Answer:
you multiply them together and get 328.125
8.75x37.5= 328.125
5. In the diagram below, lines AB and CD intersect at E such that mZAEC = 2x+4 and
m/AED=5x+1.
Find the measure of ZDEB. Show how you found your answer.
Based on the information in the triangle, the measure of ZDEB is 54°.
How to calculate the valueA triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. Triangles are commonly represented by drawing three line segments that connect three non-collinear points. The points where the line segments intersect are called the vertices of the triangle, and the line segments themselves are the sides of the triangle.
The sum of the measures of the angles of a triangle is 180 degrees. Therefore,
mZAEC + m/AED + mZDEB = 180
(2x+4) + (5x+1) + mZDEB = 180
7x+5 = 180
7x = 175
x = 25
mZDEB = 2x+4 = 2(25)+4 = 54 degrees
Hence, the answer is 54
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Express this number in scientific notation 0.0008235
HURRRYYYY
The sum of -15/32 and 7/32 is _____.
A. 1/4
B. -11/16
C. -1/8
D. -1/4
Answer: -1/4
Step-by-step explanation:
-15/32 + 7/32 = -8/32
32 divided by -8 gives us -4. The answer is then -1/4
4) Terry missed the sale on a $210 jacket. When he went to purchases it,
he jacket increased to a cost of $262.50 By what percent did the jacket
ncrease in price?
Answer:
The jacket increase by 25% in price.
Step-by-step explanation:
Given that:
Sale price of jacket = $210
New cost of jacket = $262.50
Change = New cost - Sale price
Change = 262.50 - 210 = $52.50
Percent increase = \(\frac{Change}{Sale\ price}*100\)
Percent increase = \(\frac{52.50}{210}*100\)
Percent increase = 0.25 * 100
Percent increase = 25%
Hence,
The jacket increase by 25% in price.
Explain how to write and evaluate the algebraic expression 13 less than the quotient of forty and a number; evaluate when n=2
Answer:So you would start with 40/n because quotient means division and then it would be (40/n) - 13 (40 divided by n then minus 13) because the answer is thirteen less than the quotient of those numbers. since it wants you to evaluate for n=2 you would do 40/2 which is 20 then subtract 13 which is 7.
So write the expression as (40/n) -13 and when you evaluate just stick the 2 where the n is for (40/2) - 13
20 - 13
= 7
Step-by-step explanation: HOPE THAT THIS WILL HELP YOU ❤️
Answer:
Here's an answer I used <3
Explanation:
You would then get to 40/n because quotient means division, then 40/n-13 because the outcome is 13 below the quotient. You can divide 40 by 20 to get 20, then 13 to get 7 because it asks you to test n=2.
Choose the student who correctly used translation to write an equation. The product of eight and a number is forty-eight. Mercedes’ work 8 + m = 48 Taran’s work 8t = 48 Kevin’s work 8 ÷ k = 48
Answer:
Taran's work is correct.
Step-by-step explanation:
Let the number be x.
The product of a number and 8 is 8x.
We are told the product equals 48, so we get
8x = 48
Taran's work is correct.
Answer:
Taran’s Work
Step-by-step explanation:
Product of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
8 x ? = 48
48 divided by 8 = 6
Mercede’s Work
8 + m = 48
8 + 6 = 48 INCORRECT
Taran’s Work
8t = 48
8(6) = 48 CORRECT
Kevin’s Work
8 / 6 = 48 INCORRECT
By rounding to 1 significant figure, estimate
288.7
×
7.8
Answer:
2251.86
Step-by-step explanation:
hope this works
The multiplication is gives 2400.
What is significant figure?Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value.
Given number:
288.7 x 7.8
Now, rounding to 1 significant figure
288. 7 = 300
7.8 = 8
So, the multiplication is as follows:
=300* 8
= 2400
Hence, the multiplication is 2400.
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7. Suppose that the discriminating monopolist has the demand functions
P_{1} = 200 - 2Q_{1}; P_{2} = 180 - 4Q_{2} and that the cost function is C = 20(Q_{1} + Q_{2}) .
a) How much should be sold in the 2 markets to maximise profits?
b) What are the corresponding prices?
c) How much profit is lost if it becomes illegal to discriminate?
12 marks]
12 marks]
16 marks]
d) Discuss the consequences of the imposition of a tax of 5 per unit sold in market 1 by
a) To maximize profits, 10 units should be sold in market 1 and 5 units in market 2.
b) The corresponding prices are $180 in market 1 and $160 in market 2.
c) If it becomes illegal to discriminate, the profit loss is $50.
d) The imposition of a tax of $5 per unit sold in market 1 would likely decrease the monopolist's profit and potentially lead to adjustments in prices and quantities sold in both markets.
a) To maximize profits, the monopolist should set marginal revenue equal to marginal cost in each market.
In this case, marginal revenue is equal to the derivative of the demand function with respect to quantity, and it can be calculated as MR = dP/dQ.
For market 1:
MR₁ = dP₁/dQ₁ = -2
For market 2:
MR₂ = dP₂/dQ₂ = -4
Setting MR equal to marginal cost, which is the derivative of the cost function with respect to quantity, gives:
MR₁ = -2 = dC/dQ₁ = 20
MR₂ = -4 = dC/dQ₂ = 20
Solving these equations, we find:
Q₁ = 10
Q₂ = 5
Therefore, the monopolist should sell 10 units in market 1 and 5 units in market 2 to maximize profits.
b) To determine the corresponding prices, we substitute the quantities obtained in part (a) into the demand functions:
For market 1:
P₁ = 200 - 2Q₁ = 200 - 2(10) = 180
For market 2:
P₂ = 180 - 4Q₂ = 180 - 4(5) = 160
Therefore, the corresponding prices are $180 in market 1 and $160 in market 2.
c) To calculate the profit lost if it becomes illegal to discriminate, we need to compare the profits under discrimination with the profits under non-discrimination.
Under discrimination, the monopolist charges different prices in each market, while under non-discrimination, the same price is charged in both markets.
Under discrimination:
Profit = Total revenue - Total cost
For market 1:
Total revenue₁ = P₁ \(\times\) Q₁ = 180 \(\times\) 10 = $1
For market 2:
Total revenue₂ = P₂ \(\times\) Q₂ = 160 \(\times\) 5 = $800
Total revenue = Total revenue₁ + Total revenue₂ = $1800 + $800 = $2600
Total cost = C = 20(Q₁ + Q₂) = 20(10 + 5) = $300
Profit = Total revenue - Total cost = $2600 - $300 = $2300
Under non-discrimination:
Since the same price is charged in both markets, we take the average price:
Average price = (P₁ + P₂) / 2 = (180 + 160) / 2 = $170
Total revenue = Average price \(\times\) (Q₁ + Q₂) = $170 \(\times\) (10 + 5) = $2550
Total cost remains the same at $300.
Profit = Total revenue - Total cost = $2550 - $300 = $2250
Therefore, the profit lost if discrimination becomes illegal is $2300 - $2250 = $50.
d) The imposition of a tax of $5 per unit sold in market 1 would increase the cost per unit for the monopolist.
This would affect the profit-maximizing quantity in market 1 and potentially lead to a change in prices.
The monopolist would compare the new marginal cost, which includes the tax, with the marginal revenue to determine the new profit-maximizing quantities and prices.
The tax would likely reduce the monopolist's profits and could potentially result in adjustments in production and pricing strategies.
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A group 23 students went to a basketball game. Each student bought a candy and a popcorn. Let c represent the price of candy, and let p represent the price of popcorn. Write two equivalent expressions to represent the total spent
The equivalent expressions which represent the total amount spent during the game is 23(c + p).
What does an expressions means?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations.
If c represents the price of candy and p represents the price of popcorn, then the total amount spent by the 23 students can be expressed is expressed as "23(c + p)" because each of the 23 students bought one candy and one popcorn, so the total amount spent is the product of the number of students (23) and the sum of the prices of a candy and a popcorn (c + p).
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The two cones below are similar. What is the height of the smaller cone?
5
07
3
A. 5
B.
15
7
c.
D.
SUBMIT
Answer:
x = 15/7
Step-by-step explanation:
Given that the two cones are similar, then
3/7 = x/5
7x = 15
x = 15/7
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Can somebody help me asap please.
Answer:
1 5/8 days
Step-by-step explanation:
Days spent on English : 5 3/8 = 27/8 days
Days spent on science: 3 1/4 = 13/4 days
Days spent on math 1 1/2 = 3/2 days
Days spent on English and math = 27/8 + 3/2 = 27/8 + 12/8 = 39/8 days
Difference between English+math and science: 39/8 - 13/4
= 39/8 - 26/8 = 13/8 or 1 5/8 days
Tim's wrapping paper
15 - (4 1/3 + 5 3/8)
= 15 - (13/3 + 43/8)
= 360/24 - (104/24 + 129/24)
= (360 - 233)/24
= 127/24
= 5 7/24 feet
Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
When Seema used compatible numbers to estimate the product of (–25.31)(9.61), her estimate is A. -250.
How to illustrate the information?From the information, it should be noted that Seema used compatible numbers to estimate the product of (–25.31)(9.61).
It should be noted that -25.31 when rounded will be -25.
It should be noted that 9.61 when rounded will be 10.
Therefore, the multiplication will be:
= -25 × 10
= -250.
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Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate?
-250
-240
240
250
HELP THIS IS URGENT WILL GIVE BRANLIEST ANSWER 3 AND 6
(3, 4, 5, ...} is finite or infinite
The given set is (3, 4, 5, ...} is infinite set.
A set with an infinite number of elements is one that cannot be numbered. A set that has no last element is said to be endless. A set that can be put into a one-to-one correspondence with a suitable subset of itself is said to be infinite. No issue with the in-class assignment.
The stars in the clear night sky, water droplets, and the billions of cells in the human body are just a few examples of endless sets of objects that surround us. A set of natural numbers, however, serves as the best illustration of an infinite set in mathematics. There is no limit to the amount of natural numbers.
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No clue if someone can explain
Answer:
your trying to find out how much each cookie cost
from looking at this we can see that 2 cookies is 1 dollar so each cookie is 50 cents
Hope This Helps!!!
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the answer is 1/6
i got it right edg 2020
Step-by-step explanation:
dont come at me because we had the same answer
Answer: 1/6
Step-by-step explanation:
Mark was given several thumbtacks. He gave 7 away to his best friend and then use one third of it to give to his mother. His mother got 5 thumbtacks. How many thumbtacks was Mark given? 2
Mark gave 7 TB to his best friend
1/3*(Total TB) to give his mother
His mother got 5
1/3*(Total TB) = 5
Total TB = 5*3
Total TB = 15 TB
now let's add those of your friend
Total = 15 + 7 = 22
Mark had 22 thumbtacks
7). Kevin and his 8 friends made $1080 mowing lawns this summer. How. much money will each person get if they divide the money evenly? Write the equation and give the solution.
Answer:
120
Step-by-step explanation:
Divide 1,080 by 9.
Can you help me with this please I don’t understand
Answer:
12
742
127.5
Step-by-step explanation:
If it's the area that 6*4=24, but it's not sqaure it's half ,so 24/2=12
742
127.5
3sin²x-2cos²x=5sin²x-2
Answer:
L.H.S.3sin²x-2cos²x3sin²x-2(1-sin²x)3sin²x-2+2sin²x5sin²x-2R.H.S provedStep-by-step explanation:
Note:
we have
sin²x+cos²x=1
replacing it
cos²x=1-sin²x
[as we need sin on right hand side.]
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
Find the value of a and b
Answer:
a = 60
b = 60
Step-by-step explanation:
We know that BC is 90°, because of the square thingy.
YB is 30°.
Now we do 180 - 30 - 90 = 60 (180 is the straight angle)
60 = b
Then a is the same.
Find two consecutive integers whose product is 12.
Answer:
3 and 4
Step-by-step explanation:
Look at the factors of 12 and list them out
1 and 12
2 and 6
3 and 4
Find the 2 numbers that are consecutive
3 and 4
Estimate the product of 0.235 and 13.467 to the nearest hundredth. Round each value to the nearest hundredth before multiplying. Your final answer should also be rounded to the nearest hundredth.
Answer:
0.235 = 0.24
13.467 = 13.47
0.24+13.47=13.71
Let f(x) = – x-1 and g(x) = x² – 4.
Find (f o g)(3).
Then (f o g)(3) =
Answer:
answer is -6
Step-by-step explanation:
hope it helped!!!
A and«B are complementary angles. The ratio of
∠A and ∠B are complementary angles:
\(\angle A+\angle B=90\degree\ldots(1)\)The ratio of ∠A to ∠B is 5 : 13:
\(\frac{\angle A}{\angle B}=\frac{5}{13}\ldots(2)\)From equation (2):
\(\angle A=\frac{5\angle B}{13}\ldots(3)\)Now, using (3) in (1):
\(\begin{gathered} \frac{5\angle B}{13}+\angle B=90\degree \\ \frac{18\angle B}{13}=90\degree \\ \angle B=\frac{90\degree\cdot13}{18} \\ \Rightarrow\angle B=65\degree \end{gathered}\)Finally, using this result on (3):
\(\begin{gathered} \angle A=\frac{5\cdot65\degree}{13} \\ \therefore\angle A=25\degree \end{gathered}\)The composite figure is made up of a___a0___a1 on top of a___a2___.a3
Answer:
The composite figure is made up of a rectangular prism on top of a rectangular prism.
Step-by-step explanation:
The figure on top is a rectangular prism. It is a 6 sided figure with each side a rectangle. The figure on bottom is also a rectangular prism. It is a 6 sided figure with each side a rectangle.
Question 10 of 10
Which of the following equations is an example of inverse variation between
the variables x and y?
A. Y= 5/x
B. Y= x/5
C. Y= x+5
D. Y=5x
Answer:
A
Step-by-step explanation:
Inverse variation means that y is getting smaller as x gets bigger. The only way for that to happen is with negative numbers or x as a divisor.
A person can pay $23 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 6 visits?
the expression is
\(23+1v=23+1(6)=23+6=29\)where v = visits
answer: $ 29 is the total cost of 6 visits