Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,
[tex]6a + 2c = 124[/tex]
as equation 1,
and
[tex]3a + 5c = 100[/tex]
as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.
[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]
This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.
[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]
Now substitute c into equation 2.
[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]
Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
Solve the problem.
The area of a square is 81 square centimeters. If the same amount is added to one dimension and removed from the other, the resulting
rectangle has an area 9 square centimeters less than the area of the square. How much is added and subtracted?
A. 3cm
B. 9cm
C. 12 cm
D. 4cm
Answer:
c
Step-by-step explanation:
Find the average number of people in these cities: New York, Philadelphia, Chicago and Detroit a. 3.35 million b. 40 million. C. 4.0 million d. 33.million
Answer:
The answer is maybe going to be D which is 33 million
Step-by-step explanation:
New york is a big city
Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)
A. x > -(1)/2
B. x < -(1)/2
C. x > 2/3
D. x < 2/3
PLS ANSWER ASAP!! WILL MARK AS BRAINLYIST!!!!
time left (3:23)!!
Find the diameter and circumference of each circle given its radius of 4 cm. Use pi = 3.14 and round answers to the nearest tenth.
John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1
Answer:
j = 23 years-old s = 92 years old.
Step-by-step explanation:
j = s - 70
s = 4j
j = 4j - 70
-3j = -70
j = 70/3
j = 23
s = 92
Find g(-6) when g(x)
= x+3/x-1
Answer: The answer would be 3/7.
Step-by-step explanation:
2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage
Answer:
A
Step-by-step explanation:
All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.
a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.
Answer:
8/30015 or .037%
Step-by-step explanation:
16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21
= 8/30015
The student body president of a high school claims to know the names of at least 1000 of the 1800 students who attend the school. To test this claim, the student government advisor randomly selects 100 students and asks the president to identify each by name. The president successfully names only 46 of the students. Identify the population and parameter of interest.
Answer: Population = Total students attend the school.
Parameter = Proportion of students named by president correctly.
Step-by-step explanation:
Population for a particular study is the largest possible group of individuals that are essential to be considered.
Parameter = measure of characteristic in a population.
By the above definition, we have
Population = Total students attend the school(1800).
Parameter = Proportion of students named by president correctly.
the volume of a rectangle prism is 8cm height 4 width.
Answer:
Step-by-step explanation:
NO LINKS!!! Plz help this is due tmr
Answer:
Step-by-step explanation:
a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.
23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.
A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.
Answer:
A. 107 kg
B. 49 kg
Step-by-step explanation:
I have 10 questions can someone help me please 1 9/5+8/5. 2 1/3+1/3 3 2/4+1/4
Answer:
1. 3 2 /5
2. 2/ 3
3. 3/4
Step-by-step explanation:
How to figure out square feet of counter tops
Answer:
Chapter Three: Calculate Total Countertop Square Footage
To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).
Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 2x + 5ex
Answer:
Step-by-step explanation:
f ''(x) = 2x + 5e^x
f '(x) = x² + 5e^x + D
f (x) = 1/3 x³ + 5e^x + C
please help urgent!!!!
Answer:
1
Step-by-step explanation:
see attached for more information
hope it's helps
Find the value of Y helpppp
Answer:
y = 4
Step-by-step explanation:
Both the triangles are congruent by SSS postulate.
Therefore,
[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]
Solve the system of equations by graphing. Look at the picture. Will Mark Brainliest
Answer:
See below
Step-by-step explanation:
Graphing:we are given two functions
[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]
where f(x) is a linear function and g(x) is a quadratic function
we want to figure out the solutions of the function
let's graph f(x):
the Black-table is attached
let's graph g(x):
the picture is attached
hence, the graph should be
the graph is attached
solutions stating:so we need solution(s) which satisfy(ies) the both functions
in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)
hence,
x={-1,3}
Can someone help me pls
72 would be the answer
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
A. Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
B. Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
C. Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
D. Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
Answer:
The correct answer is C.
Step-by-step explanation:
Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is [tex]2(l+w)[/tex], which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is [tex]2(20+12)[/tex] = [tex]2*32[/tex] = 64ft, so choice C is the correct answer.
1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31
36
O 42
O 48
PLEASE HELP!! 30 POINTS
Answer:
I think it is A I did the math but not all the way convinced
Step-by-step explanation:
Question: The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you can use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b. NEED HELP ASAP
Hello!
Here we are given a second-order polynomial, and the root form of the function.
[tex]y=a(x-c)(x-d)[/tex]
Where c and d are zeros of the function, which is where the graph intersects the x-axis.
[tex]y=a(x+4)(x-3)[/tex]
[tex]-6=a(2+4)(2-3)[/tex]
[tex]-6=-6a[/tex]
[tex]a=1[/tex]
Therefore, the equation of this polynomial would be [tex]y=(x+4)(x-3)[/tex], and the values of a and b would be the x-intercepts.
Hope this helps!
Find the perimeter
write the process plz
Answer:
118 cm
Step-by-step explanation:
the bottom is 30 cm (22+8)
the right side is 13 cm (29-16)
30+29+8+16+22+13 = 118
Answer:
118cm
Step-by-step explanation:
29+8+16+22+(22+8)+(29-16)
Please help will give brainliest
What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths
it is C forty-three and six hundredths.
ASAP
a golden bar has a mass of 12.5kg. the density of gold is 19.3 g/cm^3. work out the volume of the gold bar. give your answer to correct 3 sf.
Answer:
647.668 cm³
Step-by-step explanation:
12.5 kg = 12500 g
12500 g/19.3 g/cm³ = 647.668 cm³
A survey found that 20% of the people in Fiji drive the car without seatbelt. If 3 people are randomly selected, find the probability that at least 2 drive without seat.
Answer:
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of the people in Fiji drive the car without seatbelt.
This means that [tex]p = 0.2[/tex]
3 people are randomly selected
This means that [tex]n = 3[/tex]
Find the probability that at least 2 drive without a seatbelt?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]
[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]
0.104 = 10.4% probability that at least 2 drive without a seatbelt.
WILL MARK BRAINLIEST
Solve for y
110
75
100
55
Answer:
Answer for Y is 100....
Answer:
100
sorry if my answer is wrong
1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)
Answer:
170
Step-by-step explanation:
How the sales tax de-calculator works
Step 1: take the total price and divide it by one plus the tax rate.
Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
Step 3: subtract the dollars of tax from step 2 from the total price.
Pre-Tax Price = TP – [(TP / (1 + r) x r]
TP = Total Price.
