Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
The average commute times for employees of a large company is 23 minutes.
The commute time of 12 employees are
25, 33, 26, 29, 17, 29, 42, 19, 15, 52, 11, and 14.
Enter the sample mean and the population mean in the boxes.
x¯ =
min
μ =
min
Answer:
x¯ = 26 min
μ = 23 min
Step-by-step explanation:
I took the test and these were the answers.
What's the answer to
"find the value of
√121 + 3√125" "?
Answer:
11+15√5
Step-by-step explanation:
mat.hway
HELP ME PLS♀️‼️
What rational number subset(s) do 2, 5, 7, 9, 13 belong to??
Answer:
Natural numbers , whole numbers, Integers
fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years
Answer:
A = $20,940
Step-by-step explanation:
Interest = Principal x Rate x Time
I = prt
I = 15000(.018)(22)
I = 5940
Interest = $5,940
Total Amount = Principal + Interest
A = P + I
A = 15000 + 5940
A = 20940
Given that (√3)^n = 3^x/27^y^1
express n in terms of x and y.
if the probability of rain tomorrow is 0.15 what is the probability that it will not rain
Answer:
85% or 99.85%
Step-by-step explanation:
If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.
If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.
I need to know the surface area of this prism please help !!!! I will give brainlist !
Answer:
614
Step-by-step explanation:
15 x 13 = 195 two times 195 x 2 = 390
4 x 15 = 60 two times 60 x 2 = 120
4 x 13 = 52 two times 52 x 2 = 104
104 + 120 + 390 = 614
Answer:
SA = 2(l·w)+2(w·h)+2(l·h)
SA = 614 sq in
Step-by-step explanation:
SA = 2(4x13)+2(13x15)+2(4x15)
= 2(52)+2(195)+2(60)
= 104 + 390 + 120
= 614
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
[tex] \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}[/tex]
[tex]2 \times 3.14 \times 3 \times (3 + 2)[/tex][tex]18.84 \times 5[/tex][tex] \boxed{\mathrm{94.2 \: yd {}^{2} }}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem. The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation. The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Answer:
????
What's the question here? I would love to help!
How many ways can you arrange the letters in the word Vacuum?
Answer:
The answer is 360 ways
Step-by-step explanation:
Answer:
720 arrangements
So the six letters can be a combination of 6×5×4×3×2×1 letters or 720 arrangements.
Step-by-step explanation:
Someone please please help and
Thanks so much
which expressions are equivalent to 4-3 over 4-1
Answer:
B
cause when dividing you are subtracting the exponents
so it 4^-3+1 = 4^-2
you shouldnt have negative exponents
so you flip it, which become 1/4^2
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
10. Tamara wants to find the height of a tree outside her home. Using her clinometer, she measures the slope angle from 8 feet away from the base of the tree and gets an angle of 40o . If Tamara's eye level is 5 feet above the ground, how tall is the tree (rounded to the nearest tenth of a foot)? Show your work.
Answer:
11.7 ft
Step-by-step explanation:
Remember the notation SOHCAHTOA
We would be using tan because we have been given the adjacent and we are to determine the opposite value
tan 40 = opposite / adjacent
0.8391 = opposite / 8
opposite = 0.8391 x 8
6.7
Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Please find attached a diagram explaining this question
It is winter if and only if it is the month of
December
Answer:
false
Step-by-step explanation:
winter can lead into the months of January February and others.
A kayak is $329.95, marked 33% off. Discount: ____ Selling Price __
Answer:
$108.88
Step-by-step explanation:
because 329.95×0.33= 108.88
How would you find the missing value? 15/4=5/x
15(4) = 5x
15(x) = 5(4)
15 14 =5+x
Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.
The answer would be 15(4) = 5x
The table below shows how the length of Alex's
lizard changes over time.
Age
(years)
Length
(centimeters)
1
1
5.0
2.
7.4
3
9.8
4
12.2
5
14.6
What is the slope of the table?
Answer: The domain is all possible inputs and the inputs in this are {1, 2, 3, 4, 5}
Step-by-step explanation:
Inputs(Domain) 1, 2, 3, 4, 5 Outpust (Range) 5.0, 7.4, 9.8, 12.2, 14.6
What is the mode of this data set?
12, 12, 13, 14, 17, 16
Answer:
Mode = 12
Step-by-step explanation:
If you need--
Median-13.5
Mean-14
Answer:
12
Step-by-step explanation:
the mode is the number that is the most in fashion
here 12 appears the most
Does anyone know how to solve this?
Strictly increasing functions:
Let a function f(a) for x = a, then,
f(a + h), for x = a + h,
If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.
In the given graph, there are straight lines so you can say increasing interval would have +ve slope.
For x = -5 to -4, it increases = [-5, -4]
For x = 1 to 3, it increases = [1, 3]
Answer: [-5, -4] , [1, 3]
find sin(a) in the triangle
Answer:
the answer is [tex]\frac{20}{29}[/tex]
Step-by-step explanation:
A room is 90 inches wide, and 145 inches long. What is the perimeter of the room?
Answer:
I think 50
Step-by-step explanation:
Answer:
470 inches
Step-by-step explanation:
p = 2l + 2w
p = 2*145 + 2*90
p = 290 + 180
p = 470
Find the measure of
А
E
103°
270
50°
35°
D
B
C
Answer:B
Step-by-step explanation:
A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?
Answer:
141.3 km
Step-by-step explanation:
First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;
Second crater radius is C = 2(pi)(30 km) = 188.4 km
The circumference of the complex (larger) impact crater is
(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:
141.3 km
HELP ASAP! Find the area of the shaded region.
Answer:
73.4
Step-by-step explanation:
the answer is 73.3966
Marking brainliest
Please help
Answer:
The quantities that are needed would be;
a variable (y) representing the total cost that needs to be found out
a constant cost for per cupcake made (This would be 0.17)
a variable (x) representing the number of cupcakes made
any additional cost (This would be $75)
Hope this helps!
Noah says, "If I try to write 100 expanded, it should have zero factors that are 10, so it must be equal to 0." Do you agree? Why or why not?
Answer:
Disagree
Step-by-step explanation:
10^0
According to the laws of indices, anything raised to the power of 0 will equate to 1. Therefore, based on this established mathematical principle, Noah's assertion about 10^0 being equal to 0 is false.
Hence, I disagree.
5. A number or symbol multiplied with a variable
Answer:
Coefficient
Step-by-step explanation:
Simplify the algebraic expression:
7(x + 3)20
Answer:
140x+420
Step-by-step explanation:
7(x+3)20
=140x+420
Answer:
14x+420
Step-by-step explanation:
7(x+3)(20)
=140x+420
(-2-√3) (-2+√3) when simplified is
Answer:
=1
Step-by-step explanation:
(-2-√3)(-2+√3)
=-2(-2+√3)-√3(-2+√3)
=4-2√3+2√3-√9
=4-3
=1
does anybody know the answer to this?
Answer:
C (136)
Step-by-step explanation:
The triangle is only rotated, the measure of <D doesn't change