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3 years ago

Solve 5 over x plus 8 equals 3 over x for x and determine if the solution is extraneous or not.

1 answer:

8 0

$\frac{5}{x+8}=\frac{3}{x}\ \ \ Domain\ D:x+8\neq0\to x\neq-8\ and\ x\neq0\\\\cross\ multiply\\\\5(x)=3(x+8)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x=3(x)+3(8)\\\\5x=3x+24\ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\2x=24\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\huge\boxed{x=12\in D}$

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2^2 + (2√3)^2 = y^2<br><br> Please help!

IrinaK [193]

Answer:

y=4, -4

Step-by-step explanation:

2^2 + (2√3)^2 = y^2

4+ (2√3)^2 = y^2

y^2=4+12 (here we square the values inside bracket which turns 2 into 4 and when you square a square root it gets rid of the root so you are left with 3 which is multiplied to 4 and you get 12.)

y^2= 16

y=4, -4 (when you square root a positive value you get one positive and one negative answer because here (-4) x (-4) = 16 (because multiplying two negatives gives us a positive.

3 0

4 years ago

C.) In a special paint the following tints are added, 200ml of green tint,350ml of blue tint and 450ml of red tint. calculate th

HACTEHA [7]

Answer:

35%

Step-by-step explanation:

The percentage of blue tint in paint mixture (a mixture of 200ml of green tint, 350ml of blue tint and 450ml of red tint) is the ratio of the quantity of blue tint to the total quantity of tint.

The total quantity of tint

= 200ml + 350ml + 450ml

= 1000ml

The percentage of blue tint in the paint mixture

= 350ml/1000ml * 100%

= 35%

3 0

4 years ago

A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

3 years ago

Can someone help me? Plz will mark brainliest!

tiny-mole [99]

1. - 3, +4 2. +2, - 5 3. +9, +1

5 0

3 years ago

Ubehebe crater in Death Valley has a diameter of a little more than 1/2 mile. If latisha walks around it's rim at a rate of 2 mi

Yuri [45]

Let's say that the diameter was 1/2 mile. So the diameter is 1/2, then you need to find the circumference, aka perimeter of the circle. So 1/2 times 3.14 = 1.57 miles So then you would do 1.57/2 = .785 of an hour If you round to nearest tenth The answer is .8 of an hour.

8 0

3 years ago

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