Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
Using the concept of elimination, the cost of adult and children tickets are $12.5 and $7.5 respectively
Let :
Number of adult tickets = a Number of children's tickets = cCreating a system of equation thus :
6a + 5c = 112.50 - - - (1)
8a + 4c = 130 - - - - (2)
Multiply (1) by 4 and (2) by 5
24a + 20c = 450 - - - - (3)
40a + 20c = 650 - - - - (4)
Subtract
-16a = - 200
Divide both sides by - 16
a = 12.5
From (2) :
8(12.5) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 7.5
Hence, the cost of adult and children tickets are $12.5 and $7.5
Learn more : https://brainly.com/question/17802216
Luke measured caterpillars for a science project. He believes that caterpillar A is longer than caterpillar B because it has more digits after the decimal point. Do you agree or disagree Luke's thinking. Explain your reasoning.
Caterpillar A=4.125 cm
Caterpillar B=4.03
Caterpillar C=4.23
Answer: disagree
Step-by-step explanation:
Caterpillar A is longer, but not because of the decimal places. It is longer because of the place value.
Answer:
Disagreed
Step-by-step explanation:
In order to find the answer to this question you must remember that when dealing with finding the greater decimals you have to look at which have the greater place values in this case...
[tex]CA=4.125[/tex]
[tex]CB=4.03[/tex]
[tex]CC = 4.23[/tex]
Caterpillars 1 place value is already greater then caterpillar B's place value of 0, so it doesn't really matter how many more numbers to add after 1 and 0 because these two place values are already different 1 > 0
Meaning that "although Caterpillar A is greater then Caterpillar B, it is not because it has more digits simply because one is greater then zero." You can prove this by seeing that Caterpillar C is greater then Caterpillar A because two is greater then one.
[tex]4.125 > 4.03[/tex]
[tex]4.125 < 4.23[/tex]
Hope this helps.
write an integer to represent the situation. A deposit of $245
Answer:
+265
Step-by-step explanation:
a sum of money placed or kept in a bank account, usually to gain interest.
So basically your saving money instead of losing by, keeping it in the bank safely.
A survey is to be conducted using a random sample of citizens in a town,
asking them if they support raising taxes to increase funding for the public school. Write the question in a way that is likely to bias the results toward more yes answers. Write the question in a way that is likely to bias the results toward more
no answers.
Answer:
yes i do
Step-by-step explanation:
A survey that asks readers to return the survey would result in voluntary-response bias
What is voluntary response bias?When the response to a survey by a reader is not influenced by the author or the questioner of the survey the response sent by the reader is going to be a voluntary response.
In a voluntary response, the response is void of external influence therefore the reader gives his/her honest opinion without the external/Questioner's bias
Allowing your sample to self-select skews your data and prevents you from getting accurate results that are representative of your entire population, which is what is meant by voluntary response bias.
Hence we can conclude that a survey that asks readers to return the survey would result in voluntary response bias.
learn more about voluntary response bias:
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Please help me please
Answer:
the ham is the least expensive, the roast beef is most expensive
Step-by-step explanation:
hope this helps.
increase 120 by 5% (answer)
Answer:
what is question is this the question
Answer:
126
Step-by-step explanation:
[tex]\frac{5}{100}[/tex] × 120 = 6
120+6= 126
If f(x) = 2x^2 +1, complete the following:
a. f(-4)
b. f(-2)
c. f(0)
d. f(2)
e. f(4)
This is a timed test please i need help!!
Answer:
Sub the values in the brackets of each question into the equation
Step-by-step explanation:
eg. c. f(0) = 2(0)^2 + 1 = 1
Fred walked 20 miles in 8 days. If he continues walking at this rate, how many miles will he walk in 4 weeks? Be sure to set up a proportion to help you solve.
Answer:
70
Step-by-step explanation:
First, to find the constant rate divided 20 miles by 8 days.
20 ÷ 8 = 2.5
Then, we know that in one week there are seven days so we multiply 2.5 x 7
2.5 x 7 = 17.5
Lastly, multiply 17.5 times 4
17.5 x 4 = 70
MARK BRAINLIEST IF IM RIGHT PLEASE HAPPY TO HELP. HAPPY EARLY THANKSGIVING!!!!!
6 x +4 + 10x - 9 + 8x - 7=
Answer:
24x - 12
Step-by-step explanation:
6x + 4 + 10x - 9 + 8x - 7
6x + 10x + 8x + 4 - 9 - 7
24x - 12
List the transformations of the function
j(x) = 3(-7(x+2))-4
Answer:
transformations of function 3(-7(x+2))-4
vertical stretchhorizontal compressiontranslates lefttranslates downreflection across y-axisSuppose that Professor Rodgers needs one small group of students from his class to participate in a focus group. There are 11 students in the class. How many different combinations of three selected students can Professor Rodgers create? number of combinations of three students: _________If Professor Rodgers decides he needs four students in the focus group, how many combinations can he create? number of combinations of four students: _____________
Answer:
(A) 165
(B) 330
Step-by-step explanation:
Total number of students in the class = 11
(A) How many different combinations of 3 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 3
11! / [8! 3!] = 165
HINT: 8! or 8 factorial represents [8x7x6x5x4x3x2x1]
(B) How many different combinations of 4 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 4
11! / [7! 4!] = 330
Same hint applies here, for all numbers with the factorial sign.
Find the length of JI
Answer:
12
Step-by-step explanation:
Assuming that KI is 15 units longs, we can set up an equation by using the equations given.
2x-15+2x-6=15 /simplify
4x-21=15 /+21
4x=36 /÷ 4
x=9
Now that we know that x is 9 units, we plug it into the given equation of the line.
2*9-6=12
Thus, JI is 12 units long.
I hope this helps!
Name a multiple of 13 that is between 30 and 100.
Answer:
39
Step-by-step explanation:
just did 13 plus 13 plus 13
If it is 7:00 pm in New Mexico (NM), what time is it in Maryland (MD)?
United States
Pok
Morgan
Canon
Eastern
O 5:00 pm
O 8:00 pm
o 9:00 pm
O 6:00 pm
A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?
Answer:
3years
Step-by-step explanation:
Answer:
It will take for about 6 six years for the election for both positions be taken
I put D but I am not sure if that is the valid answer. Any help?
Explanation:
AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.
Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.
So far we have two pairs of congruent angles.
The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.
So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.
when ------, you change a number to one that is less exact, so it is easier to work with.
please help me in have 10 minutes left
for what natural values of n are the value of the following expression equal to a natural number: n+6/n
Answer:
n=1, n=2, n=3, n=6
Step-by-step explanation:
Natural #=1, 2, 3, ...
6 is the largest natural number possible here
1, 2, 3, 6 are factors of 6
n is equal to all factors of 6.
The entrance to an accessibility ramp is at ground level
The first section of the ramp covers a horizontal distance of 18 feet and rises to a
landing 1.5 feet above the ground
The second section of the ramp begins at the landing, it rises at a slope of t; and
covers another 9 feet of horizontal distance to reach the door
Second section
First section
Door
13 feet
ber
NOTE Sketch not drawn to scale
Answer the questions to compare the sections of the ramp
1. What is the slope of the ramp from the ground to the landing? Write your answer
as a fraction with a whole number numerator and denominator
Write your answer in the space below.
Answer:
250 feet
Step-by-step explanation:
Answer:
1)"rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
2)slope is the change in height, the vertical change, divided by the change in horizontal distance
3)2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
4)slope = 1/18 = (1/2)/9
5)the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically
2x – 2 < -4 or 2x – 2 > 20
Answer:
2x – 2 < -4 or 2x – 2 > 20 equals
Step-by-step explanation:
x < − 1 or x > 11
I hope this helps ya
After 7 hours of driving. Chad had gone 364 miles. What was his average speed? Explain how you got your answer.
Answer:
52 miles per hour
Step-by-step explanation:
Given:
Distance driven = 364 miles
Total time taken = 7 hours
Required:
Average speed of Chad
SOLUTION:
Average speed is the number of miles covered per hour.
Thus:
Average speed = distance covered / time taken to cover the distance
Average speed = [tex] \frac{364}{7} = 52 mph [/tex].
Chad's average speed is 52 miles per hour.
There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 7 girls and 2 boys write left-handed. What percentage of the sixth graders at this middle school write left-handed?
Answer:
6%
Step-by-step explanation:
90 + 60 = 1507 + 2 = 9Set up a proportion: [tex]\frac{9}{150} = \frac{x}{100}[/tex] Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6So, 6% of students in 6th grade were left-handedI hope this helps!
Step-by-step explanation: Ok so if there are 90 girls and 7 are left handed u use this method 6/90 multiply by 100 and u get 7.77%
Nutted now I’m shaking
Answer:
Um... Ok..
Step-by-step explanation:
...
The Lambert family uses up a 1/2
gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
Step-by-step explanation:
Given
Lambert family uses up a 1/2
gallon jug of milk every 3 days.
rate drink milk per day
Solution =1/2÷3
= 1/6
So the answer is 1/6
What is the value of 3-(-2)?
Answer:
6
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
-(-2) is equal to +2, so the equation is 3+2 which is 5
Help please? Write the equation for the Red line.
Brandon currently runs the mile in 6.8 minutes.
If he can cut 10 seconds off of his , -mile rate, what will his new mile time be?
Alex and two friends paid $21.75 to see a movie.How much did each
ticket cost
Answer:
Alex and his two friends had to pay $ 7.25 for a ticket.
Step-by-step explanation:
simply divide $21.75 by 3
Answer:
i believe its $7.25
Step-by-step explanation:
$21.75 divided by 3 = $7.23
A relation contains the points (negative2, 4), (negative1,1), (0,0), (1,1), and (2,4). Which statement accurately describes this relation?
Answer:
We have the points:
(-2,4), (-1, 1), (0, 0), (1, 1), (2, 4)
First, we can see a symmetry around the point (0, 0), then this is an even function. Where an even function is a function f(x) such that:
f(x) = f(-x)
And in this case we have:
f(-2) = 4 = f(2)
f(-1) = 1 = f(1)
Now, we can also assume that this is a quadratic function (or it behaves like a quadratic function near the range [-2, 2]).
Such that:
f(x) = a*x^2 + b*x + c
Now let's use the known points to find our equation, we start with (0, 0)
f(0) = 0 = a*0^2 + b*0 + c
then c = 0.
f(x) = a*x^2 + b*x
Now let's use the points (1, 1) and (-1, 1)
f(1) = a*1^2 + b*1 = 1 = a*(-1)^2 + b*-1
a + b = a - b
+b = -b
2*b = 0
Then we must have b = 0
f(x) = a*x^2
And now we can use the point (2, 4)
f(2) = 4 = a*2^2 = a*4
Then a = 1.
Our function is f(x) = 1*x^2
what is the perimeter of a rectangle
Answer:
p=2 (l+w)
Step-by-step explanation:
Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour. What is Sarah’s rate in miles per hour. Express your answer as a mixed number
Answer:no
Step-by-step explanation:
Answer:
17 [tex]\frac{1}{4}[/tex]