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olga55 [171]
3 years ago
8

What is the result of −18⋅16 2/3? Enter the result as an improper fraction and as a mixed number.

Mathematics
1 answer:
dlinn [17]3 years ago
8 0
Let's firstly convert the mixed fraction to "improper" and then proceed,

\bf \stackrel{mixed}{16\frac{2}{3}}\implies \cfrac{16\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{50}{3}}\\\\
-------------------------------\\\\
-18\cdot \cfrac{50}{3}\implies \cfrac{-18\cdot 50}{3}\implies \cfrac{-18}{3}\cdot 50\implies -6\cdot 50\implies -300
\\\\\\
\cfrac{-300}{1}\implies -300\frac{1}{1}
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What is 80 in its simplest form as a fraction?
Ann [662]

I believe the correct given problem is:

“What is 80% in its simplest form as a fraction?”

 

Take note that you missed to place the percent sign which is very important.

 

Now to solve this, 80% when converted to decimal form is 0.80 which means that you have 80 parts per 100 parts. Therefore the fraction form of this would be 80 / 100.

fraction = 80 / 100

However this fraction is not yet the answer because we can still simplify this further. First step in simplifying is to divide both the numerator and denominator by 10 so that we are left with:

8 / 10

Next step is to divide by 2:

4 / 5

 

Now we can see that we can no longer divide this (numbers should be whole number). Therefore the simplest form as a fraction is 4/5

 

Answer:

4/5

6 0
3 years ago
How to find x in a quadrilateral
evablogger [386]
X = 360 - (122+58+58)
x = 360 - 238
x = 122
6 0
3 years ago
How much do you pay for the house in total in the above example? Assume you will only be paying PMI for the first 2 years of the
Nataliya [291]

Answer:

start with your current mortgage balance. For a new mortgage, subtract your down payment from the home price. Calculate the LTV. Divide the loan amount by the property value.

Step-by-step explanation:

7 0
2 years ago
Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x - 6)2(x + 2)2
Tpy6a [65]
<span>The number of x-intercepts that appear on the graph of  the function
</span>f(x)=(x-6)^2(x+2)^2 is two (2): x=6 (multiplicity 2) and x=-2 (multiplicity 2)


Solution
x-intercepts:
f(x)=0→(x-6)^2 (x+2)^2 =0

Using that: If a . b =0→a=0 or b=0; with a=(x-6)^2 and b=(x+2)^2

(x-6)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x-6)^2] = sqrt(0)→x-6=0
Adding 6 both sides of the equation:
x-6+6=0+6→x=6 Multiplicity 2

(x+2)^2=0
Solving for x. Square root both sides of the equation:
sqrt[ (x+2)^2] = sqrt(0)→x+2=0
Subtracting 2 both sides of the equation:
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6 0
3 years ago
Read 2 more answers
Solving Exponential Equations (lacking a common base)<br> 31^d=38
Bond [772]

Answer:

d = log 38/log31

d = 1.06

Step-by-step explanation:

31 ^ d = 38

Take log of both sides since the exponential equation have different base (always)

d log 31 = log 38

d = log 38 / log 31

d = 1.58 / 1.491

d = 1.06.

We can actually check to see if this is correct.

Substituting d = 1.06

31^ 1.06 = 38.092

(You see, that's approximately correct)

Keep learning, maths is fun!

8 0
3 years ago
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