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3 years ago

15

A problem states: “there are 9 more children than parents in a room. There are 25 people in the room in all. How many children a

re there in the room?”
Which expression represents the number of parents?
A) c•9
B) c-9
C) c+9
D) 9-c

1 answer:

kari74 [83]3 years ago

5 0

The answer correct answer is C

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If n is a prime number, then n 1 is not prime?

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3 years ago

A regular octagon has an apothem of 16.9 cm and a side length of 14 cm. Find the area to the nearest tenth.

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Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

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2 years ago

Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet

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Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

$f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\$

Take the second derivative of the function, to check if it will given a minimum perimeter

$\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)$

Determine the critical points of the first derivative;

df/dw = 0

$\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m$

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

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3 years ago

A bag of taffy contains three flavors: chocolate, maple, and cherry. There is an equal number of each flavor. What is the chance

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3 years ago

The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.

GenaCL600 [577]

Answer:

Afful is 21 and Naomi is 13.

Step-by-step explanation:

Let $A$ represent the age of Afful and $N$ represent the age of Naomi.

The sum of their ages is 34. In other words:

$A+N=34$

In 5 years time, Afful will be two times the age of Naomi <em>now</em>. In other words:

$A+5=2N$

Solve for the system. Substitute.

$A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21$

Afful is currently 21 and Noami is currently 13.

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3 years ago

Read 2 more answers