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3 years ago

11

The number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus

?

1 answer:

Mama L [17]3 years ago

5 0

Answer:

506

Step-by-step explanation:

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Convert the polar equation to rectangular form r=2/1+sin( theta)

Nataly_w [17]

$r=\dfrac2{1+\sin\theta}$
$r+r\sin\theta=2$
$\implies \sqrt{x^2+y^2}+y=2$

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y eggs in a basket. One quarter of the eggs are sold and four got broken. How many eggs are in the basket in term of y.

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alekssr [168]

Answer:

(x, y) --> (x + 14, y + 8)

Step-by-step explanation:

Look at 1 original point and its corresponding translated point.

Let's look at F and F'.

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2 years ago

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If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI

Vikentia [17]

Answer:

The value is $y = \$ 225$

Step-by-step explanation:

From the question we are told that

The amount charge per year is $k = \$ 200$

The number of members it will have at this amount is $n = 50$

The amount amount increase that will lead to the loss of a single member is $z = \$ 5$

Generally the total amount the club would obtain from its members is mathematically represented as

$I = Amount \ due\ paid * Number \ of members$

Now let x denote the number of member lost

Hence

$I = (k + zx) (n-x )$

=> $I = (200 + 5x) (50-x )$

=> $I = 10000+50x-5x^2$

Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

$\frac{dI}{dx} = 50-10x$

=> $x = 5$

So from $I = (200 + 5x) (50-x )$ we have

$I = (200 + 5 (5)) (50-5 )$

$I = \$ 10125$

So the amount the club should charge is

$y = \frac{10125}{50 - 5}$

$y = \$ 225$

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3 years ago

Nicole bought a piece of property for $12,000. She sold it for $15,000. What is the percent of increase

Nina [5.8K]

The percent of increase is 25 percent

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3 years ago