Answer:
2.50t + 350 = 3t + 225
Step-by-step explanation:
Let t represent the number of tickets that each class needs to sell so that the total amount raised is the same for both classes.
One class is selling tickets for $2.50 each and has already raised $350. This means that the total amount that would be raised from selling t tickets is
2.5t + 350
The other class is selling tickets for $3.00 each and has already raised $225. This means that the total amount that would be raised from selling t tickets is
3t + 225
Therefore, for the total costs to be the same, the number of tickets would be
2.5t + 350 = 3t + 225
Answer:
Consider the given equation.
4sinxsin2xsin4x=sin3x
2(2sin2xsinx)sin4x=sin3x
We know that
2sinAsinB=cos(A−B)−cos(A+B)
Therefore,
2[cos(2x−x)−cos(2x+x)]sin4x=sin3x
2[cosx−cos3x]sin4x=sin3x
2sin4xcosx−2sin4xcos3x=sin3x
We know that
2sinAcosB=sin(A+B)+sin(A−B)
Therefore,
sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x
sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x
sin(5x)−sin(7x)=sin(x)
We know that
sinC−sinD=2cos(
2
C+D
)sin(
2
C−D
)
Therefore,
2cos(
2
5x+7x
)sin(
2
5x−7x
)=sinx
2cos(
2
12x
)sin(
2
−2x
)=sinx
2cos(6x)sin(−x)=sinx
−2cos(6x)sin(x)=sinx
cos6x=−
2
1
6x=2nπ±
3
2π
x=
3
nπ
±
9
π
Hence, the value is
3
nπ
±
9
π
.
Answer:
ALEKS lol.
Step-by-step explanation:
240000 will be the answer.
Further explanation:
The following steps can help to calculate the given product mentally.
Given: 10*20*30*40
<u>Step 1:</u>
As we can see that there are zeroes with each number so we will count the total number of zeroes that is 4. So there will be four zeroes in the answer.
<u>Step 2:</u>
Now we multiply the numbers excluding the zeroes
i.e. 1*2*3*4
The product is 24.
<u>Step 3:</u>
The zeroes will be written to the right of the product of numbers.
i.e. 240000
Hence, the given steps will help us to find the product mentally.
<u>Keywords:</u> Product, oral product
<u>Learn More at:</u>
#LearnwithBrainly
