The number of adult and student tickets are 112 and 68 respectively
How to determine the number of adult and student tickets?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Set up equations to represent the problem.
Let the A and S represent the numbers of adult and student ticket respectively. So we can write:
A + S = 180 --- (1)
14A + 10S = 2248 --- (2)
From (1):
A = 180 - S ----(3)
Put (3) in (2):
14A + 10S = 2248
14(180 - S) + 10S = 2248
2520 - 14S + 10S = 2248
2520 - 4S = 2248
4S = 2520 - 2248
4S = 272
S = 272/4
S = 68
Put S = 68 in (3):
A = 180 - S
A = 180 - 68
A = 112
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HELP PLEASE 15 POINTS
All you have to do is rotate the left-hand triangle to match the right one, and you see that the angle degrees match up, so KL = 9.5
Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20)
Answer:
y - 20 = (-1/5)(x - 5)
Step-by-step explanation:
The slope of the given line is 5. The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:
Slope of perpendicular line here is -1/5.
We use the point-slope formula as a framework here:
y - 20 = (-1/5)(x - 5)
a rectangular garden has a perimeter of 100 meters. the length is four times it’s width. find the dimensions of the garden.
Answer:
Step-by-step explanation:
p = 100
l = 4w
l = 80
w = 20
80 = 20*4
HELP PLEASE!!
If –8x + 2y = -4 is a true equation, what would be the value of 40x – 10y?
what is the value of 6(2b-4) when b+5?
Answer:
The value of 6(2b-4) is 36.
Step-by-step explanation:
Given expression: 6(2b-4)
To find the value of 6(2b-4) at b=5, we need to substitute the b=5 in the expression, we get
6(2(5)-4)
= 6(10-4)
=6(6)
= 6x6=36
⇒ 6(2(5)-4)=36
Answer:
The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation:
Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Answer:
Positive
Step-by-step explanation:
Both of the roots are real numbers so that means the discrimnat is greater than zero or positive.
In the quadratic equation x2 - 8x + a = 0; what is the value, a, in order to form a perfect square?
Answer:
16
Step-by-step explanation:
(x - y)² = x² - 2xy + y²
x = x and y = a
2xy = 8x
2*x*a = 8x
a = [tex]\frac{8x}{2x}[/tex]
a = 4
a² = 16
small perfect cubes.
2.
1. A company makes square picture frames
whose sides are integer lengths. Select the
area that would satisfy this requirement.
a) 14 in?
b) 16 in?
c) 18 in?
d) 1.5 in2
The bottom edge of a 16-foot long cantilever is given by the equation y = 2Vx, where y is the distance the
bottom edge is from ground height, in feet.
y
(a) What is the value of b, the height of the
cantilever, in feet?
b
T
y=2&x
b) To the nearest tenth of a foot, what is the
thickness, T, of the cantilever at x =6 feet?
Answer:
[tex](a)\ b = 8[/tex]
[tex](b)\ T = 3.1[/tex]
Step-by-step explanation:
Given
[tex]y = 2\sqrt x[/tex]
See attachment
Solving (a): Find b
At point b, [tex]x = 16[/tex]
So, the value of b is:
[tex]b = 2 * \sqrt{16[/tex]
[tex]b = 2 * 4[/tex]
[tex]b = 8[/tex]
Solving (b): Find T
First, we calculate the value of y at point T
[tex]y = 2\sqrt x[/tex]
At point T, [tex]x = 6[/tex]
So:
[tex]y = 2 * \sqrt 6[/tex]
[tex]y = 2 * 2.45[/tex]
[tex]y = 4.9[/tex]
To calculate T, we subtract the calculated height (y) from the value of b
[tex]T =b - y[/tex]
[tex]T = 8 - 4.9[/tex]
[tex]T = 3.1[/tex]
There was 1/3 of a box of cereal left. Four brothers shared it evenly how much cereal did they all get
Answer:
1/12
Step-by-step explanation:
1/3 divided by 4
keep it change it flip it
would change to 1/3 times 1/4 = 1/12
hope this helps!
Which is NOT true?
A
16 + 3 = 11 + 8
В.
16 = 16
C.
16 - 4 = 7 + 6
D
16 = 19-3
Answer:
C. 16 - 4 = 7 + 6
Step-by-step explanation:
16 - 4 = 12
7 + 6 = 13
12 does not equal 13.
Hope this helps! :)
Answer:
C
Step-by-step explanation:
A is true because 16 + 3 = 19 and 11 + 8 = 19
B is true because 16 = 16
C is Not true because 16 - 4 = 12 and 7 + 6 = 13
D is true because 19 - 3 = 16
Mark me Brainllest plz
What is the measure of the internal angle H' of the image in degrees
Answer:
40 degrees
Step-by-step explanation:
- All internal angles of a triangle add up to 180 degrees.
- A right angle is 90 degrees.
90+50=140
subtract 140 from 180, which is 40 degrees.
HELP!!! ANYONE!! ASAP!!!
Answer:
A
Step-by-step explanation:
I'm not going to give an explanation but for next time, the stem is the tens place and the leaf is the ones place.
someone help me pls. 24 points
Use SAS to explain why ∆XYZ ≅ ∆VWZ !!!!!!!!!! Answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Which ordered pair is the solution to the system of linear equations y= -7x+2 and. y=9x - 14
A (-5,1)
B (1,-5)
C (5, -1)
D (-1,5P
The answer is (1,-5), If you put those two on a graph, that point is where they collide.
ASAP, REALLY EASY If x = -3 then what is -x
Answer:
3
because it says -3
so yeah
atleast i hope Im so bad at math
PLS HELP WILL GIVE BRAIN THINGY
Answer:
Teachers are tough
Step-by-step explanation:
your welcome i hope you do good in ur test! :)
Which statement is not true about the pattern shown?
2 4 8 16
3: 612' 24'
Answer:
Each fraction is greater than the previous.
Step-by-step explanation:
Each fraction is equivalent to 2/3 and the next is 32/48 so the first choice is not true.
svjdp jeos firj r rrr
What is the equation for the line?
Answer:
y=mx+b
so, y=1/4x+6
Step-by-step explanation:
plug in, then simplify the slope.
A
5
B
10
C
6
D
4
pls help
Answer:
Pretty sure it's C.
Step-by-step explanation:
A and B are 6 units away from each other.
Answer:
C
Step-by-step explanation:
Count the boxes
Bob can paint a fence in 12 hours, and working with Jen can paint a fence in 4 hours. How long would it have taken Jen to paint the fence alone?
Answer:
6 hours
Step-by-step explanation:
For Bob
12 hours = 1 fence
1 hour = 1/12 fence
Together Bob and Jen
4 hours = 1 fence
1 hour = 1/4 fence
Now, for Jen:
1 hour = 1/4 - 1/12= 3/12 - 1/12 = 2/12=1/6
Find the amount of time Jen will need:
1/6 fence = 1 hour
1 fence = 6 hour
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
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Find the midpoint of the segment with the following endpoints.
(−9,2) and (−5,−6)
Answer:
(-7, -2)
Step-by-step explanation:
A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?
Answer:
f(4) = 6
Step-by-step explanation:
Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:
y = mx + b
is the same thing as
f(n) = y = mn + b.
It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.
The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(1) = 1 +2
3 = 3
Now do the same thing for f(4):
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(4) = 4 + 2
f(4) = 6
Write an EQUATION that represents what is seen in the figure.
Step-by-step explanation:
x°+55°+40°=180°
x=180-95
×=85°The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?
Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base
Helllllllpppppp me plz
Answer:
90 degrees
Step-by-step explanation:
Answer:
x=103
Step-by-step explanation:
sum=(n-2)*180
sum=(6-2)*180
sum=4*180
sum=720
90+155+112+120+140+x=720
617+x=720
x=720-617
x=103
Help! I will give me the brainiest!
Answer:
48 Ounces of red
Step-by-step explanation:
4+3=7
112/7= 16
you will need to add 3 ounces of red and 4 ounces of blue 16 times
16 x 3 (ounces of red)= 48