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IrinaVladis [17]
2 years ago
8

Joy is planning to purchase a sweater that costs 30$ dollars at her local department store. The sweaters are on sale for for 20%

off.
Which steps are needed to find the sale price of the sweater in words?
Mathematics
1 answer:
Andrew [12]2 years ago
3 0
Since you know the price before the sale, you know that 30$ is 100%. Then you can easily find out how much money is the discount percentage: 0.3 x 20 = 6$.
Then you just have to subtract 6 (the given percent) from 30 (the actual price) and you will get <span>sale price of the sweater.</span>
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alexandrea and imani each think of a number. alexandras number is 8 more than Imanis number. the sum of two numbers is 50. what
juin [17]
Alexandera=a
imani=i

a is 8 more than i or
a=8+i

the sum of the 2 numbers is 50 or
a+i=50

a=8+i
so subsitute 8+i for a in a+i=50
8+i+i=50
8+2i=50
subtract 8 from both sides
2i=42
divide both sides by 2
i=21

subsiutte into a=8+i

a=8+21
a=29



a=29
i=21
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2 years ago
the art club receives $10 plus $2 for every sculpture they sell for a fundraiser. the expression 2x+10 represents the amount the
Len [333]
2x + 10...the common number between these 2 terms is 2...so factor the 2 out

2(x + 5) <==
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Ratio of width to length is 2:3 if the length 18 meters what is the width
weeeeeb [17]

Answer:

12

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Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

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There are 4 consecutive integers that have a sum of 18. What is the value of the least<br> integer?
EleoNora [17]
3,4,5,6

The lowest integer is 3

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2 years ago
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