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3 years ago

14

How to solved percentages?

1 answer:

MrMuchimi3 years ago

3 0

Imagine you have a pizza the whole pizza is 100%
Then the pizza is sliced on 8 equal parts that means one slice now presents a part of whole pizza 1/8 out of 8/8 in this case one slice presents 12.5% of 100% pizza.

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7/9+7/54 what is the answer

kolbaska11 [484]

Answer:

49/54

Step-by-step explanation:

7/9 + 7/54

42/54 + 7/54

49/54

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3 years ago

In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an ine

Tasya [4]

Answer:

ussugdfxysuwneuduchske

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3 years ago

Please help ??????????

iragen [17]

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5•2/3

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3 years ago

nia cuts hair. she finished 6 haircuts in the 4 hours before lunch. how many hours must she work to finish 24 haircut

Zepler [3.9K]

Answer:

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Step-by-step explanation:

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3 years ago

One of the roots of the quadratic equation dx^2+cx+p=0 is twice the other, find the relationship between d, c and p

scZoUnD [109]

Answer:

$c^2 = 9dp$

Step-by-step explanation:

Given

$dx^2 + cx + p = 0$

Let the roots be $\alpha$ and $\beta$

So:

$\alpha = 2\beta$

Required

Determine the relationship between d, c and p

$dx^2 + cx + p = 0$

Divide through by d

$\frac{dx^2}{d} + \frac{cx}{d} + \frac{p}{d} = 0$

$x^2 + \frac{c}{d}x + \frac{p}{d} = 0$

A quadratic equation has the form:

$x^2 - (\alpha + \beta)x + \alpha \beta = 0$

So:

$x^2 - (2\beta+ \beta)x + \beta*\beta = 0$

$x^2 - (3\beta)x + \beta^2 = 0$

So, we have:

$\frac{c}{d} = -3\beta$ -- (1)

and

$\frac{p}{d} = \beta^2$ -- (2)

Make $\beta$ the subject in (1)

$\frac{c}{d} = -3\beta$

$\beta = -\frac{c}{3d}$

Substitute $\beta = -\frac{c}{3d}$ in (2)

$\frac{p}{d} = (-\frac{c}{3d})^2$

$\frac{p}{d} = \frac{c^2}{9d^2}$

Multiply both sides by d

$d * \frac{p}{d} = \frac{c^2}{9d^2}*d$

$p = \frac{c^2}{9d}$

Cross Multiply

$9dp = c^2$

or

$c^2 = 9dp$

Hence, the relationship between d, c and p is: $c^2 = 9dp$

8 0

3 years ago