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3 years ago

15

Mrs. Taylor is making identical costumes for the dancers in the dance club. She uses 126 pink ribbons and 108 yellow ribbons. Wh

at is themaximum possible number of costumes she can make?

1 answer:

Archy [21]3 years ago

6 0

She can make a maximum of 108 costumes, with one yellow and one pink ribbon being used for each costume

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Emily buys a CD for $12.07,including tax. She gives the clerk a $20 bill. How many change should she receive?

soldi70 [24.7K]

Answer:

$7.93

Step-by-step explanation:

20 - 12.07 = 7.93

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3 years ago

Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex

siniylev [52]

Answer:

$\large \boxed{\sf \ \ \ p=-11 \ \ \ }$

Step-by-step explanation:

Hello,

$\alpha \text{ and } \beta \text{ are the roots of the following equation}$

$2x^2+6x-7=p$

It means that

$2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\$

And we know that

$\alpha= 2\cdot \beta$

So we got two equations

$2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1$

For $\beta =0, \ \ \alpha =0, \ \ p = -7$

For $\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11$

I assume that we are after two different roots so the solution for p is p=-11

b) $\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1$

So a quadratic equation with the expected roots is

$x(x-1)=x^2-x$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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2 years ago

The scale on a map indicates that 1 inch corresponds to an actual distance of 95 miles. two cities are 4.5 inches apart on the m

arlik [135]

The two cities are actually 427.5 miles apart.

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3 years ago

Please help me solve this.

Doss [256]

Answer:

63

Step-by-step explanation:

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2 years ago

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Ralph is moving and needs to hire a moving company. "Pack 'n' Move" charges a $50 fee plus $25 an hour and "We Move Your House"

vaieri [72.5K]

Answer:

50+25x=70+20x

Step-by-step explanation:

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3 years ago