Find the quotient when 154.1 is divided by 23

Mathematics

2 answers:

MissTica3 years ago

7 0

The answer is 6.7
Divide 154.1 by 23 and you get 6.7

Airida [17]3 years ago

6 0

Answer:

6.7

Step-By-Step Explanation:

154.1 ÷ 23 = 6.7

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A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and twenty-one more quarters than dimes. How many

lawyer [7]

Quarters. 34×0.25= 8.50
dimes. 13×0.10= 1.30
Nickels. 4×0.05= 0.20
total=10.00

(21×0.25)+(9×0.10)+(4×0.05)+(4×0.10)+(13×0.25)=10

6 0

3 years ago

Monica does not initially put any money into the account but plans to deposit $153.46 per week.

Dafna1 [17]

M=153.46w, L=128.90+127.68w they will be equal when M=L so

153.46w=128.90+127.68w subtract 127.68 from both sides...

25.78w=128.90 divide both sides by 25.78

w=5

So after five weeks they have deposited the same amount of money.

Each of them has deposited $153.46*5=$767.30, so the account has twice that amount.

Thus the total amount in the account is 767.30*2=$1534.60

4 0

3 years ago

Read 2 more answers

Show that cos(3theta) = 4cos3(theta) − 3cos (theta).

Delvig [45]

Step-by-step explanation:

To prove:

$\cos 3\theta=3\cos^3 \theta-3\sin^2 \theta\cos \theta$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

$\sin^2A+\cos^2A=1$ .......(4)

Taking the LHS:

$\Rightarrow \cos 3\theta=\cos (\theta +2\theta )$

Using identity 1:

$\Rightarrow \cos (\theta +2\theta )=\cos \theta \cos 2\theta-\sin \theta \sin 2\theta$

Using identities 2 and 3:

$\Rightarrow \cos \theta (\cos ^2\theta-\sin^2 \theta )-\sin \theta (2\sin \theta \cos \theta )\\\\\Rightarrow \cos^3\theta -\sin^2\theta \cos \theta -2\sin^2 \theta \cos \theta \\\\\Rightarrow \cos^3\theta -3\sin^2\theta \cos \theta$

Using identity 4:

$\Rightarrow \cos^3\theta -3(1-\cos^2\theta) \cos \theta\\\\\Rightarrow \cos^3\theta-3\cos \theta+3\cos^3\theta\\\\\Rightarrow 4\cos^3\theta -3\cos \theta$