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wlad13 [49]
3 years ago
6

What is unit form for 8/9 ÷ 4/9

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

2/1 or 2

Step-by-step explanation:

8/4 is 2

9/9 is 1

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What is an extraneous solution to the equation b/b-3 -5/b=3/b-3 ?
storchak [24]
\frac{b}{b-3} - \frac{5}{b} = \frac{3}{b-3}  \\   \frac{ b^{2} -5(b-3)}{b(b-3)} =\frac{b}{b-3} \\  \frac{ b^{2} -5b+15}{b^2-3b} =\frac{b}{b-3} \\ (b-3)(b^{2} -5b+15)=b(b^2-3b) \\ b^3-8b^2+30b-45=b^3-3b^2 \\ 5b^2-30b+45=0 \\ b^2-6b+9=0 \\ (b -3)(b-3)=0 \\ b=3

To check: 3/3-3 - 5/3 = 3/0 - 5/3 which is not defined.

Therefore, b = 3 is an extraneous solution.
5 0
3 years ago
Read 2 more answers
After Hillary realized her clock was running 30 minutes fast, she used a knob on the clock to turn the minute hand back 30 minut
iragen [17]

Answer:

Counterclockwise rotation

Step-by-step explanation:

It’s counter clockwise rotation because The clock was 30minutes faster , so she turned the minute hand backwards to correct the clock. Counterclockwise is opposite of clockwise

8 0
3 years ago
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The amount of sales tax on a new car is directly proportional to the purchase price of the car. Victor bought a new car for $30,
Airida [17]

Answer:

Rita paid 47,500 dollars for the purchase price.

Step-by-step explanation:

We are given the sales tax on a new car is directly proportional to the purchase price of the car which means there is is something k such that

when you multiply it to the sales tax you get the purchase price.

Let's set this equation:

y=kx

Let y represent the purchase price and x the sales tax.

The second sentence tells us that (x,y)=(1500,30000).

We can plug this into y=kx to find the constant k.  (Constant means it stays the same no matter what the input and output is).

So we have:

30000=k(1500)

300    =k(15)      I went ahead and divided previous equation by 100.

Now divide both sides by 15:

300/15=k

Simplify:

20=k

So the equation to use the answer the question is

y=20x

where y is purchase price and x is sales tax.

So we want to know the purchase price on a car if the sales tax is 2375.

So replace x with 2375:

y=20(2375)

y=47500

3 0
3 years ago
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What are 3 different quotients that equal 4 to the negative 5th power
Ilia_Sergeevich [38]
4^-5=1/1024 or 2/2048 or 3/3072
8 0
3 years ago
For which value(s) of x will the rational expression below equal zero? Check all that apply.
geniusboy [140]

Answer:

x = 5 and -2

Step-by-step explanation:

Given the function of x to be;

f(x) = (x-5)(x+2)/x+1

The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;

If f(x) = 0, then;

(x-5)(x+2)/x+1 = 0

Cross multiplying;

(x-5)(x+2) = 0

(x-5) = 0 and x+2 = 0

x = 5 and x = -2

The value of x that will make the function zero is therefore 5 and -2

4 0
3 years ago
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