 - 40

⇒  DG = 40(cm)

Considering ΔAGD, there are:

AG2=AD2+DG2AG2=AD2+DG2

502=302+402⇒502=302+402

⇒502=900+1600⇒502=900+1600

502=2500⇒502=2500

⇒502=502⇒502=502

⇒ AGD square at D

⇒ Trapezoid ABCD is a square trapezoid

Answer:

One

Step-by-step explanation:

Set each equations equal to each other

[tex] {x}^{2} + 4 = 4x[/tex]

[tex] {x}^{2} - 4x + 4[/tex]

Find the discrimant.

[tex]{ - 4 {}^{2} - 4(1)(4) } = 0[/tex]

This means there is one real solution. Since the discramnt equal 0.

Answer:

100x-400

B

Step-by-step explanation:

Profit= Revenue - cost

so just subtract the two equations

(700x+100)-(600x+500)

100x-400 which is answer choice B

Answer:

Step-by-step explanation:

so subtract the cost function from the revenue function

700x + 100

-(600x + 500)

profit(x) = 100x -400

Answer:

1=C

2=B

3=D

4=A

Step-by-step explanation:

im not sure about 3 and 4 so yeh and sorry for responding late

5.8 Nickels

Step-by-step explanation:

Let x rep no of Nickels in Mike's cup

Then x - 0.2 = Number of quarters in Mike's cup

0.2x = Amount of money that mike has from the nickels

1 ( x - 0.2) = Amount of money that Mike has from the quarter

Then,

0.2x + 1 (x - 0.2) = 6

Expand the bracket

0.2x + x - 0.2x = 6

x = 6

Recall

x - 0.2 = 0

6 - 0.2 = 5.8

Therefore, Mike has 5.8 nickels for the quarter

Answer:

There are 5 significant digits in 0.045325 and they are 4, 5, 3, 2, and 5.

Step-by-step explanation:

Significant digits rules:

In 0.045325, the two zeroes are leading zeroes and therefore do not count. The rest of the digits, (4, 5, 3, 2, and 5) are all non-zero and therefore count. Thus, there are 5 significant digits in 0.045325.

Answer:

Rs 1,650

Step-by-step explanation:

The given contribution are;

A contributes Rs 20,000, and B contributes Rs 30,000

The percentage of the profit A receives as manager = 25%

The amount of the profit divided in the ratio of their contribution = The remaining profit (75%)

The amount B gets = Rs1,350

The amount A gets = required

The ratio of their contribution at which the remaining profit is shared = 20,000:30,000 = 2:3

Where, out of 5 parts of 75% of the profits, B gets 3, while A gets 2

Let P represent the profit, we have;

B's share = 3/5× 0.75 × P = 1,350

∴ P = (5 × 1,350/3)/0.75 = 3,000

A gets 25% of the profits and 2/5 of the 75% remaining profit

∴ The amount A gets = 0.25×3000 + (2/5)×0.75×3000 = 1,650

Or simply put;

A gets the remainder of the profit which is Rs 3,000 - Rs 1,350 = Rs 1,650

Answer:

A linear equation in the standard form is written as:

y = a*x +b

where a is the slope and b is the y-intercept.

If we know that the line passes through the points (a, b) and (c, d), then the slope can be written as:

a = (d - b)/(c - a)

So we know that our line passes through the points (8, -1) and (2, -5)

then the slope will be:

a = (-5 - (-1) )/(2 - 8) = (-4/-6)  = 2/3

Then our line is something like:

y = (2/3)*x + b

to find the value of b, we can use the fact that we know that our line passes through the point (2, -5)

this means that when x = 2, we must have y = -5

replacing these values in the equation we get:

-5 = (2/3)*2 + b

-5 = 4/3 + b

-5 - 4/3 = b

-15/3 - 4/3 = b

-19/3 = b

then the equation is:

y = (2/3)*x - 19/3

(in the question you wrote the point-slope form, but you can see that it does not work for the second point, so there may be a mistake there, as the slope is missing)

The actual equation in the point-slope form is:

y + 1 = (2/3)*(x - 8)

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

I Got It Right Instruction on edge

Answer:

no

Step-by-step explanation:

substitute the x- coordinate 5 into the equation and if the result is equal to the y- coordinate 0 then it is a solution

y = 5 + 5 = 10 ≠ 0

Then (5, 0 ) is not a solution to the equation

Answer:

See picture below.

Step-by-step explanation:

I had to write a new option for one of the lines.

Answer:

Since this number is small we know that the exponent will be negative.

In scientific notation the decimal must be between the first two NON zero numbers. So move the decimal and count how many positions it was moved.

1.2 x 10 ^-11

Step-by-step explanation:

Answer:

x-2/3 is the answer.......

Please mark me as Brainliest

Answer:

Step-by-step explanation:

Use PEDMAS

(3 + 4) - 4/42 + 3(4 +2)/3 = 7 - [tex]\frac{4}{42}[/tex] + 3 * [tex]\frac{6}{3}[/tex]      {Inside parenthesis}

                                        = 7 - [tex]\frac{2}{21}[/tex] + 6     {Division}

                                        = 13 - [tex]\frac{2}{21}[/tex]

                                        [tex]=\frac{13*21}{1*21}-\frac{2}{21}\\\\=\frac{273}{21}-\frac{2}{21}\\\\=\frac{271}{21}[/tex]

Answer:

(x+5)(2x^2 +8)

Multiply (x+5) in both sides

(x+5)(2x^2) × (x+5)(8)

Answer is a