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xenn [34]
2 years ago
14

Of 5

Mathematics
1 answer:
wel2 years ago
4 0

Answer:

1/4

Step-by-step explanation:

The total volume of the fruit cocktail is calculated as:

Volume of orange juice + Volume of apple juice + Volume of coconut juice

= 25ml + 30ml + 45 ml

= 100ml

The proportion of the cocktail that is orange juice is given as:

= 25ml/100ml

= 1/4

Therefore, the proportion of the cocktail that is orange juice in the simplest fraction is given as:

1/4

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Solve the simultaneous equation 2p - 3q = 4, 3p + 2q = 9. <br>b. if 223= 87 find x<br>​
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Answer:

Step-by-step explanation:

Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.

2p - 3q = 4 ...................... 1 * 3

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p = 70/26

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<em></em>

<em>b) </em>If if 223ₓ = 87 find x

Using the number base system and converting 223ₓ  to base 2 will give us;

223ₓ = 2*x² + 2*x¹ + 3*x⁰

223ₓ  = 2x²+2x+3

​

Substituting back into the equation, 2x²+2x+3 = 87

2x²+2x+3-87 = 0

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x = -6 and 7

<em>Hence the value of x is 7 (neglecting the negative value)</em>

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The equation should be:
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6
6 * 0.7 = 4.2
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