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Over [174]
3 years ago
15

3,000 is 10 times as much as

Mathematics
2 answers:
REY [17]3 years ago
6 0
3,000 is 10 times as much as 300
nalin [4]3 years ago
4 0

3,000 is 10 times as much as

3000 = 10 times of what number

We need to find 10 times what number gives us 3000

Let the unknown number be x

3000 = 10 times x

3000 = 10x

To solve for x, we divide by 10 on both sides

\frac{3000}{10}=\frac{10x}{10}

300 = x

So, the unknown number is 300

3000 = 10 times 300

3000 is 10 times as much as 300


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Tori and Jada use a dot plot to display the points that each scored during 14 basketball games.
mestny [16]
Is that the question??
5 0
3 years ago
Rewrite with only sin x and cos x.
Annette [7]

Option A

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

7 0
3 years ago
Which of the following is a solution of x2 + 4x + 10?
alexira [117]
The solution is 4x+2x=6x then 6x+10=solution
4 0
3 years ago
Read 2 more answers
Discriminant of 2x2 - 4x + 7 = 0
nika2105 [10]

Answer:

1

Step-by-step explanation:

The discriminant of the quadratic equation 2x2+4x-7=0 is 1

3 0
3 years ago
Find the greatest common factor of<br> factorization.<br> 6. 98, 140
lisabon 2012 [21]

Answer:

The greatest common factor is 2

Step-by-step explanation:

the greatest common factor is 2 because 6 98 and 140 are all numbers that can be multiplied by 2

5 0
3 years ago
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