Jade can buy a maximum of 6 magazines or 2 pies with her $24 weekly budget. The slope of her budget constraint is -2, representing the trade-off between pies and magazines. The opportunity cost of purchasing a pie is 3 magazines.
Jade has a weekly budget of $24, which she allocates between magazines and pies. Let's address the questions one by one:
Magazines: If the price of a magazine is $4 each, Jade can buy 6 magazines in a week since $24 divided by $4 equals 6.Pies: If the price of a pie is $12, Jade can purchase 2 pies in a week, as $24 divided by $12 equals 2.Budget constraint: On a graph with pies on the horizontal axis and magazines on the vertical axis, Jade's budget constraint would be a straight line starting at 6 magazines (if she buys 0 pies) and ending at 2 pies (if she buys 0 magazines). The slope of this budget constraint is -2 (the price of a pie divided by the price of a magazine).Opportunity cost: The opportunity cost of purchasing one pie is the number of magazines she has to give up, which is 3 magazines ($12/$4).HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.
Step-by-step explanation:
Step 1: Additive inverse
Step 2: Additive identity
Step 3: Addition property of equality
22 is D
Answer:
21)
step 1 = Additive inverse Step 2 = Additive identityStep 3 = Addition property of equality22)
D) h > 48~batmans wife dun dun dun....
Multiple Choice | Apex | Pre-Cal
what is the maximum number of possible solutions for the system shown below?
3x^2+y^2=64
x^2+y=10
A. 1
B. 2
C. 3
D. 4
The answer is D. because when you solve the equation by combining expressions and isolating the variable, both equations have 2 solutions-
Answer:
D
Step-by-step explanation:
A bag contains five white marbles and five black marbles. What is the probability of drawing a WHITE marble, NOT replacing it, and then drawing another WHITE marble?
The probability is 1:2
Answer:
4/18
Step-by-step explanation:
You have 5 WHITE marbles and 5 Black marbles.
The probability of drawing a WHITE marble is 5/10 or 1/2
And the probability of drawing the second (marble another WHITE marble) is 4/9
So 1/2 x 4/9 = 4/18 or 5/10 x 4/9 = 20/90 / 5 = 4/18
Therefore the probability of drawing a WHITE marble not replacing it then drawing another WHITE marble is 4/18
the population of Linton is 12 times as great as the population of Ellmore. the combined population of both towns is 9,646 people. what is the population of Linton?
Answer:
8904
Step-y-step explanation:
Answer:
The population of Linton is 8,904.
Step-by-step explanation:
To start out, they give you a ratio of 12:1, adding all the parts to get a whole would make this ratio 13:1.
Now, since the whole is 13, this means that 13 = 9,646 people.
Next we want to divide 9,646 by 13, this gives us 742.
X = 742
12x = 12 * 742 = 8,904
Which of the following situations can be defined using an exponential function?
A)The value of the stocks decreased by $100 last year.
B)The number of bacteria increases by 700 each hours.
C)The value of the stocks increases by $10 every year you own them.
D)The number of bacteria decreases by 7% each hour.
Answer:
D) The number of bacteria decreases by 7% each hour.
Step-by-step explanation:
Exponential functions describe situations where values do not increase at a linear or constant rate. Adding or subtracting every year or hour will result in a linear function, so A, B, and C are incorrect.
Option (D) The number of bacteria decreases by 7% each hour is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]
where 'a' is a constant and a>1
As we know, the exponential function increases rapidly according to the exponent.
It is not a linear function, and it never gives a negative value if the value of a>0
As the no other information was given.
Thus, option (D) The number of bacteria decreases by 7% each hour is correct.
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Chris is checking to determine if the expressions 2(x+3) and 2 x+4+2x are equivalent. When x=1 , he correctly finds both expressions have a value of 8. When x=2, he correctly evaluates the first expression to find that 2(x+3)=10
Final answer:
The expressions 2(x+3) and 2x+4+2x are not equivalent.
Explanation:
To determine if the expressions 2(x+3) and 2x+4+2x are equivalent, we can simplify them and compare the results. Let's simplify each expression when x=1:
2(x+3) = 2(1+3) = 2(4) = 8
2x+4+2x = 2(1)+4+2(1) = 2+4+2 = 8
Both expressions evaluate to 8 when x=1, so they are equivalent. Now, let's evaluate the first expression when x=2:
2(x+3) = 2(2+3) = 2(5) = 10
The first expression evaluates to 10 when x=2, which is different from the value of 8 obtained from the second expression. Therefore, the expressions 2(x+3) and 2x+4+2x are not equivalent.
A storage room measuress 48 inches by 60 inches. What is the total area, in square feet, of the closet?
Multiply the two numbers.
48*60=2880 inches
I think this is the way to answer this question.
Can someone please help with 2a, 2b, 2c, 2d, and 2e
Answer:
2a. If chagalti is being served, then you will have to use a tsibue.
2b. If you are using a tsibue, then chagalti is being served.
2c. If chagalti is not being served, then you dont have to use a tsibue.
2d. If you dont have to use a tsibue, then chagalti isnt being served.
2e. The converse must also be true because if you have to use a tsibue while eating chagalti, then when you arent eating chagalti, you dont need to use a tsibue.
Hope this helps!
Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet. If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?
Answer:
The answer is 21 square feet of plywood.
Step-by-step explanation:
Answer:
Trenton needs 21 square feet of plywood to cover all the surface of the ramp.Step-by-step explanation:
Givens
Base is 2 feet long.Height is 1.5 feet long.Length is 3 feet long.The riding surface is 2.5 feet long.Notice that the ramp is formed by two triangles and three rectangles.
Each triangle has a base of 2 feet and a height of 1.5 feet. So, the area of each triangle is
[tex]A_{triangle}=\frac{bh}{2}=\frac{2(1.5)}{2}=1.5ft^{2}[/tex]
The base of the ramp has dimensions of 3 feet x 2 feet. Its are is
[tex]A_{base}=3(2)=6ft^{2}[/tex]
The back of the ram has an area of
[tex]A_{back}=1.5(3)=4.5 ft^{2}[/tex]
The riding surface is
[tex]A_{riding}=3(2.5)= 7.5ft^{2}[/tex]
So, basically, to know the total surface, we just have to sum the are of both triangles, and the area of all three rectangles, as follows
[tex]S=1.5+1.5+6+4.5+7.5=21ft^{2}[/tex]
This means that Trenton needs 21 square feet of plywood to cover all the surface of the ramp.
Please help this is confusing!!!!!
Do 5^2 first
25+ 7*3+4
Multiply 7*3=21
25+21+4
= 46+4
= 50
Answer:50 ( the second choice)
Answer:
Step-by-step explanation:
use BIDMAS to answer
5 squared is 25
7 x 3 = 21
25 + 21 + 4 = 50
your welcome
In the equation 4x+5y=20 what is the y value that solves the equation when x=5? Show your work
Answer:
4(5)+5y=20 20+5y=20 then subtract the 20 with other 20= 0
5y/5=0/5 y=0
Step-by-step explanation:
ANSWER
y=0
EXPLANATION
The given equation is
4x+5y=20
We want to find the y value that solves the equation when x=5.
We substitute x=5 into the given equation and solve for y.
4(5)+5y=20
20+5y=20
5y=20-20
5y=0
y=0
(2x+5y-z)+(-6x-4y+7z)
Answer:
-4x + y + 6z
Step-by-step explanation:
2x + 5y - z + (-6x - 4y + 7z) < distribute positive 1 to (-6x - 4y + 7z)
2x + 5y - z - 6x - 4y + 7z < combine like terms to get the answer
2x - 6x = -4x
5y - 4y = y
-z + 7z = 6z
our new expression is:
-4x + y + 6z we cannot simplify this any further, so this is our answer
Which of the following equations fits this graph?
A. down
The -4 moves the y-intercept down from the origin to -4
Answer: Option A.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where the slope is "m" and the intersection of the line with the y-axis is "b".
Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:
[tex]m=1\\b=0[/tex]
This means that the line passes through the origin (0,0)
And from the function g(x) in the form [tex]g(x)=x-4[/tex], , you can identify that:
[tex]m=1\\b=-4[/tex]
This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-4)
Therefore, the graph of f(x) must be shifted 4 units down to produce the graph of g(x)
PLEASE HELP ME!!!!!!!!!!!!!!!!
A. 6y^2 - 13y + 6
Use the FOIL method of multiplying binomials.
First monomial in each binomial: 2y * 3y = 6y^2
Outside monomials: 2y * -2 = -4y
Inside monomials: -3 * 3y = -9y
Last monomial in each binomial: -3 * -2 = 6
Finally, add everything together. 6y^2 - 4y - 9y + 6
Simplify to 6y^2 - 13y + 6
Answer:
A
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
(2y - 3)(3y - 2)
= 2y(3y - 2) - 3(3y - 2) ← distribute both parenthesis
= 6y² - 4y - 9y + 6 ← collect like terms
= 6y² - 13y + 6 → A
Which number line represents the solution set for the inWhich number line represents the solution set for the inequality –x ≥ 4?equality –x ≥ 4?
Final answer:
The solution set for the inequality –x ≥ 4 is x ≤ – 4, which includes all numbers less than or equal to – 4. This would be represented on a number line with a solid dot at – 4 and shading to the left.
Explanation:
The question pertains to solving the inequality –x ≥ 4 and representing the solution on a number line. To solve for x, we first multiply both sides by – 1, remembering to reverse the inequality sign since multiplying or dividing by a negative number reverses the inequality:
–x ≥ 4
( – 1)( –x) ≤ ( – 1)(4)
x ≤ – 4
This means that x is less than or equal to – 4. On the number line, the solution set for x includes all numbers to the left of – 4, including – 4 itself. To represent this graphically, one would draw a solid dot at – 4 and shade all the region to the left of – 4, indicating all those numbers are included in the solution set.
so yeah. . .. idk how to do this
Please use for reference. Merci.
To find rate of change simply divide y/x.
hour 2: 56/2=28
hour 4: 125/4~about 31.3 or 31
hour 5: 164/5=32.8 or ~ 33
hour 8: 271/8 ~ about 34 or 33.875
hour 13: 404/13 ~ about 31 or 31.0769231
What numbers are the largest?
hours 5 and 8
Thus, the correct answer was option C.
How does a natural monopoly function?
A: imperfect competition makes it difficult for firms to do business.
B: a few firms are in perfect competition.
C: the government supplies all buyers with the product
D: a single firm supplies all the output.
Answer:
D: a single firm supplies all the output.
Step-by-step explanation:
A natural monopoly runs most efficiently when one large firm supplies all of the output.
A natural monopoly occurs when the most efficient number of firms in the industry is one. As the name suggests, monopoly means single. We can also say that it is a market structure characterized by a single seller, selling a unique product in the market.
A natural monopoly functions by having a single firm supply all output in a specific market, typically due to economies of scale. This usually occurs in markets where having multiple firms would be inefficient and costly, such as utilities. Government usually regulates these to protect consumers.
Explanation:A natural monopoly functions in a manner where a single firm supplies all the output in a particular market. This is typically because this single firm can produce the total output in the market at a lower cost compared to several firms due to economies of scale. For example, in the utilities industry (like water or electricity), it would be highly inefficient and costly to have multiple firms deliver these services. Therefore, a single firm, or a 'natural monopoly', can provide these services at a lower cost.
The government often regulates natural monopolies to prevent abuse of monopoly power. This is done to ensure fair prices and adequate supply to consumers.
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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
Solving the equation
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Answer:
A and C
Step-by-step explanation:
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill. I did the test and got 100 percent
there are 2 green marble, 4 blue marbles, 1 red marble, and 8 yellow marbles in a bag. once a marble is drawn, it is not replaced. find the probability of the outcome.
1. two yellow marbles in a row
2. a blue marble then a green marble
Answer:
1.
Step-by-step explanation:
1. There will be 4 rows of 2 because 8 divided by 2 is 4
2. 1 blue, 1 green, 1 blue, 1 green, 1 blue, 1 blue
This problem is not true, because to make it a pattern it would have to be 2 green marbles and 3 blue marbles.
Hope this helps
Please tell me if I got anything wrong.
Answer:
4/105
Step-by-step explanation:
just took the test
PLEASE last one to graduate!!
Answer:
[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]
Step-by-step explanation:
The graph of the cosine function can be obtained by shifting the sine function to the left by [tex]\frac{\pi}{2}[/tex] units.
The given cosine function is:
[tex]y=4\cos(\frac{3}{2}x+\frac{\pi}{6})[/tex]
When we shift this function to the left by [tex]\frac{\pi}{2}[/tex] units, we obtain a sine function
[tex]y=4\sin(\frac{3}{2}x+\frac{\pi}{6}+\frac{\pi}{2})[/tex]
[tex]y=4\sin(\frac{3}{2}x+\frac{2\pi}{3})[/tex]
These two functions have the same graph
The second option is correct.
PLEASE HELP!
What is AD?
A. 15
B. 12
C. 3
D. 20
Answer:
A. 15
Step-by-step explanation:
To solve this you need to compare the lengths given to you in the question statement.
Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?
Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.
They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.
So, A F = 16, A E = 20 (16 + 4), A G = 12.
Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:
[tex]\frac{A D}{A G} = \frac{A E}{A F}[/tex]
So, A D = (A G * A E)/A F
A D = (12 * 20) / 16 = 15
Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below.
SA = 2 [(5)(7)] + 2 [(6)(7)] + 2 {tex]\frac{1}{2}[/tex(5)(9.3)] + 2 [[tex]\frac{1}{2}[/tex(6)(9.2)] = 255.7
Answer:
The surface area of the composite figure is [tex]285.7\ units^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the composite figure is equal to the lateral area of the rectangular prism plus the area of the base of rectangular prism plus the lateral area of the pyramid
[tex]SA=2(5+6)(7)+(5)(6)+2[\frac{1}{2}(6)(9.2)] +2[\frac{1}{2}(5)(9.3)]\\ \\SA=154+30+55.2+46.5\\ \\SA=285.7\ units^{2}[/tex]
Karla in her work does not consider the area of the base of the rectangular prism.
Answer:
B-She left out one of faces of the solid. She should have simplified
Step-by-step explanation:
the dude before me is wrong i got 100%
help a brother out find me on ticktock and gramy - yrkjncl
match them together to correct answer
ANSWER
Frequency=2
Midline =3
Amplitude =5
Period =π
EXPLANATION
We have:
[tex]f(x) = 5 \cos(x) + 3[/tex]
The given function is of the form;
[tex]f(x) = a\cos(bx) + c[/tex]
where
a=|5| =5 is the amplitude
and b=2 is the frequency.
and 2π/b=2π/2=π
The range of the given function is
8≤y≤-2
The midline is
[tex] \frac{8 + - 2}{2} = \frac{6}{2} = 3[/tex]
Answer:
1. y = 3 - b. Midline
2. 2 - a. Frequency
3. 5 - c. Amplitude
4. π - d. Period
Step-by-step explanation:
We know that the standard cosine equation is in the form:
[tex] f(x) = a\cos(bx)+c [/tex]
where [tex] a [/tex] = amplitude,
[tex] b [/tex] = frequency,
[tex] c [/tex] = midline.
Therefore, for the given cosine equation:
Amplitude = 5,
Frequency = 2,
Midline = y = 3
Period = π
Camp Ground A has an area of 300 square yards with a maximum capacity of 25 pup tents. Camp Ground B has an area of 480 square yards and requires that each of its pup tents occupies the same area as each pup tent in Camp Ground A. What is the maximum number of pup tents that can occupy Camp Ground B? In two or more sentences, explain your calculations and conclusions.
Answer:
40 pup tents
Step-by-step explanation:
Since Ground A has area 300 and maximum capacity is 25 tents, so each tent would take up area of 300/25 = 12 sq yards.
Since Ground B's tents should occupy same area as Ground A's tents (12 sq. yards), the maximum capacity of this tent (480 sq yd) would be:
480/12 = 40 pup tents
This is the maximum capacity.
Solve the following equation. Then place the correct number in the box provided. 5x/8 +10= 2
Answer: [tex]x=-12.8[/tex]
Step-by-step explanation:
Given the equation [tex]\frac{5x}{8}+10=2[/tex], you need to solve for "x":
Apply the Subtraction property of equality and subtract 10 from both sides of the equation:
[tex]\frac{5x}{8}+10-10=2-10[/tex]
[tex]\frac{5x}{8}=-8[/tex]
Apply the Multiplication property of equality and multiply both sides of the equation by 8:
[tex](\frac{5x}{8})(8)=-8(8)[/tex]
[tex]5x=-64[/tex]
Apply the Division property of equality and divide both sides of the equation by 5:
[tex]\frac{5x}{5}=\frac{-64}{5}[/tex]
[tex]x=-12.8[/tex]
A, B and C are the vertices of a triangle.
A has coordinates (4, 6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
Prove that DE is parallel to BC.
You must show each stage of your working.
Answer:
Step-by-step explanation:
2/4=0.5
BC gradient is 2
AB (3,2)
AC (1,1)
DE gradient is 1/2=0.5
same gradients
parallel line have the same gradients
DE=0.5
BC=0.5
D has coordinate (3,2) and E has coordinate (1,1)
Gradient of DE = (2 - 1)/(3 - 1) = 0.5
Gradient of BC = (-2 - -4)/(3 - 1) = 0.5
BC and DE have the same gradient so they are parallel.
To prove that DE is parallel to BC, we need to show that their slopes are equal. Let's start with finding the midpoints D and E:
Midpoint D: The coordinates of D are the averages of the coordinates of A and B.A = (4, 6)B = (2, -2)D = ((4+2)/2 , (6+(-2))/2) => (3, 2)Midpoint E: The coordinates of E are the averages of the coordinates of A and C.A = (4, 6)C = (-2, -4)E = ( ( 4 + (-2) )/2 = ( 6 + (-4) ) /2) = (1, 1)Step-by-step explanation:Slope of BC: The slope of line BC is calculated as follows:(y2 - y1) / (x2 - x1) = (-4 - (-2)) / (-2 - 2) = (-4 + 2) / (-4) = -2 / -4 = 1/2Slope of DE: The slope of line DE is calculated as follows:(y2 - y1) / (x2 - x1) = (1 - 2) / (1 - 3) = (-1) / (-2) = 1/2Since the slope of DE is equal to the slope of BC (both are 1/2), we can conclude that DE is parallel to BC.if the tax rate is 6% ,find the tax on a 429.95 television to the nearest cent
Answer:
25.80
Step-by-step explanation:
The tax is equal to the original price times the tax rate
tax = 429.95 * 6%
Change to decimal form
429.95 *.06
25.797
Rounding to the nearest cent
25.80
The tax is 25.80
what does it mean when the correlation coefficient has a positive value?
Answer:
A
Step-by-step explanation:
means that as the value of one variable increases, the value of the other variable increases; as one decreases the other decreases.
if f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?
A: 3x-6/x
B: 6x-6/x
C: 2x+4/2x+7
D: 4x-3/x
Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
A region with a 7-mile radius has a population density of about 2200 people per square mile. Find the number of people who live in the region to the nearest ten thousand.
Answer:
[tex]340,000\ people[/tex]
Step-by-step explanation:
step 1
Find the area of the circular region
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=7\ mi[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(7)^{2}[/tex]
[tex]A=153.86\ mi^{2}[/tex]
step 2
Find the number of people who live in the region
Multiply the area by the density
so
[tex]A=153.86*(2,200)=338,492\ people[/tex]
Round to the nearest ten thousand
[tex]338,492=340,000\ people[/tex]
The number of people who live in the region to the nearest ten thousand is 340,000.
What is the number of people living in the region?Population density is the amount of organisms that live in a square feet of an area.
Population density x area = population
Area = πr²
3.14 x 7² = 153.86 m²
Population = 153.86 x 2200 = 340,000
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