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ra1l [238]
3 years ago
10

3. The formula to find the speed(s) of an object is s = d/t , where d is the total

Mathematics
1 answer:
Inessa05 [86]3 years ago
7 0

Answer:

107.5

Step-by-step explanation:

make d the subject by multiplying both sides by t,d=St . convert 43m to kilometers to get speed in km/hr then multiply it by time (2.5)=0.1075.convert into metres

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Answer:

-4/5 = x

Step-by-step explanation:

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A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the pri
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Answer:

s= 2( lw + hw+ hl)

298

Step-by-step explanation:

w = 8inched

l=12inches

h=4inches

s = 2 ((12×8)+(4×8)+(4×12))

=2 (96+32+48)

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Whats the area?<br><br><br> Please help!!!
nadezda [96]

Answer:

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Step-by-step explanation:

The composite is made up of 2 semicircles and a rectangle:

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7 0
3 years ago
A classmate simplified a rational expression below
lara31 [8.8K]
<h2>Part a) </h2><h2>Explain the error in this simplification.</h2>

Given the simplified expression

1-\frac{2}{x-2}=\frac{x+1}{x+2}

1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)

\:1-2x-4=x^2-x-2

-2x-3=x^2-x-2\:\:

0=x^2-2x-2\:\:

0=\left(x-1\right)\left(x-1\right)

x=1

<u><em>Identifying the Main Error</em></u>

1-\frac{2}{x-2}=\frac{x+1}{x+2}

1-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)   ← ERROR Starts here

<u><em>Here is the Explanation of the Error </em></u>

<u><em /></u>

<u><em /></u>\mathrm{The\:equation\:should\:have\:been\:Multiplied\:by\:LCM=}\left(x-2\right)\left(x+2\right)<em>. </em>In your case you wrongly multiply the equation.

<em><u>CORRECTION</u></em>

<em>HERE IS HOW YOU SHOULD HAVE MULTIPLIED BY </em><em>LCM = (x-2)(x+2):</em>

<em />

1-\frac{2}{x-2}=\frac{x+1}{x+2}

1\cdot \left(x-2\right)\left(x+2\right)-\frac{2}{x-2}\left(x-2\right)\left(x+2\right)=\frac{x+1}{x+2}\left(x-2\right)\left(x+2\right)

\left(x-2\right)\left(x+2\right)-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)

<h2>Part b) </h2><h2>Show your work as you correct the error</h2>

Here is the complete correction of the error.

Considering the expression

1-\frac{2}{x-2}=\frac{x+1}{x+2}

\mathrm{Find\:Least\:Common\:Multiplier\:of\:}x-2,\:x+2:\quad \left(x-2\right)\left(x+2\right)

1\cdot \left(x-2\right)\left(x+2\right)-\frac{2}{x-2}\left(x-2\right)\left(x+2\right)=\frac{x+1}{x+2}\left(x-2\right)\left(x+2\right)

\left(x-2\right)\left(x+2\right)-2\left(x+2\right)=\left(x+1\right)\left(x-2\right)

x^2-2x-8=x^2-x-2

x^2-2x-8+8=x^2-x-2+8

x^2-2x=x^2-x+6

-x=6

\frac{-x}{-1}=\frac{6}{-1}

x=-6

3 0
3 years ago
Work Rate One worker can complete a task in h hours while a second can complete the task in 3h hours. Show that by working toget
Sliva [168]

Answer: t = (3/4)h hours.

Therefore, it takes both of them (3/4)h hours to complete the task.

Step-by-step explanation:

Let

t1 represent the time taken for the one worker to complete a task.

t2 represent the time taken for the second worker to complete a task

And t represent the time taken for both.

t1 = h

t2 = 3h

Let x represent the task.

x = rate × time

r1,r2 and r are the rates at which first, second and both worker works

x = r1(t1). .....1

x = r2(t2). ....2

x = r(t) ....3

And,

r = r1 + r2. ( Rate of both equals sum of rates of the two)

From eqn 1 and 2

r1 = x/t1 = x/h

r2 = x/t2 = x/3h

r = r1 + r2 = x/h + x/3h = 4x/3h

Substituting r = 4x/3h into equation 3

x= r(t)

x = (4x/3h)t

Making t the subject of formula

t = x/(4x/3h)

t = 1/(4/3h)

t = 3h/4

t = (3/4)h hours.

Therefore, it takes both of them (3/4)h hours to complete the task.

7 0
3 years ago
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