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solniwko [45]
3 years ago
7

Brian bought x apples and some oranges. Brian bought 3 more oranges than apples.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
4 0

a)Total number of fruit Brian bought in terms of x= 2x+3

b)Total money spent by Brian on the fruit= 0.9x+1.5

c)cost of each pear= (0.9x+1.5)/12

Step-by-step explanation:

As provided Brian got “x” apples and unknown quantity of oranges. However, amount of oranges bought was 3 more than apples

a). Hence the total number of fruit Brian bought in terms of x= no of apple +no of oranges

=x+x+3 (since he brought 3 oranges than apples. If apple is “x”, then oranges = “x+3”)

=2x+3

b). Total money spent by Brian on the fruit.  

Total amount spent on apples= (cost of one apple* no of apples) + (cost of one orange * no of oranges)

Given Apples cost .40 and Oranges .50

=.4x+.5(x+3)

=0.9x+1.5

c). cost of 12 pears matches the total cost of the apples and oranges-

cost of each pear= total money spent on apples and oranges/no of pears bought

=(0.9x+1.5)/12

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In circle o, the length of radius OL is 6 cm and the length
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Answer:

14.2cm

Step-by-step explanation:

The diagram representing the circle and its attributes has been attached to this response.

<em>As shown in the diagram;</em>

The circle is centered at o,

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The length of the arc LM = 6.3cm

The angle MON = 75°

The angle LOM = θ

<em>Remember that;</em>

The length, L, of an arc is given by;

L = (θ / 360) x (2πr)         -------------(i)

Where;

θ is the angle subtended by the arc

r = radius of the circle.

Using the formula in equation (i), let's calculate the angle θ subtended by arc LM as follows;

L = (θ / 360) x (2πr)  

Where;

L = length of arc LM = 6.3cm

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation to get;</em>

6.3 = (θ / 360) x (2 x π x 6)

6.3 = (θ / 360) x (12 x π)

6.3 = (θ / 30) x (π)              [Take π = 22/7]

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Therefore, the angle subtended by arc LM is 60.14°

Now, from the diagram,

The angle subtended by arc LMN is;

θ + 75° = 60.14° + 75° =  135.14°

Let's now calculate the length of arc LMN using the same equation (i)

L = (θ / 360) x (2πr)  

Where;

L = length of arc LMN

θ = angle subtended by LMN = 135.14°

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation;</em>

L = (135.14° / 360°) x (2 x π x 6)             [Take π = 22/7]

L = 14.15cm

Therefore, the length of arc LMN is 14.2cm to the nearest tenth.

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