MATHEMATICS HIGH SCHOOL

Is 10/24 equal to 8/20

Answers

Answer 1

Answer:

Answer:

No, 10/24 is not equal to 8/20

Step-by-step explanation:

10/24=5/12 when simplified

8/20=2/5 when simplified

Therefore, 10/24 is not equal to 8/20. I hope this helps, and mark me brainliest, please!

Thank you have a wonderful Sunday!

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The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how many centimeters long is the smaller leg please explain how you got it

Answers

$b=a+3\n c=a+6\n a^2+b^2=c^2\n\n a^2+(a+3)^2=(a+6)^2\n a^2+a^2+6a+9=a^2+12a+36\n a^2-6a-27=0\n a^2-9a+3a-27=0\n a(a-9)+3(a-9)=0\n (a+3)(a-9)=0\n a=-3 \vee a=9\n$

The length can't be negative, so the answer is 9 cm.

Let the smaller leg be x.

Thus, larger leg = 3 +x
Thus, hypotenuse = 6 + x

Applying pythagoras theorum ;

$(6+x)^2 = x^2 + (3+x)^2 \n \n or, 6^2 + 12x + x^2 = 3^2 + 6x + x^2 \n \n i.e., 36 + 12x = 9 + 6x \n \n =>6x = 45 \n \n => x = 9$

Thus, the length of smaller peg is 9 cm.

Simplify the following expression: (x + 6y) − (3x − 10y). If the final answer is written in the form Ax + By, what is the value of A?

Answers

Answer: The value of A is -2.

Step-by-step explanation:

Since we have given that

$(x+6y)-(3x-10y)$

We need to change it in the form of Ax+By.

So, it becomes,

$x+6y-3x+10y\n\n=(x-3x)+(6y+10y)\n\n=-2x+16y$

Now, we will equate this with Ax+By:

By comparing the coefficient of x and y:

$-2x+16y=Ax+By\n\n\implies A=-2\n\nand\n\n\implies B=16$

Hence, the value of A is -2.

-2

becasue we

-2x-4y

-2 = A

What is the slope of these lines please help for brainlist

Answers

i’m sorry i have to put down some answers so i can actually ask questions

Answer:

Green line: -1/2

Blue line: -1/2

Step-by-step explanation:

Both of them in slope-intercept form:

Green line: y= -1/2x-11/2

Blue line: y= -1/2x-7

If you liked my answer please make my answer the brainliest I would very much appreciate it. Thanks! :D

if you deposit 250 each quarter in a bank account that pays interest at 16% compounded quarterly how much will you have at the end of five years

Answers

You deposit 250 each quarter in a bank account that pays interest at 16% compounded quarterly.
Let's solve how much will you have at the end of five years.
=> 250 dollars with 16% interest per quarter
=> 5th year interest $79.54
=> TOtal interests $297.78
=> TOtal balance.$547.78

4,divided by 3,476 i need helping hand

Answers

$4 / 3.476 = 1.151 \: (rouded \: up)$

your answer is to be 1,150

Suppose you place 16 green, 25 blue, and 9 yellow marbles in a non-transparent bag. you then randomize the marbles by shaking them up thoroughly. assume you then randomly select two marbles from the bag without replacement. what is the probability of selecting two blue marbles?