Answer:
They sold 30 adult tickets and 50 kids tickets.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of adult tickets sold
y is the number of kids tickets sold.
80 tickets are sold
This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]
For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.
This means that:
[tex]7.5x + 6y = 525[/tex]
Since [tex]x = 80 - y[/tex]
[tex]7.5(80 - y) + 6y = 525[/tex]
[tex]600 - 7.5y + 6y = 525[/tex]
[tex]1.5y = 75[/tex]
[tex]y = \frac{75}{1.5} = 50[/tex]
[tex]x = 80 - y = 80 - 50 = 30[/tex]
They sold 30 adult tickets and 50 kids tickets.
Essentials of University Mathematics
Example 3.
Find the length of the vector PQ from the point P(3.-5. 2) to the
point QC-5.4.9)
Find a unit vector with the direction of PQ
Answer:
The length of the vector is of [tex]\sqrt{194}[/tex]
The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
Step-by-step explanation:
Vector from point P(3,-5,2) to Q(-5,4,9)
The vector is:
[tex]PQ = Q - P = (-5-3, 4-(-5), 9-2) = (8,9,7)[/tex]
The length is:
[tex]\sqrt{8^2+9^2+7^2} = \sqrt{194}[/tex]
The length of the vector is of [tex]\sqrt{194}[/tex]
Find a unit vector with the direction of PQ
We divide each component of vector PQ by its length. So
[tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
The unit vector with the direction of PQ is [tex](\frac{8}{\sqrt{194}}, \frac{9}{\sqrt{194}}, \frac{7}{\sqrt{194}}[/tex]
PLS HELP WILL GIVE BRAINLESS
Given 4 < a < 5, 2 < b < 4 Find: a / b
Answer:
I hope this helps!
Step-by-step explanation:
4<a<5
2<b<4 multiply
4x2 < axb < 5x4
8<ab < 20
Answer:
1<a/b<2.5
Step-by-step explanation:
bro you're gonna give me brainless ://
We are given 4<a<5 and 2<b<4 and are asked to find a/b.
Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.
For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).
Given these extremes, we can now rewrite the inequality.
(smallest value)<a/b<(largest value)
1<a/b<2.5
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x
A rectangle has an area of 4(x + 3) square units. x + 3= width, 4=length Use the distributive property to write an equivalent expression for the rectangle's area. Answer _______
Answer:
4x + 12
Step-by-step explanation:
4*x + 4*3 = 4x + 12
Notice what has happened. The plus sign remains.The 4 multiplies by both the x and the 3That's as far as you can take the problem. You cannot reduce it any further or combine it in any way. The reason is that the x has a 4 in front of it and the 12 has no x.
When those terms are separated by a plus or minus sign, the terms are not the same. Unlike terms cannot be combined.
Answer: 4x+12=4x+12 or 4x+12=4(x+3)
Step-by-step explanation:
(x+3)(4)=4(x+3) *because length x width=areaDistribute 4 into the parenthesis 4x+12=4(x+3)you can go even further4x+12=4x+12Hope this helps!
Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square
Answer:
pyramid, solid, polyhedron
Step-by-step explanation:
The given figure is a pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.
The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.
Learn more about pyramid here
https://brainly.com/question/13057463
#SPJ2
Identify the smallest of the similar triangles. Then find x
The population of a city has increased by 33% since it was last measured. If the current population is 26,600, what was the previous population?
Answer:
26600 - 33 = 26566
Step-by-step explanation:
sum
Answer:
17,420
Step-by-step explanation:
you multiply 26,000 by .33 which gets 8,580
then subtract 8,580 from 26000 which is 17420
What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?
(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft
Answer:
40 ft
Step-by-step explanation:
lxbxh is 40 hope it helps have a great day Mark me as brainiest please
the cost of 24 water bottles is $6. Which expression shows how to find the cost of 10 bottles of water? a.) 24/10 × 6
b.) 6/10 × 24
c.) 6/24 × 10
d.) 24/6 × 10
Answer:
d. is ur answer
Step-by-step explanation:
A pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?
Answer:
First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.
This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!
Step-by-step explanation:
Find the 9th term of the geometric sequence show below
Answer:
40x^20
Step-by-step explanation:
Each sequence the x value doubles.
Each sequence the x exponent goes up by 5
Marking as brainliest
So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!
you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.
sorry if that's confusing or wordy! hope it helps!
First CORRECT answer get branliest Please help!
Answer:
36^6 or 2176782336
Step-by-step explanation: if you multiply 10^2 would equal because you would multiply 10 by 10 and 4^3 would equal 64 because you would have to multiply four 3 times (4 x 4 x 4) and you subtract 100 and 64 (100 - 64) and you get 36 BUT, the question says "Give your answer as APO 6, so you put your answer as 36^6 or 2,176,782,336
ted is twice his sister's age and three years younger than joe. ted's sister is half of a century plus ten. how old is ted how old is ted's sister
Answer:
120, 60
Step-by-step explanation:
half a century = 60 + 10 x 2 = ted.
she is 60.
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14.
Answer:
V = 262.61 m³
Step-by-step explanation:
Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.
Formula: The formula for the volume of a cone is V = 1/3hπr².
Solve: V = 262.610935 m³
PLEASE HELP!! Given the diagram below, find the dimensions of the rectangle if the area is 128 square feet. What is the X=? Width=? Length=?
A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?
Answer:
108 seconds i belive
Step-by-step explanation:
40 x 2 = 80 seconds and if you add the 9ft 108 seconds
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answer:
4+62=66
Step-by-step explanation:
10.
The lines graphed below show the amounts of water in two tanks as they were being
filled over time.
TANK FILLING RATES
+
Amount of Water (gallons)
1,800
1,600
1,400
1,200
1,000
800
600
400
200
Tank A
Tank B
0
0.5
1 1.5 2
Time (minutes)
For each tank, explain whether or not there is a proportional relationship between
the amount of water, in gallons, and the time, in minutes. If there is a proportional
relationship, identify the unit rate. Use specific features of the graph to support
your answer
hp
Answer: Step-by-step explanation:
A proportional relationship exists. Since the graph is a straight line, you can say.
Tank A's unit rate is 666 2/3 gallons per minute. You'll figure it out by multiplying 1000 gallons by 1.5 minutes. 1000 divided by 1.5 equals 666.66 gallons, or 666 2/3 gallons.
The unit rate for Tank B is 300 gallons per minute. You can determine this by using 600 gallons in 2 minutes. 600/2 = 300 gallons per minutes
What’s the answer to this ?
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
Answer B will be the best answer for your question.
Step-by-step explanation:
Polygons usually have straight sides, but this one does not.
If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?
Answer:
20 adults
100 Children
Step-by-step explanation:
Answer: 20 adults and 100 children
Step-by-step explanation:
a = adults, c = children
120 = a + c
c = 5a
120 = a + 5a
120 = 6a
20 = a
20 times 5 is 100 so 100 children
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answer:
283.5
Step-by-step explanation:
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table. If a person is selected at random, what is the probability that the person is taller than 180 centimeters and has black hair?
A) 0.257
B) 0.351
C) 0.360
D) 0.116
Answer:
Option D
Step-by-step explanation:
Total number of employees in the organization = 250
Total person who have height greater than 180 centimeters and also have black hair = 29
Probability of choosing a person who is taller than 180 centimeters and has black hair is
[tex]\frac{29}{250} = 0.116[/tex]
Hence, option D is correct
Answer:
The correct answer is D
Step-by-step explanation:
D) 0.116
You have to find the probability of choosing a person at random taller than 180 cm and with black hair.
In the data provided 29 people meet that criteria. Out of 250 people in total you just divide.
29/250=0.116
The net of a triangular pyramid is shown.
Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net?
Answer:
48 in²
Step-by-step explanation:
4x1/2x4x6=48
The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105
Answer:
sorry I'm late but it's b I'm on unit test on edge
Answer: it is b
Step-by-step explanation:
A stereo speaker in the shape of a triangular pyramid has a height of 8.25 inches. The area of the base of the speaker is 22 square inches. What is the volume of the speaker in cubic inches?
A. 60.5 in3
B. 181.5 in3
C. 90.75 in3
D. 243 in3
Answer:
A. 60.5 [tex]in^{3}[/tex]
Step-by-step explanation:
A = 1/3(area of base)(h)
= 1/3(22)(8.25)
= 60.5 [tex]in^{3}[/tex]
What type of data display is shown below?
Student Grades
60
69
99
82
92
60
70
HA
100
80
90
O A. Histogram
O B. Box-and-whisker plot
C. Stem-and-leaf plot
O D. Scatterplot
Answer:
B) Box-and-Whisker plot
