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Rzqust [24]
3 years ago
6

Julia makes friendship bracelets. She was recently given nine bracelets from different people. At Christmas, she plans to give a

way ome third of her bracelets. She will be left with 23. With how many did she start?
Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

The number of bracelets with she start are 48.

Step-by-step explanation:

Given:

Julia was recently given 9 bracelets. She plans to give 1/3 of her bracelets. She will be left with 23.

Now, we need to find with how many did she start.

Let the bracelets with she start be x.

She plans to give \frac{1}{3}ofx = \frac{x}{3}.

According to question:

x-9-\frac{x}{3}=23

On solving the equation:

\frac{3x-27-x}{3} =23

<em>Multiplying both sides by 3 we get:</em>

3x-27-x=69

2x-27=69

<em>Adding both sides by 27 and then dividing by 2 we get:</em>

x=48

Therefore, the number of bracelets with she start are 48.

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Miguel saved $355 in 5 weeks. He saved equal amounts of money each week. How much money would he save in 15.5 weeks ?
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Answer:

A

Step-by-step explanation:

$355:5

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7 0
3 years ago
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iren2701 [21]

Answer:

(4,-8) and (4, 12)

Step-by-step explanation:

The equation of the hyperbola given is:

\frac{(y-2)^2}{64}-\frac{(x-4)^2}{36}=1

The general form of this hyperbola would be:

\frac{y^2}{a^2}-\frac{x^2}{b^2}=1

Thus, we can see that:

a^2 = 64

a = 8

and

b^2 = 36

b = 6

The distance from one focus to center is called "c", it goes by formula:

c^2=a^2+b^2

Let's find c:

c^2=8^2 + 6 ^2\\c^2=100\\c=10

This is a vertical hyperbola and the center is found from the x and y's on the numerator:

(y-2)^2 means y = 2

(x-4)^2 = x = 4

Center is (4, 2)

We go 10 units vertically up, so from y = 2 , ten units up makes it y = 12

x = 4 and y = 12

(4,12)

We go 10 units vertically down, so from y =2, ten units down makes it y = -8

x = 4 and y = -8

(4, -8)

<u>Foci coordinates:</u>

<u>(4,12) and (4,-8)</u>

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What is the slope between (5,0) and (6,0)
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Answer:

m=0

Step-by-step explanation:

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