One ticket will cost you £8.20.
What is an example of a unitary method?
A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary method, for instance, can be used to calculate how many kilometers a car will travel on one litre of gas if it travels 44 km on two litres of fuel.
Explanation
Suppose a single ticket costs = [tex]x[/tex]
They actually need to pay for 3 tickets because the promotion reads "purchase 3 tickets and receive one free."
so, the total price of three tickets = [tex]3x[/tex]
Four buddies each pay £6.15, making a total of £24.60 between them.
The equation will therefore be.....
[tex]3x = 24.60\\x = \frac{24.60}{3} = 8.20[/tex]
Consequently, a single ticket will cost £8.20.
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(-4,-7); slope = 3
What is the linear equation?
Pls Help Asap! Tysm if u do!
Step-by-step explanation:
I assume you need the slope-intercept form
y = ax + b
"a" being the slope, "b" being the y-intercept (the y value when x = 0).
since we have the slope and a point, we can start with the point-slope form
y - y1 = a(x - x1)
"a" is again the slope, (x1, y1) is a point on the line
so, we have
y - -7 = 3(x - -4)
y + 7 = 3(x + 4) = 3x + 12
and from there now the final equation :
y = 3x + 5
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches Mattie’s house.
The shortest distance between Caroline's and Mattie's house is 10 blocks.
If we assume this as a right angle triangle then height (BA) is 6 blocks long and base (BC) is 8 blocks
long.
Then, the shortest distance between Caroline's and Mattie's house will be the hypotenuse (AC) of this
triangle.
So, by applying Pythagoras theorem:
[tex](AC)^{2} = (BA)^{2} = (BC)^{2} = (6)^{2}+(8)^{2}[/tex] = 36+64 = 100
Thus, AC = [tex]\sqrt{100}[/tex] = 10 blocks.
Hence, the shortest distance we can take from Caroline's house to reach Mattie's house is 10 blocks.
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write a polynomial function with zeros of "-1,-1,2i"
A polynomial function with zeros of -1, -1, 2i is:
f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i
We have been given a polynomial function with zeros of -1, -1, 2i
This means, (x + 1), (x + 1) and (x - 2i) are roots of polynomial.
Let f(x) be required polynomial function.
To find a polynomial consider an equation,
f(x) = 0
(x + 1) * (x + 1) * (x - 2i) = 0
(x^2 + 2x + 1) * (x - 2i) = 0
x(x^2 + 2x + 1) - 2i(x^2 + 2x + 1) = 0
x^3 + 2x^2 + x - 2ix^2 - 4ix - 2i = 0
x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i = 0
so, f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i
Therefore, a polynomial with zeros of -1, -1, 2i is f(x) = x^3 + (2 - 2i)x^2 + (1 - 4i)x - 2i
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Bill plans to fund his individual retirement account (ira) with the maximum contribution of $2,000 at the end of each year for the next 20 years. If bill can earn 12 percent on his contributions, how much will he have at the end of the twentieth year?.
$144104.88 Bill have at the end of the twentieth year if he can earn 12 percent on his contributions.
Given that,
For the next 20 years, Bill intends to contribute the maximum $2,000 each year to his individual retirement account (ira).
We have to find how much will Bill have at the end of the twentieth year if he can earn 12 percent on his contributions.
We know that,
What is the Annuity's Future Value?The worth of repeated payments at a specific future date, less a specified refund rate or a discount rate, is known as the future annuity value. The annuity amount increases with the discount rate.
According to the information provided, Future Value of Annuity equals:
FV= A×[(1+r)ⁿ-1]/r
Here,
A is periodic payment
r is rate per period
FV is future value
n is number of period
FV=2000×[(1+0.12]²⁰-1]/0.12
FV=2000×72.05244
FV=$144104.88
Therefore, $144104.88 Bill have at the end of the twentieth year if he can earn 12 percent on his contributions.
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the decimal representation of 30 kilogram and 43 gram is equal to_____kilogram
Answer:
3043kg
Step-by-step explanation:
30kg
43g
is this right
Six whole numbers have a median of 10 a mode of 11 a range of 4 work out a possible set of six numbers. Write the numbers in order.
The numbers in order are 7, 8, 9, 11, 11, and 11.
Mode:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all
Here we have to arrange the number in order.
Range:
The difference between the lowest and highest values.
Pu the six numbers in order from small to large.
7,8,9,11,11,11
So the median of the number is = (9 + 11) /2
= 10
The mode of these numbers is = 11
As 11 is three times in the series.
The range of the numbers is = 11-7 =4
Therefore the order is 7, 8, 9, 11, 11, 11.
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HELP ASAP THIS IS TIMED!!!!
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answer:
1. m∠5 + m∠6 = 180° ...........Linear Pair
2. ∠ 2+ ∠ 3 = ∠ 6.................Exterior angle Property of Triangle
3. m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property
The record high temperature for a certain us state is 104 f. the record low temperature for same state is -14 f. what is the difference between the record high and low temperatures for this state
The difference between the record high and low temperatures for this state is 118 degrees Fahrenheit or 118°F
Given that,
104 f is the highest temperature ever recorded in a particular US state. The state's all-time low temperature is -14 f.
To find : The difference between the record high and low temperatures for this state.
Difference can be calculated as
Difference equals to highest temperature minus lowest temperature in the state
Difference = 104 -(-14)
= 104+14=118°F
Therefore, The difference in temperature between the state's record high and low readings is 118 degrees Fahrenheit, or 118°F.
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2. Which of the following statements is true? (1 point) OPositive numbers are always rational numbers. ONegative numbers are always irrational numbers. ONegative numbers are sometimes rational numbers. ONegative numbers are always integers.
Negative numbers are sometimes rational numbers. As, this statement is only true in all the following statements.
What is numbers ?A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them. the system of numbers
Following statements are given,
1. Positive numbers are always rational numbers.
2. Negative numbers are always irrational numbers.
3. Negative numbers are sometimes rational numbers.
4. Negative numbers are always integers.
According to statement Positive numbers are always rational numbers
As this statement is not always true because though √2 is positive, it is not a rational number.
According to statement Negative numbers are always irrational numbers.
This is also not true as always as -4 is negative and it can be expressed in the form of [tex]\frac{-4}{1}[/tex] , hence it is rational.
According to statement Negative numbers are sometimes rational numbers. As it can be both -2 is a negative rational number and -√2 is negative irrational number.
According to statement Negative numbers are always integers.This is not always true because [tex]\frac{-2}{3}[/tex] is a negative number with a fractional part, hence it is not an integer.
Hence, only 3rd statement is true ,
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Parallel to y=-1/5X-7 and through (2,3)
Answer:
y = -1/5x + 17/5
Step-by-step explanation:
Parallel lines have the same slope as m2 = m1. Thus, the slope the of second line is -1/5.
We can find the y-intercept by plugging in (2,3) for x and y and our slope:
[tex]3 = -\frac{1}{5}(2)+b\\ 3=-\frac{2}{5}+b\\ \frac{17}{5}=b[/tex]
a basket contains 16 apples, of which two are rotten. a sample of three apples is selected at random. what is the probability that the sample contains two rotten apples?
Answer:
[tex]\frac{1}{120}[/tex]
Step-by-step explanation:
To solve such a problem you need to simulate a situation in which this could happen in three picks and then make sure your equation takes into account that all three picks take place at the same time. One such situation could look like this:
1) At the start, the probability of picking one rotten apple with one pick is 2 out of 16 which 2/16.
2) After picking the first apple you have 15 apples left of which only 1 is rotten. So the chance to pick the second rotten apple is 1/15.
3) After you picked the second rotten apple you want the third one in the set to be good. As you are left with 14 apples of which all 14 are good, the probability of picking a good one is 14/14.
Now, because you are interested in ALL those 3 things happening at the same time, you need to multiply the probabilities. So this gives you the answer of:
[tex]\frac{2}{16} *\frac{1}{15} *\frac{14}{14} = \frac{1}{8} *\frac{1}{15} *1 = \frac{1}{120}[/tex]
You can achieve the same result if your picks are in a slightly different order. The result won't change as long as the outcome is the same (set of 2 rotten apples and 1 good apple). So if you first pick a rotten apple (2/16), then you happen to pick a good apple (14 out of 15 left are good so 14/15) and then pick the second rotten apple last (1/14) you will see it's gives the same result because you also end up with 2 rotten and 1 good apples:
[tex]\frac{2}{16} * \frac{14}{15} * \frac{1}{14} = \frac{1}{8} * \frac{1}{15} = \frac{1}{120}[/tex]
Shaquana and her children went into a movie theater and she bought $53 worth of
candies and pretzels. Each candy costs $5 and each pretzel costs $3. She bought a
total of 13 candies and pretzels altogether. Determine the number of candies and the
number of pretzels that Shaquana bought.
Shaquana bought
candies and
Complete: 67%
pretzels.
Answer:
∴ Shaquana bought 7 candies and 6 pretzels.
Step-by-step explanation:
Suppose all the snacks she bought were candies.
13 × $5 = $65
$65 - $53 = $12
$5 - $3 = $2
$12 ÷ $2 = 6 pretzels
∴ Number of candies Shaquana bought
= 13 snacks - 6 pretzels
= 7 candies
Answer:
6 pretzels and 5 candies
Step-by-step explanation:
Let c be the number of candies and p the number of pretzels.
We can determine the total cost by multiplying the candy price by it's price, $5/candy. That would be $5*c. We can do the same for the pretzels: $3*p.
Thje total spent is: ($5)c + ($3)p = $53. Since the $ sign cancels out, let's rewrite this to simplify: 5c + 3p = 53.
We know that c + p = 13
Rearrange this to c = 13-p and then substitute this definition of c in the first equation:
5c + 3p = 53
5(13-p) +3p = 53
65 - 5p + 3p = 53
-2p = - 12
p = 6 Shaquana brought 6 pretzels.
Since c + p = 13, this means she bought 7 candies.
Check to see if this works:
Do 6 pretzels and 7 candies cost $53?
(6 prezels)*($3/pretzel) = $18
(7 candies)*($5/candy) = $35
Total = $53 YES
please help this is geometry
Answer: T is the longest side. T = 62
Step-by-step explanation:
R + S = 118
(57+61)
180-118=62
simplify -2(3²)³ into Standard form
The answer is: " - 1,458 ".
Step-by-step explanation:
We are asked to simplify: " -2(3²)³ " ; into standard form.
Take note of the 'order of operations'—by using the mnemonic:
"Please Excuse My Dear Aunt Sally."
in which:
_______
Parentheses, if they occur, take top priority.
then :
Exponents, if they occur, take second priority.
then :
Multiplication—and/or:
Division—if they occur; take third priority; yet, multiplication does not necessarily take priority over division. Rather, multiplication and/or division, if Either occurs, take the next priority—in the order in which they occur from the far left of the expression to the end.
then :
Addition—and/or:
Subtraction—if they occur; take the last priority; yet, addition does not necessarily take priority over subtraction. Rather, addition and/or subtraction, if Either occurs, take the last priority—in the order in which they occur from the far left of the expression to the end.
____
Our given expression: " -2(3²)³ " ; is the same as:
" - 2* (3²)³ " ; We have parentheses, exponents, and multiplication;
So; we need to find the value of: " (3²)³ " ;
and multiply that value by -2 ;
So, let's start with calculating: " (3²)³ " ;
Method 1)
" (3²)³ = (3* 3)³ = 9³ = 9 * 9 * 9 = (9 * 9) * 9 = 81 * 9 = 729 " .
Method 2)
Note the multiplication property of exponents:
(aᵇ)ᶜ = a⁽ ᵇ *ᶜ ⁾ ;
As such: " (3²)³ = 3⁽²*³⁾ = 3⁶ " ;
= 3 * 3 * 3 * 3 * 3 * 3 ;
= (3 * 3) * 3 * 3 * 3 * 3 ;
= 9 * 3 * 3 * 3 * 3 ;
= (9 * 3) * 3 * 3 * 3 ;
= (27) * 3 * 3 * 3 ;
= (27) * (9)* 3 ;\
= 27 * 27 ;
₁
₄
2 7
* 2 7
¹ 1 8 9
⁺_5 4
7 2 9
= 729
____
Now, multiply 729 by -2 ;
{Note that a negative value, when multiplied by a positive value, results in a negative value.}\
₁
7 2 9
* - 2
- 1 4 5 8 ; which is our answer to: " -2(3²)³ " ; written in standard form.
The answer is: " - 1,458 ".
____
Hope this is helpful to you.
Best of luck to you!
____
help PLEASEEEEEE WILL GIVE BRAINLYEST FOR CORRECT ANSWER AND IF YOU REMIND ME
Answer:
Step-by-step explanation:
v = 1/3 (area of base) (height)
v = 1/3 (1/2*6*8) (7)
v = 1/3 (24) (7)
v = 8 (7)
v = 56 square inches
The population of ants in the colony can be represented by the function
f(t) = 1400(1.07), where t is the number of months the colony has been
measured.
What is the growth rate??
Answer: A or C
Step-by-step explanation:
What number would make this statement true?
1/7 = 7/?
what is 113.8 divided by 9 equal explain your answer?
113.8 divided by 9 equal to 12.64
How to determine the quotient when 9 divides 113.8The calculation can be done simply by calculator however to so it manually the decimal is converted to fraction
converting to fraction
113.8 = 1138/ 10
dividing by three
= 1138/ 10 ÷ 9
= 1138/ 10 * 1/9
= 1138/ 90
= 569/45
= 12.64
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What is the equation of this line?
Y=-3/4x-3 y=-3x=4/3 y=4/3x-3 y=-3x-3/4
Answer:
[tex]y = \frac{3}{4} x - 3[/tex]
The slope is 3/4, and the y-intercept is -3.
a ferris wheel has a radius of 24 feet and travels 5.6 feet every second. at what constant angular speed does the ferris wheel rotate at (in radians per second)?
The angular speed is 0.233 radian per second.
What is angular speed?
Angular speed is defined as the rate of change of angular displacement, and it is expressed as follows: ω = θ t where θ is the angular displacement, t is the time and ω is the angular speed.
given radius = 24 feet
distance covered = 5.6
First we will find the circumference
= 2πr
=48π
Time = 48π/5.6 = 26.91
Angular speed = 2π/TIME
=2π/26.91
= 0.233
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(4n+3)+(3x+9) simplified
if its 8:00 am on november 22 what time was it 22 hours ago
Answer:
10AM on November 21.
Step-by-step explanation:
START FROM THE END OF THE LIST BELOW, STARTING FROM 8AM (ANNE MERIDIAN), NOVEMBER 2[tex]2^{nd}[/tex].12am: - 32: November 21.
1am: - 31: November 21.
2am: - 30: November 21.
3am: - 29: November 21.
4am: - 28: November 21.
5am: - 27: November 21
6am: - 26: November 21.
7am: -25: November 21.
8am: -24: November 21.
9am: -23: November 21.
10am: -22 hours (22 hours ago): November 21 - ANSWER IS 10 AM.
11am: - 21: November 21.
12pm: - 20: November 21.
1pm: - 19: November 21.
2pm: - 18: November 21.
3pm: - 17: November 21.
4pm: - 16: November 21.
5pm: - 15: November 21.
6pm: -14: November 21.
7pm: -13: November 21.
8pm: -12: November 21.
9pm:-11: November 21.
10pm: -10: November 21.
11pm: - 9: November 21.
12am: - 8: November 22.
1am: -7: November 22.
2am: -6: November 22.
3am: -5: November 22.
4am: -4: November 22.
5am: -3: November 22.
6am: -2: November 22.
7am: -1: November 22.
8am: CURRENT TIME (RIGHT NOW): November 22 - START FROM HERE.
3x - 5y = 15
x-intercept =
y-intercept =
Answer:
x-intercept is 5
y-intercept is -3
Step-by-step explanation:
For the x-intercept:
[tex]3x - 5(0) = 15[/tex]
[tex]3x = 15[/tex]
[tex]x = 5[/tex]
For the y-intercept:
[tex]3(0) - 5y = 15[/tex]
[tex] - 5y = 15[/tex]
[tex]y = - 3[/tex]
Answer:
Y intercept= -3
x-intercept = 5
Step-by-step explanation:
So you would want to get your y alone for it to be in slome intercept form (y=mx+b) so you would:
1. Subtract 3x from both sides to get -5y= -3x+15
2. then you would divide each side by -5 to get y= [tex]\frac{3}{5}[/tex] x -3
And since in slope intercept form, b= the y-intercept, The y-intercept =-3 and to find the x-intercept you would have to solve for y=0 in your new-found equation.
sorry if this was long
Find the missing length indicated for 1 and 2
Marking brainlist
Answer:
Step-by-step explanation: I think you have to add all the numbers together then divide by all the numbers i think
Given the relation (9,2)(4,5)(7,3)(10,-5)Which ordered pair (a,b)Would result in a relation? That is not a function.
(10,2)
( 4,5)
( 6,7)
(7,1)
None of the above.
Given the relation (9,2)(4,5)(7,3)(10,-5), an ordered pair which would result in a relation that is not a function is: (10, 2).
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable to an output variable.
Based on the ordered pairs shown above, we can reasonably infer and logically deduce that (10, 2) is an ordered pair which does not represent a function because the value of "a" has already been mapped to -5.
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find how many numbers greater than 4000 that can be formed with digits 2,3,4,5 and 6 if no digits can be used more than once in a number.
20 points Sebastian and Sabrina have gone on
vacation in Atlantic City. Their first
stop was the pier, where they noticed
horse diving and both decided to give
it a try. Sebastian went first. His dive
was modeled by the equation,
h(t)=-16t² + 16t+18, where h is the
height (in feet) above the water and
t is the time in seconds. Sabrina's
dive is modeled by
h(t)-16(-0.5)² + 22.
1. The functions are the same because each of the function has equations that are modeled after the horse diving into the water.
2. Given t = 20s, so using the equation modeled for Seb, we have
h(20) = -16(20^2) + 16(20) +18
After evaluating it we get -6062ft which is not possible since we cannot get a height in negative and jumping off at a height of 6062ft if it was in positive it wouldn't be done by a sane person.
3. Putting the value of t as 0 in the equation we get,
h(0) = -16(0^2) + 16(0) + 18
After evaluating it, we get 18ft and in this situation, we can say that in 0 seconds that is when the horse had not yet dived, the horse was at a height of 18ft.
4 a. Taking the value of h as 18 in Sabri's equation, we get
18 = -16(t - 0.5)^2 + 22
18 = 16t^2 - 4 + 22 (After solving {t - 0.5}^2)
t^2= 18 + 4 - 22/ 16
t^2= 0
t = 0seconds
b. The maximum height of Sabrina's height was 18ft, since this is the initial height of the horse diving booth.
What are functions?
In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependent variable. To put it simply, a function is a type of rule that produces one output for every input it receives. Here, y=x2 serves as an illustration. A single output for y results from any input for x. Since x is the input value, we would state that y is a function of x.
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12 times what will equal to minus 4 to equal zero
The answer that 12 times 1/3 will equal to -4 to 0, solving an equation.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
So the equation 12(x)-4 = 0
⇒12*x =4
⇒x=4/12
⇒x = 1/3
Hence, the equation will be solved and the number will be 1/3.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You want to earn 150. To buy a new pair of shoes. However, if you earn more than 500, you'll be charged tax on your business write and solve an inequality that shows how many bracelets you can sell so that you earn the money for a new pair of shoes without going over the 500 limit. Show work
Answer:
150≤x≤500
Step-by-step explanation:
