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Mandarinka [93]
3 years ago
7

Write an equivalent expression to 2x-1/2 - 4x + 4/3

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0

Answer:

-4x+5/3

Step-by-step explanation:

-2x+5/6

multiply by 2

-4x+5/3

you can also check by plugging in a number for x and see if the answer is the same.

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The minute hand of a clock is six (6) inches long. a. How far does the tip of the minute hand move in 24 hours? Write your answe
kompoz [17]

Answer:

The tip of the minute hand move in 24 hours is 150.85 inches.

Step-by-step explanation:

Given : The minute hand of a clock is six (6) inches long.

To find : How far does the tip of the minute hand move in 24 hours?

Solution :

We know that,

1 hour = 60 minute

24 hour = 24\times 60=1440

The angle form is \theta=1440.

The radius is r=6 inches

Using length of arc formula,

l=2\pi r\times \frac{\theta}{360}

l=2\times \frac{22}{7}\times 6\times \frac{1440}{360}

l=2\times \frac{22}{7}\times 6\times 4

l=150.85

Therefore, the tip of the minute hand move in 24 hours is 150.85 inches.

8 0
3 years ago
If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages
JulijaS [17]

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

(x-18)(d+5)=xd

xd+5x-18d-90=xd

5x-18d=90            .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

(x-24)(d+8)=xd

xd+8x-24d-192=xd

8x-24d=192

x-3d=24       ... (2)

Subtract 5 times of equation (2) from equation (1).

5x-18d-5(x-3d)=90-5(24)

5x-18d-5x+15d=90-120

-3d=-30

d=10

Substitute d=10 in equation (1).

5x-18(10)=90  

5x-180=90  

5x=90+180

5x=270

Divide both sides by 5.

x=54

Total number of pages

xd=(54)(10)=540

Therefore , the total number of pages is 540.

3 0
3 years ago
Find the area of the following figure.
Lubov Fominskaja [6]
The area is 82,944 it that because you multiply when it come to area
5 0
3 years ago
Plz help asap this table represent a quadratic function with a vertex a (1,2) what is the average rate of change for the interva
Advocard [28]

Answer:

9

Step-by-step explanation:

Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.

f(5) = 18

f(6) = ?

=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k

Where, h and k are the given vertex of the function = (1, 2).

h = 1, k = 2

Thus,

f(x) = a(x - 1)² + 2

Find the value of a by using any of the points given in the table.

Using (3, 6), we have the following,

6 = a(3 - 1)² + 2

6 = a(2)² + 2

6 = 4a + 2

Subtract 2 from both sides

6 - 2 = 4a

4 = 4a

Divide both sides by 4

1 = a

a = 1

Let's find f(6) using f(x) = a(x - 1)² + 2

Plug the value of a and x

f(6) = 1(6 - 1)² + 2

f(6) = 25 + 2

f(6) = 27

==>Find the rate of change/slope

f(5) = 18

f(6) = 27

Rate of change =

\frac{f(6) - f(5)}{6-5}

\frac{27- 18}{6-5}

\frac{9}{1}

Rate of change = 9

4 0
3 years ago
Can someone help me with number 3 please and I thank you so much
kiruha [24]

Answer:

0.04 because they all equal to 4/10 except for that one.

Good luck with your schoolwork/homework!

---------------------------------------------------------------------

Apologies in advance for wrong answers or bad explanation.

7 0
3 years ago
Read 2 more answers
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