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nekit [7.7K]
2 years ago
10

Susan makes and sells purses.The purses cost her $12 each to make, she sells them for $25.This Saturday, she is renting a booth

at a craft fair for $60. Write and solve an equation that can be used to find the number of purses Susan must sell to make a profit of $250 at the fair.

Mathematics
2 answers:
Rina8888 [55]2 years ago
8 0

Answer:

Step-by-step explanation:

timama [110]2 years ago
5 0

Answer:  The picture is attached with the answer and the step-by-step explanation of how to get to the answer.

Step-by-step explanation:

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Find the exact value by using a half-angle identity. sin(5pi/12)
anzhelika [568]

Find <span>tan<span>(<span><span>5π</span>12</span>)</span></span> and sin ((5pi)/12)
Answer: <span>±<span>(2±<span>√3</span>)</span>and±<span><span>√<span>2+<span>√3</span></span></span>2</span></span>

Explanation:

Call tan ((5pi/12) = t. 
Use trig identity: <span><span>tan2</span>a=<span><span>2<span>tana</span></span><span>1−<span><span>tan2</span>a</span></span></span></span>
<span><span>tan<span>(<span><span>10π</span>12</span>)</span></span>=<span>tan<span>(<span><span>5π</span>6</span>)</span></span>=−<span>1<span>√3</span></span>=<span><span>2t</span><span>1−<span>t2</span></span></span></span>
<span><span>t2</span>−2<span>√3</span>t−1=0</span>

<span>D=<span>d2</span>=<span>b2</span>−4ac=12+4=16</span>--> <span>d=±4</span>

<span>t=<span>tan<span>(<span><span>5π</span>12</span>)</span></span>=<span><span>2<span>√3</span></span>2</span>±<span>42</span>=2±<span>√3</span></span>

Call <span><span>sin<span>(<span><span>5π</span>12</span>)</span></span>=<span>siny</span></span>
Use trig identity: <span><span>cos2</span>a=1−2<span><span>sin2</span>a</span></span>
<span><span>cos<span>(<span><span>10π</span>12</span>)</span></span>=<span>cos<span>(<span><span>5π</span>6</span>)</span></span>=<span><span>−<span>√3</span></span>2</span>=1−2<span><span>sin2</span>y</span></span>
<span><span><span>sin2</span>y</span>=<span><span>2+<span>√3</span></span>4</span></span>
<span><span>siny</span>=<span>sin<span>(<span><span>5π</span>12</span>)</span></span>=±<span><span><span>√<span>2+<span>√3</span></span></span>2</span></span></span>

5 0
3 years ago
What is the discount if the price is 55 and the sale price is 46.75
SVEN [57.7K]
Starting: 46.75
After 55% discount: 21.04
Total: $21.04
5 0
3 years ago
What is the reflection image of p(0, 0) after two reflections, first across x = -3 and then y = 4 ?
Butoxors [25]
The reflection point P' would be (-6, 8)
3 0
3 years ago
The product of Jack's age and Florence's age is 266. Jack is 14 years<br> old. How old is Florence?
inysia [295]

Answer:

19

Step-by-step explanation:

you divide 266 by 14

5 0
3 years ago
Read 2 more answers
Can some one help me graph y=4x + 5 I keep doing something wrong.
Delvig [45]

Answer:

y = - 3x + 4

Step-by-step explanation:

Line is passing through the points (1, 1) & (0, 4)

Slope of line = (4-1)/(0-1) = 3/(-1) = - 3

Equation of line

y = mx + b

Here m = - 3, b = 4

y = - 3x + 4

Using point (1, 1)

y - 1= - 3(x - 1)

y = - 3x +3 +1

y = - 3x + 4

6 0
2 years ago
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