MATHEMATICS HIGH SCHOOL

At a school fete, Nicole buys 5 books and 2 CDs for $50, and Sharyn buys 2 books and 3 CDs for $31. Find the price of i. A book
ii. A CD

Answers

Answer 1

Answer:

Answer:

One book equals $8 and one CD equals $5

Step-by-step explanation:

Let books be denoted as 'x' and CDs as 'y'

5x + 2y = 50 ...1

2x + 3y = 31 ...2

I usually eliminate the y variable, and to do this, you multiply the first equation by 3 and the second equation by 2, because the lowest common multiple between 2 and 3 is 6.

...1*3 and ...2*2

15x + 6y + 150 ...3

4x + 6y = 62 ...4

Eliminate y by taking ...4 away from ...3

15x - 4x = 150 - 62

11x = 88

x = 8

Sub this value into ...1

5(8) + 2y = 50

40 + 2y = 50

Rearrange

2y = 50 - 40

2y = 10

y = 5

This means that one book is $8 and one CD equals $5

Answer 2

Answer:

Book = $8 each

CD = $5 each

8 x 5 = 40

2 x 5 = 10

= 50

8 x 2 = 16

5 x 3 = 15

= 31

Please mark as brainliest.

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A zoo has 2 male lions one sixth oh the lions are male lions how many lions are there at the zoo ?

Answers

There are 12 lions in the zoo.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

If one-sixth of the lions in the zoo are male lions, then we can set up the following equation:

2 = (1/6)x

where x represents the total number of lions in the zoo.

To solve for x, we can multiply both sides of the equation by 6:

12 = x

x = 12

Thus,

There are 12 lions in the zoo.

Learn more about fractions here:

brainly.com/question/24370499

#SPJ3

Let x be the number of animals in the zoo
Number of male lions in the zoo = 2
1/6(x) = 2
x/6 = 2
x = 12
There are 12 lions in the zoo in total.

Given that cos42° is simpler to 0.743, What is the sine of the complementary angle?

Answers

The cos of an angle and the sine of its complement are the same number.
Spend a couple of minutes looking at a right triangle, and reviewing the definitions of sin and cos, and you'll see why.

cos(42)=sin(90-42)

So in this case:

cos(42)=sin(48)

As:

A complementary angle is either of two angles whose sum is 90 degrees. {Source: Google}

If h(x) = -5x -10 find (h-2)

Answers

h(x) = -5x-10 h = -5 -10/x h + (-2) = -5-10/x +(-2) h-2 = -7 -10/x

A character who changes during the course of the story is _____.flat
round
static
dynamic

Answers

A character who changes during the course of the story is a dynamic character.
Hope that helps! :)

I would say dynamic is the answer.

y = 1/2x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)

Answers

Answer:

(-4,-8)

Step-by-step explanation:

Given :

$y = (1)/(2) x -6$ ---(1)

$x= -4$ ------(2)

Solution :

To find the solution of given system of equation we need to use the substitution method i.e. we need to substitute the value of x from equation (2) in equation (1).

⇒ $y=(1)/(2) *(-4)-6$