Using the together rate, it is found that the value that must be discarded is given by x = -9.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given as follows:
Together: [tex]\frac{1}{40}[/tex].Nikki's: [tex]\frac{1}{x}[/tex].Greg's: [tex]\frac{1}{x + 18}[/tex].Hence:
[tex]\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}[/tex]
[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]
[tex]x^2 + 18x = 80x + 720[/tex]
[tex]x^2 - 72x - 720 = 0[/tex]
Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:
[tex]\Delta = (-72)^2 - 4(1)(-720) = 8064[/tex]
[tex]x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9[/tex]
[tex]x_2 = \frac{72 - \sqrt{8064}}{2} = -9[/tex]
They cannot have a negative rate, hence the value that must be discarded is given by x = -9.
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Answer:
X = -10
Step-by-step explanation:
PLATO
I’ll give brianliest to anyone who can help me.
Answer:
the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same
Step-by-step explanation:
Solve for x in -
6(3x-5)-7x=25
Step-by-step explanation:
6 ( 3x - 5 ) - 7x = 25..
18x - 30 - 7x = 25
18x - 7x = 25 + 30
11x = 55
x = 55 / 11
x = 5
[tex]...[/tex]
x=5
Step-by-step explanation:
6(3x-5)-7x=25
18x-30-7x=25
11x-30=25
x=5
Which number sentence is not true?
A. | -1 | > 1/2
B. | -1 | = -1
C. | 1/2 | < | -1 |
D. | -1/2 | < | -1 |
Answer:
Option B
Step-by-step explanation:
|-1| [tex]\neq[/tex] -1
|-1| = 1
Answer:b
Step-by-step explanation: bc it’s right
The invers of 10/4 is
Answer:
4/10
Step-by-step explanation:
Is kilobyte bigger than megabyte.
Answer:
no
Step-by-step explanation:
1 kilobyte = 1000 byte
1 megabyte = 1,000,000 byte
1 kilobyte = 1/1000 megabyte
Answer: no
Answer:
NO!!!! Kilobyte isn't BIGGER than MegabyteStep-by-step explanation:
Here's the table:
1 Kilobyte = 1,024 Bytes
1 Megabyte = 1,024 Kilobytes
1 Gigabyte = 1,024 Megabytes
1 Terabyte = 1,024 Gigabytes
From the table, we can see that Megabyte is bigger than Kilobyte
John spins a fair spinner with 5 equal sections numbered 1 through 5. His spin lands on the number 2. What is the probability that John's next three spins land on the number 2
Using it's concept, it is found that the probability that John's next three spins land on the number 2 is of [tex]\frac{1}{125}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of 5 numbers, one is 2, hence the probability of three consecutive spins landing on two is given by:
[tex]p = \left(\frac{1}{5}\right)^3 = \frac{1}{125}[/tex].
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helpppppopppppoppppppp
A, B and C lie on a straight line.
Given that angle y = 144° and angle z =
92°, work out x.
A
x
Z
The diagram is not drawn accurately.
B
C
You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?
The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2
How to determine the number of flips?The given parameters are:
P(Head) = 70%
The expected number of flipping a head is:
E(x) = 70% * x
The expected number of flipping a tail is:
E(x) = (1 - 70%) * x + 1
Where 1 represents the first flip
When both values are equal, we have:
70% * x = (1 - 70%) * x + 1
Evaluate
0.7x = 0.3x + 1
Evaluate the like terms
0.4x = 1
Divide both sides by 0.4
x = 2.5
Remove the decimal
x = 2
Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2
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Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft
Answer:
Arc length = 5.93 ft
Perimeter = 13.93 ft
Step-by-step explanation:
85/360*2*π*4 = arc length
5.93411946 ft
Perimeter = 4+4+5.93 = 13.93 ft
Solve the following equation x2+6x=27 x = and
Answer:
Step-by-step explanation:
Assuming the question is x^2 + 6x = 27x, subtract 6x from both sides. x^2 = 21x. Then, divide both sides by x and you get x= 0, 21
My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?
Can the sides of a triangle have lengths 2, 13, and 14?
Answer:
Yes
Step-by-step explanation:
The larger side is smaller than the other sides combined
(2 + 13) > 14
Hope this helps
Which of the following statements is true for a sphere?
A sphere is the set of all points in space equidistant from a line segment called the radius.
Answer A: A sphere is the set of all points in space equidistant from a line segment called the radius.
A
A sphere is the set of all points in space equidistant from a point called the center.
Answer B: A sphere is the set of all points in space equidistant from a point called the center.
B
A sphere is the set of all points in a plane equidistant from a line segment called the radius.
Answer C: A sphere is the set of all points in a plane equidistant from a line segment called the radius.
C
Answer D : A sphere is the set of all points in a plane equidistant from a point called the center.
The answer choice which is true of a sphere; A sphere is the set of all points in space equidistant from a point called the center.
What is a Sphere?A sphere is a geometrical entity that is characterized as a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space. The given point in discuss is the centre of the sphere, and distance, r is the sphere's radius.
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Is 23/√3 a rational number? Again is 23 over root 3 a rational or irrational number.
Answer: irrational number
Step-by-step explanation:
Let us write it out.
[tex]\displaystyle \frac{23}{\sqrt{3} }[/tex]
Next, we will define ratoinal and irrational.
A rational number is a number that can be written as a whole number, fraction, or decimal that ends / repeats.
An irrational number is any number that cannot be turned into a fraction.
Let us see which category the number given falls into.
[tex]\displaystyle \frac{23}{\sqrt{3} } = 13.27905619\;\;\;\;\;\;\text {it goes on...}[/tex]
This means [tex]\frac{23}{\sqrt{3} }[/tex] is an irrational number.
The first three terms of a geometric sequence are as follows 80, 40, 20 what are the next 2 terms of the sequence
80 40 20 10 5
Step-by-step explanation: Divide 20 by 40 then 40 by 80 They all are divisible by .5so then times .5 to get the next terms
Kayley needs to find the area of a circle. Which process should she use?
Answer:
Find the radius then square it, and multiply by pie.
r = 3
π = 3.14159
a = πr2
a = π(3)2
a = π(9)
a ≈ 28.27
Step-by-step explanation:
You just need to find the diameter of a circle, then halve it and plug in the information to the formula above.
help me please this is due tomorrow
well I can say all but a and g are nets according to that explenation
Please help me with my math please .?
Answer:
Step-by-step explanation:
Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Find the area of the table top in square feet? hurry plss
It is to be noted that the area of the Trapezoid is: 28 Feet. See the details of the solution below.
What is the formula for the area of a Trapezoid?The formula for the area of a regular Trapezoid is:
A = h * ((a+b)/2);
Where
A = Area
a = Short Base
b = Long Base
h = Height
So what is the solution for the above trapezoid?Following the above formula,
A = 4 * ((5+9)/2)
A = 4 * (14/2)
A = 4 * 7
A = 28 Feet.
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What percentage of the large circle does the small circle take up?
Please please help
Answer:
25 percent.
Step-by-step explanation:
To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.
can someone explain how to do this
im not very smart
Answer:
50.24sq units
Step-by-step explanation:
4^2=4x4
4x4=16
16x3.14=50.24
i need help with v-math
Answer:
Y=p/9
Step-by-step explanation:
Can u see p = 9y?
But there is no option of p = 9y
So try to work a bit on the formula to y = p/9
what is the measure of angle 7 ?
Answer:
97°
Step-by-step explanation:
Please see attached
322 children came to the summer carnival. if each child was given 3 free ride passes for attending, how many free ride passes were given away?
Answer: 996 free ride passes were given away
Step-by-step explanation:
If each child was given 3 free ride passes, then you have to do 332 x 3 which is 996
If f(x) = x2 – 2x and g(x) = 6x 4, for which value of x does (f g)(x) = 0? –4 –2 2 4
The sum of function is a way of adding two or more functions together
The values of x for which f(g(x)) = 0 are -2/3 and -1/3
Sum of functionsThe sum of function is a way of adding two or more functions together
Given the following functions
f(x) = x² - 2x
g(x) = 6x + 4
f(g(x) = f(6x +4))
f(6x+4) = (6x+4)² - 2(6x+4)
(6x+4)² - 2(6x+4) = 0
(6x+4) = 0 and 6x+4-2 = 0
x = -2/3 and -1/3
Hence the values of x for which f(g(x)) = 0 are -2/3 and -1/3
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What is the approximate circumference of the circle that has a center (3, 1) and passes through the point (3, 4)?
Step-by-step explanation:
You use the Distance Formula
d= √( x2 - x1 )^2 + ( y2 - y1 )^2
substitute
r= √(3-3)^2 + (4-1)^2
√0^2 + 3^2
r = √9
r = 3
Now you can use the equation for finding the circumference
2πr
2π3
≈ 6π or 18.85
Which values of x and y would make the following expression represent a real number? (4 5i)(x yi) x = 4, y = 5 x = –4, y = 0 x = 4, y = –5 x = 0, y = 5
The product will be a real number when x = 4 and y = -5.
Which values of x and y should we use?We have the product of complex numbers:
[tex](4 + 5i)*(x + yi)[/tex]
We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:
[tex](x + yi) = (4 - 5i)[/tex]
Now, if we take the product, we get:
[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]
So we can see that the outcome is a real number.
Then we must have x = 4 and y = -5.
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Answer: C
Step-by-step explanation:
1, 2, 2, 3, 4, 6, 8, 9, 10
What is the median?
Answer:
4
Step-by-step explanation:
Mean (Average) 5
Median 4
Range 9
Mode 2, appeared 2 times
Geometric Mean 3.8971508839086
Largest 10
Smallest 1
Sum 45
Count 9
Sorted Data Set: 1, 2, 2, 3, 4, 6, 8, 9, 10
help with practice problem
Answer:
-5<x<-3
Step-by-step explanation:
Hope this helps! ;-)
