Answer: 65 degrees
Explanation:
The adjacent angle directly above angle 8 is congruent to the 115 degree angle (due to the corresponding angles theorem). This only works because p || q and q || r, so by the transitive property of parallel lines, we know that p || r.
Since the 115 degree angle and angle 8 pair up to form a straight line, we know that the two angles must add to 180 degrees
115+(angle 8) = 180
angle 8 = 180 - 115
angle 8 = 65 degrees
Answer:
\(m\)∠8 = 65°
Step-by-step explanation:
The other side (angle) of 115 is \(n\) and \(n =\) ∠8
To find \(n\) you need to subtract 180 - 115 giving you 65, and since n is angle 8, angle 8 is also 65 since the angles have a state of congruence...
X centimetres = y inches
use 25 centimetres = 10 inches to write a formula for y in terms of x.
the formula for y in terms of x is: y = (2x * inches) / 5 centimeters
To write a formula for y in terms of x, given the conversion 25 centimeters = 10 inches, we can use the concept of proportions.
We can set up a proportion between the given values:
x centimeters / y inches = 25 centimeters / 10 inches
To solve for y, we can cross-multiply:
x * 10 inches = y * 25 centimeters
Now, we isolate y by dividing both sides of the equation by 25 centimeters:
y = (x * 10 inches) / 25 centimeters
Simplifying further:
y = (2x * inches) / 5 centimeters
Therefore, the formula for y in terms of x is:
y = (2x * inches) / 5 centimeters
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please help me this is due in 20 min
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Let P represent the number of pizzas that Jacque buys.
What is the inequality ?
Answer:
7.50 + 14P < 60; 24 slices
Step-by-step explanation:
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
Can someone please help me with b and C questions
Answer:
(b) 33919
(c) 8 ¹/₃
Step-by-step explanation:
⇒ 317 × 107 = (300 + 10 + 7)(100 + 7)
= 300(100 + 7) + 10(100 + 7) + 7(100 + 7)
= 30000 + 2100 + 1000 + 70 + 700 + 49
= 30000 + 2000 + 100 + 1000 + 70 + 700 + 40 + 9
= 30000 + 2000 + 1000+ 700 + 100 + 70 + 40 + 9
= 30000 + 3000 + 800 + 110 + 9
= 30000 + 3000 + 800 + 100 + 10 + 9
= 30000 + 3000 + 900 + 10 + 9
= 33919
\(\begin{aligned} 5\frac{2}{3}+3\frac{1}{2}-\frac{5}{6}&=\dfrac{5 \times3+2}{3}+\dfrac{3 \times 2+1}{2}-\dfrac{5}{6}\\\\&=\dfrac{17}{3}+\dfrac{7}{2}-\dfrac{5}{6}\\\\& =\dfrac{17 \times 2}{3\times 2}+\dfrac{7\times 3}{2\times 3}-\dfrac{5}{6}\\\\ & = \dfrac{34}{6}+\dfrac{21}{6}-\dfrac{5}{6}\\\\ & = \dfrac{34+21-5}{6}\\\\ & = \dfrac{50}{6}\\\\&=8\frac{1}{3}\end{aligned}\)
Calculate the net profit margin for a
shirt sold for $12 that has a $3 cost of
goods sold and 20% operating expenses.
A. 55%
C. 70%
B. 220%
D. $7
The net profit margin for this shirt is 55%.
What is net profit?
Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.
Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.
It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.
Profitability is a measure of efficiency and is useful in determining the success or failure of a business.
Given,
Revenue = $12
Cost of goods sold = $3
Operating expenses = 20% of revenue = 20/100 x $12 = $2.4
We know,
Net Profit = Revenue - Cost of goods sold - Operating expenses
\(Net \: Profit = 12 - 3 - 2.4\)
Hence, Net Profit = $6.6
Again,
Net Profit Margin = (Net Profit / Revenue) x 100%
Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)
SO, Net Profit Margin = 55%
Therefore, the net profit margin for this shirt is 55%.
So, it is clear that choice A is correct.
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Find the surface area of the composite solid.
The surface area of the composite solid is S = 870 m²
Given data ,
Let the surface area of the composite solid be S
Now , the surface area of the rectangle = R
And , the surface area of triangular prism = T
where , Surface Area R = 2 ( LH + LW + HW )
On simplifying , we get
R = 2 ( 15 x 7 + 15 x 9 + 7 x 9 )
R = 2 ( 105 + 135 + 63 )
R = 606 m²
T = 2A + ( a + b + c )h
where A = √s ( s - a ) ( s - b ) ( s - c ) and a = 5 m , b = 6m , c = 5 m , h = 7 m
On simplifying , we get
T = 264 m²
Now , S = T + R
S = 606 + 264
S = 870 m²
Hence , the surface area is S = 870 m²
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On January 1, one share of stock in the LMNOP Corp was worth $85. By
December, it lost 11.6% of its value. What is the new value of one share of LMNOP
stock?
Answer:
$75.14
Step-by-step explanation:
The new value of one share of LMNOP stock after 11.6% increment is $75.14
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \times b\)
For this case, we are given that:
Initial price of the stock = $85/shareFinal price of the stock in December = initial price - 11.6% of initial price (since it lost 11.6% of its initial value, so decrement, which is denoted by subtraction).Now, the 11.6% of initial price is:
\(\dfrac{85}{100} \times 11.6 = \$9.86\)
Thus, the final price of the stock in December = $85 - $9.86 = $75.14
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Select the statement below that is true about correlations.A. Correlations can only be negativeB. Correlations are a measure of how much one variable changes as the other variable changesC. Correlations are a measure used to determine the degree to which two variables are related.D. Correlations are a measure of causation between two variablesE. A negative correlation implies no relationship between variablesF. Correlations can only be positive
The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .
In the question,
few statements about Correlation is given ,
we need to find the statement that is True .
we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,
the correlation can be negative , positive or 0 ,
and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .
So , from the above information about Correlation ,
we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "
Therefore , the statement in option (c) is True .
The given question is incomplete , the complete question is
Select the statement below that is true about correlations.
(a) Correlations can only be negative
(b) Correlations are a measure of how much one variable changes as the other variable changes
(c) Correlations are a measure used to determine the degree to which two variables are related.
(d) Correlations are a measure of causation between two variables
(e) A negative correlation implies no relationship between variables
(f) Correlations can only be positive .
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clayton drew a scale drawing of a hotel. the scale of the drawing was 1 inch : 8 feet. a room in the hotel is 3 inches long in the drawing. how long is the actual room? ____ feet
If the length of the room in drawing is 3 inches, then the actual length of the room is 24 feet
The scale of the drawing of a hotel = 1 inch : 8 feet
The length of the room in the hotel in the drawing = 3 inches
Consider the actual length of the room as x
Then the proportion will be
1 inch / 8 feet = 3 inches / x feet
Cross multiply the terms and find the value of x
1 × x = 3 × 8
Multiply the numbers
x = 24 feet
Hence, if the length of the room in drawing is 3 inches, then the actual length of the room is 24 feet
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HELP ASAP!! PLEASE AND THANK YOU
Use the clues to find the code number:
• It is between 8,500 and 8,800.
• When multiplied by 8, the result is a whole number.
• The digit in the hundreds place is ¾ the digit in the thousands place.
o The sum of all digits in the
number is 26.
• The digit in the hundredths place is 200% of the digit in the tenths place.
• There are no zeros in the decimal places.
•What code numbers fit these clues?
•Explain how you used all of these clues to find these possibilities.
• Write one more clue so that there is only one possible code number.
HELP HAS ARRIVED !!!!
To find the possible code numbers, we can start by using the clues one by one and narrowing down the possibilities:
- The number is between 8,500 and 8,800, so we know the first digit is 8 and the second digit is either 5, 6, 7, or 8.
- When multiplied by 8, the result is a whole number, which means the number must be divisible by 8. The only possibilities in our range are 8,512, 8,528, 8,544, 8,560, 8,576, 8,592, 8,608, 8,624, 8,640, 8,656, 8,672, 8,688, 8,704, 8,720, 8,736, 8,752, 8,768, 8,784, and 8,800.
- The sum of all digits in the number is 26, which means we can eliminate some possibilities. For example, 8,512 has a digit sum of 16, so it's not a valid option. Similarly, 8,800 has a digit sum of 16, so it's also not a valid option. We can eliminate other possibilities that don't add up to 26 as well.
- The digit in the hundreds place is ¾ the digit in the thousands place. This narrows down the possibilities even further. The thousands digit must be divisible by 4 and greater than or equal to 2. That means the thousands digit can only be 2, 4, 6, or 8. We can use this information to eliminate some more possibilities.
- The digit in the hundredths place is 200% of the digit in the tenths place. This means the tenths digit cannot be 0 or 5, because otherwise the hundredths digit would be 0. That leaves us with the possibilities 1, 2, 3, 4, 6, 7, 8, and 9.
- There are no zeros in the decimal places, so we can eliminate 8,560 and 8,640.
- Putting all of this information together, we can narrow down the possibilities to 8,576, 8,608, 8,672, and 8,688.
To make it so there is only one possible code number, we can add one more clue:
- The number is not divisible by 9.
This eliminates 8,640 and 8,688, leaving us with the only possible code number:
Code number: 8,576
We used all of the given clues to eliminate possibilities and narrow down the valid options. Adding the additional clue that the number is not divisible by 9 made it so there was only one possible code number.
Refer to parallelogram ABCD to answer to following questions.
Do the diagonals bisect each other? Justify your answer.
Yes; The diagonals are not congruent.
Yes; AK CK and DK. BK
No; AK CK and DKBK
No; The diagonals are not congruent.
Answer:
No: The diagonals are not congruent.
Tony believes that 10/25 can be rewritten as 40/100
Show how he knows below.
Answer:
He is right
Step-by-step explanation:
10/25 times 4/4 = 40/100
10 x 4 = 40
25 x 4 = 100
Answer:
Step-by-step explanation:
10/25
simplest form is2/5
For 40/100
=8/20
=2/5 is the simplest form
so he is right
Convert 5 days into years. Round your answer to the nearest hundredth.
Answer:
5/365 years, or 0.014 years
Step-by-step explanation:
Just like any conversion of units, we just set up the starting amount and multiply it by the correct ratio:
5 days (1 year/ 365 days) = 5/365 years = 0.014 years
You just need to make sure you choose the right ratio. In this case, I know that 1 year is 365 days, and I'm trying to cancel the days unit, therefore I put the year in the numerator and the days in the denominator.
I hope this helps :D
Answer:
0.01
Step-by-step explanation: 5 ÷ 365 ( days of year) and it gives you 0.013 then round to nearest hundredth and since 3 is less than 5 it becomes a 0
IMMMMMMMMMMMMMMMMM SSOOOOOOOOOOOOOOO CONFUSEEDDDDDDDDD please EXPLAINNN HOWWW
Answer:
x=16
Step-by-step explanation:
Both angles are verically opposite angles
so
4x+21=85
4x=85-21
4x=64
x=16
how do you write X to the 4th power >>?
Answer:
x^4
Step-by-step explanation:
when the number 25 is added to a list of numbers with total sum , the average of all the numbers increase by one. what is the sum of the digits of the greatest possible value of ?
The number of digits that are there is 25 digits.
Let the sum of the numbers be x.
Also, let the number of digits there be y
So, we get that:
Average of numbers originally = x / y
Now,
(x + 25) / y = x / y + 1
(x + 25) / y = (x + y) / y
x + 25 = x + y
y = 25
Therefore, we get that, the number of digits that are there is 25 digits.
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73) Find the surface area. Don't forget your
label.
8 cm
10 cm
18 cm
8 cm
Answer:
512cm²
Step-by-step explanation:
1/2bh*2 = 1/2(4)(10)(2)=40
Each triangle is 40
18*8=144
Each rectangle is 144
144+144+144+40+40=512cm²
Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. He reported his data in the following list.
\qquad 13,0 , 14 , 36, 18, 913,0,14,36,18,913, comma, 0, comma, 14, comma, 36, comma, 18, comma, 9
Find the mean absolute deviation (MAD) of the data set.
Mean absolute deviation of the data set is equals to 180.625.
What is Mean absolute deviation?Mean absolute deviation of a data set is to find the average distance of each observation of data set and the mean of the data set.
Mean absolute deviation = 1/n ∑ absolute value of(\(x_{i}\) - \(x\))
\(x\) = average value of the given data set
n = total number of data set
\(x_{i}\) = data value in given set
So,
=2052/16
= 128.25
Then
Mean absolute deviation = 2890/16
= 180.625
Hence, Mean absolute deviation is 180.625.
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Find the mean of the following data set
41,7, 39, 11, 23, 31, 27, 7, 12
0 29
0 198
0 99
022
Answer:
22
Step-by-step explanation:
Add al the digits (198) then divide by how many digits there are (9)
198÷9=22
If -3(x+8)= -21, then x = -1.
Step-by-step explanation:
-3(x+8)=-21
open the bracket
-3x-24=-21
-3x=-21+24
-3x=3
x=-3/3
x=-1
Rita needs to replace the ink cartridge for her printer. She found four brands that make replacement cartridges. The table below shows the prices and number of pages expected from each brand.
Ink Cartridges
Brand
Price
Number of Pages
A
$20.00
200
B
$25.00
125
C
$30.00
150
D
$35.00
250
Which brand is the best buy?
A
B
C
The brand of cartridge which is the best buy us the brand with the lowest unit price which is brand A.
Unit priceBrand A
Cost = $20
pages = 200
Unit price = $20/200
= $0.1 per page
Brand B:
Cost = $25
Pages = 125
Unit price = $25/125
= $0.2 per page
Brand C:
Cost = $30
Pages = 150
Unit price = $30 / 150
= $0.2 per page
Brand D:
Cost = $35
Pages = 250
Unit price = $35 / 250
= $0.14 per page
Therefore, the brand of cartridge which is the best buy us the brand with the lowest unit price which is brand A.
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A rectangular garden is 5 ft longer than it is wide. Its area is 300 ft2. What are its dimensions?
Answer:
width=x
length=5x
area= 300ft2
area=lxb
300=5x(x)
300=5x^2
x^2=60
x=7.74
7.74(5)=38.7
dimensions are 38.7ft by 7.74 ft
Please mark as brainliest
Step-by-step explanation:
the area of a rectangle is
length × width = 300 ft²
length = width + 5
(width + 5) × width = 300
width² + 5×width = 300
width² + 5×width - 300 = 0
the general solution to such a quadratic equation is
width = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 5
c = -300
width = (-5 ± sqrt(5² - 4×1×-300))/(2×1) =
= (-5 ± sqrt(25 + 1200))/2 =
= (-5 ± sqrt(1225))/2 = (-5 ± 35)/2
width1 = (-5 + 35)/2 = 30/2 = 15 ft
width2 = (-5 - 35)/2 = -40/2 = -20 ft
negative lengths for an actual object don't make sense, so width = 15 ft is our solution.
length = width + 5 = 15 + 5 = 20 ft
Find the coordinate of J' after a reflection of the triangle about the y-axis. Write your answer in the form (a,b)
Answer:
A (3,3)
J (5,2)
L (0,0)
Step-by-step explanation:
.........................
Find the third side, round the nearest 10th
Answer:
11.9
Step-by-step explanation:
Pythagorean theorem:
\(a^2+b^2 = c^2\). where a and b are the sides and c is the hypotehnus (the side in front of the 90 degree angle)
\(22^2 + b^2 = 25^2\\484 + b^2 = 625\\b^2 = 625-484\\b^2 = 141\\b = \sqrt{141} \\b = 11.9\)
Answer:
11.9
Step-by-step explanation:
This is a right triangle so I can solve this with the pythagorean theorem.
Set up the equation 22²+x²=25² x would be the third side
Simplify, 484+x²=625
Subtract from both sides 484-484+x²=625-484
x²=141
Find the square root of 141 to get x
The square root of 141 is approximately 11.9 rounded to the nearest tenth.
what is a repeating decimal
Answer:
A decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.666
Step-by-step explanation:
Answer:
A repeating decimal is a decimal fraction in which a figure or group of figures is repeated indefinitely, such as 0.888 or such as 1.734734734
NPV Calculate the net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year. Assume that the firm has an opportunity cost of 15%. Comment
The net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.
NPV is a method used to determine the present value of cash flows that occur at different times.
The net present value (NPV) calculation considers both the inflows and outflows of cash in each year of the project. The NPV is then calculated by discounting each year's cash flows back to their present value using a discount rate that reflects the firm's cost of capital or opportunity cost.
A 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year has a total cash inflow of $50,000 ($2,000 × 25).
Summary: Thus, the net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.
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Plz help will mark brainliest
Answer:
20
Step-by-step explanation:
First step is finding an angle in the rightmost triangle (angle K)
Using TOA we have
Tan(x)=4/8
x=26.565
which means that 90-26.565= 63.4349 will give us angle K in regards to the left triangle
Using this we can solve for JM
Tan(63.4349)=x/8
8tan(63.4349=x
x=16
So if JM = 16
and LM=4
take their sum to find JL
16+4=20
Lea wants to save money on a new computer. At the store near her, the computer she wants is listed at a regular price of $875.00. On Saturday, the store will have a sale and discount the computer by 30%. How much will Lea pay (without tax) when she buys the computer with a 30% discount? Help please this is due in 15 min thank you!! with explanation
A) $262.50
B) $350.00
C) $612.50
D) $1,137.50
Answer:
C)$612.50
Step-by-step explanation:
Plss make me BRAINLIEST
If there is 30% discount, u will pay 70%(7/10) of actual price.
70% of $871
7/10 x 871 = $612.50
Answer:
$612.50
Step-by-step explanation:
875 x 30% = 262.50
875- 262.50= $612.50
a group contains 11 republicans and 15 democrats. a committee of size seven is to be selected from the group. how many different committees are possible? how many different committees contain only republicans? 3. find the probability a randomly selected committee contains only republicans (round your final answer to four decimal places how many different committees contain 4 republicans and 3 democrats find the probability at a committee contains 4 republicans and 3 democrats. (round your final answer to four decimal places ) find the probability a randomly selected committee contains at least one democrat: (round your final answer to four decimal places )
The number of ways to choose only republicans is 330. The number of ways to choose the committee consisting of 1 republican and 6 democrats is 5005. The number of ways to choose the committee consisting of 1 republican and 6 democrats is 55055.
The formula for this is ⁿCm is n!/((n-m)!*m!).
The number of ways to choose only republicans = ¹¹C₇ = 330
The number of ways to choose one republicans = ¹¹C₁ = 11!/((11–1)!*1!) = 11
The number of ways to choose six democrats is ¹⁵C₆ = 15!/((15–6)!*6!) = 5005.
The number of ways to choose the committee consisting of 1 republican and 6 democrats from 15 Democrats and 11 Republican is :
¹¹C₁ * ¹⁵C₆ = 11!/((11–1)!*1!) * 15!/((15–6)!*6!) = 11 * 5005 = 55055
There are 55055 possible committees consisting of 1 republican and 6 democrats.
The number of ways to choose four republicans = ¹¹C₄ = 11!/((11–4)!*4!) = 330
The number of ways to choose three democrats is ¹⁵C₃ = 15!/((15–3)!*3!) = 455
The number ow ways to choose the committee consisting of 4 republican and 3 democrats from 15 Democrats and 11 Republican is : ¹¹C₄ * ¹⁵C₃ = 330 * 455 = 150150
There are 150150 possible committees consisting of 4 republican and 3 democrats.
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Help me with this pls Before 6 pm pst if you can or I will be sad
Answer:
its called um srry dont know
Step-by-step explanation:
Answer:
Step-by-step explanation:
a−6
−
3
a+6
−
a2
36−a2
=
−2a4−3a3+54a2+108a+648
−a4+72a2−1296
=
(−a−6)(a−6)(2a2+3a+18)
(−a−6)(a−6)(a+6)(a−6)
=
2a2+3a+18
a2−36