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3 years ago

7

A recipe says to use 4 cups of flour to make 60 cookies. What is the constant of proportionality that relates the number of cook

ies made, y , to the number of cups of flour used, x ?

1 answer:

Sveta_85 [38]3 years ago

5 0

Answer: divide the 60 and the 4 and that's your answer

Step-by-step explanation:

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If you have 6 donuts and they cost 2.70 what is the cost for one donut

Lilit [14]

Answer:

<h2>0.45 </h2><h2 />

Step-by-step explanation:

<u> 2.70 </u>

6 donuts

= 0.45 each donut

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3 years ago

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Jan has a box of magnets. She finds 21 more magnets. She now has a total of 33 magnets. How many magnets did Jan have to start?

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The answer for this question is 12 magnets. Hope this helps!

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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: $c^2 = 9dp$

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3 years ago

Advocard [28]

9)its a fraction

x=−451/19

y=−302/19

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Line 1: y = 5x +13

Line 2: y = 5x + 12

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During a study, he finds that 12 out of 32 deer were affected by parasites. How many of the 1200 deer in the local population would he expect to be affected by parasites?

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