SOLUTION
Notice that the total number of tokens is:
[tex]5+7+10=22[/tex]Notice that the number of red token is 5
Therefore the probability of that a selected token is red is:
[tex]P(R)=\frac{5}{22}[/tex]Tea that sells for $2.00 a pound is mixed with a different tea that sells for
$5.00 a pound to produce 40 pounds of a custom blended tea that will
sell for $4.25 a pound. How many pounds of the less expensive tea
should be used in the mixture?
(1) 10
(2) 15
(3) 25
(4) 30
A thing's extent, size, or the total amount is its quantity.
The mixture must contain 10 pounds of affordable tea.
How can I find the quantity of less expensive needed?An answer to the question "how much?" is a quantity, which might be an amount, number, or measurement.
Numbers or unconventional units can be used to express quantities.
Quantity in more complex mathematics can also refer to an undetermined amount in an equation.
Affordable tea costs $2.00.
The price for superior tea is $5.
The price of blended tea is $4.25.
Solution:
$4.25 multiplied by 40 pounds of blended tea equals $170.
Let x represent the quantity of affordable tea, and
The superior tea quantity is (40 - x).
4.25 * 40 = 2x + 5(40 - x)
170 = 2x + 200 -5x
-3x = -30
x = 10
Therefore, the mixture should contain 10 pounds of affordable tea.
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A new minivan costs $24,897. About how much would 4 minivans cost?
Answer: about $100,000.
Step-by-step explanation: i gave an estimate because your answer calls for an estimate, not an exact answer. $100,000 is correct because 24,897*4 = 99,588.
Evaluate. Write your answer as a whole number or as a simplified fraction.
Mikhail drew parallelogram HRIJK with coordinates H(1,0), I(4,0), J(2,1), K(-1,1) on a coordinate plane. find the coordinates of the image after Mikhail rotated clockwise 180° about the origin
If the point (x, y) rotated 180 degrees about the origin, then its image is (-x, -y)
Since point H is (1, 0), then
H' = (-1, 0)
Since point I is (4, 0), then
I' = (-4, 0)
Since point J is (2, 1), then
J' = (-2, -1)
Since point K is (-1, 1), then
K' = (1, -1)
The coordinates of the image after rotated 180 degrees about the origin are
H' (-1, 0), I' (-4, 0), J' (-2, -1), K' (1, -1)
A supermarket sells 500g pots of yoghourt. There is a special offer on yoghourt:
Buy 2 pots and get a 3rd one free!
A week later, the price of a single pot of yoghourt is still the same, but the offer changes to:
Buy 1 pot and get a second one half price!
Is the second offer better than the first? Show working to justify your answer.
The first offer is better from the perspective of a customer but the second one is better from the perspective of a seller.
Here we have different 2 cases, and to find the answer we have to follow a few steps.
First of all, we should simplify these two cases and will try to give them a proper equation format.
Let's assume the price of each yogurt is $x.
Therefore the total price of 2 pots is (2× x) = $2x.
But the condition is if we buy 2 pots, get the 3rd one for free. So, we can purchase a total of 3 pots at the same cost.
∵ If 3 pots cost $2x, then the average cost for each pot is 2x/3 =$0.67x
( average value of each unit = Total value / total unit )
In the second case, if we buy 1 pot we can get the second one at half price.
Therefore, the total price of two pots is, ( x + 0.5x ) = $1.50x
∵ If 2 pots cost $1.50x, then the average cost for each pot is 1.50x/2 = $0.75x
( average value of each unit = Total value / total unit ).
The price of yogurt per pot in the first case < The price of yogurt per pot in the second case.
As $0.67 < $0.75.
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An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p
people is given by the following function.
C (p)=25p
What is the cost of admission for a group of 5 people?
Answer:
c=125 dollars
Step-by-step explanation:
c=25p
p(people)=5
c=25*5
c=125
Point (2,11.9), (4,13) rise over run so what's the answer ?
Answer:
0.55
Step-by-step explanation:
( x1, y1 ) = ( 2, 11.9 )
Here,
x1 = 2
y1 = 11.9
( x2. y2 ) = ( 4, 13 )
Here,
x2 = 4
y2 = 13
Formula : -
Rise over run = ( y2 - y1 )/( x2 - x1 )
Rise over run = ( 13 - 11.9 )/( 4 - 2 )
= 1.1/2
Rise over run = 0.55
2k-3/5k-6 = 2/3 what does k equal to
Answer:
100/21
Step-by-step explanation:
¿Qué es una variable?
Suppose we are given the following.
Line 1 passes through (0, 4) and (-3, 8).
Line 2 passes through (-4,-2) and (4, 4).
Line 3 passes through (4, 1) and (8, 4).
(a) Find the slope of each line.
Slope of Line 1 = 0
0
Slope of Line 2 =
Slope of Line 3 =
0
►
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Answer:
slope: -4/3, perpendicular to lines 2 and 3slope: 3/4, parallel to line 3, perpendicular to line 1slope: 3/4, parallel to line 2, perpendicular to line 1Step-by-step explanation:
Given pairs of points that define three lines, you want to know their slopes, and whether line pairs are parallel or perpendicular.
The lines are defined by point pairs ...
(0, 4) and (-3, 8)(-4, -2) and (4, 4)(4, 1) and (8, 4)SlopeThe slope of a line is given from a pair of points by the formula ...
m = (y2 -y1)/(x2 -x1)
Lines with the same slope are parallel.
Lines with opposite reciprocal slope are perpendicular.
ApplicationLine 1 slope = (8 -4)/(-3 -0) = 4/-3 = -4/3
Line 2 slope = (4 -(-2))/(4 -(-4)) = 6/8 = 3/4
Line 3 slope = (4 -1)/(8 -4) = 3/4
The slopes of the lines are ...
-4/33/43/4Relation of line pairsLines 1 and 2 have slopes that are opposite reciprocals (-4/3 and 3/4), so are perpendicular.
Lines 1 and 3 have slopes that are opposite reciprocals (-4/3 and 3/4), so are perpendicular.
Lines 2 and 3 have identical slopes (3/4 and 3/4), so are parallel.
the difference of the squares of two positive integers is 325 and their difference is 3. what are the numbers
Answer:
figure it out best of luck tho.
What is the diameter of a circle with a circumference of 62.83185? a. 5 units c. 20 units b. 10 units d. 25 units
Answer:
i believe it is 20
Step-by-step explanation:
to find the diameter you just deveide the circumference by pi thats it and i got 20.0101433
so i believe its 20
hope this helped :)
A farmer needs to enclose three sides of a garden with a fence (the fourth side is a river). The farmer has
30 feet of fence and wants the garden to have an area of 108 sq-feet. What should the dimensions of the
garden be? (For the purpose of this problem, the width will be the smaller dimension (needing two sides);
the length with be the longer dimežision (needing one side). Additionally, the length should be as long as
possible.)
length×width = 108
length + 2×width = 30
length = 30 - 2×width
using that in the first equation
(30 - 2×width)×width = 108
-2×width² + 30×width - 108 = 0
the general solution to such a quadratic equation like
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
so,
width = (-30 ± sqrt(30² - 4×-2×-108))/(2×-2) =
= (-30 ± sqrt(900 - 864))/-4 =
= (-30 ± sqrt(36))/-4 = (-30 ± 6)/-4
width1 = (-30 + 6)/-4 = -24/-4 = 6 ft
width2 = (-30 - 6)/-4 = -36/-4 = 9 ft
for width = 6 ft
length = 30 - 2×width = 30 - 12 = 18 ft.
for width = 9 ft
length = 30 - 2×width = 30 - 18 = 12 ft
given the request that the length sound be as long as possible,
width = 6 ft
length = 18 ft
is our solution.
what number groups contain the number -2.22.
1. Jasmine is 5 years younger than twice her sister's age. If Jasmine is 39 years old, how old is her sister?
Let J be Jasmine age and S the sister's age. Then, we have
[tex]2S-5=J[/tex]this equality means Jasmine is 5 years younger than twice her sister's age. Now, we also know that J=39 years then by substituying this value into the last equality, we have
[tex]2S-5=39[/tex]and now, we can solve this equation for S. First, we must move -5 to the right hand side as 5. It reads
[tex]\begin{gathered} 2S=39+5 \\ 2S=44 \end{gathered}[/tex]and finally, we obtain
[tex]\begin{gathered} S=\frac{44}{2} \\ S=22 \end{gathered}[/tex]therefore, Jasmine's sister has 22 years old.
Please help me!
I gotta write 20 charac-ters lol sorry brainly( probably to get a specific answer)
a) The small tire would make 38 rotations
The large tire would make 127 rotations
b) A bicycle with two large wheels would allow traveling faster with each rotation of the pedal .
The problem we are dealing with relates to rotations and circumference where rotation refers to the distance from the center to any point on the shape that remains the same and whereas the circumference is the perimeter of a circle. In one revolution a wheel covers a distance which is rise to its perimeter.Since we are provided that the diameter of the large wheel is 60 inches, so the radius will be 30 inches ( radius = diameter/2) and the radius of the small wheel is 9 inches.
The circumference of a circle is 2πr
for a large wheel the circumference is 2 x 3.14 X 30 = 188.4 inches
for a small wheel, the circumference is 56.52
Since, we know 1 inch is equal to 0.0833333, as the traveling distance = 600 feet = 7200 inches.
Number of rotation = distance / circumference
For large wheel = 7200 /188.4 =38.21 = spprox 38
For small wheel = 7200/56.52 =127.38 = approx 127
Since we bicycle with bigger wheels is preferable as they can go faster than the ones with little wheels since their circumference is more as they cover more area in fewer rotations.
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The probability that your raffle ticket is not a winner is 0.9998. What is probability that your raffle ticket is a winner?
The probability of raffle ticket is a winner is 0.0002.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
Given:
probability that your raffle ticket is not a winner = 0.9998.
Now, we know if we have to find the complement probability we can use
P(E) = 1 - P(not E)
where E is any event.
Here, E = not winner
So, P( raffle ticket is a winner)
= 1- 0. 9998
= 0.0002
Hence, the probability of raffle ticket is a winner is 0.0002.
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Dominique paid $15.50 to join an online music service. She purchases 10 songs each month at a cost of $0.99 per song. Dominique thinks that after 8 months, she will have spent around $75.00 total. Is Dominique's estimate reasonable?
If she thinks that after 8 months, she will have spent around $75.00 total. Dominique's estimate is not reasonable?
Determining whether the estimated amount is reasonableWe have to make use of the given data to find whether amount of $75 which she estimated that she will spent after 8 months is reasonable
Total cost:
Total cost =$15.50 + 10 × $0.99 × 8
Total cost = $15.50 + 9.9 × 8
Total cost = $15.50 +$79.2
Total cost = $94.7
Hence,
$94.70 ≥ $75.00
Based on the above calculation the amount she estimated is not a reasonable amount because the total cost is greater that the estimated amount.
Therefore we can conclude that the estimate is unreasonable.
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The estimate of the Dominique's is not reasonable.
Given that,
Dominique paid $15.50 to join an online music service. She purchases 10 songs each month at a cost of $0.99 per song. Dominique thinks that after 8 months, she will have spent around $75.00 total. Is Dominique's estimate reasonably is to be justified.
Here,
According to the question,
The total cost of the song for 8 months = 8 (0.99 x 10)
= $ 79.2
Total cost = 15.50 + 79.2 = $94.7
Since the total cost exceeds Dominique's estimate so her estimate is not reasonable.
Thus, the estimate of the Dominique's is not reasonable.
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The graph of an exponential function has a y-intercept of 9 and contains the point (2,144). Construct the function that describes the graph.
The graph of an exponential function has a y-intercept of 9 and contains the point (2,144). the function that describes the graph.
y=9(4)^x
This is further explained below.
What is the function that describes the graph.?Generally, the Standard form of an exponential function
y=a b^x
Where
y= is the y component of the graph
x= is the x component of the graph
a and b are equation vaiables
Given the y-intercept (0,9) and the point (2,144) Applying both.
a=9,
144=9 b^2
Solve further by making b the subject of formular
b^2=144/9
b^2=16
b[tex]= \sqrt{ 16}[/tex]
Therefore b=4
So, y=9(4)^x
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-6, -10, - 15, 16, 9, 12 least to greastest
solve for x
3/4=x-4/6
simply as much as possible
The value of x is 17/12.
Given equation:-
3/4 = x - 4/6
We have to find the value of x from the given equation.
Rearranging the terms to find the solution, we can write,
x = 3/4 + 4/6
Least Common Multiple (LCM) of 4 and 6 = 12
Hence, we can write,
x = (3*3) + (2*4)/12
x = (9 + 8)/12
x = 17/12
Least Common Multiple (LCM)
In arithmetic, Least Common Multiple (LCM) of two or more numbers is the least positive number that can be divided by both the numbers, without leaving the remainder. It is also known as Lowest Common Multiple (LCM), Least Common Denominator, and Smallest Common Multiple.
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If f(x) = x³ + 15x² +68x + 84, which of the following is not a factor of f(x)?
○ (x+6)
○ (x + 2)
○ (x + 7)
(x+8)
Submit Answer
5÷6?what is it long division picture please
The solution is ; 5/6 = 0.833... (recurring decimal)
How many segments of crown molding should be bought to complete the job?
Answer:
4.62 segments should be brought to complete the job.
Step-by-step explanation:
I guess you only need the answer so, is it okay with no explanation?
I don't know how to simplify this A=[tex]\frac{2\sqrt{x}-9}{x-5\sqrt{x}+6\:}-\frac{\sqrt{x}+3}{\sqrt{x}-2}-\frac{2\sqrt{x}+1}{3-\sqrt{x}}[/tex]
The most appropriate choice for rationalization will be given by
What is rationalization?
When a surd is present in the denominator of a fraction, the surd has to be removed form the denominator. The process by which surds in the denominator of a fraction can be eliminated is called rationalization.
Here,
let [tex]\sqrt{x}[/tex] = a
[tex]x = a^2[/tex]
[tex]\frac{2a-9}{a^2 -5a + 6} - \frac{a + 3}{a-2} - \frac{2a+1}{3-a}[/tex]
[tex]\frac{2a-9}{a^2 -2a-3a + 6} - \frac{a + 3}{a-2} - \frac{2a+1}{3-a}[/tex]
[tex]\frac{2a-9}{a(a -2)-3(a -2)} - \frac{a + 3}{a-2} + \frac{2a+1}{a - 3}[/tex]
[tex]\frac{2a-9}{(a-2)(a-3)} - \frac{a + 3}{a-2} + \frac{2a+1}{a-3}[/tex]
[tex]\frac{2a-9 - ((a + 3)(a-3)) + (2a+1)(a-2)}{(a-2)(a-3)}[/tex]
[tex]\frac{2a-9-a^2+9+2a^2-4a+a-2}{(a-2)(a-3)}[/tex]
[tex]\frac{2a-a^2+2a^2-3a-2}{(a-2)(a-3)}[/tex]
[tex]\frac{a^2-a-2}{(a-2)(a-3)}[/tex]
[tex]\frac{a^2-2a+a-2}{(a-2)(a-3)}[/tex]
[tex]\frac{a(a-2)+1(a-2)}{(a-2)(a-3)}[/tex]
[tex]\frac{(a-2)(a+1)}{(a-2)(a-3)}[/tex]
[tex]\frac{\sqrt{x} +1}{\sqrt{x} -3}[/tex]
[tex]\frac{(\sqrt{x} +1)(\sqrt{x}+3) }{(\sqrt{x} -3)(\sqrt{x} +3)}[/tex]
[tex]\frac{x + 3\sqrt{x} + \sqrt{x} +3 }{x -9}[/tex]
[tex]\frac{x + 4\sqrt{x} +3 }{x -9}[/tex]
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Find the value of x *
80°
Your answer
20x
Answer:
x = 4
Step-by-step explanation:
80 is equal to 20x because they are alt ext angles
so
80 = 20x
divide to both sides
4 = x
that is your answer
3x+[tex]\frac{1}{5}[/tex]y=7
seda 100 soruluk bir sınavda 36 yanlış yapmıştır üç yanlış bir doğruyu götürerek net sayısı hesaplandığına göre seda en çok kaç net yamıştır
Answer:
Step-by-step explanation:
36÷3=1236+12=48100-48=52EN İYİ SEÇERSEN SEVİNİRİM BAŞARILAR DİLERİM
Can someone help me please?
[tex]Answer:\ \boxed {-n+3}[/tex]
Step-by-step explanation:
y=mx+b
1.
To find m, choose any two coordinates from the table: (1,2) and (0,3)
and use the formula for the slope of the line:
[tex]\displaystyle\\\boxed {The\ slope\ m=\frac{y_2-y_1}{x_2-x_1} }[/tex]
[tex]\displaystyle\\m=\frac{3-2}{0-1} \\\\m=\frac{1}{-1} \\\\m=-1\\\\Hence,\ y=-x+b\ \ \ \ (1)[/tex]
2.
To find b, choose any coordinate from the table: (2,1) and substitute its values into the formula (10):
[tex]2=-(1)+b\\\\2=-1+b\\\\2+1=-1+b+1\\\\3=b\\\\Thus,\ b=3\\\\Hence, \ y=-x+3[/tex]
I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(