The school that Brenda goes to is selling tickets to the annual talent show. On the first day of the ticket sales the school sold 2 adult tickets and 14 child tickets for a total of $96. The school took in $120 on the second day by selling 12 adult tickets and 8 child tickets. find the price of an adult ticket and the price of a child ticket.
Answers
c=cost per child ticket
2a+14c=96
12a+8c=120
solve
simplify by dividing firs equation by 2 and 2nd by 4
a+7c=48
3a+2c=30
multiply first equaiton by -3 and add to second
-3a-21c=-144
3a+2c=30 +
0a-19c=-114
-19c=-114
divide both sides by -19
x=6
sub back
a+7c=48
6+7c=48
minus 6
7c=42
divide 7
c=6
adult ticket=$6
child ticekt=$6
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Tax" is an added amount when finding the grand total of a bill. True or false
0.96 less than or great than0.95
James has 861 feet of rope. There are 14 teams of hikers.If James gives an equal amount of rope to each team, how much rope will each team receive?
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Rate would be calculated as:
rate = distance / time
Which function can the company use to determine its total revenue from the two products, R(x), after they have been on the market for x years, and approximately what will be the revenue generated by sales of the products after 6 years?
R(x) = 9,000[7(1.035)x + 9(1.021)x]; $635,580
R(x) = 9,000[7(1.035)x + 9(1.021)x]; $169,200
R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936
R(x) = 9,000[9(1.035)x + 7(1.021)x]; $688,050
Answers
y = A (b) ^ x
Where,
A: initial amount
b: growth rate
x: time
Therefore, substituting values we have:
Product A:
y = 63000 (1,035) ^ x
Product B:
y = 81000 (1,021) ^ x
The sum of the products is:
R (x) = 63000 (1,035) ^ x + 81000 (1,021) ^ x
Rewriting:
R (x) = 9000 (7 (1,035) ^ x + 9 (1,021) ^ x)
Evaluating for 6 years:
R (6) = 9000 * (7 * (1,035) ^ 6 + 9 * (1,021) ^ 6)
R (6) = 169200 $
Answer:
The revenue generated by sales of the products after 6 years is:
R (x) = 9,000 [7 (1,035) x + 9 (1,021) x]; $ 169,200
Answers
Answer:
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(area of base)(height). If the radius is always equal to the height of the cone, then V = (1/3)(πh²)(h), where we have eliminated r. Shortened, this comes out to V = (1/3)(π)(h³).
We want to know how fast h is increasing when h = 3 ft.
Taking the derivative dV/dt, we get dV/dt = (1/3)π(3h²)(dh/dt), or, in simpler terms, dV/dt = πh²(dh/dt). Set this derivative = to 27 ft³/min and set h = 3 ft.
Then 27 ft³/min = π(3 ft)²(dh/dt) and solve for dh/dt: (3/π) ft/min = dh/dt when h = 3 ft.
Answers
Answer:
...................
a. True
b. False
Answers
An angle is formed by the junction of two rays. Usually, when two rays are in junction, two angles are formed. Either the formed angle is an acute angle, obtuse angle, or a right angle. The other angle that comes with the formed angle mentioned earlier would be a reflex angle. When two rays form just a line, the angle formed would be just one which is a complete rotation, thus the angle would be a 360 angle.
b. x = 4,y = 3/8
c. x = 11,y = 3/8
d. x = 4,y = 8/3
Answers
To find the value of x and y we should know the properties of the Parallelogram.
Parallelogram
A parallelogram is a quadrilateral, whose opposite sides are always parallel and equal to each other.
Given to us
- ON=5X-7,
- LM=4X+4,
- NM=X-7,
- OL=3Y-4
Solution
For the quadrilateral LMNO to be a parallelogram the opposite sides of the parallelogram must be equal to each other. Therefore,
- LM = ON, and
- OL = NM.
Equation 1
Substituting the value in equation 1,
Equation 2
Substituting the value in equation 2,
OL = NM
Substituting the value of x
Hence, the value of x and y should be 11 and for LMNO to be a parallelogram.
Learn more about Parallelogram:
5x-7 = 4x+4 solve for x
substitute x in (x-7) to get 11-7
3y-4 = 11-7 solve for y