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3 years ago

What number is a common denominator for 3/8and1/3

2 answers:

fomenos3 years ago

4 0

Hello!

24 is the LCD for 3/8 and 1/3.

The least common multiple is 24, so the LCD is 24, too. A "Common Denominator" is a number that can be divided by all the denominators in a group of fractions.

bulgar [2K]3 years ago

3 0

A common denominator is when the denominators (or the value in the bottom of the fraction) is made the same through multiplication, etc.

24 is a common denominator for this example:

3/8(3/3) = 9/24
1/3(8/8) = 8/24

9/24 and 8/24 have common denominators, while their numerators are also multiplied, for 'what you do to the bottom, you do to the top' (sorry forgot the exact term for it)

hope this helps

You might be interested in

-5,-5/2,-5/4,-5/8 .......help me with these sequences, i have to name what im doing and show it

telo118 [61]

As you can see in the denominator, the values keep on multiplying by 2, meaning that the number must multiply by 0.5 or 1/2 to get the next one.

So the rule is *1/2.

4 0

4 years ago

One number is 23 more than another. If the sum of the two numbers is 163, find the two numbers.

kipiarov [429]

ANSWER

93 and 70

EXPLANATION

We have that one number is 23 more than another.

Let the first number be x.

Let the second number be y.

This means that:

x = 23 + y ____(1)

The sum of the two numbers is 163. This means that:

x + y = 163 ____(2)

Put (1) in (2):

23 + y + y = 163

23 + 2y = 163

2y = 163 - 23

2y = 140

y = 140 / 2

y = 70

From (1):

x = 23 + 70

x = 93

The two numbers are 93 and 70.

5 0

1 year ago

The Appalachian Trail is about 2,175 miles long.

Nesterboy [21]

Answer:

121 days; 30 full days

Step-by-step explanation:

to find how much days she takes you divide 2175 by 18

2175 / 18 is 120.833333

it will take her at least 121 days because you need to round up

the last portion of the hike would be a quarter of the hike

you would divide the final time by 4 and that is your answer

121 / 4 is 30.25

you have to round down because .25 is not a full day

she hiked 30 full days

4 0

3 years ago

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean outpu

andreyandreev [35.5K]

Answer:

The probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers is 0.3156

Step-by-step explanation:

Mean output of amplifiers = 364

Standard deviation = $\sigma$ = 12

We have to find the probability that the mean output for 52 randomly selected amplifiers will be greater than 364.8. Since the population is Normally Distributed and we know the value of population standard deviation, we will use the z-distribution to solve this problem.

We will convert 364.8 to its equivalent z-score and then finding the desired probability from the z-table. The formula to calculate the z-score is:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }$

x=364.8 converted to z score for a sample size of n= 52 will be:

$z=\frac{364.8-364}{\frac{12}{\sqrt{52} } }=0.48$

This means, the probability that the output is greater than 364.8 is equivalent to probability of z score being greater than 0.48.

i.e.

P( X > 364.8 ) = P( z > 0.48 )

From the z-table:

P( z > 0.48) = 1 - P(z < 0.48)

= 1 - 0.6844

= 0.3156

Since, P( X > 364.8 ) = P( z > 0.48 ), we can conclude that:

The probability that the mean amplifier output would be greater than 364.8 watts in a sample of 52 amplifiers is 0.3156

8 0

4 years ago

Find the surface area of composite figure. use 3.14 for π. round to the nearest tenth

Andrews [41]

Answer:

628.0 mm²

Step-by-step explanation:

The total surface area of the figure is the sum of the inside lateral area, the outside lateral area, and the area of the donut bases.

<h3>Lateral area</h3>

The lateral area of a cylinder is ...

A = 2πrh

The total lateral area of the inside and outside cylinders is ...

A = 2π(r1)h +2π(r2)h = 2π(r1 +r2)h

A = 2(3.14)(3 mm +7 mm)(6 mm) = 376.8 mm²

The area of one donut base is the product of the centerline length and the width.

A = πdw = (3.14)(7 mm +3 mm)(4 mm) = 125.6 mm²

<h3>Total area</h3>

The total surface area of the composite figure is the sum of its lateral area and the area of the two bases.

surface area = 376.8 mm² +2×125.6 mm² = 628.0 mm²

<em>Additional comment</em>

The <em>radius</em> of the centerline of the base donut is the average of the inside and outside radii: half their sum. The <em>diameter</em> of the centerline circle is twice that average radius, so is equal to the sum of the inside and outside radii. This is the value we used above.

The width of the donut is the difference in the radii.

The product of the sum and difference is the same as the difference of the squares of the radii. That difference of squares would be what you have if you compute the overall area and subtract the inner area.

4 0

2 years ago