b. At the circus, three adult tickets and five child tickets cost $51, and five adult tickets
and two child tickets cost $47. Which system of linear equations below can be used to
determine the price of each ticket?
Let x represent the cost of an adult ticket, and let y represent the cost of a child ticket.
Answers
Answer: x = $7, y = $6
Step-by-step explanation:
Let x be the cost of an adult ticket
Let y be the cost of a children's ticket
Translate these sentences to algebra:
At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51
Five adult tickets and two child tickets cost $47: 5x + 2y = 47
Now we have two equations. Let's use substitution to solve.
3x + 5y = 51
3x = 51 - 5y
.: x = 17 - 5y/3
Now substitute this value of x into the second equation to find the numerical value of y:
5(17 - 5y/3) + 2y = 47
85 - 25y/3 + 2y = 47
-19y/3 = -38
-19y = -114
.: y = 6
Now find x:
x = 17 - 5y/3
x = 17 - 10
.: x = 7
So an adult ticket costs $7, and a child ticket costs $6 :)
Related Questions
Daneesha is the head chef at a restaurant. She combines the olive oil from three equal-sized bottles. One bottle is 2/3 full. Another bottle is 1/2 full. The third bottle is 1/3 full. What is the total amount of olive oil Daneesha combines?
Answers
Answer:
the answer is 1 1/2 bottles
Step-by-step explanation:
If 3^x=8 what does 3^-2x equal
Answers
Answer:
0.01538
Step-by-step explanation:
Which of the following numbers has the least number of 1’s in their binary representation? A) BAD(16) B) FED(16) C) CAB(16) D) ACE(16)
Note: the (16) means base 16
Answers
Answer: B
Step-by-step explanation:
How do you find the surface area of "most" 3D solids?
Answers
Surface area is the sum of the area of all faces
Which shows the solution to the inequality −4x > 36 A x > −9 C x < 9 B x > 9 D x < −9
Answers
Answer:
solution set of inequality 4x + 3 ≤5x + 7 is (-4, oo)
In rectangle EFGH, EH I FG and EH crosses the y-axis at (0.-2). If the equation of the line containing FG is x + 3y = 12, write the equation of the line containing EH in slope- intercept form. Show your work to justify your answer.
Answers
Answer:
y = (-1/3)x - 2
Step-by-step explanation:
First we should put the equation for FG into slope intercept form, which is y = mx + b. For this step, just solve for the y in the equation, which should be y = (-1/3)x + 4.
Next, since we know that FG and EH are parallel, their slopes must also be the same. We also know the (0, -2) is a point on EH, and also happens to be the y-intercept. Therefore, we can plug it back into the slope intercept equation and get y = (-1/3)x - 2, since the m is the same and the -2 is just the y-intercept given in the problem.
A box is 13.5 inches long, 9.25 inches wide, and 4.5 inches high. What is the volume of the box? Enter your answer, rounded to the nearest whole number, in the box.
Answers
Step-by-step explanation:
1st Step:
Volume of a cuboid : Length * Breath * Height
2nd Step :
Volume : 13.5 * 9.25 * 4.5
Which is equal to 561.9375
3rd Step:
Rounded up : 562
Answer:
562
Step-by-step explanation:
Last week, there were 40 problems assigned for math homework. Nisa did 55% of them correctly. How many problems did Nisa get right?
Answers
Answer:
she get 22 percent 22/40 is 40 she is bad XD
Please i need your help
Answers
Complete each exercise.
Order from least to greatest.
1. 1, 7, -1, -7
Answers
Answer:
-7 -1 ,1 ,1 .7
Step-by-step explanation:
In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE.
Help Please!
Answers
The area of Triangle ACE from the given diagram is; 150 sq.units
What is the area of the triangle?We are given;
AB = 44
AC = 30
ME = 10
Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.
Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.
By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM
Thus, we can say that KE = ME = 10
Formula for area of triangle is;
A = ¹/₂ * base * height
where;
base = AC = 30
Height = KE = 10
Thus;
A = ¹/₂ * 30 * 10
A = 150
Read more about area of the triangle at; https://brainly.com/question/17335144
Which of the following is a radius of D?
A. AB
B. BD
C. BC
D. AC
Answers
Answer:
BD
Step-by-step explanation:
the radius of a circle is the line from the centre of the circle to a point on the circle, then
BD is the radius of the circle.
PLEASE HELPPP!!! 20 PTS!
solve for x and y
Answers
Answer:
x= 19
y= 14
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A man earns rs 24000 per month and spends 70% of it find his monthly saving
Answers
Answer:
Savings=rs7200
Step-by-step explanation:
money spend=70% of 24000
=70/100*24000
=70*240
=rs 16800
savings=money earned-money spend
=24000-16800
=rs7200
Answer: rs 7200
Step-by-step explanation: So 70% of 24000 = 16800
24000-16800=7200
so he spends rs 16800 per month and has a saving of Rs 7200 per month from his monthly salary.
1. Which situation represents a chemical change!
A. burning a pile of twigs
B. boiling water in a teakettle
C. washing the mud off a dirty car
Answers
Answer:
tbh i think all of them are but go with C
Step-by-step explanation:
Answer:
burning and cooking are 2 examples of chemical change
Step-by-step explanation:
so I think it's is A. B can't be the answer because it's just boiling water since there's nothing in it, it's not really cooking
If you answer all of these I will give brainliest if it will let me!!!!!
6x - x + 3 = _
-x - 2y - 8x - 2y = _
7p + 3 + 4p + 5 = _
2a + 4 + 2a + 9 = _
x + 5(6 + x) = _
4a - 3b - 7a - 3b = _
-3(6 - 2r) - 3r = _
-2(2x - 5) - 4x = _
2a + 3(2 + a) = _
2(x - y) + 3x = _
-4 (3m + 2n) - 5m + y = _
¼ (m + 2n) - ⅓ (3m - 3n) = _
⅖ (2a - b) + ⅔ (a + 2b) = _
Answers
Answer:
1-8
Step-by-step explanation:
I was only able to finish one through eight The rest follow the same concept though
5 The taxi goes by your hotel at 8:00, 8:15 and 8:30. The bus goes by your hotel at 8:00, 8:12 and 8:24. If neither the taxi or bus change their rates of speed, at what time will the bus and taxi arrive at the same time other than 8:00?
Answers
Evaluate x+(−21) when x=−27.
Answers
Answer:
-48
Step-by-step explanation:
Subsitute -27 for x
-27+(-21) when you add negatives you keep the negative sign
-48
Renu save Rs. 3000 from her salary. If this is 10% of her salary what is her salary b) Find the area of parallelogram if the base is 20cm and the corresponding height is 5cm.
Answers
Area of parallelogram = base * height = 20 cm * 5 cm = 100 square cm
Hope that helps :3
How do I put a picture of my problem on here. Thanks
Answers
Answer:
There is something that looks like a paper clip and you put your photos there.
Population was 249583 and is now 318270. What percentage has it grown in 10 years
Answers
Answer:
By about 28% has the city grown over the past ten years.
Step-by-step explanation:
Ten years ago, the city's population was 249,583. Its current population is 318,270. By about 28% has the city grown over the past ten years. [ Solution: Population of the city before 10 years = 249583; Current population = 318270; Population grown =318270-249583 = 68687; 68687/249583 = 0.2752; 0.2752 x 100 = 27.52%. ]
Answer:
[tex] \frac{318270}{249583} = 1.277[/tex]
It has grown by 0.277;
by percentage this is;
[tex]0.277 \times 100 = 27.7[/tex]
27.7% increase
A bag contains some red, blue, and green marbles. 30% of the marbles are blue and 40% of the marbles are green If there are a total of 150 marbles in the bag how many marbles are red?
Answers
Answer:
45
Step-by-step explanation:
If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150
We do (30/100)*150 which equals 45.
what two numbers does square root 128 lie between
Answers
Answer:
11 and 12
Step-by-step explanation:
[tex]\sqrt{128} =11.3[/tex]
meaning it lies between 11 and 12
The formula for distance traveled d is d=rt, where r is the average speed of the object and t is time traveled. if an object travels 30 meters in 20 seconds, what is its speed?
Answers
Answer:
1.5 meters per second.
Step-by-step explanation:
Distance formula:
d = rt
where d = distance, r = average speed and t = time traveled.
They told us that an object travels 30 meters in 20 seconds.
So we can say d = 30 and t = 20
if you put these values back into the distance formula you get:
d = rt
30 = r times 20
30 = 20 r
So now we want to find what "r" (average speed) is.
Divide both sides by 20.
20 r = 30
r = = 1.5 meters per second.
The graph of y= -2x + 10 is:
A. a point that shows the yintercept. B. a line that shows only one solution to the equation.
C. a point that shows one solution to the equation.
D. a line that shows the set of all solutions to the equation,
Answers
Answer:
d is the right answer for your question
Analyzing Bivariate Data
In this activity, you will draw a scatter plot and the line of best fit to analyze a situation.
Jeremy is on the planning committee for the rock climbing club. He is putting together a trip where members
can go outdoor rock climbing. He is trying to determine how high the group should climb and how long the
trip should last. He calls multiple parks in the area that offer rock climbing and collects data on the height of
the rock formations and the average time it takes people to reach the top and come back down. The data he
found is shown.
Time to Climb (min)
Height (ft)
It gives me a list of numbers in a chart
Time to climb : 30 ,45 , 115 , 87, ,160,60,135,117,55,145,95,150,67,120,100,88,138,75,167,120
Height: 85,120,289,194,434,241,351,339,180,400,248,370,155,296,271,255,315,215,405,317
Answers
Answer:
The line of best fit in scatter diagram, the variable have positive correlation.
Scatter Diagram is attached :
Step-by-step explanation:
Solve the following problem. Give the equation using x as the variable, and give the answer.
The sum of three times a number and 8 more than the number is the same as the difference between −22 and twice the number. What is the number?
Question content area bottom
Part 1
Write the equation using x as the variable. Choose the correct equation below.
A.
3x+(x+8)=−22−2x
B.
3x−8x=2x−(−22)
C.
3x−8x=−22−2x
D.
3x+(x+8)=2x−(−22)
Answers
Answer:
A. 3x + (x+8) = -22 - 2x
Step-by-step explanation:
Let the number equal x.
Set up the first half of the equation.
The sum of three times the number and 8 more than the number can be written as:
3x + (x+8)
Sum means that you add the components.
Set up the second half of the equation.
The difference between -22 and twice the number can be written as:
-22 - 2x
Difference means subtraction, and because -22 is written first, that is the number that you subtract from.
If you set the halves of the equation equal, you get:
3x + (x+8) = -22 - 2x
Therefore, the answer is A.
z^3 - z^2 + z for z = -10
Answers
Answer:
[tex] - 1110[/tex]
Step-by-step explanation:
STEP1:
1.1 10 = 2•5
(10)2 = (2•5)2 = 22 • 52
Equation at the end of step1:
((0 - (103)) - (22•52)) - 10
STEP2:
2.1 10 = 2•5
(10)3 = (2•5)3 = 23 • 53
Equation at the end of step2:
((0 - (23•53)) - (22•52)) - 10
STEP3:
Final result :
-1110
write 15+45 as a product of two factors using the gcf and the distributive property
Answers
Answer:
15(1 + 3)
Step-by-step explanation:
15 written in its prime factors is 3 × 5 (15 × 1)
45 written in its prime factors 3 × 3 × 5 (15 × 3)
The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45
∴ 15 + 45 = 15(1 + 3)
Hope this helps! Make me brainiest, lol it's fine if you don't. : )
An athlete runs a distance of 345 metres (to the nearest metre) in a time of 44.6 seconds (to the nearest 0.1
second).
What is her slowest possible speed?
Answers
Answer:
7.716 (with margin: 0.001)
Step-by-step explanation:
speed = distance ÷ time
For speed to be at a minimim you need distancemin ÷ timemax
Min distance = 345 - 0.5 = 344.5m
Max Time = 44.6 + 0.05 = 44.65 sec
speedmin=344.5 ÷ 44.65 = 7.7155..... = 7.716 m/s (3 dp)
The slowest speed possible of the athlete is required.
The minimum possible speed of the runner is 7.7 m/s.
Speedd = Distance run by the athlete = 345 meters
t = Time taken by the athlete to cover the distance = 44.6 seconds
Speed is given by
[tex]s=\dfrac{d}{t}[/tex]
[tex]s=\dfrac{345}{44.6}[/tex]
[tex]s=7.735\approx 7.7 \text{m/s}[/tex]
The speed of the athlete should be at least 7.7 m/s any less than that and the athlete will not be able to cover the required distance in the given time.
Learn more about speed:
https://brainly.com/question/6504879