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Anestetic [448]
3 years ago
10

Solve for f. Round your answer to 2 decimals. 9f = {(12f – 2)

Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Answer:

f=0.67

Step-by-step explanation:

Let's solve your equation step-by-step by isolating f.

9f=12f−2

Step 1: Subtract 12f from both sides.

9f−12f=12f−2−12f

You get:

−3f=−2

Step 2: Divide both sides by -3.

−3f/−3 = −2/−3

You get:

f= 2/3, or f= 0.67

Hope this helps! :)

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The distributive property can be applied to which expression to factor 12x3 – 9x2 + 4x – 3?
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Answer:

3x2(4x – 3) + 1(4x – 3)

Step-by-step explanation:

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3 years ago
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Suppose $1,000 is borrowed for one year at 8% simple interest. How much is due at the end of the year to
AleksAgata [21]

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you will be bankrupt simple!

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How do measurements of time differ for events in a frame of reference that moves at 50% of the speed of light relative to us? At
ZanzabumX [31]

Answer with explanation:

Relation between Speed , Distance and time

Distance =Speed × Time

→It means Speed is inversely Proportional to time.

As distance will remain constant , in that frame of reference

If speed of light in a Medium

                              =s=3 \times 10^8 \frac{\text{meter}}{\text{second}}

Then, time taken to cross the medium = t seconds or hours or another unit of time.

Now, If speed of light is 50% of the speed of light relative to us

    That is Speed of light in another medium

                 =w=\frac{50}{100} \times 3 \times 10^8\\\\=1.5 \times 10^8 \frac{\text{meter}}{\text{second}}

Then, time taken to cross the medium = 2t seconds or hours or another unit of time.

Using Unitary Method

  \rightarrow v_{1}\times t_{1}=v_{2} \times t_{2}\\\\1.\rightarrow 3 \times 10^8 \times t=\frac{50}{100} \times 3 \times 10^8 \times t_{1}\\\\t_{1}=2t\\\\2.\rightarrow 3 \times 10^8 \times t=\frac{99.5}{100} \times 3 \times 10^8 \times t_{2}\\\\t_{2}=\frac{1000t}{995}\\\\t_{2}=\frac{200t}{199}

             

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4 years ago
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The Sognefjord is the deepest fjord in Norway at 1,308 metres (4,291 ft) If a submersible floating on the surface was to dive ve
natali 33 [55]

Answer:

36 minutes

Step-by-step explanation:

Depth of the fjord = 1308 m

Rate at which the submersible dives = 35 meters/minute

Distance to the bottom of the fjord should be 48 m

Distance the submersible has to go underwater is 1308-48=1260\ \text{m}

Time is found by dividing the distance the submersible has to go underwater by rate at which the submersible dives

\dfrac{1263}{35}=36\ \text{minutes}

The time taken by the submersible to dive the required distance is 36 minutes.

6 0
3 years ago
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
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