Answer:
x=1/3,-2
Step-by-step explanation:
28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16.
If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?
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
I will give BRAINLIEST!!! 0.(6) equals what percent. By the way it isnt 60%
Answer:
lol
Step-by-step explanation:
As an estimation we are told 5 miles is 8km. Convert 44km to miles
Answer:
27.5 miles.
Step-by-step explanation:
44km ÷ 8km = 5.5
5.5 x 5 = 27.5
Answer:
27.5 miles
Step-by-step explanation:
i think that's the method I know and I believe that's the answer hope it helps you have a great day.
Alice has 8 acres of orchards.
Alice grows apple trees in 4 acres of the orchards
She grows pear trees in the rest.
How many acres of pear trees does Alice have?
Answer:
4
Step-by-step explanation:
8-4=4
difference in acres
Simplify 2x + 8x + 3 + 9 by combining like terms
Answer:
10x+12
Step-by-step explanation:
Answer:
10x+12
Step-by-step explanation:
I combined the like terms
find the missing side length
Are the triangles similar? Explain how you know.
Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides
Leah wants to figure out how many notebooks are in her class. She knows 2 points
that twenty-six less than two times the number of notebooks equals 10.
Write an equation to represent the number of notebooks. *
A. 2x+26=10
B. -26=10x
C. 26-2x=10
D. 2x-26=10
PLEASE HELP I ONLY HAVE 30 MINUTES
Answer: D
The answer is D
Find the slope of the following graphs.
A. 3/2
B. 1
C. -1
D. - 3/2
A $1,400 loan has a simple annual interest rate of 4%. How much simple
interest is paid on the loan for 1 year?
A
$56.00
B
$67.20
C $560.00
D $672.00
Answer:
the answer is c
Step-by-step explanation:
Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.
Answer: .10d+.25q<_ 4
Step-by-step explanation:
d= dimes and q = quarters
dimes are worth .10 and quarters are worth .25
The inequality for the given situation is
0.1d + 0.251 ≤ 4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
10 dimes = 1 dollar
1 dime = 0.1 dollar
4 quarters = 1 dollar
1 quarter = 0.25 dollar
Now,
The maximum amount is $4.
So,
0.1d + 0.251 ≤ 4
Thus,
The inequality is 0.1d + 0.251 ≤ 4.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
f(x)=-x^2-14 find f(9)
Evaluate the function
f(x)=x2−14 is the answer
Caleigh had a jewelry box with a volume of 14 cubic inches. The area of the base is 7 square inches. What is the height of caleigh’s jewelry box
Answer:
2 in
Step-by-step explanation:
Given data
Area= 7 in^2
Volume= 14 in^3
from
Volume= Area* height
substitute
14= 7*x
divide both sides by 7
x=14/7
x= 2 in
Hence the height is 2 in
Please help!!
Will mark brainliest
Answer:
y=+2
Step-by-step explanation:
Every advancement in boxes, gives 2 to the next box. the rate of change would be 2/1
solve each system of equation by graphing
3x-5y=15
y=2x+4
brown skin girl brown skin just like pearls
Answer:
Solution: (-5,-6)
Graph:
Pls help I’ll make u brainly
Answer:
3x-2 = 4 or x = ²/3
Step-by-step explanation:
we have full bars of X's so that represents 3 because we have 3 of them and we subtract the 2 (-1)'s we also have and since it is an equation it is supposed to equal something so in this case it equals 4 (1)'s .
If you solve the equation you get x =²/3
om sells cookies in his store. His bakery has a total of 1,850 cookies for the weekend. If 30% of his cookies are oatmeal raisin cookies, how many cookies are oatmeal raisin?
Answer:
555
Step-by-step explanation:
You turn 30% into a decimal= 0.30
Then multiply 1850*0.30 which gets you 555
Question 10(Multiple Choice Worth 1 points)
(05.02 MC)
The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:
High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8
Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
Answer:
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Step-by-step explanation:
The college data has large outliers which skews the data, therefore the IQR is better measure of spread.
The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.
can someone help me with this
Answer:
A.) 3/4
Step-by-step explanation:
You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.
Write the equation in standard form:
y + 5 = - (x + 3)
Answer:
x + y = -8
Step-by-step explanation:
Which pair of variables would most likely have approximately zero correlation
Answer:
I’m not sure but it’s b
Step-by-step explanation:
ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.
Answer:
d. 18
Step-by-step explanation:
Lengths AG and CF of the parallelogram are equal.
i.e AG = CF
where AG = 2x + 10
CF = 5x -2
→ 2x + 10 = 5x-2
(collecting like terms): 5x - 2x = 10 + 2
→ 3x = 12
x=12÷3 = 4
∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18
∴ CF = 18 (answer)
PLZ HELP PLZ HELP PLZ HELP PLZ HELP
The scatterplot for number of enrollments, N, in a sports club, t years after the
year 2006. The equation of the line of the best fit is N = 62t + 35. Find the residual
for the number of enrollments in year 2020 if the actual enrollment is 885
students.
Answer:
13.7 years
Step-by-step explanation:
The equation of the line of the best fit is N = 62t + 35
where
N is the number of enrollments
t is years after the year 2006
If the actual enrollment is 885 students. Put N = 885 in the given equation.
885 = 62t + 35
or
885 -35 = 62t
850 = 62t
t = 13.7 years
So, the required answer is 13.7 years.
Jamal ordered 4 pizzas. how many slices of pizza did Jamal order if each slice is 1/8 of a pizza? Please, Model!!!
Answer:
32 slices
Step-by-step explanation:
as each slice is 1/8 of pizza, there are 8 slice on each pizza
as such 4 pizzas will have 4*8=32
please help and please explain how you got the answer, thank you!!
Answer:
327
Step-by-step explanation:
[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]
Answer:
60
Step-by-step explanation:
So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.
Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?
Answer:
he had 13 peices of candy
Step-by-step explanation:
if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3
the equation is (2 times 5)+3
If the sin 30° is one half, then the cos ________° = ________.
60°; one half
30°; square root 2 over 2
60°; square root 3 over 2
30°; 1
Step-by-step explanation:
[tex]sin(a) = cos(90 - a)[/tex]
60°= one half
Answer:
The answer and most correct out of the options given is answer "A."
Step-by-step explanation:
Took the test, the person above is right I can confirm. I know a lot of people want confirmation for these answers.
Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?
the young lad invested 6000$
Answer:2000
Step-by-step explanation: