To find the equilibrium quantity, we need to set the demand equal to the supply and solve for the quantity:
qd = qs
325 - 8p = -60 + 3p
8p + 3p = 325 + 60
11p = 385
p = 35
Now we can substitute this price back into either the demand or supply equation to find the equilibrium quantity:
qd = 325 - 8(35) = 45
Therefore, the equilibrium quantity for hardcover books is 45, which is option (d).
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john has 350 which is 50 more than sally has, how much does sally have?
Answer:
sally has 400.
Step-by-step explanation:
because if u add 350 and 50 it equals 400
Answer:
300
Step-by-step explanation:
john= 350
sally=350-50
=300
Isabel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line that represents the height of the bucket relative to the top of the well? y [ Select ] [ Select ] = [ Select ] (x - [ Select ] )
Answer:
Point slope form is y+1=4(x-1)
Step-by-step explanation:
She lifts water at a rate of 4ft/s.
After 1 second, the bucket is 1 feet below the top of the well. So, point form of this would be (1,-1).
Here, let's use the slope m= rate = 4 ft/s
Point as (1,-1)
So, y-(-1)= 4(x-1)
Simplify, it gives
y+1= 4(x-1)
Answer:
y + 1 = 4 (x - 1 )
Step-by-step explanation:
Answer 1:
+
Answer 2:
1
Answer 3:
4
Answer 4:
1
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 fect and a height of 13 fect. Container B has a diameter of 12 feet and a height of 18 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. After the pumping is complete. what is the volume of the empty portion of Container B, to the nearest tenth of a cubic foot?
The volume of the empty portion of Container B is given as follows:
34.6 ft³.
How to obtain the volume of the cylinder?The volume of a cylinder of radius r and height h is given by the equation presented as follows:
V = πr²h.
(the radius is half the diameter).
Hence the volume of Container A is given as follows:
V = π x 7² x 13
V = 2001.2 ft³.
The volume of container B is given as follows:
V = π x 6² x 18
V = 2035.8 ft³.
Then the volume of the empty portion of Container B is given as follows:
2035.8 - 2001.2 = 34.6 ft³.
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When Mr. Krumm purchased a tie he paid $\$9.27$, which included the $3\%$ sales tax. How many dollars did the tie cost before the tax was included
Mr. Krumm paid $9.27 for a tie that had a 3% sales tax added on. So, the tie cost $231.75 before the tax was included.
To find out how much the tie cost before the tax was included, we need to first calculate how much of the total price was due to the tax. We know that the total price Mr. Krumm paid was $9.27, and that this price included a $3% sales tax.
To calculate the amount of tax that was included in the price, we can start by setting up an equation:
0.03x = 9.27 - x
Here, x represents the cost of the tie before the tax was included. We know that the tax is 3% of this cost, which is why we're multiplying it by 0.03.. We're also subtracting x from 9.27 to get the amount of tax that was added on.
Simplifying this equation, we get:
0.04x = 9.27
Dividing both sides by 0.04, we get:
x = 231.75
So the tie cost $231.75 before the tax was included.
In summary, Mr. Krumm paid $9.27 for a tie that had a 3% sales tax added on. To find out how much the tie cost before the tax was included, we set up an equation and solved for the cost of the tie (x) before the tax was added. The answer is that the tie cost $231.75 before the tax was included.
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recomend a good singer
Im into like chill beats
Answer:
two feet have got some really nice / chill beats and songs. I listen to mostly rock / metal so this is the best i got for you lol
Step-by-step explanation:
Point F is on line segment EG. Given FG = 3x - 5, EF = 2, and
EG = 5x – 8, determine the numerical length of FG.
Answer:
2.5
Step-by-step explanation:
EG = EF + FG;
5x-8 = 2 + 3x-5
2x = 5
x = 2.5
FG = 3x-5 = 2.5
If Ted reads 8 books in 4 months, how many books does Ted read in 1 month?
La empresa Computec se dedica a la producción de calculadoras, donde el costo de producir cada una es de $120 y los costos fijos semanales son de $15000. Además, la empresa vende cada calculadora al precio de $20. ¿Cuántas calculadoras debe producir y vender la empresa para obtener una utilidad semanal de $16?
Answer:
Unidades a vender= 388
Step-by-step explanation:
Dada la siguiente información:
Costo variable unitario= $120
Costo fijo= $15,000
Precio de venta= $200
Utilidad deseada= $16,000 (supongo)
Para calcular el número de unidades a vender, tenemos que usar está formula:
Unidades a vender= (costo fijo +utilidad deseada) / contribucíon marginal
Unidades a vender= (15,000 + 16,000) / (200 - 120)
Unidades a vender= 388
A fishing guide charges a $150 fee per fishing trip plus $60 per person in a group. The guide charged a group $630 for a fishing trip.
How many people were in the group?
Answer:
8 people
Step-by-step explanation:
$630-$150= 480
480 divided by 60 dollars= 8 people
Answer:
8 people are n this group
Step-by-step explanation:
60 x 8 = 480 +150 = 630
For the last several weeks, Carol has been saving the coins from her waitressing tips so that she can buy her grandmother a music box for her birthday. If there are 70% more quarters than dimes in the money Carol has saved, and the combined value of her quarters and dimes is $31.50, how many dimes does she have
To check our answer, we can verify that the number of quarters is 1.7 times the number of dimes, which would be 102. And the total value of her dimes and quarters would be: $31.50
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's start by using algebra to solve the problem.
Let x be the number of dimes that Carol has saved.
According to the problem, there are 70% more quarters than dimes. We can express the number of quarters in terms of x as 1.7x, since 1.7 times the number of dimes is equal to the number of quarters.
We also know that the combined value of her quarters and dimes is $31.50. We can express this as an equation:
0.10x + 0.25(1.7x) = 31.50
Simplifying and solving for x, we get:
0.10x + 0.425x = 31.50
0.525x = 31.50
x = 60
Therefore, Carol has 60 dimes.
Therefore, To check our answer, we can verify that the number of quarters is 1.7 times the number of dimes, which would be 102. And the total value of her dimes and quarters would be:
60 * $0.10 (dimes) + 102 * $0.25 (quarters) = $31.50
which matches the information given in the problem.
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What is the description of <2 as it relates to the situation shown?
Consider the following example.
IN here, we have angles 1 and 2 measured with respect the horizontal line that passes through point A. Note that angle 2 is related to points A and C. In this case, angle is under the horizontal line that passes through A. Then, angle 2 is the angle of depression from point A to point C. Every angle that is under the horizontal line would receive the name of angle of depression. In the same manner, since angle 1 is above the horizontal line, then it is an elevation angle from point A to point C. In fact, every angle that is above the horizontal line, would receive the name of elevation angle.
Coming back to our problem, we can see that angle 2 is formed by the horizontal line that passes through the radar and the line that connects the plane to the radar. This angle would be above the horizontal line of the radar. Then, according to our previous explanation, this means that angle 2 is an elevation angle from the radar to the plane.
Which of the following statements considered as always true?
A. All intersecting lines are perpendicular.
B. All parallel lines cut by a transversal line.
C. All perpendicular lines are intersecting line.
D. All transversal line is for parallel lines only
is x²-x divisible by 2?
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
No, because \((x^2-x)/2\) does equal \(x^2/2-x/2\). Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.
six rats eat six identical pieces of cheese in six hours. assuming rats eat at the same rate, how long will three pieces of cheese last three rats?
It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.
6 rats eat 6 identical pieces of cheese in 6 hours.
Assuming rats eat at the same rate,
3 pieces of cheese last three rats?
It is assumed here that rats always eat at the same rate, 3 rats eat 3 identical pieces of cheese in 3 hours.
Therefore, six rats eat six identical pieces of cheese in six hours and 3 rats eat 3 identical pieces of cheese in 3 hours.
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Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Drag carrots and potatoes into the box to show how many Mark needs for 15 servings.
The number of carrots and potatoes that Mark will need for 3 servings will be 6 carrots and 3 potatoes.
How to illustrate the information?It should be noted that an expression is simply used to show the relationship between the variables that are illustrated.
From the information, Mark's soup recipe makes 10 servings and uses 4 carrots and 2 potatoes. Therefore, to make 5 servings, he will need half of the carrots and potatoes. This will be 2 carrots and 1 potatoe.
Therefore, to make 15 servings, the total needed will be;
= (4 + 2 carrots) as (2 + 1 potatoes)
= 6 carrots and 3 potatoes
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You find that the test statistic value is 0.41. Based on your critical region, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)
If the test statistic value falls within the critical region, we reject the null hypothesis (H0) at the given significance level (α).
If the test statistic value falls outside the critical region, we do not reject the null hypothesis.
To determine the decision regarding the null hypothesis based on a test statistic value and a critical region, we need to compare the test statistic value to the critical value(s) of the test.
Since the question does not provide information about the significance level or the directionality of the test, we cannot determine the critical region or make a decision about the null hypothesis based on the test statistic value alone.
More information is needed to interpret the result of the test.
At the specified significance level (), we reject the null hypothesis (H0) if the test statistic value is inside the crucial zone.
If the test statistic result is outside of the acceptable range, the null hypothesis is not rejected.
The test statistic value to the test's critical value(s) in order to decide whether to reject the null hypothesis based on a test statistic value and a crucial area.
We cannot establish the crucial area or choose the null hypothesis based only on the test statistic value since the question does not specify the significance level or directionality of the test.
To understand the test's outcome, more details are required.
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someone please help me with this problem
Answer:
A and E
Step-by-step explanation:
If you add all the perimeters and the half circles, it would make 40 + 20π. And you can get this in two ways. A and E
Answer:
The correct answer is A and E.
Step-by-step explanation:
The perimeter of this shape is 10 + 10 + \(\frac{20\pi }{2}\) + 10 + 10 + \(\frac{20\pi }{2}\) = 10 + 10 + \(10\pi\) + 10 + 10 + \(10\pi\) = 40 + \(20\pi\).
A student answers 75% of the questions on a math exam correctly.If he answers 15 questions correctly,how many questions are on the exam
Answer:
20
Step-by-step explanation:
Given the function f(x)=-x^2+6x+17 determine the average rate of change of the function over the interval −3≤x≤7.
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
Here [ a, b ] = [ - 3, 7 ] , then
f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10
f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10
average rate of change = \(\frac{10-(-10)}{7-(-3)}\) = \(\frac{10+10}{7+3}\) = \(\frac{20}{10}\) = 2
Solve For X
Setup the proportion.
After considering the given data we conclude that the value of CE = x = 6, under the condition that the given figure is AEC. The set up proportion is 6/4 = 1.5
In the given figure, we have two right-angled triangles ABC and CBE such that triangle ABC meets triangle CBE at a common side of BC. The base of triangle ABC is 8 and the base of triangle CDE is 4. We need to find the length of CE.
We can see that triangle ABC and triangle CBE are similar triangles because they share an angle (angle B) and have a common side (BC). Therefore, we can write:
AB/BC = CB/CE
We know that AB = AC - CB = √(AC² - BC²) = √(8² - BC²) and CB = CE - BE = √(CE² - 4²).
Substituting these values in the above equation, we get:
√(8² - BC²)/BC = CB/CE
√(8² - BC²)/BC = √t(CE² - 4²)/CE
Squaring both sides of the equation, we get:
(8² - BC²)/BC² = (CE² - 4²)/CE²
Multiplying both sides by BC² × CE², we get:
(8² - BC²) × CE² = (CE² - 4²) × BC²
64CE² - BC² × CE² = CE² × BC² - 16
80CE² = BC² × CE² + 16
Substituting BC = BE + EC = BE + CE/3 (because triangle CBE is a right-angled triangle), we get:
80CE² = (BE + CE/3)² × CE² + 16
80CE² = (BE×CE + CE³/3)² + 16×CE²
Substituting BE = AB - AE and AB = √(8² - BC²), we get:
80CE⁴ = ((√(8² - BC²) × CE) + (CE/3)³)² + 16×CE²
Substituting BC with √(8² - BC²), we get:
80CE⁴ = ((√(8² - (√(8² - BC²))²) × CE) + (CE/3)³)² + 16×CE²
80CE⁴ = (√64 - BC²) × CE) + (CE/27))² + 16×CE²
80CE⁴ = (64×CE⁴ - BC×BC×CE×CE + 32×√(64-BC×BC)×CE×CE/27 + CE×CE/729) + 16×CE×CE
0 = 64×CE×CE - BC×BC×27×CE×CE + 32×√(64-BC×BC)×27×CE×CE + CE×CE/5
0 = 3200×CE×CE - 27×(BC⁴)×5
Solving for CE, we get:
3200 × CE² = 27 × (8⁴)
3200 × CE² = 27 × (4096)
3200 ×CE² = 110,592
CE² = 110,592 / 3200
CE² = 34.56
CE = 6
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a rectangular wall with a height of 7 1/2 ft has a perimeter of 46 ft. What is the area of the wall?
Answer:
116.25 ft²
Step-by-step explanation:
Height = 7.5ft
Perimeter : 2(7.5)ft + 2x ft = 46ft
Length = x ft
15+2x = 46ft
31 ft = 2x ft
x = 15.5 ft
7.5 x 15.5 = 116.25 ft²
If my answer is incorrect, pls correct me!
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-Chetan K
Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144
Answer:
the answer is 144
Step-by-step explanation:
just add 72+72=144
Please help me I really need help
Answer:
No
Step-by-step explanation:
parallel is when 2 lines never touch and move in the same direction and these touch and move in different directions
Hopes this helps please mark brainliest
cuanto da 10 mas -30
Answer:
-20
Step-by-step explanation:
what type of variable is the number of gallons of gasoline pumped by a filling station during a day? qualitative continuous attribute discrete
The number of gallons of gasoline pumped by a filling station during a day represents a B: "quantitative " type of variable.
Quantitative variables are data about numeric values such as how much; how often; or how many. In other words, quantitative variables are referred to as any variables that represent amounts, such as age, height, or weight.
In the given case, it is talked about the number of gallons of gasoline filled during a day; since it represents the quantity or number of gallons so it is a type of quantitative variable, representing the number of gallons of gasoline to be pumped.
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Find the Fare without Tip: 3 passengers, 9.5 miles.
O $19.54
O$16.70
O $18.29
O$17.48
Answer:
$16.70
Step-by-step explanation:
9.5 miles / .25 = 38
The first mile is 1.25 so we do this
37 * .35 = 12.95
12.95 + 1.25 = 14.2
14.2 + 1.25 + 1.25(two additional passengers) = 16.70
A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 14900 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 120-kilogram crates that can be loaded into the shipping container.
HURRY PLEASEEEEEEEEEEEEEEEEEEE!
A maximum of 105 number of 120 kilograms can be loaded in the container.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Weight of each crate = 120 kg
The greatest weight loaded in the container = 27500 kg
Weight already loaded in the container = 14900 kg
Now,
Since, Weight already loaded = 14900 kg
Let number of 120 kilograms loaded in the container = x.
Hence, Weight of x = 120 kg
So, After combined we get;
Weight nor be greater than the capacity of the container.
Hence, we can formulate;
14900 + 120x ≤ 27500
Subtract 14900 we get;
120x ≤ 27500 - 14900
120x ≤ 12600
x ≤ 12600 ÷ 120
x ≤ 105
Thus, A maximum of 105 number of 120 kilograms can be loaded in the container.
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Plz help ASAP assignment due today !!!
Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.
Square - a rectangle (4 sided shape) whose sides are equal length
Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines
Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles
Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.
Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines
Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.
Happy to help!
Answer:
1). Triangle - Has 3 equal sides and angles of 60°.
2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).
3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.
4). Pentagon - It has 5 equal sides with equal angles of 108°.
5). Hexagon - It has 6 equal sides with equal angles of 120°.
PROPERTIES OF A CIRCLE:
It has no sides with no angles. The radius in any direction from the point are of the same length.
a histogram with the hills to the far left means the image is overexposed.
The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.
A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.
When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.
Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.
Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.
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John spent 80% of his money and saved the rest. Peter spent 75% of his money and saved the rest. If they saved the same amount of money, what is the ratio of John’s money to Peter’s money? Express your answer in its simplest form.
The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.
Let's assume John has 'x' amount of money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'
So,
p = x - 80x/100 (equation 1)
q = y - 75y/100 (equation 2)
According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.
p = q
x- 80x/100 = y - 75y/100
x - 0.8x = y - 0.75y
0.2x = 0.25y
x = 0.25y/0.2
x/y = 0.25/0.2
x/y = 25/20
x/y = 5/4
Hence, the ratio of John's money to Peter's money is 5/4.
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