Given:
Total number of tickets = 600
Cost of adult ticket = $6.00
Cost of student ticket = $4.00
Total sales = $2900.00
To find:
The number of tickets of each type.
Solution:
Let the number of adult tickets be x and number of student tickets be y.
According to the question,
[tex]x+y=600[/tex] ...(i)
[tex]6x+4y=2900[/tex] ...(ii)
Multiply equation (i) by 4 and subtract the result from (ii),
[tex]6x+4y-4(x+y)=2900-4\times 600[/tex]
[tex]6x+4y-4x-4y=2900-2400[/tex]
[tex]2x=500[/tex]
Divide both sides of 2.
[tex]x=250[/tex]
Put x=250 in (i).
[tex]250+y=600[/tex]
[tex]y=600-250[/tex]
[tex]y=350[/tex]
Therefore, number of adult tickets is 250 and number of student tickets is 350.
How do functions work? Could someone explain how to know which questions are functions or not
Answer:
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a speceified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Step-by-step explanation:
here is a step by step equation:
f(x) = x + 7
if:
x=2
then:
f(2) = 2 + 7 = 9
A function is linear if it can be defined by
f(x) = mx + b
Makes sense? Hope I helped
plus I'm in middle school learning this also.
When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.
Answer:
When President Abraham Lincoln announced plans to resupply the fort, Confederate General P.G.T. Beauregard bombarded Fort Sumter on April 12, 1861, kicking off the Battle of Fort Sumter. After a 34-hour exchange of artillery fire, Anderson and 86 soldiers surrendered the fort on April 13.
Step-by-step explanation:
Help Please!
5=(2m-b)/(m+b)
Answer:
m=−2b
b=−m/2
work: i just know
Cj has $50 more than Jordan has. Together they have $100. How much does Jordan have?
Answer:
25
Step-by-step explanation:
take C as what Cj has, and J what Jordan has.
Cj has $50 more than Jordan has, so:
C = 50 + J
Together they have $100, so:
C + J = 100
is a system of 2 equations with 2 unknown (C and J):
C - J = 50
C + J = 100
Adding both equations:
2C = 150 ⇒ C = 75
From second equation: J = 25
help me solve:
-2*(-10)/(-5)*2-28+(-9)
Answer:
-45
Step-by-step explanation:
Answer:-45
Step-by-step explanation:
-8-28+(-9)
-8-28-9
calculate the sum of the NEGATIVE NUMBERS
Hershey Park is a popular field trip destination. This year Peirce and Stetson both planned trips there. Peirce rented and filled 16 vans and 8 buses with 752 students. Stetson rented and filled 5 vans and 5 buses with 380 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?
Graph the line y=-2/3x+3
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
9
2
0
Step-by-step explanation:
Answer: x = (0,0) y = (3,0)
Step-by-step explanation: you have to find the Asymptotes In The Equation
Enter an equation in point-slope form
The slope of the line is 2/5, and it contains the point: (−2, 7).
Answer:
y = 2/5x + 39/5
Step-by-step explanation:
point slope form is y = mx + b
so far we have y = 2/5x + b
m is slope which is given. We need to find b which is y-intercept.
They give us the point (-2,7). We can plug this into the equation to find b.
7 = 2/5(-2) + b
7 = -4/5 + b
b = 39/5
The equation now looks like y = 2/5x + 39/5
question in the picture
Answer:
a
Step-by-step explanation:
1/4 = 0.25
Answer: 1/4 < 0.45
Step-by-step explanati
14) Which equation represents the line that passes through the point (4,1) and (20,-3)?
A) X-4y = 2
B) x + y = 2
C) 2x + 8y = 16
D) 2x + 4y = 4
Answer:
All of the options are in standard form (ax+by=c). But none of the answers is an option. The correct answer is x+4y=8.
Step-by-step explanation:
The following screenshot is a graphing website to prove that the equation x+4y=8 passes through the points (4,1) and (20,-3).
I don’t know if the equation x+4y=8 is an option for you, because I don’t see it as an option to choose out of the four.
But I hope this helps and answers your question :)
Guys plz help me answer this!!!!
Answer:
p= 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Honestly I don't know what to do at this point
You are trying to find the distance d across the river, but your map is incomplete. ABC is similar to EDC
Answer:
175 ft
Step-by-step explanation:
So because these triangles are similar, you can use ratios to find the distances. For the smaller triangle, 100/700 is a 1 to 7 ratio. From that, because it's the longer side, you can divide 1225 by 7 to find d, which is 175 ft.
Answer:
175 ft
Step-by-step explanation:
So because these triangles are similar, you can use ratios to find the distances. For the smaller triangle, 100/700 is a 1 to 7 ratio. From that, because it's the longer side, you can divide 1225 by 7 to find d, which is 175 ft.
suppose y varies directly with x, and y=25 when x=140. what is the value of y when x=36
Answer:
[tex]\displaystyle y=\frac{45}{7}[/tex]
Step-by-step explanation:
Direct Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
[tex]\displaystyle \frac{y}{x}=k[/tex]
Where k is a constant.
We know y=25 when x=140, and it's required to find the value of when x=36.
For any pair of values (x,y), their ratio is constant:
[tex]\displaystyle \frac{25}{140}=\frac{y}{36}[/tex]
Multiplying by 36:
[tex]\displaystyle y=36*\frac{25}{140}[/tex]
[tex]\displaystyle y=\frac{900}{140}[/tex]
Simplifying:
[tex]\mathbf{\displaystyle y=\frac{45}{7}}[/tex]
Hi Have a good day :)
Answer:
Thank you so much!!
Step-by-step explanation:
Have a good day also :)
Answer:
Thanks :)
Step-by-step explanation:
The ratio of the areas of similar polygons is 64: 16. What is the ratio of their sides
Answer:
8:4
Step-by-step explanation:
Given that,
The ratio of the areas of similar polygons is 64: 16, A₁:A₂=64: 16
We need to find the ratio of their sides. For similar polygons, the ratio of the area is proportional to the square of the ratio of their corresponding sides.
Let sides are x₁ and x₂. So,
[tex]\dfrac{A_1}{A_2}=(\dfrac{x_1}{x_2})^2\\\\\dfrac{x_1}{x_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{64}{16}}\\\\=\dfrac{8}{4}[/tex]
So, the required ratio is 8:4.
Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?
Answer:
rhe cost of one book was $4. 32/8=4
Step-by-step explanation:
32÷8=4 so mia spent 4 dollars
It’s drag and drop please help
Answer:
seven more than four times a number is fifteen - 4n+7=15
one-fourth the difference of a number and 15 - 1/4 (n-15)
one fourth a number decreased by 15 - 1-4 n - 15
the quotient of a number and seven is four - n divided by 7 = 4
a number raised to the power of four increased by 7 is 15 - n to the power of 4 - 7=15
Step-by-step explanation:
Find the value of x so that the function has the given value.
m(x) = 4x + 15; m(x) = 7
x = ___
Can you also explain how you solved it please. I might have some other problems using the same format. Thank you!
Answer:
-2
Step-by-step explanation:
Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?
Answer:
In 4 Hours
Step-by-step explanation:
1 hour: A: 30.25 B: 34.25
2 hours: A: 35.5 B: 38.5
3 Hours: A: 40.75 B: 42.75
4 Hours: A: 46 B: 46
PLZ HELP!!!! I"LL GIVE BRAINLIEST!!! AND 5 STARS! :) (^-^)
combine like terms,
-19 + 12x + 9
PLZ HELP!!!!!!!!!!!
Answer:
= 12x − 10 :)
Step-by-step explanation:
Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?
Answer:
If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
Step-by-step explanation:
You can use the formula to calculate the future value to find the money in the account after 4 years:
FV=PV*(1+i)^n
FV= future value
PV= present value=$1,200
i= interest rate=4.25%=0.0425
n=number of periods of time=4
FV=1,200*(1+0.0425)^4
FV=1,200*(1.0425)^4
FV=1,417.37
According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.
In ARST, mZR = (11x + 3)º, mZS = (x + 15), and mZT = (2x + 8).
Find mZR
Answer:
124°
Step-by-step explanation:
(11x + 3)° + (x + 15)° + (2x + 8)° = 180°
14x + 26 = 180
14x = 154
x = 11
m∠R = [11(11) + 3]° = 124°
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answer:
the last two
Step-by-step explanation:
Factor -4 out of -8d + 20.
The factored expression is
MEANING OF 万華鏡 AND ビアクガン
Answer:
kaleidoscope and Biakgan
Step-by-step explanation:
3 3/10 ÷ 1 4/7?
erdtcfyvghb (random stuff, it claims my question is too short. ignore this part!)
Answer:
2 1/10 would be your answer
Answer:
The answer is 21/10 or 2.1
Choose the function with the largest constant of variation.
Answer:
he answer is the third one
Step-by-step explanation:
I did it on edge
Simplify (62)2 what does it equal
Answer:
124
Step-by-step explanation:
62 * 2 = 124
I hope this helped! Please mark Brainliest, thank you so much!!!
With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance.
Here is the complete question.
With a beginning balance of $1200 and no additional charges during the next three months, you will just pay the minimum payment each month for the next three months. The APR is 24.99% and the minimum payment each month is 3% of the balance. Determine the finance charge, new balance, and minimum payment required for each of the next three months, and the starting balance for month 4 in the table below.
a) What is the total of minimum payments?
b) What is the total sum of the finance charges?
c) How much does the starting balance decrease after these three payments?
d)The total of your finance charges is what percent of our total payments?
Answer:
Step-by-step explanation:
Month Beginning Finance New Minimum
Balance Charge Balance Payment
1 $ 1200 24.99 1224.99 36.75
2 1188.24 24.75 1212.99 36.39
3 1176.60 24.50 1201.10 36.03
4 1165.07 24.26 1189.33 35.68
a.
The total minimum payments for 3 months = 36.75 + 36.39 + 36.03
The total minimum payments for 3 months = $ 109.17
b.
Total finance charges for 3 months = 24.99 + 24.75 + 24.50
Total finance charges for 3 months = $ 74.24
c. The starting balance decrease from 1200 to 1165.07, this implies that there is a reduction of $ 34.93
d. The total of finance charges = 74.24×(100/109.17)
The total of finance charges = 68% of total payments.
0.62, 0.38, 0.35, 0.49, 0.1, 0.21, 0.54, 0.6, 0.51, 0.28 Least to Greatest *
Answer:
0.25
Step-by-step explanation:
Answer:
0.1, 0.21, 0.28, 0.35, 0.38, 0.49, 0.51, 0.54, 0.60, 0.62.