Answer:
1 & 4
Step-by-step explanation:
1. 110 – 16 = 10h
4. 110 = 16 + 10h
Four adults and three children go to a theatre for $74, whereas two adults and five children are charged $58. Find the price of an adult’s ticket and a child’s ticket.
Answer:
adult’s ticket = $14 || child’s ticket = $6
Step-by-step explanation:
Let adults ticket cost be a , children's ticket cost be c
4a + 3c = $74 ........from theory 1
2a + 5c = $58 ..........from theory 2
Making a the subject for both:
4a + 3c = $74
4a = 74 - 3c
a = ( 74 - 3c )/4 ........equation 1
2a + 5c = $58
2a = 58 - 5c
a = ( 58 - 5c )/2 ........equation 2
Solving simultaneously:
( 58 - 5c )/2 = ( 74 - 3c )/4
4( 58 - 5c ) = 2( 74 - 3c )
232 - 20c = 148 -6c
232 -148 = -6c + 20c
84 = 14c
c = $6
Each children's ticket cost is $6
Then the adults ticket cost: ( 74 - 3c )/4
: ( 74 - 3(6) )/4
: $14
The following table shows worldwide sales of a certain type of cell phone and their average selling prices in 2012 and 2013.
Year 2012 2013
Selling Price ($) 375 325
Sales (millions) 958 1,228
(a)
Use the data to obtain a linear demand function for this type of cell phone. (Let p be the price, and let q be the demand).
q(p) =
Use your demand equation to predict sales if the price is lowered to $275.
[. ] million phones
(b)
Fill in the blank.
For every $1 increase in price, sales of this type of cell phone decrease by [. ]
million units.
The demand equation illustrates how the price and the quantity of an item are related
The linear demand equation is: [tex]q = -5.4p + 2983[/tex]If the price is lowered to $275, the sales is 1498For every $1 increase in price, sales of this type of cell phone decrease (a) Obtain the linear demand equationFrom the question, we have the following ordered pairs
(x, y) = {(375,958) and (325,1228)
Start by calculating the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{1228 - 958}{325 - 375}[/tex]
[tex]m = \frac{270}{-50}[/tex]
[tex]m = -5.4[/tex]
The linear demand equation is then calculated as:
[tex]y =m(x - x_1) + y_1[/tex]
So, we have:
[tex]q = -5.4(p - 375) +958[/tex]
[tex]q = -5.4p + 2983[/tex]
When the price is $275, the sales is:
[tex]q = -5.4 * 275 + 2983[/tex]
[tex]q = 1498[/tex]
Interpret the demand equationThe demand equation means that:
For every $1 increase in price, sales of this type of cell phone decrease by $5.4
Read more about demand equations at:
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Here please helppppppppppppp
Answer:
Part 2 - ∠EGF = 105° Part 3 - ∠D = 65________________________________________________Step-by-step explanation for Part-2:
We know that:
∠EFG = 32°∠AEG = 137°∠EFG + ∠FGE + ∠GEF = 180°Work:
∠EFG + ∠FGE + ∠GEF = 180°32 + ∠FGE + (180 - 137) = 180°=> 32 + ∠FGE + 43 = 180°=> 75 + ∠FGE = 180°=> ∠FGE = 180 - 75=> ∠FGE = ∠EGF = 105°Hence, the measure of ∠EGF is 105°.
________________________________________________Step-by-step explanation for Part-3:
We know that:
CD = CAThis triangle is an isosceles triangle.∠D = ∠AWork:
50 + ∠D + ∠A = 180=> ∠D + ∠D = 130=> 2∠D = 130=> ∠D = 130/2=> ∠D = 65Hence, the measure of ∠D is 65°
________________________________________________The real roots of the equation x2 - 7x + 10 = 10 are?
[tex]\\ \tt\hookrightarrow x^2-7x+10=10[/tex]
[tex]\\ \tt\hookrightarrow x^2-7x=0[/tex]
[tex]\\ \tt\hookrightarrow x(x-7)=0[/tex]
[tex]\\ \tt\hookrightarrow x=(0,7)[/tex]
Roots are 0 and 7The resulting roots of the equation x2 - 7x + 10 = 10 is mathematically given as
x=0, x=7
Roots of Quadratic EquationQuestion Parameters:
The real roots of the equation x2 - 7x + 10 = 10
Generally the expression for the equation is mathematically given as
x^2 - 7x + 10 = 10
Therefore
x^2 - 7x =0
x(x-7)=0
Therefore
The resulting roots are
x=0
x=7
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Suppose the travel time between two major cities A and B by air is 6 or 7 hr if the flight is nonstop; however, if there is one stop, the travel time would be 9, 10, or 11 hr. A nonstop flight between A and B would cost $1200, whereas with one stop the cost is only $550. Then between cities B and C, all flights are nonstop requiring 2 or 3 hours at a cost of $300.
The sample space of his travel times from A to C to be [8,9,10,11,12,13,14] and the sample space of his travel cost from A to C to be [850,1500].
Required:
If T=travel time from city A to city C, and S=cost of travel from A to C, what is the sample space of T and S?
Using it's concept, it is found that the sample space of T and S is:
{{8, [850-1500]}, {9, [850-1500]}, {10, [850-1500]}, {11, [850-1500]}, {12, [850-1500]}, {13, [850-1500]}, {14, [850-1500]}}
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
The sample space of T is: [8,9,10,11,12,13,14]The sample space of S is: [850,1500].Considering that for each time, the cost will be between $850 and $1500, the sample space for T and S is:
{{8, [850-1500]}, {9, [850-1500]}, {10, [850-1500]}, {11, [850-1500]}, {12, [850-1500]}, {13, [850-1500]}, {14, [850-1500]}}
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this equation need help on
Why is the measure angle of y
Step-by-step explanation:
x + x + x = 90°
3x = 90°
x = 90/3 = 30
x = 30°
now,
apply angle sum property to find the value of y
as, x = 30
so,
30 + 90 + y = 180
120 + y = 180
y = 180 - 120 = 60
y = 60° ans.
therefore, option B is correct
hope this answer helps you!
which of the following is the best estimate for 24 9/20
Answer:
D
Step-by-step explanation:
Complete the sentence.
(22/7 - 2/3) divided by 2 is ______ the value of (22/7 - 2/3)
There were 25 runners competing in a race. The number of runners who finished ahead of Paula was one-third the number of runners who finished after her. In what place did Paula finish?
Answer:
7th Place
Step-by-step explanation:
Seeing as how the number of runners in front of Paula is [tex]\frac{1}{3}[/tex] the number of runners behind her,
Assign the number of people behind Paula to a variable:
# of people behind Paula = b, which means
# of people ahead of Paula = [tex]\frac{1}{3}[/tex] b
Use the variable to make an equation:
b (people behind Paula) + [tex]\frac{1}{3}[/tex] b (people ahead of Paula) + 1 (Paula) = 25
b + [tex]\frac{1}{3}[/tex] b + 1 = 25
Solve for b:
b + [tex]\frac{1}{3}[/tex] b + 1 = 25
b + [tex]\frac{1}{3}[/tex] b = 24
[tex]\frac{4}{3}[/tex] b = 24
b = 18
If there are 18 people behind Paula, there are [tex]\frac{1}{3}[/tex] * 18 people in front of her, which is 6; This puts Paula in 7th place.
1.
What is the area of this tile?
ina
6 in.
2 in.
Answer:u will kno3
Step-by-step explanation:6 in the side the top 2 the top
Answer:
12 inches squared
Step-by-step explanation:
Area is length, which in this case is 6 inches, by width, which in this case is 2 inches.
L times W = A
6 times 2 = 12
Which trigonometric ratios are correct for triangle DEF?
Select three options
sin(E) = 24/25
cos(D) = 7/25
tan(E) = 24/7
sin(D) = 7/25
tan(E) = 7/24
cos(E) = 24/25
Answer:
A, C, D
Step-by-step explanation:
Edge2022
Mark has invested in evu confectioners. he owns 220 shares of stock in evu confectioners, with each share costing him $14.79 apiece but paying a yearly dividend of $2.03. mark also owns three par value $500 bonds from evu confectioners, each of which had a market value of 93.630 and which pay 8.8% interest. if mark’s broker charges a commission of $55 per ten shares of stock bought or sold and a commission of 3% of the market value of each bond bought or sold, which aspect of mark’s investment in evu confectioners has the greater percent yield, and how much greater is it?
Based on the returns on both the stock and bonds, we can find that stocks have a greater percentage yield by 0.88%.
Return on Stock= Dividend on stock / ( Cost of stock + Commission) x 100%
Commission is:
= 55/ 10
= $5.50 per share
Return is therefore:
= 2.03/ (14.79 + 5.5) x 100%
= 10%
Return on Bonds= Interest earned / (Market value of bonds + Commission) x 100%
Interest earned:
= 8.8% x 500 x 3 bonds
= $132
Market value of bonds:
= 0.93630 x 500 x 3 bonds
= $1,404.45
Commission:
= 3% x 1,404.45
= $42.1335
Return on bonds is:
= 132 / (1,404.45 + 42.1335) x 100%
= 9.12%
Difference in return= 10% - 9.12
= 0.88%
In conclusion, stock has a higher yield by 0.88%.
What is the volume of a right circular cylinder with a radius of 3 in. and a height of 10 in.?
o 30pi in^3
o 60pi in^3
o 90pi in^3
o 120pi in^3
90pi cubic inches
Work Shown:
[tex]V = \pi*r^2*h\\\\V = \pi*3^2*10\\\\V = \pi*9*10\\\\V = \pi*90\\\\V = 90\pi\\\\[/tex]
This approximates to 90*3.14 = 282.6 cubic inches when using the approximation pi = 3.14
Use more decimal digits of pi to get a more accurate answer.
Someone, please help me! If you give it right, ill give you Brainiest.
If you don't know the answer, please don't comment.
Can you explain every step you have to do to solve √(24^2 + 12^2?)
Answer:
[tex] \sqrt{576 + 144} [/tex]
[tex] \sqrt{720} [/tex]
[tex] \sqrt{12^{2} } \times \sqrt{5} [/tex]
[tex]{12 \times \sqrt{5} } [/tex]
using the following triangle what is the sin X?
Answer:
21/29
Step-by-step explanation:
right angle box means that area is the bottom
soh cah toa
hypotenuse is 29
hypotenuse is usually the biggest number
opposite is 21
sin is opposite/ hypotenuse
sin is 21/29
In the expression 7 1/2 divided by 3/4, which number is the dividend?
Answer:
7 1/2
Step-by-step explanation:
The number that is being divided is the dividend
Write each decimal or fraction as a percent round to the nearest 10th of a part of a percent where necessary 0.72
Answer:
72%
Step-by-step explanation:
when they are nice decimals like that move the dot to the left 2 times
Find the surface area and volume of the prism.
Answer:
Volume = 840 cm cubed
Step-by-step explanation:
area of cross section * length
(5*12) / 2 = 30
30 * 28 = 840cm cubed
Solve using pythagorean theorum! problem is in picture!
Answer: the answer x=11 or 10
Step-by-step explanation:
Answer:
x=8 cm
Step-by-step explanation:
100 = 36 + x^2
x^2 = 64
= 8 cm
which of these is a solution to the equation 1/8=2/5times x
Answer:
Y=0.3125
Step-by-step explanation:
1/8=2/5Y
multiplying both side by 5/2
5/2x1/8=2/5Yx5/2
Y=5/16
Y=0.3125
8
Select the correct answer.
Which would you use to estimate the demand for a product at various prices?
O A
a demand table
B.
a demand chart
Ос.
a demand schedule
Answer:you would use a demand chart
Step-by-step explanation:
Answer:
C. A demand schedule.
Step-by-step explanation:
The demand curve is a visual representation of how many units of a good or service will be bought at each possible price. It plots the relationship between quantity and price that's been calculated on the demand schedule, which is a table that shows exactly how many units of a good or service will be purchased at various prices.
As you can see in the chart below, the price is on the vertical (y) axis, and the quantity is on the horizontal (x) axis. This chart plots the conventional relationship between price and quantity. The lower the price, the higher the quantity demanded. As the price decreases from p0 to p1, the quantity increases from q0 to q1.
Key words and Phrases:
quantity, price, demand, good, service, demand curve, demand schedule
Want to learn more about demand schedules?
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QUESTION ON PIC BRAINLIEST THANK YOU!
Answer:
1, 3, 9, 27
Step-by-step explanation:
1 times 27 = 27
3 times 9 = 27
9 times 3 = 27
27 times 1 = 27
hope this helps!!!
Answer:
1, 3, 9, 27
Step-by-step explanation:
27 = 3³
The factors of 27 are:
1, 3, 9, 27
Roberto is buying 3 shirts that cost $9.75 each. There is a 5.5% sales tax.
What is the total Roberto will pay for the shirts?
Enter your answer in the box.
$
Answer:
The answer is 30.86
Step-by-step explanation:
Answer:
30.86
Step-by-step explanation:
Why root 3 is irrational
Given:To find: is an irrational number. Solution: (Were p and q is a co-prime)Squaring both the side in above equationif 3 is a factor of Then, 3 will also be a factor of p {where m is a integer}Squaring both sides we getSubstitute the value of in the equation If 3 is a factor of Then, 3 will also be factor of qHence, 3 is a factor of p & q bothSo, our assumption that p & q are co-prime is wrong.So, is an "irrational number". Hence proved.
Answer:
irrational because the square root of a non-perfect square results in a non-repeating, non-terminating decimal which is what irrational numbers are described as
Step-by-step explanation:
Write an equivalent ratio for 7:8 with 40 as one of the terms.
Answer:
Step-by-step explanation:
Five equivalent ratios:
7:8 = 14:16
= 21:24
= 70:80
= 49:56
= 35:40
-8-8x^2=-31
how to solve for x
Answer:
x = ± [tex]\sqrt{\frac{23}{2\sqrt{2}}}[/tex]
Step-by-step explanation:
-8 - 8x^2= -31
Since this is a quadratic, it needs to be factored.
First, move the x to the other side:
-8 = 8x^2 - 31
Then, get the x alone by first adding 31:
23 = 8x^2
then dividing by 8:
x^2 = 23/8
Finally, square root both sides and remember the even roots property:
x = ± [tex]\sqrt{\frac{23}{8}}[/tex]
and simplify the root 8:
x = ± [tex]\sqrt{\frac{23}{2\sqrt{2}}}[/tex]
Note: This answer may have a mistake.
x3+y3+z3=k
plz answer it i will need it
Answer:
42
Step-by-step explanation:
My teacher has asked the class this one before and after a lot of time not knowing she just told us k=42 XD
Answer:
x=1/3k-y-z
Step-by-step explanation:
this is the answer used solved this problem before
what is the least common multiple of 6, 12, and 14?
Answer:
84
Step-by-step explanation:
2x2x3x7=84
Help math math math math
Answer:
2) Vertical scale does not begin with zero
