Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
The measure of angle JKL can be represented using the expression 3x + 5. Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees. What is the degree measure of AngleJKL? °
Answer:
its 65
Step-by-step explanation:
The measure of ∠JKL = 3 x 20 + 5 = 65 degrees.
We have three lines extending from point K such that one line extends to point J, another to point M, and the other to point L.
We have to determine the degree measure of ∠JKL .
Define Angle.An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
According to the question, we have -
Measure of ∠JKL = 3x + 5
Measure of ∠JKM = 45 degrees
Measure of ∠MKL = x degrees
Refer to the image attached for more clarity. It can be seen from the image that -
∠JKL = ∠JKM + ∠MKL
3x + 5 = 45 + x
3x - x = 45 - 5
2x = 40
x = 20
Therefore, the measure of ∠JKL = 3 x 20 + 5 = 65 degrees.
To solve more questions on Angle measurements, visit the link below -
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Help please will give brainliest!
Answer:
C
Step-by-step explanation:
x4(x4-5)+5(x4-5)
=x8-5x4+5x4-25
x8-25
Use the grouping method to factor the polynomial below x^3 -4x^2+3x-12
Answer:
x^2(x-4) + 3(x-4)
(x^2 + 3)(x-4)
Step-by-step explanation:
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).
Answer:
Step-by-step explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2
upper limit of 40 to 50
Answer:
So the class mark of class interval 30 - 40 is " 35 "
HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT
Answer:
x = 3
Step-by-step explanation:
The triangles are similar, using ratios
x 8
------ = -----------
18 48
We can use cross products to solve
48x = 8*18
48x = 144
Divide each side by 48
48x/48 = 144/48
x =3
I need to know the answer for the picture
Answer:
a = 2
Step-by-step explanation:
We can use cross products to solve
8 a
----- = -------
28 7
8*7 = 28*a
Divide each side by 28
56/28 = 28a/28
2 =a
Answer:
2
Step-by-step explanation:
Given:
8 a
------- = ------ Find the value of a that makes this equation true.
28 7
Cross multiplying, we get 28a = 56, and so a works out to 2.
Check: Does 8/28 = 2/7? Yes.
Can any one here please help me in this math problem I really need help
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path.
Answer: Garden = 36 ft², Path = 64 ft²
Step-by-step explanation:
Path is 3 ft wide ON EACH SIDE of the garden
Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.
Since the garden is a square, Area = 6² = 36
Garden + 2(Path) = 10 ft
Since the Garden + Path form a square, Area = 10² = 100
Area of Garden + Area of Path = Total Area
36 + Area of Path = 100
Area of Path = 64
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
The table shows three unique functions.
Which statements can be used to compare the functions?
Select two options.
1
X
4
-3
-2
-1
Only f(x) has an x-intercept.
f(x) g(x) h(x)
-19 8
0 -12 -6
-1 -7 4
-2 4 ---2
-2 4 .
Og(x) has liic yrealesi maximum.
1
All three functions have a y-intercept.
All three functions have the same range values.
All three functions have the same domain values.
Answer:
Only f(x) has an x-intercept.All three functions have the same domain values.Step-by-step explanation:
We assume that the table represents the complete definitions of the functions of interest.
An x-intercept is a point where the y-value is 0. Only f(x) includes such a point: (-3, 0).
A y-intercept is a point where the x-value is 0. x=0 is not part of the domain of any of these functions, so there are no y-intercepts.
The maximum values of these functions are ...
f(x): 1g(x): -4h(x): 2so h(x) has the greatest maximum value.
The range of each function is the list of its table values. No two functions have the same range.
The domain of each function is the set of x-values for which it is defined. All of these functions have the same domain. That is, they are all defined for all of the x-values listed.
Of the descriptors offered, the two that apply are ...
Only f(x) has an x-intercept.All three functions have the same domain values.Answer:
A and E
Step-by-step explanation:
Help me ASAP Need to hand in now
Answer:
(2d +7y) cm
Step-by-step explanation:
length of rope= 1st part +2nd part +3rd part
1st part= 2d
2nd part= d +2y
3rd part
= 2nd part +3y -2d
= d +2y +3y -2d
= 5y -d
Thus, length of rope
= 2d +d +2y +5y -d
= (2d +7y) cm
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
the sum of (x-1) + (2x+ 3) is 3x-2 correct?
Answer: no , the correct answer is 3x+2
Step-by-step explanation:
Remove parentheses.
x−1+2x+3
Collect like terms.
(x+2x)+(−1+3)
Simplify.
3x+2
what is 240:180 in its simplest form thanks
Answer:
4:3
Step-by-step explanation:
240:180=
60(4):60(3)=
4:3
Hope this helps!
Answer:
4:3
Step-by-step explanation:
24:18
4:3
If 14x = 6(–4 + x), then x = ?
Answer:
Step-by-step explanation:
Expand first
-24+6x=14x
-6x on both sides
-24=8x
/x on both sides
X=-3
Answer: [tex]x=-3[/tex]
Step-by-step explanation:
You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:
[tex]14x = -24 +6x[/tex]
Now subtract 6x from both sides to get:
[tex]8x = -24[/tex]
Divide both sides by 8 to get x = -3
Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD?
Answer:
100°
Step-by-step explanation:
From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:
∠ABC and ∠ADC = 90°.
Given triangle ABC:
∠ABC + ∠BCA + ∠CAB = 180°
∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50
∠CAB = 50°
From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.
arc BD = ∠CAB + ∠CAD = 50 + 50
arc BD = 100°
Answer:
D.
Step-by-step explanation:
solve 5kx+ 6=7kx for x
Answer:
A
x= 3/x
Step-by-step explanation:
5kx + 6 = 7kx
collect like term
5kx - 7kx = -6
-2kx = -6
minus cancel out
=> 2kx = 6
divide bothside by 2k
=> x = 6/2k
=> x = 3/k
Answer:
Step-by-step explanation:
its A just trust :)
Which equation is rewritten in vertex form
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]
Therefore, Option (2) will be the vertex form.
According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?
Answer:
Step-by-step explanation:
You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.
When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.
Our c is a 20. All the factors of 20 are as follows (notice that we have both the positive and negative factors):
20: ±1, ±2, ±4, ±5, ±10, ±20
Our d is a 3. All the factors of 3 are as follows (again, both the + and the -):
3: ±1, ±3 and that's it for 3.
c/d is as follows. Make sure you put ever c over every d!!!:
c/d: ±[tex]\frac{1}{1}[/tex], ±[tex]\frac{2}{1}[/tex], ±[tex]\frac{4}{1}[/tex], ±[tex]\frac{5}{1}[/tex], ±[tex]\frac{10}{1}[/tex], ±[tex]\frac{20}{1}[/tex], ±[tex]\frac{1}{3}[/tex], ±[tex]\frac{2}{3}[/tex], ±[tex]\frac{4}{3}[/tex], ±[tex]\frac{5}{3}[/tex], ±[tex]\frac{10}{3}[/tex], ±[tex]\frac{20}{3}[/tex]
Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.
Answer:
its D on edge
Step-by-step explanation:
How can a triangular prism have a greater volume than a rectangular prism?
Answer:
If the triangular prism is bigger than the rectangular prism, it will have a greater volume. There are also many other reasons listed below:
Possible reasons:
If the triangular prism is bigger than the rectangular prism, it will have a greater volumeThe rectangular prism could have less width than the triangular prismThe rectangular prism could have less depth than the triangular prismThe rectangular prism could have less length than the triangular prismPlease mark Brainliest if correct.
Sorry if it is not correct.
YEAR 9 MATHS -SYMMETRY QUESTION
Tick whether the statement below is true or false for this rectangle.
It has rotational symmetry of order 4
(1 mark)
Answer:
32cm
Step-by-step explanation:
i think it is symmetry of order 2 as it's rotational symmetry is 180°
Answer:
It has rotational symmetry of order 2 as it's rotational symmetry is 180°
Grace orders groceries worth $49.65. About how much should she spend for 12% home delivery charges?
Answer:
$5.96
Step-by-step explanation:
To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.
determine whether the systems have one solution, no solution, or infinitely many solutions
3x-2y=3;6x-4y=1
3x-5y=8;5x-3y=2
3x 2y=8;4x 3y=1
3x-6y=3;2x-4y=2
3x-4y=2;6x-8y=1
Answer:
First system: no solution
Second system: one solution
Third system: one solution
Fourth system: infinite solutions
Fifth system: no solution
Step-by-step explanation:
First system: 3x-2y=3; 6x-4y=1
From the first equation: y = (3x - 3)/2
Using this value of y in the second equation:
6x - 6x + 6 = 1
6 = 1 -> System has no solution
Second system: 3x-5y=8; 5x-3y=2
From the first equation: x = (8 + 5y)/3
Using this value of x in the second equation:
5*(8 + 5y) - 9y = 6
40 + 25y - 9y = 6
16y = -34 -> y = -2.125
x = (8 - 5*2.125)/3 = -0.875
This system has one solution
Third system: 3x-2y=8; 4x-3y=1
From the first equation: x = (8 + 2y)/3
Using this value of x in the second equation:
4*(8 + 2y) - 9y = 3
32 + 8y - 9y = 6
y = 26
x = (8 + 2*26)/3 = 20
This system has one solution
Fourth system: 3x-6y=3; 2x-4y=2
From the first equation: x = 1 + 2y
Using this value of x in the second equation:
2*(1 + 2y) - 4y = 2
2 + 4y - 4y = 2
2 = 2
This system has infinite solutions
Fifth system: 3x-4y=2; 6x-8y=1
From the first equation: x = (2 + 4y)/3
Using this value of x in the second equation:
2*(2 + 4y) - 8y = 1
4 + 8y - 8y = 2
4 = 2
This system has no solution
john has × marbles and max has twice as many.max give gives john 5 of his marbles does max now have
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
John has × marblesJohn=x
Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
How many lines of rotational symmetry does this shape have?
Answer:
14 lines shape symmetry
A tennis match was delayed because of rain did officials were not prepared for the delay they cover the 25ft by 20ft court with 13ft by 10ft plastic covers how many plastic covers were needed to cover the cord from the rain
Answer:
4
Step-by-step explanation:
The 25ft by 20ft court needs to be covered.
First consider half of the court, meaning 25ft by 10ft.
To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft
There is a 1ft overlap, but that seems reasonably acceptable.
If you do the same for the other half, then you will have covered the entire court from the rain.
So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court
Data;
dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ftArea of a RectangleAssuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover
[tex]25ft by 20 ft / 13ft by 10 ft = 2[/tex]
This would give us a value approximately 2.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.
Learn more on area of a rectangle here;
https://brainly.com/question/25292087
The inverse of f(x) is a function
Answer:
The inverse of a function may not always be a function!
The original function must be a one-to-one function to guarantee that its inverse will also be a function.
look at the diagram which angle is adjacent and congruent to angle AOE
Answer:
Angle EOC.Step-by-step explanation:
You can observe the figure in the image attached.
Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).
Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270
Answer:
15 weeks
$270
Steps:
1: 60+14x=120+10x
2: 4x=60
3: x=15 weeks
4: Amount= 60+14*15= $270
Description:
The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.
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Hope this helps.