Answer:
a. -6
Step-by-step explanation:
first, add 1/6x to both sides
then, make 2/3x 4/6x.
then, multiply both sides by 6.
then, divide both sides by 5.
What is the distance between -34 and 16
Answer:
1) 50
2) -18
Step-by-step explanation:
2) what I did was subtract -34 from -16
The distance between -34 and 16 as requested is; 50
The distance between two points, x and y on the number line is the absolute value of their difference.
Distance = | x -y |
In this scenario; the distance between -34 and 16 is therefore;
Distance = | -34 - 16|
Distance = | -50 |
In essence, Distance = 50.
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Find the distance between the two points. (2,7) and (−18,22)
Answer:
d = 25
Step-by-step explanation:
d = sqrt( (y2 - y1)^2 + (x2 - x1)^2 )
d = sqrt( (7 - 22)^2 + (2 - (-18) )^2 )
d = sqrt ( (- 15)^2 + 20^2 )
d = sqrt ( (225) + (400) )
d = sqrt (625)
d = 25
Need help asap
How many solutions does 5 - 2x = 3 + x -4 - 3 have
A. No solution
B. two
C. one
D.infinite
In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations
In a normal distribution, 95% of the data falls within two standard deviations.
What is a normal distribution?
The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.
Here,
We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.
We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.
Hence, In a normal distribution, 95% of the data falls within two standard deviations.
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Sarah was given an exit slip with the problem: "45 is 75% of what?" Below is how she set up the equation with equivalent ratios.
Was she correct ? Or is there an error that can be corrected?
1.yes,she is correct
2.no, she should have set it up x/45 = 100/45
3.no,she should have set it up 45/x =75/100
The answer should be 60 if im correct.
Jessie is going to the county fair. The cost of admission is $5.00 and it is $2.00 for each ride. If Jessie has $19.00, Write an equation to determine how many rides Jessie can ride. Draw and use algebra tiles to solve.
By direct calculation, we will see that Jessie can go to 7 rides in the county fair.
So we know that the cost of admission is $5.00 and each ride costs $2.00.
So if you go to the county fair and go to x rides, the cost is:
c(x) = $2.00*x + $5.00
And you have $19, then by solving:
c(x) = $19
We can find the number of rides at which Jessie can go.
$19 = $2.00*x + $5.00
$19 - $5 = $2*x
$14 = $2*x
$14/$2 = x = 7
Jessie can go to 7 rides.
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2E What is the greatest whole number less than 1000 that:
(1) can be expressed as the sum of two consecutive whole numbers, and
(2) can be expressed as the sum of three consecutive whole numbers, and
(3) can be expressed as the sum of five consecutive whole numbers
Answer:
(1) 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
Step-by-step explanation:
(1) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n + (n+1) < 1000[/tex]
[tex]2\cdot n +1 < 1000[/tex] (Eq. 1)
Then we solve the inequation by algebraic means:
[tex]2\cdot n < 999[/tex]
[tex]n < \frac{999}{2}[/tex]
[tex]n < 499.5[/tex]
Which means that greatest value of [tex]n[/tex] is 499. In consequence, 499 and 500 are the greatest consecutive whole numbers whose sum is less than 1000.
(2) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n+(n+1)+(n+2) < 1000[/tex]
[tex]3\cdot n + 3 < 1000[/tex] (Eq. 2)
Then we solve the inequation by algebraic means:
[tex]3\cdot n < 997[/tex]
[tex]n < \frac{997}{3}[/tex]
[tex]n < 332.333[/tex]
Which means that greatest value of [tex]n[/tex] is 332. In consequence, 332, 333 and 334 are the greatest consecutive whole numbers whose sum is less than 1000.
(3) Let be [tex]n \in \mathbb{Z}[/tex], such that:
[tex]n +(n+1)+(n+2)+(n+3)+(n+4) < 1000[/tex]
[tex]5\cdot n + 10 < 1000[/tex] (Eq. 3)
Then we solve the inequation by algebraic means:
[tex]5\cdot n <990[/tex]
[tex]n < \frac{990}{5}[/tex]
[tex]n < 198[/tex]
Which means that greatest value of [tex]n[/tex] is 197. In consequence, 197, 198, 199, 200 and 201 are the greatest consecutive whole numbers whose sum is less than 1000.
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
Answer:
27
Step-by-step explanation:
6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.
classify triangles by its sides and angles geometry
Answer:
1. isosceles and acute
2. Scalene and acute
3. Equilateral and equiangular
4. Right (and isosceles ?)
(not sure ab isosceles for the last one but everything else is fine)
:)
Find two real numbers whose sum is 12 and whose product is 32.
I’m stuck on all of these
:( any help would be very appreciated
Answer:
1. 8x^3+6x^2+7
Step-by-step explanation:
could somebody explain dividing fractions to me?
Answer:
so all you do is cross flip and multiply
Step-by-step explanation:
what that means is you flip the fraction on the right and then cross multiply the two fractions
I hope this helps
Answer:
ok so
lets say
1 2/4 divided by 1/3
okay so first you change the 1 2/4 into a improper fraction
1 2/4 = 6/4
okay then you find a common denominator for both of them so you multiply 6 and 4 times 3 and you multiply 1 and 3 times 4
so the question is now
18/12 divided by 4/12
then you divide the numerator by numerator and the denominator stays the same
heres another way:
you change the number to improper if not already
18/12 divided by 4/12
and then you switch the 4 and the 12 around so its now
18/12 divided by 12/4 and then u change the divide sign into a multiply sign which is
18/12 times 12/4 and then u multiply the numerator by numerator and denominator by denominator
sorry if this is confusing, im bad at explaining >_<
The sum of a number and five more than the number is fifteen
Answer:
5
Step-by-step explanation:
5 plus 5 more than 5 is 15
P=x/n
Solve the equation for x
Answer:
x = PnStep-by-step explanation:
[tex]P = \frac{x}{n}[/tex]
Cross Multiply
[tex]P\times n = x\\\\Pn = x\\\\x =Pn[/tex]
John is a quarterback this year he completed 350 passes which is 70% of all passes he is attempting this year
Answer:
John attempted 500 passes.
Step-by-step explanation:
350 / x = 70%
350 = 0.7x
x = 500
please answer this question below fast
Answer:
42 m^2
Step-by-step explanation:
Answer:
39 meters squared
Step-by-step explanation:
i dont care if i got it wrong because i am a geniuds yhsnkd thanks
HELP ASAP TEST SOON IMMA FAIL THAT B! HELLLPPPPP! DUE IN 10 MINS HELP! 1. What equation is represented on the graph below?
Step-by-step explanation:
1 is the starting point since it is on the the axis.
then you would use the rise over run method to get the fraction. it rises by two and runs by 1 which would get you 2/1. so the answer should be y=1+2/1
(it is an addition sign since it is a positive slope)
Multiply the pairs of numbers and match them to their products.
Answer:
-1.2*-7=8.4 -2.5*-2=5 2.5*-2=-5 -1.2*7=-8.4
Step-by-step explanation:
ABC is a straight line.
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
Answer:
60
Step-by-step explanation:
so 4 of BC will make a AB, so AC =5 of BC =75
therefore BC=75/5=15
If BC=15 and AB=4*BC=4*15=60
One number is 2 more than the other. The small one is 4 times equal to triple the larger number . What is the value of both the larger and smaller number?
Answer:
n + (3n)+7 =
4n+7
And that is the answer
Step-by-step explanation:
Two times a number is 16 more than 10. What is the number?
Answer:
3
Step-by-step explanation:
2n+10=16
2n=6
n=3
These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
у
3
0
1
2
-1
-6
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
1-2
-9
1-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
TTT
5
-13
-22
-33
6
Answer: -15
Step-by-step explanation:
The average rate of change for the interval from x = 7 to x = 8 is -15. The correct option is B.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since the quadratic function has a vertex at (0,3), the equation for the function can be written in vertex form as:
y = a(x - 0)^2 + 3
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola. Let's use the point (1, 2):
2 = a(1 - 0)^2 + 3
Simplifying this equation, we get:
a = -1
So the equation for the quadratic function is:
y = -x^2 + 3
Now we can use this equation to find the average rate of change between x = 7 and x = 8. The value of the function at x = 7 is:
y = -7^2 + 3 = -46
The value of the function at x = 8 is:
y = -8^2 + 3 = -61
The average rate of change between x = 7 and x = 8 is:
(y2 - y1) / (x2 - x1) = (-61 - (-46)) / (8 - 7) = -15
Therefore, the average rate of change for the interval from x = 7 to x = 8 is -15.
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999 to the nearest thousand
Answer: 1000
Step-by-step explanation:
Answer:
1000
Is the answer I think
1.(07.01 LC)
What is the value of x in the equation -6 + x = -52 (1 point)
A1
B11
C-1
D-11
It's -46, because if you add -6 and -46 you get -52
The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches
Answer:
The actual relative abundance will be "7.59".
Step-by-step explanation:
The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.The predicted relative abundance for 3 inches rainfall will be:
= [tex]6.7 - (0.12\times 3)[/tex]
= [tex]6.34[/tex]
The residual will be:
= [tex]actual - predicted \ relative \ abundance[/tex]
= [tex]1.25[/tex]
Now,
The actual relative abundance will be:
= [tex]1.25 + predicted \ relative \ abundance[/tex]
= [tex]1.25 + 6.34[/tex]
= [tex]7.59[/tex]
Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.
12 is what percent of 80?
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[tex] \frac{12}{80} \times 100 = \\ [/tex]
[tex] \frac{4 \times 3}{4 \times 20} \times 100 = \\ [/tex]
[tex] \frac{3}{20} \times 100 = \\ [/tex]
[tex] \frac{100}{20} \times 3 = \\ [/tex]
[tex]5 \times 3 = 15 \: \: \: percent[/tex]
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Simplify 45a²b
__________
30AB
Answer:
15ab
Step-by-step explanation:
if the AB is capital on purpose then its 15a^2b over AB
2/5x+1/4x=26 what is x
Answer:
x = 40
Step-by-step explanation:
2/5x + 1/4x = 26
~Find common denominators
8/20x + 5/20x = 26
~Combine like terms
13/20x = 26
~Multiply 20/13 to both sides
x = 40
Best of Luck!
find the 8th term of the geometric sequence 4, -20, 100, ...
Answer:
312500
Step-by-step explanation:
I believe the pattern is x5 x-5 x5 x-5 and if you follow that pattern, you get 312500. im sorry if im wrong
Caleb runs laps at the local track. The circular track measures 70 feet across its diameter. How many feet will Caleb run if he stays on the outer edge of the track? (Round to the nearest whole number.)
Answer:
Caleb will run 237 ft
Step-by-step explanation:
Answer:
Caleb will run 220 ft.
Step-by-step explanation:
70 * pi = 220 ft
