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2 years ago

Solve for A................. H= A/2

Mathematics

1 answer:

grigory [225]2 years ago

3 0

Step-by-step explanation:

First, multiply each side of the equation by

to eliminate the fraction while keeping the equation balanced:

2×A=2×h2(a+b)

2A=2×h2(a+b)

2A=h(a+b)

Now, divide each side of the equation by

to solve for

while keeping the equation balanced:

2Aa+b=h(a+b)a+b

2Aa+b=h

h=2Aa+b

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A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probabili

user100 [1]

Answer:
0.218

Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/ Total outcome
If a bag contains 3 red marbles, 7 blue marbles and 5 green marbles, the total number of marbles in the bag will be the total outcome i.e 3+7+5 = 15
If two blue marbles are drawn, the expected outcome in both cases is 7 since there are 7 blue marbles in the bag.
Probability of drawing the first blue marble = 7/15
Probability of drawing the second blue marble = 7/15
Probability that both marbles drawn will be blue = 7/15*7/15
= 49/225
= 0.218 (to nearest 1000th)

4 0

3 years ago

What is thirty five percent of two hundred

Anika [276]

To do this, convert 35% to a decimal, which would be moving the decimal two times to the left which would be 0.35. Then, to find 35% of 200, you would multiply 0.35 and 200 to get your answer: 70

8 0

3 years ago

Read 2 more answers

7. 3x + 4(x – 6) – 3(x – 7) (1 point) 4x – 45 4x – 3 10x – 3 10x + 45

charle [14.2K]

Answer:

4x -3

Step-by-step explanation:

The distributive property applies.

3x +4(x -6) -3(x -7)

= 3x +4x +4(-6) -3x -3(-7) . . . . use the distributive property

= 3x +4x -24 -3x +21 . . . . . . . . simplify

= x(3 +4 -3) +(-24 +21) . . . . . . . group like terms, use the distributive property again

= 4x -3 . . . . simplify

3 0

3 years ago

Simplify: 6(5x - 2) - (3x - 4)

Sloan [31]

Answer:

$27x-8$

Step-by-step explanation:

$6(5x-2)-(3x-4)\\30x-12-3x+4\\27x-8$

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3 years ago

Read 2 more answers

Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago