3 years ago

How would you change 18/7 into a mix number?

1 answer:

6 0

How many times does 18 go into 7? The answer is 2 times since 14/7 = 2 and we'll have 4 left over. We can say that 18/7 = 2 remainder 4. The remainder of 4 is placed over the denominator 7 to indicate we a fractional part.

Therefore, 18/7 = 2 & 4/7

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Question 7

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3 years ago

If y is 2.5 when x is 5 and i varies directly with x, find y when x is 14 ?

Anestetic [448]

ANSWER

$y = 7$

EXPLANATION

If y varies directly with x, we write the mathematical statement;

$y \propto \: x$

When we introduce the constant of proportionality k, then we write the equation,

$y = kx$

If y is 2.5 when x is 5,then we have;

$2.5 = 5k$

$k = \frac{2.5}{5}$

$k = 0.5$

The equation of variation then becomes;

$y = 0.5x$

when x=14,

$y = 0.5(14)$

$y = 7$

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What is the approximate area of the shaded sector in the circle shown below?

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Answer:

Correct option is B.

Step-by-step explanation:

Given the radius of circle and the angle in sector we have to find the area of shaded region i.e minor sector.

$Radius=r=16 in.$

$Angle=\theta=110^{\circ}$

$Area of sector=}\frac{\theta}{360}\times\pi r^2$

$=\frac{110}{360}\times\frac{22}{7}\times(16)^2$

$=\frac{11}{36}\times \frac{22}{7}\times 16\times 16=245.841=246(approx.)$

∴ Area of sector is $246in^2$

Correct option is B.

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