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Olenka [21]
3 years ago
8

Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklac

es for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

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Diana has measured a distance of 30 centimeters on a map. The map scale shows that 2 centimeters is equal to five miles
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Answer:

I'm guessing you are wondering how many miles are in the distance. The answer would be 75

Step-by-step explanation:

30 ÷ 2 = 15

15 × 5 = 75

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Match the equations representing parabolas with their directrixes. y + 8 = 3(x + 2)2 y − 14 = -(x − 3)2 y + 7.5 = 2(x + 2.5)2 y
Shkiper50 [21]

Answer:

Part 1) y+8=3(x+2)^{2} -----> y=-8.08

Part 2) y-14=-(x-3)^{2} ---->  y=14.25

Part 3) y+7.5=2(x+2.5)^{2} ---->  y=-7.625

Part 4) y-17=-(x-3)^{2} -----> y=17.25

Part 5) y+7=(x-4)^{2} ----> y=-7.25

Part 6) y-6=-(x-1)^{2} ---->  y=6.25

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

y-k=\frac{1}{4p}(x-h)^{2}

where

(h,k) is the vertex

The directrix is

y=k-p

case 1) we have

y+8=3(x+2)^{2}

the vertex is the point (-2,-8)  

\frac{1}{4p}=3

p=\frac{1}{12}

The directrix is equal to

y=-8-\frac{1}{12}=-8.08

case 2) we have

y-14=-(x-3)^{2}

the vertex is the point (3,14)  

\frac{1}{4p}=-1

p=-\frac{1}{4}

The directrix is equal to

y=14+\frac{1}{4}=14.25

case 3) we have

y+7.5=2(x+2.5)^{2}

the vertex is the point (-2.5,-7.5)    

\frac{1}{4p}=2

p=\frac{1}{8}    

The directrix is equal to

y=-7.5-\frac{1}{8}=-7.625

case 4) we have

y-17=-(x-3)^{2}

the vertex is the point (3,17)      

\frac{1}{4p}=-1

p=-\frac{1}{4}    

The directrix is equal to

y=17+\frac{1}{4}=17.25

case 5) we have

y+7=(x-4)^{2}

the vertex is the point (4,-7)      

\frac{1}{4p}=1

p=\frac{1}{4}    

The directrix is equal to

y=-7-\frac{1}{4}=-7.25

case 6) we have

y-6=-(x-1)^{2}

the vertex is the point (1,6)      

\frac{1}{4p}=-1

p=-\frac{1}{4}    

The directrix is equal to

y=6+\frac{1}{4}=6.25

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Which values for a and b make the statement (a + 2)(b – 9) = 0 true?
nignag [31]
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gogolik [260]
Answer:
B

the equation:
3x-7=9+2x

step 1: subtract 2x from both sides
x-7=9

step 2: add 7 to both sides
x=16
6 0
4 years ago
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