Answer:
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 600 (1)
8x + 15y = 5,500 (2)
From (2)
x = 600 - y
Substitute x = 600 - y into (2)
8x + 15y = 5,500 (2)
8(600 - y) + 15y = 5,500
4,800 - 8y + 15y = 5,500
- 8y + 15y = 5,500 - 4,800
7y = 700
y = 700/7
y = 100
Substitute y = 100 into (1)
x + y = 600 (1)
x + 100 = 600
x = 600 - 100
x = 500
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
Please help with this, will give brainliest.
Explanation:
The negative exponent means we apply the reciprocal to get the exponent to be positive.
The rule is (a/b)^(-c) = (b/a)^c
That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.
Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.
Answer:
B
Step-by-step explanation:
1/1 ÷ (1/4)³ = 1 x 4³ = 64
if the simple interest eamed on $8000 for 9 years is $2,160. Then what is the interest rate?
Answer:
3%
Step-by-step explanation:
2160/9 years =240/year
240/8000=3%
whats the correct equation to solve for x
Answer:
12x - 29 + 4x + 1 = 180
Step-by-step explanation:
(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then
12x - 29 + 4x + 1 = 180 ← is the equation to solve for x
16x - 28 = 180 ( add 28 to both sides )
16x = 208 ( divide both sides by 16 )
x = 13
1. Factory in Wichita
The cost per unit for Wichita’s factory is graphed as a piecewise function over the domain [0, 35000]. a. Write one or two sentences to describe the cost function for the Wichita factory. (5 points) b. Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function (), where is the number of units produced. (10 points) c. What is the cost per unit for 35,000 units? (5 points) d. According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem? (5 points) e. Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory. (10 points) ___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___Overtime wages were required to produce at levels above 25,000 units.
2. Factory in Seattle Seattle’s factory is the company’s newest. It was constructed with sustainable building techniques and materials, so its cost structure has been affected in several ways. The Seattle plant uses a mix of solar power (not very reliable with so many clouds), thermal power, and wind. It has an array of batteries, so at the beginning of each production day, there is “free” stored energy that can produce up to 8,000 units. Of course, energy is just one factor of the cost of production, but it is significant.
The cost function for the Seattle factory is given by the following piecewise function. That is, ()is the cost function, where is the number of units produced. The plant’s maximum capacity is 42,000 units
per day.
() = { 0.35 ≤ 8,000
0.75 8,000 < ≤ 20,000
0.83 − ( 200,000) 20,000 < ≤ 42,000
a. Sketch a graph to model Seattle’s cost structure over the domain [0, 42000]. Be sure to label the axes and any endpoints where the graph breaks. (5 points)
b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)
3. Factory in Omaha Omaha’s factory has yet another type of cost structure. Its cost function is provided graphically. Its maximum capacity is 38,000 units per day.
a. At what rate is the cost per unit decreasing for production levels above 12,000?(5 points) b. State the function for the domain over [12000, 38000]. (10 points)
c. What is the cost per unit at the production level of 19,000? (5 points)
Omaha’s city council approved a special growth incentive that decreases the company’s tax burden for production levels above last year’s average. Explain how this is reflected by the Cost Function for Omaha’s factory. 4. Analysis and Making Production Decisions You have now provided your company’s management with powerful tools that model the cost of
Answer:
According to the graph, if only one unit was produced, the cost per unit would be $1.00. In reality, the company would not call in its worker and start up the equipment to produce one unit. What safeguard do you think that many manufacturers use to avoid this type of problem?
The per-unit cost will be as follows,
a) Wichita factory has cost function as more up to 25000 units and less for above 25000 units.
b) Piece wise function for cost per units for production of units can be written as
C(x) = cost per unit, will be as follows,
C(x)=1÷x,0 [tex]\leq[/tex] x [tex]\leq[/tex] 25000,
=0.8÷x, 25000 [tex]\leq[/tex] x [tex]\leq[/tex] 35000,
C) cost per unit for 35000 unit
=C(35000)= 0.8÷35000
= 2.28(10⁻⁵)
What is the cost per unit?Cost per unit is referred to the cost of goods sold or the cost of sales, is how much money a company spends on producing one unit of the product they sell.
Thus, the cost per unit will be 2.28(10⁻⁵).
Learn more about cost per unit here,
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I dont get this. please help
Answer:
Step-by-step explanation:
All of these are done exactly the same way so I will work out one of them for you, and you can follow my example to get the answers to the rest of them. I will do #5. The formula for this is
7(7 + x) = 8(8 + 13) and then solve the equation to find x:
49 + 7x = 168 and
7x = 119 so
x = 17.
Follow that pattern for each of your problems and you should be fine.
pls help! its due today i would mark u brainliest! but pls it's an emergency do both problems!
Answer:
Step-by-step explanation:
The coordinate is (x,-y)
Help pleasee MARKED BRAILIEST!!!
Answer:
10 dance classes
Step-by-step explanation:
The last option is the correct answer.
( A student needs to take 10 dance classes to learn the routine. )
answer pls with a detailed explanation
Answer:
SA = 225 cm²
Step-by-step explanation:
The given pyramid dimensions are;
The length of the rectangular base of the pyramid, l = 12 cm
The width of the base, w = 6 cm
The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²
The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm
The base length of the above triangle, b₁ = 12 cm
The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²
The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm
The base length of the above triangle, b₂ = 6 cm
The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²
The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂
Therefore;
SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²
SA = 225 cm²
Can you find the
triangle's perimeter
I’m marking branliest
Answer:
The perimeter would be 6x + 12
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides.
The measures of the sides of the given triangle are:-
3x + 2, x + 6 and 2x + 4
So, to find perimeter add these values together:-
3x + 2 + x + 6 + 2x + 4
Bring all the 'x' terms together first and then the other numbers so we can add them:-
3x + 2x + x + 2 + 6 + 4
6x + 12
The perimeter of the triangle would be 6x + 12AB = [tex]x[/tex] + 6
BC = 2 [tex]x[/tex] + 4
AC = 3 [tex]x[/tex] + 2
To find:-The perimeter of the triangle.
Solution:-[tex]{\boxed{\mathcal{\red{The\: perimeter \:of\:the\:triangle\:is\: 6x\:+\:12.\:✅}}}}[/tex]
Step-by-step explanation:-We know that,
[tex]\sf\pink{Perimeter\:of\:a\:triangle\:=\:Sum\: of\: all \:three\: sides}[/tex]
[tex] = AB + BC + AC \\ = x + 6 + 2x + 4 + 3x + 2 \\ = 6x + 12[/tex]
[tex]\sf\red{Therefore, \:the\: perimeter\:of \:the\:triangle\: is \:6x\:+\:12.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
Find the arc length of the semicircle
Answer:
Arc length of the semicircle is 12.57 cm.
Step-by-step explanation:
From the given picture,
Measure of diameter = 8 units
Radius of the semicircle = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 units
Since, circumference of a semicircle is given by the expression,
C = πr
Here, r = radius of the semicircle
Circumference of the given semicircle = π(4)
= 4π
= 12.57 cm
Therefore, arc length of the semicircle is 12.57 cm.
Answer:
Its 16 pi
Step-by-step explanation:
The length of a cuboid is thrice the breadth and twice the length.if the volume of a box is 750 cm3 then find the measure of the box.
Step-by-step explanation:
Let b is breadth and l is length of the cuboid such that,
Length, l = 3b and l = 2h
or
h = l/2
We know that, the volume of a cuboid box is given by :
V = lbh
Put all the values,
[tex]V=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750=l\times \dfrac{l}{3}\times \dfrac{l}{2}\\\\750\times 6=l^3\\\\l=(750\times 6)^{1/3}\\\\l=16.5\ cm[/tex]
Breadth, b = 16.5/3 = 5.5 cm
Height, h = 16.5/2 = 8.25 cm
Hence, this is the required solution.
hi! i’ll give brainliest please help
Answer:
deposition of eroded materials
Step-by-step explanation:
Answer:
now that i have the answer button the answer is B im not copying the other guys answer i have answered first in the ch-at so please don't come at me lol
Step-by-step explanation:
Please help me I have no idea how to solve!
Polynomial puzzle
Fill in the blank to complete the polynomial puzzle. Remember to ADD across to the right and ADD down to the bottom.
Step-by-step explanation:
It says add across to the right and add down bottom
Add across
[tex]3x[/tex] [tex]2x^2[/tex] [tex]3x +2x^2[/tex]
[tex]x^2[/tex] [tex]5x[/tex] [tex]x^2 + 5x[/tex]
Add down [tex]3x + x^2[/tex] [tex]2x^2 +5x[/tex] [tex]3x^2 +8x[/tex]
Which symbol correctly compares the two angle measures?
radians
60°
A. =
B. <
C. >
Answer:
Is B
Step-by-step explanation:
PLEAEE NEED HELP!!
Find the area of the shaded region in the regular polygon with AB = 5.5 ft.
Answer:
88 ft^2
Step-by-step explanation:
please find attached the diagram used in answering this question
Area of shaded region = area of regular polygon - area of triangle
area of regular polygon = 1/2 x height x perimeter of the polygon
perimeter of the polygon = number of sides x length of side
5 x 8 = 40
1/2 x 40 x 5.5 = 110 ft²
Area of a triangle = 1/2 x ( base x height)
1/2 x 5.5 x 8 = 22 ft²
Shaded portion = 110 - 22 = 88 ft²
2.2 × 1019) + (1.5 × 1016)
Answer:
Use calculator it's easy ....
Answer :
3765.8
Answer:
[tex](2.2 \times 1019) + (1.5 \times 1016) \\ = 2241.8 + 1524 \\ = 3765.8[/tex]
pupils are required to spend 3/8 of the day at school and 2/3 of that time in class. How much time do they spend doing Mathematics? Give your answer in minutes.
Answer:
[tex]Time \ in\ school = \frac{3}{8} \ of \ the \ day[/tex]
= [tex]\frac{3}{8} \times 24 = 9 \ hours \ in \ school[/tex]
[tex]Time \ in \ class = \frac{2}{3} \ of \ the \ time \ in \ school = \frac{2}{3} \times 9 = 6 \ hours \ in \ class[/tex]
1 hour = 60 minutes
Therefore, 6 hours = 360 minutes
So , 360 minutes they spent doing mathematics.
in a hostel 50 students have food enough for 32 days. how many students should be leave the hostel so that the food is enough for 14 days.
Answer:
22 days
Step-by-step explanation:
Given data
Number of students= 50
Number of days= 32days
We want to find the number of students that can have food for 14days
If 50 students will have food for 32 days
x students will have food for 14 days
cross multiply
32*x= 14*50
32x= 700
x= 700/32
x=21.8
Hence 14 students will have for 22 days
Which type of line of symmetry does the figure have?
Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft
Answer:
195 answer.plus minus plus minus plus minus
PLEASE HELP
7) What are examples of a polyhedron? Check ALL that apply. *
cylinders
triangular prisms
spheres
rectangular prisms
square prisms
cubes
cones
PLEASE HELP ME ASAP In the equation Log2x = y, which of the following CANNOT be true?
O y is negative
O y is positive
x is negative
O x is positive
Answer:
option : x is positive
Step-by-step explanation:
[tex]log_2 x = y => x = 2^y[/tex]
Therefore, x is always positive
two rational numbers between 2/3 and 5/3
Answer:
1.333333333333 or 4/3
What is the value of u?
u+40°
U-19°
U=
Answer:
u = 59
Step-by-step explanation:
The sum of the exterior angle is equal to the sum of the opposite interior angles
u+ u-19 = u+40
2u -19 = u+40
Subtract u from each side
2u-19-u = u+40-u
u-19 = 40
Add 19 to each side
u+19-19 =40+19
u = 59
help help i need help with my math
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
48-[(2^2+3)x5]
48-[(4+3)x5]
48-[(7)x5]
48-[35]
13
2. What is the area of this triangle?
8
4
Answer:
area of triangle=base*height/2
4*5/2
=20/2
=10
Step-by-step explanation:
123
30°
у
Find the values of x and y. Write your answers in simplest form.
x =
y=
Answer:
[tex]y=6\sqrt{3}[/tex]
[tex]x=18[/tex]
Step-by-step explanation:
[tex]Sin30=\frac{9}{12\sqrt{3} }[/tex]
[tex]1/2=y/12\sqrt{3}[/tex]
[tex]y=6\sqrt{3}[/tex]
[tex]tan30=y/x[/tex]
[tex]x=y/tan30=x=\frac{6\sqrt{3} }{1/\sqrt{3} }[/tex]
[tex]x=18[/tex]
------------------------
hope it helps...
have a great day!
A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?
The difference between two positive numbers is 5 and the square of their sum is 169. find the two numbers.
Answer:
The two number are 9 and 13
Step-by-step explanation:
9-4=5
9+4=13 and 13*13is 169
please help (Determine the slope of the line. Show the work you did to find the slope.)
10 POINTS!
Answer:
slope of line is 3/5
Step-by-step explanation:
slope is the ratio of the change in the y-values over the change in the x-values
in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5
if you go from pt B to pt C, you rise by 6 and go to the right by 10
however, 6/10 can be reduced to 3/5
if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)
change in y-values is 5-2 or 3
change in x-values is 5-0 or 5
(5-2)/(5-0) = 3/5