Answer:
$430
Step-by-step explanation:
Let the weekly income be x
Money spent on food= $86
% of weekly income spent on food = 20
20% of weekly income in terms = 20/100 * x = x/5
This, income is equal to $86 as given
thus,
x/5 = 86
x = 86*5 = 430
Thus, weekly income is $430.
A paintball court charges an initial entrance fee plus a fixed price per ball. P represents the total price (in dollars) as a function of the number of balls used n P=0.80n+5.50 What is the price for 10 balls, not including the entrance fee?
Answer:
$8
Step-by-step explanation:
It says P = per ball (which will be a number, n, for balls times the fixed price) plus a set entrance fee. So we find that the price per ball is $0.80, so 10 balls cost $8.
Answer:
$8
Step-by-step explanation:
show a quadrilateral ABCD in A is(2,8) and B is (8,6) .the point c lies on the perpendicular bisector of AB and the point D lies on the y- axis. the equation of BC is 3y=4x-14 and angle DAB=90° find
(a) the equation of AD
(b) the coordinates of D
(c) the equation of perpendicular bisector of AB
(d) the coordinates of C
show the area of triangle ABC is 10 units and find the area of the quadrilateral ABCD
Answer:
(a) y = 3x + 2; (b) (0,2); (c) y = 3x - 8; (d) (2,-2)
(e) Area of ∆ABC = 30; (f) Area of ABCD = 40
Step-by-step explanation:
(a) Equation of AD
(i) Slope of AB
m₁ = (y₂ - y₁)/(x₂ - x₁) = (6 - 8)/(8 - 2)= -2/6 = -⅓
(ii) Slope of AD
m₂ = 3
(ii) y-intercept
y = 3x + b
8 = 3(2) + b= 6 + b
b = 2
The equation of AD is y = 3x + 2.
(b) Coordinates of D
The coordinates of D are (0,2).
(c) Equation of perpendicular bisector of AB
(i) Mid-points of AB
x = ½(x₂ + x₁) = ½(8 + 2) = ½(14) = 5
y = ½(y₂ + y₁) = ½(6 + 8) = ½(14) = 7
The coordinates of the mid-point are (5,7).
Slope = 3
y = mx + b
7 = 3(5) + b = 15 + b
b = 7 - 15 = -8
The equation of the perpendicular bisector is y = 3x - 8.
(d) Coordinates of C
C is at the intersection of BC and the perpendicular bisector of AD.
y = 3x - 8
3y = 4x - 14
3y = 9x - 24
0 = 5x - 10
5x = 10
x = 2
y = 3(2) - 8 = 6 - 8 = -2
The coordinates of C are (2,-2).
(e) Area of ∆ABC
A = ½bh = ½ × 10 × 6 = 30
(f) Area of ABCD
Area of ∆ACD = ½bh = ½ × 10 × 2 = 10
Area of ABCD = ∆ACD + ∆ABC =10 + 30 = 40
In an experiment, three people toss a fair coin one at a time until one of them tosses a head. Determine, for each person, the probability that he or she tosses the first head. Verify that the sum of the three probabilities is 1.
Answer:
Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.
Step-by-step explanation:
The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.
P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc
= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .
This is a geometric series with first term a = 1/2 and common ratio r = 1/8
Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7
P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)
= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .
Geometric series with sum (1/4)/(7/8) = 2/7
P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .
= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .
Geometric series with sum (1/8)/(7/8) = 1/7
Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.
Hope this helped!
A baby bird jumps from a tree branch and flutters to the ground. The function "f" models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping. What is bird's height above the ground when it jumped.
The answer to this question will depend on the function f itself. Basically you will find the height in meters above the ground of the bird when it jumped when the time t=0s. This is substsitute every t in the function for a value of zero and that way you will get the bird's height at the time it jumped. If you were given a graph for this function, you can find the y-intercept of the graph and that will be the answer as well. The question could be written like this:
A baby bird jumps from a tree branch and flutters to the ground. The function "[tex]f(t)-4.9t^{2}+25[/tex]" models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping. What is bird's height above the ground when it jumped.
Answer:
25m
Step-by-step explanation:
Once your function is given, you can substitute t=0 since 0s is the time measured at the moment the bird jumped. So our function will be:
[tex]f(0)=-4.9(0)^2+25[/tex]
[tex]f(0)=25m[/tex]
So the height of the bird above the ground when it jumped is 25m in this particular function.
Answer:
It is (0,12) on the graph , if you are doing it on Khan Academy.
Step-by-step explanation:
Just try it . se what happens. :))
Evaluate 4 - 0.25g + 0.5h when g = 10 and h = 5
Answer:
4
Step-by-step explanation:
Well first we need to plug in 10 for g and h for 5.
4 - .25(10) + .5(5)
4 - 2.5. + 2.5
1.5 + 2.5
= 4
Thus,
the answer is 4
Hope this helps :)
Answer:
4
Step-by-step explanation:
We are given the expression:
4 - 0.25g + 0.5h
We know that g= 10 and h=5. Therefore, we can substitute 10 and 5 into the expression.
4-0.25(10)+0.5(5)
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, multiply 0.25 and 10
4-2.5+0.5(5)
Next, multiply 0.5 and 5
4-2.5+2.5
Next, subtract 2.5 from 4
1.5+2.5
Finally, add 1.5 and 2.5
4
4 - 0.25g + 0.5h when g=10 and h=5 is 4.
For which situations is it appropriate to use a sample? Select three options.
Answer:
when there are a lot of options
to experiment
to test
Step-by-step explanation:
The cosine function reaches a value of 0 when x is equal to
Answer:
Step-by-step explanation:
The values of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.
Select the correct answer. An inverse variation includes the point (2,12). Which point would also belong in this inverse variation? A. (3,-8) B. (-8,-3) C. (1,6) D. (-6,1)
Answer:
d
Step-by-step explanation:
Ten points! Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
Brainly, please don't remove the 4 in the equation, and the first and last answers like last time
brainly you did it again
actually, it's very easy all u have to do is minus 3 from every number (not x) and you'll easly get -2 < x < 1
If u see this pls give me brainliest
The solution of the provided inequality equation is −2 < x < 1. Option D is the correct option, which says x is greater than number -2 but less than 1.
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The inequality equation, which has to be solved for x is,
[tex]1 < x + 3 < 4[/tex]
In this equation, subtract 3 in each side of the equation,
[tex]1 -3 < x + 3-3 < 4-3[/tex]
Solve it further,
[tex]1 -3 < x + 3-3 < 4-3\\-2 < x < 1[/tex]
Thus, the solution of the provided inequality equation is −2 < x < 1. Option D is the correct option, which says x is greater than number -2 but less than 1.
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Use multiplication to solve the proportion
35/28 = n/12
Answer:
n=15, 35/28=15/12
Step-by-step explanation:
28/12=2.33
35/2.33= 15
Please answer this question now
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
What is the range of the function?
Function (True/False)
Answer:
yes it is a function
Step-by-step explanation:
Mathematics
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Answer:
False
Step-by-step explanation:
A function has only 1 y value for any given x value.
You can use the "vertical line test" to check if a graph is of a function. Move a vertical line (you can use the edge of a ruler) from left to right across the graph. If at any point the line intersects the curve in two or more places, the curve is not a function.
Which graph shows the solution to the system of linear inequalities? x + 3y > 6 y ≥ 2x + 4 PLEASE HELP
A system of inequalities can be solved graphically.
See attachment for the required graph
The inequalities are given as:
[tex]\mathbf{x +3y > 6}[/tex]
[tex]\mathbf{y \ge 2x + 4}[/tex]
The options are not given.
So, I have attached the graph that illustrates the solution to the system of inequalities
From the graph, we have the solutions as:
[tex]\mathbf{x >-0.857}[/tex][tex]\mathbf{y \ge 2.286}[/tex]Read more about graphs of inequalities at:
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This problem is kinda hard for me can you please help
Answer:
A
Step-by-step explanation:
If the post of the fence is 10 feet long. And we know that 3(1/3) of the fence is underground. We just need subtract 3(1/3) from 10.
10-3=7
7-(1/3)=6(2/3)
a fraction is such that the numerator is 2 less than the denominator if you add 3 to the numerator and 5 to the denominator the resulting fraction is 3/5 find the fraction
Answer:
The required fraction is 3/5
Answer: 3/5
Step-by-Step Explanation:
Let x represent the denominator of the fraction, then we have [tex]\dfrac{x-2}{x}[/tex]
Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:
[tex]\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5[/tex]
Substitute x = 5 into the original fraction:
[tex]\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}[/tex]
Explain why a drop in temperature would lead to adding a negative integer.
Step-by-step explanation:
a drop in temperature means the temperature will decrease.
That decrease is represented with a negative integer which should be added to the previous temperature.
Charlie used a regression calculator to generate the equation f(x) = –0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 26), (8, 20), and (10, 14).
Is a linear representation the best way to represent the data? If it is, explain why. If not, explain why and suggest a better alternative.
Answer and Step-by-step explanation:
According to the given situation, The r-value associated with the ordered pairs for the linear function is very nearest to zero which does not results in adequate presentation of the outcome.
A quadratic model could properly comprise of a combination of data, as the set of data has a turning point.
This result in data rises and falls which represents the graph of quadratic's graph
A linear representation is not the best way to show the data from the equation as derived from the regression calculator.
What is the linear representation about?Note that when plotted on a graph, it will show an upside down u kind of shape, and it as such look linear is not a good choice.
Note also that the r-value is linked with the ordered pairs for the linear function as it is said to be closer to zero and thus, it does not show an adequate depiction of the outcome.
Therefore, A linear representation is not the best way to show the data from the equation as derived from the regression calculator.
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A King wanted to replace his Prime-Minister but didn't want to upset him too much. So he called the Prime-Minister to his chamber and put two pieces of paper in his briefcase. He told the Prime-Minister that "On one piece of paper it says 'leave' and on the second piece of paper it says 'stay'". The piece of paper that you pull out of the briefcase will decide your fate." The Prime-Minister realized that both pieces of paper say 'leave'. What should the Prime-Minister do to be able to keep his position?
Answer: Ask the king to draw first and read it. Explain that if the king selects "leave" the PM's choice could only be "stay". It is then unnecessary for the PM to draw. It avoids embarrassing the king in his lie, demonstrates the PM's intelligence, and keeps his job.
Step-by-step explanation:
Joe and Danny have just won 350 arcade tickets. If each arcade game can be played with 12 tickets, how many will they have left over at the end of the day, if they play the maximum number of games?
Answer:
2 tickets left
Step-by-step explanation:
12✖️29=348
350-348=2
Answer:
If they play the maximum number of games, there will be two tickets left over.
Step-by-step explanation:
For this problem, I used long division.
350 divided by 12 comes out to be 29.
29 is the maximum number of games they could play.
29 times 12 is 348.
350 (the total number of tickets) minus 348 (number of tickets used) comes out to be two.
Hope this helps! Brainliest would really help me out :)
very simple challenge hard question
Answer:
-58.41509433
Step-by-step explanation:
0.4+8(5-0.8*5/8)-5/(2.5)=34.4
[0.4+8(5-4/8)-(2)]=
[0.4+8(40-4)/8)-2=34.4 ( nominator)
15-(8.9-2.6/(2/3))*34*2/5 =-53
15-(8.9-3.9)*68/5
15-5*68/5=
15-68=-53 ( denominator)
(34.4/-53) *90
-58.41509433
Please answer this question now in two minutes
Answer:
ObtuseStep-by-step explanation:
[tex]In -an-obtuse -triangle;R^2>P^2+Q^2\\\\Largest-side = R\\\\.2nd -largest side =Q\\\\3rd -largest = P\\\\R^2>P^2+Q^2\\15^2 >6^2+8^2\\225>36+64\\225>100[/tex]
I hope it helps :)
If you have 2345 and you multiple it by 2 divide it by 6 and add on 22299 what will the answer be?
Answer:
69242/3 or 23080.666667
Step-by-step explanation:
2345 is multiplied by 2. Then the result is divided by 6. Then 22299 is added to the final result.
2345 × 2
= 4690
4690/6
= 2345/3
2345/3 + 22299
= 69242/3
Look at the figure shown below: A triangle RPQ is shown. S is a point on side PR and T is a point on side PQ. Points S and T are joined using a straight line. Nora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 45. Statement Reason 1. Segment ST is parallel to segment RQ Given 2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent 3. Angle SPT is congruent to angle RPQ Reflexive property of angles 4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate 5. 60: (60+x) = Corresponding sides of similar triangles are in proportion Which of the following can she use to complete statement 5? a 60:(48 + 36) b 60:36 c 48:36 d 48:(48 + 36)
Answer:
d:48:(48+36)
Step-by-step explanation:
cause the length PT corresponds to PQ so the value of PT which is 48 corresponds with the value of PQ which is 48+36 I guess
Option d 48:(48+36) is the correct option.
Given that:
Statements that Nora wrote are:
Statement Reason
1. Segment ST is parallel to segment RQ Given
2. Angle QRS is congruent to angle TSP Corresponding angles formed by parallel lines and their transversal are congruent
3. Angle SPT is congruent to angle RPQ Reflexive property of angles
4. Triangle SPT is similar to triangle RPQ Angle-Angle Similarity Postulate
5. 60: (60+x) = ?
It is the property that a line intersecting and cutting a triangle which is parallel to a side of that triangle has those cuts with proportionate measures.
In the given figure, the above fact is shown symbolically as:
[tex]\dfrac{PS}{PR} = \dfrac{PT}{PQ}\\[/tex]
Thus we have :
[tex]\dfrac{60}{60+x} = \dfrac{48}{48+36}\\[/tex]
Thus Option d 48:(48+36) is the correct option.
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the expression for the number of diagonals that we can make from one vertex of a n sided polygon is
Answer:
[tex]\frac{n(n-3)}{2}[/tex]
Step-by-step explanation:
Polygon Diagonals are a pattern that follows a specific rule which can be used through a specific formula. Remember that Math focuses on patterns to create equations that help to study them, and this case is not an exception.
The equation for polygon diagonals is
[tex]\frac{n(n-3)}{2}[/tex]
Where [tex]n[/tex] refers to the number of sides of the polygon.
You see, a diagonal is defined as the union between two non-consecutive vertices. For a convex n-sided polygon, there are going to be n vertices, and we can draw [tex]n-3[/tex] from each vertex, then we multiply this by [tex]n[/tex], because that's the total number of sides.
In the end, we divide by 2, because with the method described, we will have double number of diagonals.
n the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units
Answer:45
Step-by-step explanation:
Answer:
B. 30 square units
Step-by-step explanation:
Edge 2021
15 points are placed on a circle. How many triangles is it possible to form, such that their vertices will be the given points?
Answer: 445 triangles can be form with 15 dots of a circle (I hope good luck)
Step-by-step explanation:
Answer:
455
Step-by-step explanation:
There are 15 points on a circle.
We need three points to form a triangle
Therefore the number of triangles = 15 choose 3 = 15!/(3!x12!) = (15x14x13)/(3x2x1) = 5x7x13 = 455
Hence the number of triangles formed is 455
which ordered pair is a solution of the equation -3x+5y=2x+3y PLEASE HELP ASAP
Answer:
Every pair where y is equal x multiplied by 2.5for exapmle: (2, 5) {5=2•2.5}
(8, 20) {20=8•2.5}
(-5, -12.5} {-12.5=-5•2.5}
Step-by-step explanation:
-3x + 5y = 2x + 3y-3y+3x -3y+3x
2y = 5x÷2 ÷2
y = 2.5xAnswer:
neither
Step-by-step explanation:
please help :) Choose the expression that is equivalent to the expression: 2 x 2 x 2 x 2 A. 2 x 4 B. 4 to the 2 power C. 2 to the 4 power D. 2 x 2 x 2 x 2 x 4
Answer:
C. 2 to the 4'th power
Step-by-step explanation:
2x2x2x2 is 4 2's, the number of 2's indicates the power, so the answer would be 2 to the power of 4 because there are 4 2's
Hope this helps, If you have any questions, feel free to ask.
Have a good day! :)
Answer:
C 2 to the power of 4
Step-by-step explanation:
There are 2*2*2*2* 4 of the 2 so 2 to the power of 4
Consider a standard deck of 52 playing cards with 4 suits. If A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck, what is the intersection of A and B? (Remember that the black cards are spades and clubs.)
Answer: Intersection of A and B = 2
Step-by-step explanation:
Total cards = 52
Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.
Total cards having 6 on them = 4
[There are 4 suits of two different colors red and black.]
Total black playing card =26
Intersection of A and B = Black cards having 6 = 2
hence, Intersection of A and B = 2