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nikklg [1K]
1 year ago
9

{10}^{3} ) \div 3" alt="(3 \times {10}^{3} ) \div 3" align="absmiddle" class="latex-formula">I need to find 2/3 of this but it wont give me the answer to multiply :|
Mathematics
1 answer:
hoa [83]1 year ago
3 0

Given the expression :

(3\times{10}^3)\div3

We need to find 2/3 of the given

The value of the given expression will be :

\frac{3\times10^3}{3}=10^3

2/3 of the value of the result will be :

\frac{2}{3}\cdot10^3=\frac{2}{3}\cdot1000=\frac{2000}{3}=666\frac{2}{3}

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Simplify.<br> 7 (x-1) -2 (x-1)
FinnZ [79.3K]

Answer: 5x-5

Step-by-step explanation:

7 (x-1) -2 (x-1)

7x-7-2x+2

Combine like terms:

7x-2x=5x

-7+2=-5

Answer simplified is 5x-5.

5 0
2 years ago
Two students withheld their scores to determine the strength of the model. Using the actual line of best fit equation, predict t
Sedaia [141]

Answer:

The value of y is 89.55 at x=15 and 60.69 at x=9.

Step-by-step explanation:

The equation of best fit line is

y=4.81x+17.4

where, y is scores of two students after x working hours.

We need to find the score after 15 and 9 hours.

Substitute x=15 in the given equation.

y=4.81(15)+17.4

y=89.55

Substitute x=9 in the given equation.

y=4.81(9)+17.4

y=60.69

Therefore, the value of y is 89.55 at x=15 and 60.69 at x=9.

8 0
2 years ago
Read 2 more answers
Graph each point on a coordinate plane. Name the quadrant in which each is located
vichka [17]

Answer:

14. Quadrant IV

13. Quadrant II

12. Quadrant III

11. Quadrant I

15. -17

16. -1

17. 7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H
aivan3 [116]

Answer:

Han= 24 minutes

His sister= 24 minutes

His Dad= 36 minutes

Grandmother= 42 minutes

Step-by-step explanation:

Please see attached picture for full solution.

Where the working split, see the right hand side.

The question states that Han's Dad sits 1.5 times as long as both Han and his sister. There could be 2 interpretations for this:

- Dad sits for 1.5 times of (Han and his sister)

- Dad sits for 1.5 times of Han and 1.5 times of Han's sister

I've done the working for both scenarios and found out that the 1st case cannot be true since Dad would've sat for 50.4 minutes when the bus ride is only 42 minutes! Moreover, there wouldn't be enough information to know how long Han and his sister sat for.

The second case is possible and it's working is on the right.

Feel free to ask if you have any enquiries :)

3 0
3 years ago
option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar
motikmotik

Answer:

The equation is given below as

\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x

Step 1:

We will work on the left-hand side, we will have

\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}

By substituting the identity above, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\  \end{gathered}

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}

Here, we will use the definition of subtraction

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

Step 3:

We will apply the double number identity given below

\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}

By applying this, we will have

\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}

Here, we will use the double number identity

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

5 0
1 year ago
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