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skelet666 [1.2K]
2 years ago
11

(b) The sum of a number and its reciprocal is 2 1/6.Find the number

Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

Answer:

Step-by-step explanation:

n+1/2n=7/2

2n^2+1/2=7/2

4n^2+2=14

4n^2=12

n^2=3

n=radical3

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17. Admission prices to Cinema I to see a movie are $9.50 for an adult and $6.50 for a child. The admission charge at Cinema II
maksim [4K]

Answer:

a. 9.5x + 6.5(x+c) < 8   when c>0

b. Must be one child more than the no. of adults.

Step-by-step explanation:

For Cinema 1:

for adult = $9.50

for child = $6.50

For Cinema 2:

Per person regardless of age = $8.00

First of all, we will find out the condition when per person rates in both cinema are equal.

Assume x = no. of adults

y = no. of children

Rate per person in Cinema I = Rate per person in Cinema II

(9.5x + 6.5y)/(x+y)   =   8

9.5x + 6.5y = 8(x+y)

9.5x + 6.5y = 8x + 8y

9.5x-8x = 8y-6.5y

=> x = y

So rates are equal when no. of adults equals no. of children

For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8

Hence we form an inequality when y = x+c and c > 0

9.5x + 6.5(x+c) < 8   when c>0

Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.

4 0
3 years ago
Read 2 more answers
Sonya wants to sew ribbon along each side of a square pillow.
Eduardwww [97]

We are given area of the ribbon = 144 square inches.

We know formula for side of a square = \sqrt{Area \ of \ a \ square }.

Plugging value of area in the formula, we get

Side of the square = \sqrt{144}

= 12 inches.

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

<h3>Perimeter = 4 × side = 4 × 12 = 48 inches.</h3><h3>Therefore, she buy 48 inches of ribbon to have the exact amount that she needs.</h3>
5 0
3 years ago
Which is true about the polynomial -8m3 11m?O It is a binomial with a degree of 2.O It is a binomial with a degree of 3.O It is
koban [17]
-8m^3 + 11m....notice that it has 2 terms....(-8m^3) and (11m). Having 2 terms makes it a binomial...if it would have had 3 terms, it would have been a trinomial. If it has only one variable, the degree is the highest exponent...so this has a degree of 3 since ^3 is the highest exponent.
so ur answer is : binomial with a degree of 3
3 0
3 years ago
Read 2 more answers
(x+2)(x+5) find the following products by using distributive property
nika2105 [10]

Answer:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

(

x

+

5

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(

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(

x

×

x

)

+

(

x

×

2

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+

(

5

×

x

)

+

(

5

×

2

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x

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x

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We can now combine like terms:

x

2

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(

2

+

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x

+

10

x

2

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7

x

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Step-by-step explanation:

7 0
3 years ago
a standard deck of cards missing the queen of hearts in the 2 of clubs what is the probability of pulling either an ace or a spa
Butoxors [25]
<h3>Answer:  8/25</h3>

=======================================================

Explanation:

In a standard deck, there are 52 cards.

If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.

There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.

Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.

-----------------

The event space has A = 16 cards in it, while the sample space has B = 50 cards.

The probability we're after is A/B = 16/50 = 8/25

5 0
2 years ago
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