Total number of Counters = 48
Red Counters = 20
green counters = 48 - 20
⠀⠀⠀⠀⠀⠀⠀⠀⠀= 28 .
Ratio of Red counters to that the number of green counters = 20 : 28
= 20/28
[tex] = \huge \frac{20}{28} [/tex]
The ratio of the number of red counters to the number of green counters will be 5/7.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
A bag contains only red and green counters. A total bag contains 48 counters, of which 20 are red.
The number of green counters is calculated as,
⇒ 48 - 20
⇒ 28
The ratio of the number of red counters to the number of green counters is calculated as,
Ratio = 20 / 28
Ratio = 5/7
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5. suppose it costs $4 for a ticket to the school dance. at that price, the dance committee sells 200 tickets.
the dance committee realizes that for every $1 increase in ticket price, they sell 10 fewer tickets. find the
maximum revenue and the ticket price that maximizes the revenue.
broo plsss heloo meeee
Answer:
$1440 max revenus$12 for a ticketStep-by-step explanation:
The quantity of tickets sold is presumed to be a linear function of the price. The revenue from sales will be the product of the number sold and their price.
__
quantityThe quantity sold is reduced by 10 when the price goes up 1, so the slope of the quantity curve is -10/1 = -10. The given point on the quantity curve is (p, q) = (4, 200). Using these values in the point-slope equation of a line, we find ...
q -200 = -10(p -4)
q = -10(p -4) +200 . . . . . add 200
revenueThen the revenue is ...
r(p) = pq
r(p) = p(-10(p -4) +200) = p(-10p +240)
r(p) = -10p(p -24) . . . . factored form
maximumThis equation describes a parabola with zeros at p=0 and p=24. The peak value of the revenue is on the axis of symmetry, halfway between the zeros. That is, the price p=12 will maximize revenue. At that price, the revenue is ...
r(12) = -10(12)(12 -24) = 10(144) = 1440
The maximum revenue is $1440 at a ticket price of $12.00.
what is the meashure of the angle of n 35
The graph of a quadratic equation is shown here, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors C(x - x1)(x - x2). Be sure to state the values of x1 and x2.
The graph is a quadratic function, and the equation of the function is C(x) = (x + 4)(x - 3)
How to determine the equation of the graph?From the graph the x-intercepts are:
x = -4 and x = 3
Rewrite as:
x + 4 = 0 and x - 3 = 0
Evaluate the product of both equations
(x + 4) * (x - 3) = 0* 0
This gives
(x + 4)(x - 3) = 0
Express as a function
C(x) = (x + 4)(x - 3)
Hence, the equation of the function is C(x) = (x + 4)(x - 3)
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AB is a straight line.
Work out the size of angle x.
Not drawn accurately
132%
х
ܬ
B
Answer:
x would be 48
Step-by-step explanation:
180 (because its a straight line) take away 132 and it gives you 48
32.323232 as a fraction in simplest form
Let x = 32.323232…
Then 100x = 3232.323232…
It follows that
100x - x = 3232.323232… - 32.323232…
99x = 3200
x = 3200/99
Consider the series [tex]\frac{1}{4} +\frac{1}{3} +\frac{4}{9} +\frac{16}{27} +\frac{64}{81}[/tex]
Does the series converge or diverge?
Answer:
Diverge
Step-by-step explanation:
Each successive term is larger than the previous one, so the series will diverge.
The given series can be condensed to
[tex]\displaystyle \frac14 + \frac13 + \frac49 + \frac{16}{27} + \frac{64}{81} + \cdots = \frac14 \left(1 + \frac43 + \frac{4^2}{3^2} + \frac{4^3}{3^3} + \cdots\right) = \frac14 \sum_{n=0}^\infty \left(\frac43\right)^n[/tex]
which is a geometric series with ratio 4/3. Since this ratio is larger than 1, the sequence of partial sums of the series diverges, so the infinite series also diverges.
We can also just the n-th term test:
[tex]\displaystyle \lim_{n\to\infty} \frac14 \left(\frac43\right)^n = \frac14 \lim_{n\to\infty} \frac{4^n}{3^n} = \infty[/tex]
since 4ⁿ > 3ⁿ for all n > 0.
If you buy three of the ABC bonds with $10 commission for each, how much will it cost?
a. $3142.50
b
$1047.50
c. $3172.50
d. $1077.50
Answer:
The computation shows that the cost of each bond is A. $3142.50
How to solve the cost?
From the complete information given, the price of the bond is given as $2856.80 each.
Therefore, with the commission, the price will be:
= $2856.80 + (10% × $2856.80)
= $2856.80 + $285.68
= $3142.50
In conclusion, the cost of each bond is $3142.50.
Step-by-step explanation:
or b
i need hep with my ready i really need it
Answer:
Figure JK is shown in the drawing.
Step-by-step explanation:
The product of a number y and 3 is 6.
Answer:
y=2
Step-by-step explanation:
y*3=6
divide both sides by 3
y=2
If f(1) = 3 and f(n) = f(n - 1)2 + 5 then find the value of f(4).
Answer:
f(4) = 59
Step-by-step explanation:
Given:
f(1) = 3
f(n) = f(n-1)2 + 5
Idea:
We want to find the value of f(4), so let's substitute n with 4.
f(n) = f(n-1)2 + 5
f(4) = f(4-1)2 + 5
f(4) = f(3)2 + 5
We see that we have to evaluate f(3) before we can calculate f(4).
So let's try to calculate f(3).
f(3) = f(3-1)2 + 5
f(3) = f(2)2 + 5
Again we have to calculate f(2) before we can calculate f(3). So what do we do?
Calculations:
The best approach is to start from the bottom. First let calculate the value of f(2) and then f(3) and finally f(4).
f(1) = 3 (this was given)
f(2) = f(2-1)2 + 5
= f(1)2 + 5 (this time we know the value of f(1)!)
= 3 × 2 + 5
= 6 + 5
= 11
f(3) = f(3-1)2 + 5
= f(2)2 + 5 (we calculated f(2) in the previous step: f(2) = 11)
= 11 × 2 + 5
= 22 + 5
= 27
f(4) = f(4-1)2 + 5
= f(3)2 + 5
= 27 × 2 + 5
= 51 + 5
= 59
Use the layout of the parking lot to answer the questions. what is the total area available for cars to park? m2. if the parking spaces are compact, they have an area of 12.5 m2. how many compact parking spaces will fit in the lot? . if the parking spaces are not compact, they will be 3 meters by 5.5 meters. how many noncompact parking spaces will fit in the lot? .
The true statements are:
The total area available is 858 square metersThe number of compact parking space is 68 The number of non-compact parking space is 52The total area available for cars to parkFrom the complete question, we have the dimensions of the parking lot to be: 78 meters by 19 meters
Also, the dimension of the aisle is: 8 meters by 78 meters
The total parking area is the difference between the parking lot area and the aisle area
This gives
Parking Area = 78 * 19 - 8 * 78
Parking Area = 858
The total area available for cars to park is 858 square meters
The number of parking spaceThe number of parking lot is the quotient of the total parking area and the area of each compact
So, we have:
n = 858/12.5
n = 68.64
Remove the decimal
n = 68
Hence, the number of parking space is 68
The number of parking space for non-compact parking spaceThe number of parking lot is the quotient of the total parking area and the area of each non-compact space
So, we have:
n = 858/(5.5 * 3)
n = 52
Hence, the number of parking space is 52
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Mrs. Hernandez is redesigning her craft room which is in the shape of a rectangular prism. She wants to add wainscoting, which is a wood wall covering, from the floor to halfway up the walls. There are two doors that are each 3 feet wide. How many square feet of wainscoting will she need to cover the space?
Answer:
312
Step-by-step explanation:
T.S.A : ( 2 × L × w ) + ( 2 × h × w ) + ( 2 × L × h ) = Area
9 - 3 = 6 - 3 = 3
( 2 × 12 × 3 ) + ( 2 × 8 × 3 ) + ( 2 × 12 × 8 ) = Area
72 + 48 + 192 = 312
A media streaming website knows that 70\%70%70, percent of its customers primarily watch on their television, 18\%18%18, percent primarily watch on their computer, and 12\%12%12, percent primarily watch on a mobile device. The company wonders if these percentages hold true after a recent update to the product. They take a random sample of 700700700 customers and obtain these results: [image here]
They want to perform a \chi^2χ
2
\chi, squared goodness-of-fit test to determine if these results suggest that the the distribution has changed.
What is the expected count of customers that watch on their computer in the sample?
You may round your answer to the nearest hundredth.
The expected count of customers that watch on their computer in the sample is 126.
How to calculate the expected count?From the information given about the media. The expected count totally will be calculated as follows:
= (700 × 0.7) + (700 × 0.18) + (700 × 0.12)
= 490 + 126 + 85
= 700
Therefore, the expected count of customers that watch on their computer in the sample will be:
= 700 × 0.18
= 126
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Estimate the answers after rounding to the indicated place value
748-154 (tens)
a:610
b:600
c:500
d:590
e:900
The value of the expression after rounding to the nearest tens is 600
How to estimate the expression?The expression is given as:
748 - 154
When rounded to the nearest tens, we have:
750 - 150
Evaluate the difference
600
Hence, the value of the expression after rounding to the nearest tens is 600
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A 90 ° angle is divided into 2 angles. Find the size of the angles. 3x+15 and 2x+25
The two angles are 45 degrees.
Step-by-step explanation:
You are just halfing the 90 degree angle, so all you have to do is divide 90 by two, and you have 45.
Given (-1,5) and (-1,2) are solutions to the following
inequality. What symbol goes in the square?
Answer:
C. ≥
Step-by-step explanation:
1 inch represents 4 feet. On the blueprint what is the length of a room with an
actual length of 27 feet?
O A 6 inches
OB. 9 inches
OC. 4 inches
OD. 12 inches
? 2
3
4
The denominator of a fraction is 1 less than 5 times the numerator. If the numerator is
increased by 5 and the denominator is decreased by 4, the resulting fraction is equal to ½. Find the ORIGINAL fraction.
you get maths when you practice itself
so do it yourself
The table shows information about the
heights, in cm, of a group of Yr 11 girls.
height (cm)
least height
143
median
165
159
lower quartile
interquartile range
8
Complete the boxplot for this information.
range
33
i dont know where i am going wrong!
The value of the whisker on the left is 143.
The value of the first line on the box is 159.
The value of the line in the middle of the box is 165
The value of the third line in the box is 167.
The value of the whisker on the left is 176.
What are the values needed to complete the boxplot?A box plot is used to study the distribution and level of a set of scores. The box plot has two whiskers. The whisker on the left represents the minimum value and the whisker on the right represents the maximum value.
The first line on the box to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Maximum value = range + minimum value
143 + 33 = 176
Upper quartile = lower quartile + interquartile range
159 + 8 = 167
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Please help me on this!
A figure can be broken into a parallelogram and triangle.
Which formulas will you use to find the area of this irregular figure? Select all that apply.
A = one-half b h
A=b+h
A=bh
A=2bh
A=2(b+h)
I probably will answer before a response since I never get a response
Answer:
Rectangle A=bh=4 x 3
Triangle A=1/2bh=1/2 x4 x3
The area of the figure
12+6=18
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
What are the dimensions of the rectangular prisms you identified in parts a and b? list dimensions for all your decompositions (sets of shapes).
The dimensions of the rectangular prisms are the side lengths of the rectangular prism
How to determine the dimensions?
A rectangular prism has the following dimensions
Length, width and height
This means that the dimensions of the rectangular prisms are the length, width and height of the prism
To determine the dimension, we simply take the value of the above terms i.e. length, width and height
Note that the question is incomplete, so I gave a general explanation
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please help its due very soon any help will be nice!
posting answer as a picture because it was "inappropriate"
Select the correct answer from each drop-down menu.
The number of people who visited a state park over the last nine years is recorded in the table.
Year
2
3
4
5
6
7
8
9
Visitors
452
360
348
302
198
124
204
308 398
The visitor data is best modelled by a quadratic function
Based on the model, the state park management should plan for more than 400 visitors next year
Graphing functionsFrom the question, we are to determine the type of function that best describes the visitors data.
From the graph, we deduce that the type of function that best describes the visitors data is a quadratic function
Also, from the graph, we can say that the state park management should plan for more than 400 visitors next year
Hence, the visitor data is best modelled by a quadratic function
Based on the model, the state park management should plan for more than 400 visitors next year
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Answer:
The correct answers are Quadratic and More.
Step-by-step explanation:
I got it right on the Edmentum test.
Convert the angle \frac{11\pi}{12} 12 11π radians to degrees
The angle 11π/12 radian after converting it to degree it become 165 degree.
What is an angle?The measurement between the two lines is called an "Angle" when the two lines or rays converge at a common location.
We have given:
An angle 11π/12
Let's denote it with β
[tex]\rm \beta = \dfrac{11\pi}{12}[/tex]
To convert it to degree, replace π with 180°, we get:
[tex]\rm \beta = \dfrac{11\times180}{12}[/tex]
β = 165°
Thus, the angle 11π/12 radian after converting it to degree it become 165 degree.
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On a coordinate plane, a triangle is shown. It has points (1, 4), (5, negative 2), and (negative 3, negative 2).
Mary thinks the triangle is equilateral. How would you support or dispute her conjecture?
Calculate the slope of all three sides, and check whether the slopes are equal.
Calculate the slope of all three sides, and check whether any slopes are reciprocals.
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
Use the distance formula to calculate the length of all three sides, and check whether any two sides are congruent.
Answer: C
Step-by-step explanation:
To determine if a triangle is equilateral, you need to see if all the sides have the same length.
Answer:
C
Step-by-step explanation:
Ben
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Answer:
1/8
Step-by-step explanation:
Please help ASAP
A horizontal stretch by a factor of k uses the rule: (x,y) → (kx, y) Use this rule to perform a
horizontal stretch on the figure by a scale of 3/2 on the pentagon ABCDE.
New
Original
A(-4,2)
B(-1,5)
C(3,3)
D(2,-2)
P(-2,-1)
Is the new figure similar or congruent to the original? Explain how you know
A' = (-6, 2), B' = (-3/2, 4), C' = (9/2, 3), D' = (3, -2) and E' = (-3, -1). The new figure is similar to the original figure
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A horizontal stretch by a factor of k uses the rule: (x,y) → (kx, y). Pentagon ABCDE is stretched horizontally by a factor of 3/2, hence:
A' = (-6, 2), B' = (-3/2, 4), C' = (9/2, 3), D' = (3, -2) and E' = (-3, -1)
The new figure is similar to the original figure
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Newton Street and Oakland Avenue intersect. If the diagonal distance across the intersection is 17 meters and Newton Street is 15 meters wide, how wide is Oakland Avenue?
b) Heledd buys a car for £12000. The car depreciates at a rate of 9% per year. How much will the car be worth after 3 years?
Answer:
9042.85 pounds
Step-by-step explanation:
12000×0.91^3
12000×0.753571
9042.85 pounds
