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Serga [27]
3 years ago
11

What is the solution to this equation? 6(x-3)=3x+9

Mathematics
1 answer:
Vikki [24]3 years ago
6 0

Answer:

X = 9

Step-by-step explanation:

6(x−3)=3x+9

(6)(x)+(6)(−3)=3x+9

6x+−18=3x+9

6x−18=3x+9

6x−18−3x=3x+9−3x

3x−18=9

3x−18+18=9+18

3x=27

3x /3  =  27 /3

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natulia [17]

You can use the sum of angles identities, then rearrange to put the result in the form of tangents.

\displaystyle\frac{\sin{(x+y)}}{\sin{(x-y)}}=\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}\\\\=\frac{\left(\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}{\left(\frac{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}\\\\=\frac{\tan{(x)}+\tan{(y)}}{\tan{(x)}-\tan{(y)}}

6 0
3 years ago
A home improvement store has at least $18,000 worth of lawnmowers to sell during the summer. If the cost of each lawnmower is $4
telo118 [61]

Hi!

Your answer would be: D) Exactly 45

Reason being: $18,000 divided by $400 equals 45 lawn mowers.

Therefore, the answer is D, exactly 45.

Hope this helps!

5 0
3 years ago
If an 8" X 8" square cake serves 8 people, how many 24" X 24" square cakes are needed for a
tigry1 [53]

Answer:

2 24" X 24" square cakes are needed.

Step-by-step explanation:

This question is solved by proportions.

Area of a square:

The area of a square of side l is given by:

A = l^2

8" X 8" square cake serves 8 people

Thus:

A = 8*8 = 64

Area of 64 serves 8 people, so for 1 people, an area of 64/8 = 8 is needed.

144 people

The total area needed is:

A = 144*8 = 1152

How many 24" X 24" square cakes?

24*24 = 576

1 cake - 576

x cakes - 1152

Applying cross multiplication:

1152/576 = 2

2 24" X 24" square cakes are needed.

4 0
3 years ago
Of the 245 shoppers at shop n save yesturday 2/7 completed the costumer survey. How many shoppers did not complete the survey
Akimi4 [234]

175 shoppers didn't complete the survey

245 x 2/7= 70

245-70= 175

6 0
3 years ago
A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be aft
RideAnS [48]
<span>2300*(0.65)^4 is the correct answer to gain resale value of your computer after 4 years</span>
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3 years ago
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