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2 years ago

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

Mathematics

1 answer:

kogti [31]2 years ago

3 0

Answer:

Step-by-step explanation:

The given fraction is

$- \frac{3}{4} m - \frac{1}{2} = 2 + \frac{1}{4}m$

To clear the fraction, we need to multiply through by the LCM of the denominators.The denominators are 4, 2 and an invisible 1.

The LCM of {4,2,1} is 4.

We multiply through by 2 to obtain:

$- \frac{3}{4} m \times 4 - \frac{1}{2} \times 4 = 2 \times 4 + \frac{1}{4} m \times 4$

This simplifies to

$- 3m - 2 = 8 + m$

The fraction is now eliminated. The required number is 4

You might be interested in

A person traveling from Seattle to Sydney has three airlines to choose from. 40% of travelers choose airline A, and this airline

dalvyx [7]

Answer:

46.67% probability that they flew with airline B.

Step-by-step explanation:

We have these following probabilities:

A 40% probability that a traveler chooses airline A.

A 35% probability that a traveled chooses airline B.

A 25% probability that a traveler chooses airline C.

If a passenger chooses airline A, a 10% probability that he arrives late.

If a passenger chooses airline B, a 15% probability that he arrives late.

If a passenger chooses airline C, a 8% probability that he arrives late.

If a randomly selected traveler is on a flight from Seattle which arrives late to Sydney, what is the probability that they flew with airline B?

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

What is the probability that the traveler flew with airline B, given that he was late?

P(B) is the probability that he flew with airline B.

So $P(B) = 0.35$

P(A/B) is the probability of being late when traveling with airline B. So P(A/B) = 0.15.

P(A) is the probability of being late. This is the sum of 10% of 40%(airline A), 15% of 35%(airline B) and 8% of 25%(airline C).

$P(A) = 0.1*0.4 + 0.15*0.35 + 0.08*0.25 = 0.1125$

Probability

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.35*0.15}{0.1125} = 0.4667$

46.67% probability that they flew with airline B.

5 0

3 years ago

Who walks at a faster rate: someone who walks 60ft in 10sec or someone who walks 42ft in 6sec

julia-pushkina [17]

Answer:

42 ft in 6 seconds

Step-by-step explanation:

The person whom walks a greater distance in lees time is faster

7 0

3 years ago

A dolphin is 42 feet underwater and ascends at a constant rate for 14 seconds until it reaches the surface. Identify and interpr

Cloud [144]

Ok so, based on the graph lets say that x = seconds and y = depth of dolphin. the interception in both points is when they are at 0 i.e when x is equals 0 and y equals 0. So At 0 seconds, the dolphin is 42 feet below the surface. So we say that x = 0, y = -42 and then the y intercepts = -42 so the point of interception is(0 (seconds),-42(depth of the dolphin)) When the clock says it's 14 seconds, the dolphin is even with the surface (0 below the surface this time). So we say that x = 14, y = 0. In this case The x intercept = 14 (14,0). But we need to calculate The slope with the formula= (y2 - y1)/(x2 - x1) = 42/14 = 3. Therefore, the formula for this line is y = 3x - 42.

3 0

3 years ago

HELP ASAP RN 10 POINTS AND BRAINLIEST TO WHOEVER DOES IT CORECTLY The cost to rent a bicycle at Freewheels is $10 plus an hourly

const2013 [10]

Answer:

Freewheels charges a $10 initial fee and $4 per hour.

that is the correct answer! hope this helped!

6 0

2 years ago

If a right triangle has a hypotenuse equal to 17 and a leg equal to 15, find the third side.

Yanka [14]

Use the pythagorean theorem a.k.a ${a}^{2} + {b}^{2} = {c}^{2}$
c is the hypotenuse while a & b are the legs
${15}^{2} + {b}^{2} = {17}^{2}$
$225 + {b}^{2} = 289$
subtract 225 from 289
${b}^{2} = 64$
square root both b and 64
the other leg is equal to 8

8 0

3 years ago