Answer:
So starting with what we already know, £100 was paid in all, all 100 seats were taken. Adults pay £3.50, Children pay $0.85 and the Pensioners pay $1.00. I basicaly started off by trying it so all adults, children and pensioners are the exact same number. 33 adult tickets would cost them £115.50. Crossing that suggestion out; I tried again, but this time, with 3 adults, 50 children and the 47 that were left, i put as pensioners. So, now there is 100 people and this is kind of working out:
3 adults= £10.50, 50 children= £42.50, 47 pensioners= £47.00 Total £100
Step-by-step explanation:
As per the given data number of adults [tex]=3[/tex] , number of children [tex]= 50[/tex] and number of pensioner [tex]= 47[/tex].
What is number?" Number is defined as the count of the given quantity."
According to the question,
Total number of seats [tex]=100[/tex]
Total amount of full seats [tex]= \£100[/tex]
Price of adult ticket [tex]= \£ 3.50[/tex]
Price of children ticket [tex]= \£ .85[/tex]
Price of adult ticket [tex]= \£ 1[/tex]
[tex]'x'[/tex]represents the number of adults
[tex]'y'[/tex] reprsents the number of children
[tex]'z'[/tex] represents the number of pensioner
As per given condition we have,
[tex]x + y + z = 100\\\\\£3.50x + \£0.85y + \£1z = \£ 100[/tex]
Using trial and error method we get,
[tex]x = 3 ,\\\\y= 50\\\\z= 47[/tex]
For total number of tickets
[tex]3 + 50 + 47 = 100[/tex]
Left hand side = Right hand side
Substitute in left hand side of total cost we get,
[tex]\£3.50(3) + \£0.85(50) + \£1(47) \\\\= \£10.50 + \£42.50 + \£47[/tex]
[tex]= \£ 100[/tex]
= Right hand side
Hence, as per the given data number of adults [tex]=3[/tex] , number of children [tex]= 50[/tex] and number of pensioner [tex]= 47[/tex].
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[tex]f(x)=\sqrt x+2[/tex]
What is the inverse?
Answer:
[tex](x-2)^2[/tex]
Step-by-step explanation:
To find the inverse of this function, you need to replace the location of the x and the y.
You start with [tex]y=\sqrt{x}+2[/tex]. Now, replace the x and the y, and try to isolate the y.
[tex]x=\sqrt{y}+2\\x-2=\sqrt{y}\\y=(x-2)^2[/tex]
Hope this helps!
Please help out before 8pm !!
Answer:
170 degrees
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary, meaning that they add up to 180 degrees. This means that x+10=180, or that x=170 degrees. Hope this helps!
Which of the following is equal to the rational expression when x*-2 or 3?
X^2 +5x+6/X^2-X-6
Answer:
i am very sorry but i am trying to solve it so wait a few minutes please
Step-by-step explanation:
Answer: D
x+3/x-3
Step-by-step explanation:
A rectangle has an area of (x2 - 17x + 72) square units. Since the area of a rectangle is determined using the formula, A =
lw, what could be the length and width of the rectangle?
length = (x - 8) units and width = (x - 9) units
length = (x + 9) units and width = (x + 8) units
length = (x - 6) units and width = (x - 12) units
length = (x + 12) units and width = (x + 6) units
O
Answer:
Step-by-step explanation:
x² - 17x + 72 = 0
Sum = -17
Product = 72
Factor = 8 , 9
x² - 17x + 72 = 0
x² - 8x -9x + (-8)*(-9) = 0
x(x - 8) -9(x -8) = 0
(x - 8 ) (x - 9) = 0
Length = (x - 8) units
Width = (x - 9) units
11. The measure of an angle formed by two tangents to a circle is 90. If the radius of the circle
is 8 centimeters, how far is the vertex of the angle from the center of the circle?
Vertex of the angle is 11.31 cm far from the center of the circle.
Given in the question,
Measure of angle formed by two tangents of the circle (∠PVQ) = 90°Measure of the radius (OP)= 8 cmIn ΔOPV and ΔOQV,
OP ≅ OQ (Radii of the circle)
PV ≅ QV (Tangents from a point outside the circle)
OV ≅ OV (Reflexive property)
ΔOPV ≅ ΔOQV (SSS property of congruence)
Therefore, m∠PVO = m∠QVO = 45°
By triangle sum theorem,
m∠POV + m∠PVO + m∠OPV = 180°
m∠POV + 45° + 90° = 180°
m∠POV = 45°
Hence, ΔOPV is an isosceles triangle.
OP = PV = 8 cm
By applying Pythagoras theorem in ΔOPV.
OV² = OP² + PV²
OV² = 8² + 8²
OV = √128
OV = 11.31 cm
Therefore, vertex V is 11.31 cm from the center of the circle.
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The distance from the vertex of the angle to the center of the circle is 0 centimeters.
Explanation:In this problem, we have two tangents to a circle, and we are given that the angle between them is 90 degrees. We need to find the distance from the vertex of the angle to the center of the circle.
Since the angle between the tangents is 90 degrees, the tangents are perpendicular to each other. This means that the vertex of the angle is located on the circumference of the circle, and it forms a right triangle with the center of the circle and one of the points where the tangents intersect the circle.
Using the Pythagorean theorem, we can find the distance from the vertex to the center of the circle. Let's call this distance x. We know that the radius of the circle is 8 centimeters, so one leg of the right triangle is 8 centimeters. The other leg is x centimeters, and the hypotenuse is the radius of the circle plus x centimeters.
Applying the Pythagorean theorem, we have:
x^2 + 8^2 = (8 + x)^2
Simplifying the equation, we get:
x^2 + 64 = 64 + 16x + x^2
Cancelling out x^2 terms, we have:
64 = 64 + 16x
Subtracting 64 from both sides, we get:
0 = 16x
Dividing both sides by 16, we get:
x = 0
Since we cannot have a distance of 0, the equation does not have a solution. This means that the vertex of the angle is located at the center of the circle, and the distance is 0 centimeters.
The price of an item has been reduced by 70%. The original price was $31. What is the price of the item now?
Answer:
$9.3 dollars.
Step-by-step explanation:
To solve this question, you will need to begin by finding the percentage left of the original value:
100%-70%= 30% left.
Now, to find the exact value of the discounted item, you will solve for 30% (0.3) of $31:
0.3×31= $9.3 dollars.
.
Alec Tomita's savings account statement is shown below. What is his new balance?
Previous Balance
Interest
Deposits
Withdrawals
$568.23
$2.37
$562.32
$874.36
$877.99
$2007.28
$628.56
$258.56
If the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that,
Previous Balance=$568.23
Interest=$2.37
Deposits=$562.32
Withdrawals=$874.36
We have to apply the addition and subtraction operations in order to find the new balance.
New balance = Previous Balance+Interest+Deposits-Withdrawals
New balance = $568.23+$2.37+$562.32-$874.36
New balance =$258.56
Thus, if the previous balance, Interest, deposits withdrawals and are $568,$2.37, and $562.32.His new balance is $258.56.
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HELP ASAP GIVING BRAINLIST AND A LOT OF POINTS!!!!!
Tara starts with $20, in which she buys 2 items for d amount. Subtract 2d from the total for your answer.
1) 20 - 2d
To find the average distance, add all the numbers together, and divide by the amount of numbers there are:
3) (t + w)/2
~
A golfer is standing on a tee with a green in a valley below. If the tee is 43 yards higher
than the green and the direct distance from the green to the hole is 177 yards, find the
angle of depression from the tee to the green.
Answer:
[tex]13.65^0.[/tex]
Step-by-step explanation:
Given,
Height of tee, H = 43 yard
Direct distance of the hole is, D = 177 yards
Now, Angle of depression of tee
[tex]\tan \theta = \dfrac{H}{D}[/tex]
[tex]\tan \theta = \dfrac{43}{177}[/tex]
[tex]\tan \theta =0.2429[/tex]
[tex]\theta = 13.65^\circ[/tex]
Hence, angle of depression from tee to the green is [tex]13.65^0.[/tex]
If you toss a coin 4 times, what is the probability of landing heads, heads, tails, heads and then heads?
Answer: 0%
Step-by-step explanation:
if you toss a coin 4 times you cant get 5 results.
25*10^-6 in standard form
Answer:
.000025
Step-by-step explanation:
25*10^-6
The negative means we move the decimal point to the left
The 6 means move it 6 places
25.
6 places to the left
Add the number of zeros as required
000025
.000025
Answer:
0.000025
Step-by-step explanation:
25 × 10^-6
25/10⁶
25/1000000
0.000025
If a rubber chicken driving an automaric driven telsa car went to mc donalds to buy nuggets which costed 6000 dollars a nugget and the chicken brought 3 nuggets, how much did Mr.rubber chicken pay?
Answer:
cannibalism
Step-by-step explanation:
If you know a length in a scale drawing and its corresponding length in the original drawing, how can you determine the relationship between the areas of the drawings? Explain. (Lesson 13,14 & 15 of module 4)
Answer:
If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex] times the corresponding area of the original drawing.
Step-by-step explanation:
If the scale factor is represented by , then the area of the scale drawing is [tex]k^{2}[/tex] times the corresponding area of the original drawing.
For example:
Given a scale factor of 25%, would the quotient of the area of the scale drawing to the area of the original drawing be?
Answer:
The quotient of the areas would be equal to the square of the scale factor. Therefore, the quotient of the scale drawing to the original in this example would be equal to [tex](\frac{1}{4}) ^{2}[/tex]
Hope it will find you well.
Kyle is painting the front door of his house. The dimensions of the door are 80 inches by 36 inches by 2 inches. If he paints all of the surfaces, how much area will he paint?
Answer:
its 5760ins
Step-by-step explanation:
80 inches * 36 inches * 2 inches = 5760 inches3
good day, and be safe
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Teorema de pitágoras. Las medidas de los lados y la diagonal de un rectángulo son tres números impares consecutivos.
Hallar los valores de estos elementos.
Answer:
This question says:
"the lenghts of the sides and the diagonal of a rectangle are 3 odd consecutive numbers".
This means that if x is an odd number, then the meassures are:
x, x + 2, x + 4.
We add 2 in each case, because the next consecutive number of, for example, 3 is 3 + 2 = 5, and so on.
Now, from the Pitagoras theorem we know that, for a triangle rectangle, we have
A^2 + B^2 = H^2
where A and B are the cathetus, and H is the hypotenuse.
In our case the smaller odd numbers will be the cathetus and the larger one will be the hypotenuse.
x^2 + (x + 2)^2 = (x + 4)^2
x^2 + x^2 + 4x + 4 = x^2 + 8x + 16
x^2 - 4x -12 = 0
now we need to solve this for x
we know that for a quadratic equation of the form:
ax^2 + bx + c = 0
the solutions are:
[tex]x = \frac{-b +- \sqrt{b^2 -4ac} }{2a}[/tex]
in our case we have:
[tex]x = \frac{4 +- \sqrt{16 +48} }{2} = \frac{4+-8}{2}[/tex]
The only positive value is x = 12/2 = 6
but 6 is not odd, so we can never have that the sides and the diagonal are odd consecutive numbers.
Find the surface area
For breakfast, Sarah can choose eggs, granola, or oatmeal as a main course, and orange juice or milk for a drink. How many possible outcomes are there in the sample space?
Answer:
6 outcomes
Step-by-step explanation:
3 (main courses) x 2 (drinks) = 6 outcomes
eggs - orange juice
granola - orange juice
oatmeal - orange juice
eggs - milk
granola - milk
oatmeal - milk
What is the power of 1^5
Answer:
1x1x1x1x1
Step-by-step explanation:
1^5 is the same as 1x1x1x1x1 because a power multiplies a number by itself
Answer:
1x1x1x1x1
Step-by-step explanation:
1^5 = 1x1x1x1x1 = 1
(happy to help!!!)
PLEASE HELP I need an explanation please if not thanks anyway
Answer:
V = 24 mi^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 4*3*2
V = 24 mi^3
can u help me please
Answer:
C
Step-by-step explanation:
8x^2 - 8x + 2
=2(4x^2 - 4x + 1)
=2(2x - 1)^2
Simplify (3x2 - x + 7) + (6x2-3)
Answer: [tex]9x^2-x+4[/tex]
Combine Like Terms
[tex]3x^2+-x+7+6x^2+-3\\(3x^2+6x^2)+(-x)+(7+-3)\\9x^2+-x+4[/tex]
PLease help, I need this in 2 minutes!
y÷2.3+5.69=7.58
Answer:
y=4.347
Step-by-step explanation:
To solve for y in the equation:
[tex]\dfrac{y}{2.3}+5.69 =7.58[/tex]
First, subtract 5.69 from both sides
[tex]\dfrac{y}{2.3}+5.69-5.69 =7.58-5.69\\\dfrac{y}{2.3}=1.89\\$Cross Multiply\\y=1.89 X 2.3\\y=4.347[/tex]
chapter 8 question 7
please help wil mark brainlyest
Answer:
0.72
Step-by-step explanation:
[tex] \cos \: 44 \degree = 0.7193398003 \\ \cos \: 44 \degree =0.72[/tex]
A bag contains yellow marbles and green marbles, 38 in total. The number of yellow marbles is 6 less than 3 times the number of green marbles. How many yellow marbles are there?
Answer:
3n - 6 = 38
3n -6 + 6 = 38 + 6
3n = 44
3n/3 = 44/3
n = 44/3
Step-by-step explanation:
1. set up the equation (the - affect the 6 not the 3)
2. add 6 to both sides
3. divide both sides by 3 to get n
PLEASE HELP ME!! LIKE I NEED IT NOW!!
A DJ charges $150 for set-up and transportation, plus $65 per hour to entertain at a party. Which equation represents the relationship between the cost, y (in dollars), and the number of hours, x, for which the DJ is hired?
A DJ charges $150 for set-up and transportation, plus $65 per hour to entertain at a party. Which equation represents the relationship between the cost, y (in dollars), and the number of hours, x, for which the DJ is hired?
A. y= 150+65x
B. y= 65+150x
C. y=215x
D. y=65x
Answer:
A. y= 150+65x
Step-by-step explanation:
65 is the only number that changes. The 150 will be the same no matter what.
Evaluate the following
expression if x = 6.
3x
Answer:
3x would equal 18 is x was 6
Step-by-step explanation:
x=6
3*6=18
3x would equal 18
Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 \text { ft}^21.5 ft
2
Answer: the answer is 12
Two ice skaters push against each other. The skater on the left has a mass of 70.0 kg and the skater on the right has a mass of 90.0 kg. If the skater on the left experiences a force of 250 N, how many Newtons of force is experienced by the skater on the right?
Answer:250 N
Step-by-step explanation:
Given
mass of skater on left side [tex]m_l=70\ kg[/tex]
mass of skater on right side [tex]m_r=90\ kg[/tex]
If the skater on the left experience a force of [tex]250\ N[/tex]
If they push against each other then they must experience an equal force according to newtons third law
Thus [tex]F_l=F_r[/tex]
Thus skater on right experience [tex]250\ N[/tex] force
Using Newton's third law, if the first skater pushes off with a force of 250 N, the second skater will experience an equal but opposite force of 250 N. This occurs irrespective of the skaters' masses.
Explanation:The subject of this question is physics, specifically Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. In this case, the action is the first skater pushing off the second skater, and the reaction is the force experienced by the second skater.
The amount of force experienced by the first skater is 250 N. Because of Newton's third law, this means the second skater is also experiencing a force of 250 N. The direction of the force, however, is in the opposite direction to the force experienced by the first skater.
The force experienced by an object is independent of its mass. Therefore, despite the second skater having a mass of 90.0 kg versus the first skater's 70.0 kg, the force experienced remains the same.
In conclusion, the second skater experiences a force of 250 N.
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8y - 1-/2 ( 4y - 16)
Answer:
6y +8
Step-by-step explanation:
8y - 1-/2 ( 4y - 16)
Distribute
8y - 1/2*4y - 1/2 *-16
8y -2y +8
Combine like terms
6y +8
A 10-foot ladder leans against the side of a house with its base 2.2 feet from the house. Use the Pythagorean Theorem to approximate how high the ladder reaches up the side of the house. Round your answer to the nearest hundredth. The ladder reaches feet high.
Answer:
Ladder reaches 9.76 high.
Step-by-step explanation:
From the figure attached,
Ac is the ladder which reaches at the point A when leans against the side of a house.
Length of the ladder = 10 feet
Distance of the ladder form the base of a house = 2.2 ft
By Pythagoras theorem,
AC² = AB² + BC²
(10)² = h² + (2.2)²
h² = 100 - 4.84
h = √95.16
h = 9.755 feet
≈ 9.76 feet
Therefore, the ladder reaches the 9.76 high.
The answer is 9.7 feet