Answer:
Difference = £10
Step-by-step explanation:
Represent adult with A and children with C
[tex]A + C = 28775[/tex]
[tex]C : A = 9 : 16[/tex]
[tex]Sales = 615785[/tex]
Required
Determine the difference in price of both tickets
[tex]A + C = 28775[/tex]
Convert ratio to fraction
[tex]C : A = 9 : 16[/tex]
[tex]\frac{C}{A} = \frac{9}{16}[/tex]
Cross Multiply
[tex]16C = 9A[/tex]
Make C the subject
[tex]C = \frac{9}{16}A[/tex]
Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]
[tex]A + \frac{9}{16}A = 28775[/tex]
Take LCM
[tex]\frac{16A + 9A}{16} = 28775[/tex]
[tex]\frac{25A}{16} = 28775[/tex]
Multiply both sides by 16
[tex]16 * \frac{25A}{16} = 28775*16[/tex]
[tex]25A= 28775*16[/tex]
[tex]25A= 460400[/tex]
Make A the subject
[tex]A = \frac{460400}{25}[/tex]
[tex]A = 18416[/tex]
Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]
[tex]C = \frac{9}{16} * 18416[/tex]
[tex]C = \frac{9* 18416}{16}[/tex]
[tex]C = \frac{165744}{16}[/tex]
[tex]C = 10359[/tex]
If a children ticket costs £15, then total children tickets cost:
[tex]Children = 10359 * 15[/tex]
[tex]Children = 155385[/tex]
The total sales is given as:
[tex]Sales = 615785[/tex]
So, the total cost of adult ticket is:
[tex]Adults = 615785 - 155385[/tex]
[tex]Adults = 460400[/tex]
Recall that number of adults is: 18416
So, an adult ticket costs
[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]
[tex]An\ adult\ ticket = 25[/tex]
So, we have that:
Children Ticket = £15
Adult Ticket = £25
The difference is:
Difference = £25 - £15
Difference = £10
Find the area of the shape shown below plz help
Answer:
60? I'm really not sure mate, i'm really sorry if it's wrong.
Step-by-step explanation:
A new car is purchased for 19000 dollars. The value of the car depreciates at 11.25% per year. What will the value of the car be, to the nearest cent, after 14 years.
Answer:
$3573. 64
Step-by-step explanation:
Convert 11.25% to the decimal fraction 0.1125. Then subtract this result from 1.0000: 0.8875.
After 14 years, the formerly $19000 car will have the value
$19000(0.8875)^14 = $3573. 64
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know that part of the answer is -25 -
but is it -25 - 13 or -25 - -13
Answer: -25 - 13
This simplifies to -38
So the worker's final position is 38 feet below the ground.
A diagram is shown below.
==========================================================
Explanation:
Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.
To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.
For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.
Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13
The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.
------------------------------------
After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so
25+13 = 38
But the final answer is negative because we're starting underground and moving further underground.
We can write it like this
-25 - 13 = -(25+13) = -(38) = -38
Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.
Check out the diagram below.
What is x in 8x - 5 = -37
Answer:
If i'm doing this correctly it is 6?
Step-by-step explanation:
Answer:
x= -4
Step-by-step explanation:
8x - 5 = -37
+ 5 +5 add five to both sides of the equation so you can isolate the x
8x = -32
/8 /8 then divide 8 by both sides of the equation
x = -4
and then you get ur answer
Hope this helps :)
How do I find the rule of a linear table ?
Answer:
start by checking that it's a linear relationship that's occurring by having a look at the difference in our X in each step against the difference in our Y in each step.
Step-by-step explanation:
Find the quotient of the complex numbers. Express your answer in
trigonometric form.
z = 7(cos15° + i sin15)
zz = 2(cos1 10° + i sin 110)
HELP ASAP!
Answer:
answer is c
Step-by-step explanation:
If the area of a rectangle is x2 – 13x + 40, what are the lengths of
the two sides?
Answer:
5 and 8
Step-by-step explanation:
quadratic formula.
-(b)+sqrt(b)^2-4(a)(c)
^ans
divide the whole thing by 2(a).
If the formula isn't clear, search quadratic formula up.
Which of these is the standard form of the following function?
f(x) = -9(x + 5)2 + 4
f(x) = 9x2 − 90x − 221
f(x) = -9x2 − 90x − 221
f(x) = 9x2 − 180x + 221
f(x) = -9x2 − 180x − 221
Answer:
the answer is B) -9x2 -90x -221
Evaluate - 3x + 2y when x = 2 and y = 3
Answer:
the answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-3x + 2y
-3(2) + 2(3) ## Substitution
-6 + 6 ## Distributive
0 ## Addition
Elle earned $45 last month babysitting. This
month she earned $35. What is the
approximate percent of decrease?
Answer:
40%
Step-by-step explanation:
Name the triangle.
please help
Answer:
c. right =90 that's the as
which is the best estimate for the mass of a desktop computer
a 500 g
b 10 l
c 10 kg
d 100 g
find the linear relationships
Answer:
everytime the x goes up by 3, the y goes down by 3
Step-by-step explanation:
-10,-17, -24, -31, -38, ...
a) Common Difference:
b) Recursive Formula:
c) Explicit Formula:
d) 843
Neeeeddddd helllppp nowwwwww!!!!
Answer:
the area is 670.32 but it's not in there
40+40x0+1=
a.81
b.21
c.41
Answer:
C.41
Step-by-step explanation:
Thats the answer!!
Simplify the expression by combining like terms.
n + 4n - 7n - 1
Answer:
-2n-1
Step-by-step explanation:
n +4n-7n-1
-2n-1
What is 6 1/3−1 2/3?
Answer:
4 2/3!
Step-by-step explanation:
Answer: [tex]4 \frac{2}{3}[/tex]
Step-by-step explanation:
Lets start by subtracting 6 by 1.
6 - 1 = 5
Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.
So our answer is 4 2/3
Help! I'm not sure how to do it
On the playground, 1/4 of the students are on the jungle gym, and 1/3 f the students are playing kickball. What part of all the students on the playground is on the jungle gym or playing kickball?
Answer:
7/12 of the students
Step-by-step explanation:
So first you would need to get your fractions to have the same denominator. When your trying to get your fractions to get the same denominato. You must multiply both the numerator and denominator.
The most common denominator from 1/4 and 1/3 is 12. So you multiply both the numerator and denominator of 1/4 by 3. So then your new fraction is 3/12. Now you multiply 1/3, both numerator and your denominator by 4. Then your new fraction is 4/12. So The last step is to add both of your numerators. Never add the denominators together. And at last you have your answer. 7/12.
(Hope this helps! Brainliest?)
PLEASE EXPLAIN (Arithmetic Sequences )
If u59 = 1/10 and u100 = 1 19/20 for an arithmetic sequence, find the first term and the common difference
In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model represents the town's population, p, as a function of t, the time in years after 2007
Answer:
Population function (Based on 2007) = 7,600 + 700n
Step-by-step explanation:
Given:
Population in 2009 = 9,000
Population in 2014 = 12,500
Computation:
Increase in population per year = [12,500 - 9,000] / 5
Increase in population per year = 700
Population in 2007 = 9,000 - [2 x 700]
Population in 2007 = 7,600
Population function (Based on 2007) = 7,600 + 700n
n = number of year
Answer:
p(t)=700t+7600
Step-by-step explanation:
What is the perimeter, in terms of x, of the triangle shown here?
(7x2 - 12)
(-5x + 30)
(3x2 + 4x)
Answer:
The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
Step-by-step explanation:
We need to find perimeter, in terms of x, of the triangle shown here.
The length of side 1: [tex](7x^2 - 12)[/tex]
The length of side 2: [tex](-5x + 30)[/tex]
The length of side 3: [tex](3x^2 + 4x)[/tex]
The formula used to find perimeter of triangle is: [tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides[/tex]
Putting values and finding perimeter:
[tex]Perimeter\: of\: triangle=Sum\:of\:length\:of\:all\:sides\\Perimeter\: of\: triangle=(7x^2 - 12)+(-5x + 30)+(3x^2 + 4x)\\Perimeter\: of\: triangle= 7x^2-12-5x+30+3x^2+4x\\Perimeter\: of\: triangle=7x^2+3x^2-5x+4x-12+30\\Perimeter\: of\: triangle=10x^2-x+18[/tex]
So, The perimeter of triangle is: [tex]\mathbf{10x^2-x+18}[/tex]
ALGEBRA Evaluate the expression when X-
2 and = is - 1/5
Answer:
x=9/5
Step-by-step explanation:
x-2=-1/5
x=9/5
12 34/50 / 11 30/25
no im not giving the first correct person brainliest
only idiots do that
Answer: 317/305 or 1 12/305
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
Your doctor told you to eat 25 25 grams of fiber each day. You had 4 4 grams of fiber for breakfast. What percent of the 25 25 grams of fiber have you eaten so far?
Answer: 16%
Step-by-step explanation:
Grams of fiber recommended by doctor = 25 grams
Grams of fiber had for breakfast = 4
Percentage of gram ate = Grams had for breakfast / Grams recommended by doctor × 100
= 4/25 × 100
= 4 × 4
= 16%
Answer: 16%
Step-by-step explanation:
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
(Multiple choice/ brainiest will be given)
Can I please get some help with this answer?
Answer: d
Step-by-step explanation:
What is the percent error for a measurement of 5 yards?
Write your answer using a percent sign (%). For example, 0.5%, 12.7%, or 56%.
20 POINTS
3.(06.01)
What is the value of the expression 5^2 +2^2? (2 points)
Answer:
29
Step-by-step explanation:
5^2=25
2^2=4
25+4=29
Answer: 29 is the final answer
Step-by-step explanation: Have a nice day - Lily ^_^