Subtract
3-9 = ???????
Answer:
-6
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
What property is being used to go from step 4 to step 5?
The property which is being used to go from step 4 to step 5 is associative Property .
We know that "+" may be a positive sign, "−" may be a negative sign. once a symbol isn't denoted before variety, it always means that it's positive.The law of Associative Property of Addition implies that once three completely different integers are other, the obtained result's not stricken by the pattern of addition followed. The pattern won't influence the proper summation result. Again, allow us to have three integers X, Y and Z. As per the property, we've got the subsequent example supported X+(Y+Z) = (X+Y)+Z.In step 4 it is written that 30 + (-19x) -3 = 0
27 - 19x = 0
According to associative Property is we interchange the number with their sign it gives the same solution as this before .
On interchanging we get ,( -19x +30) -3 = 0
- 19x + 27 = 0
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Write the following multiplication using exponents 9•9•9•9•9•9
Answer:
9⁶
Step-by-step explanation:
9 is the number you are multiplying
6 is how many times you are multiplying the 9
Answer:9^6
Step-by-step explanation:
count each time 9 is times to get the answer.
What am I doing wrong here?
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, we have that:
There are 60 balls, hence N = 60.20 balls will be drawn, hence n = 20.3 balls are correct, hence k = 3.You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]
Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.
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A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 60 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
____________ miles
Answer: You would only be able to pick up 50miles worth of signal from the transmitter. P.s. i hope im not wrong
Step-by-step explanation:
Can someone please help me with the answer and explanation?
Answer: c.
Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction
Find the value of x, please help
Answer: 45
Step-by-step explanation: The right angle is 90 and the total is 180 so that would be 180 - 90 - 45 which would equal 45
Hope this helps :)
Let f(x) = tan(x)-2/x. Let g(x) = x^2+8.
What is f(x)*g(y)?
Answer:
Step-by-step explanation:
(x)*g(y)
=(tanx-2/x)*(y²+8)
=y²tanx+8tanx-2y²/x-16/x
The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
What is the product of functions?When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.
Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,
[tex]f(x)\times g(x)[/tex]
Let suppose, a function f(x) is
[tex]f(x)= tan(x)-\dfrac{2}{x}[/tex]
Let another function g(x) is,
[tex]g(x)= x^2+8[/tex]
Then g(y), will be,
[tex]g(y)= y^2+8[/tex]
The product of this two function is,
[tex]f(x)\times g(y)= \left(\tan(x)-\dfrac{2}{x}\right)\times(y^2+8)\\f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
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last year lien earned $1,300 more then get husband. together they earned $58,600. how much did each of them earn?
Answer:
lien earned 29950, husband earned 28650
Step-by-step explanation:
you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
help fill in the chart
© Solve for x
5(x – 4) = -50
х
Answer:
x = - 6
Step-by-step explanation:
Let's do this quickly,
5(x – 4) = -50
5x - 20 = -50
5x = -50 + 20
x = - 30/5
x = -6
Please help me with this question.
How can proportional reasoning help solve a problem?
5 + x + 8w
how many terms are in the expression
Answer:
3
Step-by-step explanation:
Term are the number and signs to make a problem.
Ex: 4+5=9
all those are terms
10 POINTS HELP ASAP PLEASE IF YOU DONT KNOW THE ANSWER DONT JUST WRITE ANSWER FOR THE POINTS PLEASE
Use the image below to answer the question.
Using the segment addition postulate, find the length of segment EF.
EG = 17
FG = 12
FIRST ONE - 12
SECOND ONE- 5
THRIDS ONE- 29
Answer:
(b) EF = 5
Step-by-step explanation:
Given point F lies on segment EG, you want to find EF when FG = 12 and EG = 17.
Segment additionThe segment addition postulate tells you the whole is the sum of the parts. That is ...
EF +FG = EG
EF +12 = 17 . . . . . substitute given lengths
Subtracting 12 from both sides of the equation, we have ...
EF = 5
It cost Layla $4.70 to send 47 text messages. How many text messages did she send if she spent $15.10?
Answer: 151 messages
Step-by-step explanation:
each messages cost Layla 10 cents. Which means that 151 x 0.10= 15.10
Answer:
151 text messagesStep-by-step explanation:
Given conditions:Layla cost for 47 messages is $4.70.To find:No. of text messages cost if she spent $15.10.Solution:Given,
No. of text messages for $4.70 = 47
So, no. of text messages for $1.00 = [tex]\frac{47}{4.7}[/tex]
Therefore,
No. of text messages for $15.10
= [tex]\frac{47}{4.7}[/tex] × 15.10
= 10 × 15.10
= 151
Hence,
The no. of text messages for $15.10 are 151 (Ans)
Your total restaurant bill for food, drinks, and a 10% tip is $37.40. What is a good estimated
cost for just the food and drinks?
O$33.50
O$37.00
O$36.00
O$34.00
well, the total was really "x", which oddly enough is 100%, but if we include the tip that'd be 100% + 10% = 110%, which we happen to know is $37.40, that's the cost of food and drinks plus tip hmmm so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 37.40& 110 \end{array} \implies \cfrac{x}{3740}~~=~~\cfrac{100}{110} \\\\\\ \cfrac{x}{37.40}=\cfrac{10}{11}\implies 11x=374\implies x=\cfrac{374}{11}\implies x=34[/tex]
Answer:$34
Step-by-step explanation:
1 inch equals 2.54 cm how many inches long is 45.72 centimeters
Answer:
18 inches equals 45.72 centimeters
Step-by-step explanation:
[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]
-7 ___ 3 what is the answer
Answer:
-7 + 10 = 3
Step-by-step explanation:
How many hours in 7 1/3 days.
What's equivalent to 2/5 divided by 6
Geometry, Pls help asap!!!!
Answer:
third one
Step-by-step explanation:
x – 4 = -9 + x
How do I do this
Answer: No Solution
Step-by-step explanation: There isn't an option to get x by itself, leaving you with no Solution.
Heres where it fails:
x - 4 = -9 + x
Get X by Itself
x - 4 = -9 + x
-x -x
-4 = -9
And last time I checked, -4 doesn't equal -9
John eats 3/8s of a pizza one day, 1/4 the next day. Can he eat half the next day? Use addition or
subtraction to justify your answer
By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
Let the total pizza be 1.
On the first day, the fraction of pizza that John ate = 3 / 8
On the next day, the fraction of pizza that John ate = 1 / 4
Total pizza that John ate till now will be calculated using addition:
3 / 8 + 1 / 4
3 / 8 + 2 / 8
5 / 8
Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.
1 - 5 / 8
8 / 8 - 5 / 8
3 / 8
We can see that the half pizza is not left.
So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.
Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
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Find the equation of the circle that passes through the points (7, 3) and (11, −1) and has its centre lying on the line 2x + y = 7.
The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.How to determine the equation of this circle?Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:
(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²
(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²
(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²
(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)
(2h - 18)(4) = (2k - 2)(4)
8h - 72 = 8k - 8
8h - 8k = 64
h - k = 8 .......equation 1.
Since (h, k) lies at 2x + y = 7, we have:
2h + k = 7 .......equation 2.
Solving eqn. 1 and eqn. 2 simultaneously, we have:
h - k = 8
2h + k = 7
3h = 15
h = 15/3
h = 5.
For the value of k, we have:
h - k = 8
5 - k = 8
k = 5 - 8
k = -3.
Next, we would determine the radius of this circle:
Radius, r² = (h - x)² + (k - y)²
Radius, r² = (5 - 7)² + (-3 - 3)²
Radius, r² = (-2)² + (-6)²
Radius, r² = 4 + 36
Radius, r = √40.
Now, we can write the equation of this circle:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - (-3))² = 40
(x - 5)² + (y + 3)² = 40.
x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0
x² - 10x + 25 + y² + 6y - 31 = 0
x² - 10x + y² + 6y - 6 = 0
x² + y² - 10x + 6y - 6 = 0.
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Write all of the trips that would take 2 hours. Show your work.
a. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
b. Walk 3 miles per hour to school, which is 1.5 miles away.
c. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.
Answer:
120divide by2=60
3miles only
160 divide by 80=2 hrs
Step-by-step explanation:
HOW MANY GALLONS OF A 90% ANTIFREEZE SOLUTION MUST BE MIXED WITH 90 GALLONS Of 10% ANTIFREEZE TO GET A MIXTURE THAT IS 80% ANTIFREEZE
630 gallons of 90% antifreeze has to be mixed.
Sum of values of two solutions = Value of mixture
90% =0.9 unit value and amount x we get value 0.9x
10%= 0.1 unit value and amount 90 we get value =0.1*90=9
total mixture =0.80 value x+90 we get value 0.8*(x+90)
0.9x + 9 = 0.8(x + 90)
0.9x + 9 = 0.8x + 90 x 0.8
0.9x – 0.8x = 72 – 9
0.1x = 63
x = 630
Hence, 630 gallons of 90% antifreeze has to be mixed.
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solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?
PLEASE ANSWER ASAP
Answer:
286.44 miles........