25/75 what is the lowest term number that goes into this fraction

If an even number is not divisible by 2, then 9 is a perfect cube<br><br> True or false?

victus00 [196]

Answer:

False, all even numbers are divisble by 2

Step-by-step explanation:

5 0

2 years ago

A gumball machine contains 300 grape flavored balls, 400 cherry flavored balls, and 500 lemon flavored balls. What is the probab

Svet_ta [14]

Answer:

Pr(of getting 1grape ball, 1 cherry ball and 1 lemon ball) =0.20832

Step-by-step explanation:

Let the grape falvored ball be represented by G,

Cherry flavored balls be C

Lemon flavored balls be L

the possible order of picks for getting 1grape ball, 1 cherry ball and 1lemon ball are; GCL or GLC or CGL or CLG or LGC or LCG

Pr(of getting 1grape ball, 1 cherry ball and 1 lemon ball)

= Pr(GCL) or Pr(GLC) or Pr(CGL) or Pr(CLG) or Pr(LGC) or Pr(LCG)

with replacement we have;

Probability = $\frac{number of required outcomes}{number of possible outcomes}$

= $\frac{300}{1200}*\frac{400}{1200}*\frac{500}{1200} +\frac{300}{1200}*\frac{500}{1200}*\frac{400}{1200} +\frac{400}{1200}*\frac{300}{1200}*\frac{500}{1200} \\ \\+\frac{400}{1200}*\frac{500}{1200}*\frac{300}{1200} +\frac{500}{1200}*\frac{300}{1200}*\frac{400}{1200} +\frac{500}{1200}*\frac{400}{1200}*\frac{300}{1200}$

= 0.03472 + 0.03472 +0.03472 + 0.03472 + 0.03472 + 0.03472

=0.20832

3 0

3 years ago

The force, F newtons, exerted by a magnet on a metal object is inversely "proportional to the square of the distance d cm."When

NeTakaya

A. The expression of F in terms of d is F = 200 / d²

B. The force when the distance is 10 cm is 2 N

C. The distance when the force is 8 N is 5 cm

D. When the distance, d is halved, the force F becomes four times the initial force

<h3>A. How to determine the expression </h3>

From the question given above,

F ∝ 1 / d²

F = K / d²

Cross multiply

K = Fd²

But

F = 50 N

d = 2 cm

Thus

K = Fd²

K = 50 × 2²

K = 200 Ncm²

Therefore, the expression is given as

F = K / d²

F = 200 / d²

<h3>B. How to determine F when d = 10</h3>

d = 10 cm
K = 200 Ncm²
F =?

F = K / d²

F = 200 / 10²

F = 2 N

<h3>C. How to determine d when F = 8 N</h3>

K = 200 Ncm²
F = 8 N
d = ?

F = K / d²

8 = 200 / d²

Cross multiply

8 × d² = 200

Divide both sides by 8

d² = 200 /8

d² = 25

Take the square root of both sides

d = √25

d = 5 cm

<h3>D. How to determine F when d is halved</h3>

Initial Force (F₁) = F
Initial distance (d₁) = d
Final distance (d₂) = 1/2 d = 0.5d
Final final (F₂) =?

K = Fd² = constant

Thus

F₁d₁² = F₂d₂²

F × d² = F₂ × (0.5d)²

F × d² = F₂ × 0.25d²

Divide both sides by 0.25d²

F₂ = (F × d² ) / 0.25d²

F₂ = F / 0.25

F₂ = 4F

Thus, when the distance is halved, the force will increase by a factor of 4

Learn more about variation:

brainly.com/question/14254277

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6 0

2 years ago

How many teaspoons make a tablespoon?

Schach [20]

Two tea spoons make a table spoon

6 0

4 years ago

Simplest form -5/8+3/4

Nikitich [7]

Answer:

-5/8 + 6/8= 1/8

6/8 is the same thing as 3/4 btw so don't get confused.

7 0

3 years ago