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3 years ago

Are these numbers reciprocals? a 2 and 1 1/2

Mathematics

1 answer:

faltersainse [42]3 years ago

5 0

Answer:

no they are not reciprocal

Step-by-step explanation:

an example is the reciprocal of 2 would be 1/2

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A count went up from 450 to 600. What was the approximate percent increase?

alukav5142 [94]

Answer:

The answer is 33%

Step-by-step explanation:

This is because if you type 450 x .33 (the given percent), it will equal 598.5 which is the closest answer you will get to 600 out of the given choices.

5 0

3 years ago

Read 2 more answers

A survey asked students whether they would like a drama club, a step team, both clubs, or neither club. The results are below:

Dmitry [639]

Hi, you've asked an incomplete question. Here are the remaining questions:

a) Describe what each region in the Venn diagram represents.

Region I: In drama club, not in step team.

Region II: In both clubs.

Region III: In step team not in drama.

Region IV: Not in either club.

b) How many students were in only one of the two clubs?

c) How many students were in the drama club or in the step team?

d) How many students were surveyed?

Attached is the Venn diagram depicting the regions.

Explanation:

b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.

c) By adding 34 + 27 + those that like both (14) = 75.

d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.

7 0

3 years ago

the area of a rectangle is 54x^9y^8 square yards if the length of the rectangle is 6x^3y^4 yards what expression represents the

Vinvika [58]

The area of a rectangle is given by:
A = (w) * (l)
Where,
w: width
l: long
Substituting values we have:
(54x ^ 9y ^ 8) = (w) * (6x ^ 3y ^ 4)
Clearing w we have:
w = (54x ^ 9y ^ 8) / (6x ^ 3y ^ 4)
Rewriting:
w = (9 * x ^ 6y ^ 4)
Answer:
the length of the rectangle is:
w = (9 * x ^ 6y ^ 4)

5 0

3 years ago

If r = 8 units and h = 10 units, what is the volume of the cylinder shown above? use 3.14 for pi,

Basile [38]

I hope this helps you

Volume =pi.r^2.h

Volume =3,14.8^2.10

Volume =31,4.64

Volume =200,96

8 0

3 years ago

18 points - Qu. If 16 whole numbers factor into 120. You will see how 32 whole numbers factor into 1200 what does the same princ

alexandr402 [8]

Explanation:

Your premise and conclusion are both incorrect.

120 has the prime factorization ...

120 = 2³ × 3 × 5

The exponents of the prime factors are {3, 1, 1}. The number of divisors of 120 is the product of the increments of these numbers: (3+1)(1+1)(1+1) = 4·2·2 = 16.

120 has 16 natural-number divisors

1200 has the same prime factor and two more: 2·5, so the factorization is ...

1200 = 2⁴ × 3 × 5²

These exponents are {4, 1, 2} and the product of their increments is 5·2·3 = 30.

1200 has 30 natural-number divisors.

When a number is multiplied by 2, its number of natural-number divisors will be (n+1)/n times the previous number of divisors, where n is the increment of the exponent of 2 that is a factor of the original number.

For 120, 2^3 is the power of 2 that is a factor. So, multiplying the number by 2 multiplies the number of divisors by (4+1)/4 = 5/4.

240 will have 20 divisors versus the 16 that 120 has.

Likewise, multiplying this number (240) by 5 will multiply its number of divisors by (2+1)/(1+1) = 3/2, where 1 is the power of 5 that is a factor of 240.

1200 will have 20(3/2) = 30 divisors, versus the 20 that 240 has, or the 16 that 120 has.

Summary

The number of divisors of an integer is the product of the increments of the exponents of its prime factors.

_____

For reference

Here are the divisors of 120:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Here are the divisors of 240:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Here are the divisors of 1200:

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200

7 0

3 years ago