Answer:
No
Explanation:
To determine if the side lengths could form a triangle, we use the triangle inequality.
By the triangle Inequality, If the sum of the lengths of any two sides is greater than the third side, then they can form a triangle.
Given the side lengths: 16m, 21m, 39m
\(\begin{gathered} 16+21>39 \\ 37>39\text{ (False)} \end{gathered}\)Similarly:
\(\begin{gathered} 16+39>21 \\ 55>21\text{ (True)} \end{gathered}\)Finally:
\(\begin{gathered} 39+21>16 \\ 60>16\text{ (True)} \end{gathered}\)• We see that ,the sum of the two lengths (16 and 21) is not greater than the third side 39.
,• Although the other two cases hold, the three cases must hold for it to form a triangle.
Thus, the side lengths cannot form a triangle.
If 10 pants cost 240u.m, how much will 8 pants cost?
8 pants wil cost 192 u.m.
Step-by-step explanation:1. Establish a rule of 3.10 pants ----> 240u.m
8 pants ----> x
2. Solve for x.In a rule of 3, whenever the x is located at the bottom right corner, you always have to multiply upwards and to the right, and then divide the resulting number by the number on the top left. This is the operation you need to make:
x= (8 x 240) / 10
x= 192
Check the attached image to get a better understanding of this process.
3. Conclude.
8 pants wil cost 192 u.m.
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Proportional quantities are divided into directly and inversely proportional.
Two magnitudes are said to be directly proportional
when we multiply one of them by a number, the other is multiplied by the same number, and when we divide one of them by a number, the other is divided by the same number.
Problem :
If 10 pants cost 240u.m, how much will 8 pants cost?
We have:
\(\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \bold{ Assumption \: { \rightarrow} 10 \: pants \: \rightarrow 240 \: u.m\\\sf \: \: \: \: \: \: \: \: \: Question \rightarrow8 \: pants \rightarrow \: x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }\)
As can be seen, the number of pants and the cost are magnitudes directly proportional, and therefore, we put the + sign below the pants and the - sign above.
Therefore we will have:
\(\boxed{ \bold{ \: x = \dfrac{240 * 8}{10} = 192 \: u.m} }\)
So the 8 pants cost 192.
Using the quote, "Those of us on the margins wonder if our stories matter" what is the significance of the quoted text?
The significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality.
What is a quote?Quote means to cite something as a form of proof. It has several other senses as a verb and a noun. It should be noted that to quote something or someone is to repeat the exact words they said or to recite the exact words written in a book.
Great speakers often quote other inspiring people when making speeches. When you quote, you include the words and ideas of others in your text exactly as they have expressed them.
You signal this inclusion by placing quotation marks (“ ”) around the source author's words and providing an in-text citation after the quotation.
In this case, the significance of the quoted text is to illustrate the less privileged in an overwhelmingly crowded and disordered chronological reality. A quotation is the repetition of a sentence, phrase, or passage from speech or text that someone has said or written.
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A submarine descended 32 feet below the surface of the ocean. It then rose 15 feet o look at a shark. Write a solution using integers and solve to find the current depth of the submarine. (Answer should be negative)
Solution and Answer:
Answer:
-32+15= -17ft
Step-by-step explanation:
when substracting integers with different signs, you substract and keep the sign of the higher number. 32-15=17 and the higher number which is 32 has a negative sign so -17.
Help meeeeee
whats 1/2+3/4+3/8 who ever helps is awesome
Answer:
13/8
Step-by-step explanation:
1/2+3/4+3/8
denominator should be 8
4/8+6/8+3/8
add
13/8
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Math
Ryann Freeman
The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue
candies in the bag, how many red candies are there?
Answer:
25
Step-by-step explanation:
if four is the ratio of blue to five then divide four by 20 blue because thats the number your finding and you get 5 so then you multiply 5 by 5 and you get 25
Answer:
25
Step-by-step explanation:
Divide 4 by 20 to get 5. Then multiply 5 by 5 to get 25.
a. NewBank started its first day of operations with $155 million in capital. A total of $92 million in checkable deposits is received. The bank makes a $28 million commercial loan and lends another $23 million in mortgage loans. If required reserves are 5.4%, what does the bank balance sheet look like?
b. Suppose NewBank decides to invest $273 million in 30-day T-bills. The T-bills are currently trading at $4,981 (including commissions) for a $4,940 face value instrument. How many T-bills do they purchase? What does the balance sheet look like?
The balance sheet attached shows the Total Assets to be $55.968M and Total Liabilities and Capital to be $252M respectively.
Understanding Balance Sheet1. Assets:
a. Cash in Reserves:
The required reserves are 5.4% of checkable deposits.
Therefore, the required reserves amount to 5.4% of $92 million, which is:
(0.054 * $92 million) = $4.968 million.
This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.
b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:
total loan = $28 million + $23 million
= $51 million.
2. Liabilities:
a. Checkable Deposits:
The bank received $92 million in checkable deposits.
b. Required Reserves:
As mentioned above, the required reserves amount to $4.968 million.
3. Capital:
The bank started with $155 million in capital.
Based on the above information, the bank's balance sheet would look as attached.
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Mr Wilson saved $2,500 to buy airline ticket for his family he bought 6 airline ticket for $378 each how much saving does mr Wilson have after he buys the ticket?
Answer:
he bought 6 tickets for 372 each
so 372 *6 = 2232 total cost of tickets
2500 - 2232 = $268 left after buying the tickets
Step-by-step explanation:
see picture.. see picture..
Check the picture below.
(will give brainliest for first answer) Indicate YES or NO as to whether the transformation will map hexagon ABCDEF onto itself.
A. Reflecting over AC¯¯¯¯¯
B. Reflecting over BE¯¯¯¯¯
C. Rotating 120° counterclockwise about point X
D. Rotating 240° clockwise about point F
Answer:
I believe it is A or D
Step-by-step explanation:
I took this a while ago I can't remember the answer fully, but I believe it's a or d
35% of what is 28?............
35% of 80 is 28.
Answer is 80.
what is the value of x in the equation 1/2x - 2/3 y = 30, when y = 15
Answer:
Step-by-step explanation:
1/2x - 2/3 × 15 = 30
1/2x - 10 = 30
1/2x = 30 + 10
1/2x = 40
x = 40 × 2
x = 80
hope this helps
plz mark it bas brainliest!!!!!!!!!
A rectangular sticker has an area of 55 square mm and a perimeter of 32 mm. What are the dimensions of the sticker
The calculated dimensions of the sticker are 11 mm by 5 mm
How to determine the dimensions of the stickerFrom the question, we have the following parameters that can be used in our computation:
shape = rectangle
perimeter = 32 mm
Area = 55 square mm
Represent the dimensions of teh sticker with x and y
So, we have
Area = xy
Perimeter = 2(x + y)
substitute the known values in the above equation, so, we have the following representation
xy = 55
2(x + y) = 32
So, we have
xy = 55
x + y = 16
When x = 11 and y = 5, we have
11 * 5 = 55
11 + 5 = 16
Hence, the dimensions of the sticker are 11 mm by 5 mm
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an algebraic expression and simplify if possible: the product of −3 and 15.
The Algebraic expression -3 * 15 simplifies to -45.
The product of -3 and 15 can be represented algebraically as (-3) * 15.
To simplify this expression, we can perform the multiplication operation:
(-3) * 15 = -45
Therefore, the product of -3 and 15 simplifies to -45.
In the given expression, we have multiplied -3 by 15, resulting in a negative value since one of the factors is negative. Multiplying a negative number by a positive number yields a negative product.
So, the algebraic expression -3 * 15 simplifies to -45.
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Will give BRAINLIEST to answer these three questions
Answer:
2.Post Office, Library, Park, Town Hall
3.2/6, 3/9, 4/12, 6/18
4. less than 1/2 in.: 1/8, 5/16
equal to 1/2 in.:8/16
more than 1/2 in.:5/8, 9/16, 15/16
Step-by-step explanation: Comment if you want the explanation.
Find P B H L and then L.A S.A and Volume
Therefore, the perimeter of the base is 40 km, the base area is 100 km², the height is 12.1 km, the slant height is approximately 15.12 km, the lateral area is approximately 75.6 km², the surface area is approximately 175.6 km², and the volume is approximately 403.33 km³.
What is volume?Volume is a measure of the amount of space occupied by a three-dimensional object. It is usually expressed in cubic units, such as cubic meters (m³) or cubic feet (ft³). The formula for calculating the volume of simple shapes, such as cubes, rectangular prisms, cylinders, and spheres, can be derived from their respective dimensions.
Here,
To find the perimeter, base area, height, slant height, lateral area, surface area, and volume of a pyramid with base side 10 km and height 12.1 km, we can use the following formulas:
Perimeter of the base = 4 × base side
Base area = (base side)²
Height = height of the pyramid
Slant height = √((base side/2)² + height²)
Lateral area = (base side/2) × slant height
Surface area = Base area + Lateral area
Volume = (1/3) × Base area × height
Substituting the values given, we get:
Perimeter of the base = 4 × 10 km
= 40 km
Base area = (10 km)²
= 100 km²
Height = 12.1 km
Slant height = √((10 km/2)² + (12.1 km)²
≈ 15.12 km
Lateral area = (10 km/2) × 15.12 km
≈ 75.6 km²
Surface area = Base area + Lateral area
= 100 km² + 75.6 km²
≈ 175.6 km²
Volume = (1/3) × Base area × height
= (1/3) × 100 km² × 12.1 km
≈ 403.33 km³
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Solve for t in 2^t²- t= 4
Answer:
t= -1/2 ,t=4
Step-by-step explanation:
2t^2- t -4 =0
2t^2 - 8t+t -4=0
(we have to find the factor here. I have used The Product Sum method of factorization)
2t( t-4) + 1( t-4)=0
(2t+1) (t-4)=0
t= -1/2 ,t=4
FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
Ally wants to attend a Broadway show but needs to figure out a way to get into Manhattan. She wants to take a yellow taxi to Manhattan. The yellow taxi charges $1.75 flat rate in addition to $0.65 per mile. Ally has no more than $10 to spend on a ride. How many miles can Ally ride the yellow taxi without going over her budget? Label a variable, write an inequality that represents the number of miles, solve the inequality and leave your answer as an exact decimal. PLS!
Answer:12.6923076923
Step-by-step explanation:for starters u have to subtract 1.75 out of 10 dollars after that u have to divide 8.25 which is the left over of 1.75 minus 10 after u divide u should get 12 if u round but since u want the full decimal thinggy it is 12.6923076923
Sienna shares half of a pizza equally among herself and 3 friends. What fraction of the whole pizza will each friend get? *
You are preparing to buy a house. Your monthly gross income is $3,200. a. What is the maximum amount you can finance (mortgage)? (4 points)
The maximum amount you can finance is $896.
We are given that;
The monthly gross income = $3,200
Now,
28% of your gross monthly income on your mortgage, including taxes and insurance
The percentage = 28%
3200* 28/100
=32*28
=896
Therefore, by percentage the answer will be $896.
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hiii please help
a- each person who takes a drink from the cooler drinks approximately ately 24 oz of water
b- the water cooler started off with 648 oz of drink in it
c- there are 24 people who take a drink from the cooler
d- each of the 24 who take a drinks from the cooler drinks 1oz
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The 164° and 81° located with the angle x at a point indicates that the size of the angle x is 115°
What is the sum of angles at a point?The angles that are arranged around a point add up to 360°. The angles at a point are the angles which together, produce a rotation of 360°.
The sum of angle at a point can be used to find the measure of the angle x as follows;
The addition of angles at a point = 360°
Therefore; 164° + 81° + x = 360°
Therefore; x = 360° - (164° + 81°) = 115°
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Help! I'll give brainliest to first correct answer.
1 to A
2 to C
3 to B
4 to D
and that's all
Five more than the product of a number and six is equal to nine
Answer:
Think about the PEMDAS rules for order of operations.
Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.
simplify
3x^2+ 13x – 10
9x^2 - 4
Considering the given fraction, the simplified expression is as follows:
\(\frac{x + 5}{3x - 2}\)
How to simplify a fraction?In this problem, we have a fraction, in which:
The top term is called the numerator.The bottom term is called the denominator.To simplify the entire fraction, we must factor both the numerator and the denominator, and then simplify, that is, eliminate, the common terms.
The numerator is given as follows:
3x² + 13x - 10
It can be factored as:
(3x - 2)(x + 5).
This is because x = 2/3 and x = -5 are the roots of the numerator.
The denominator is given by:
9x² - 4.
It can be factored as:
(3x + 2)(3x - 2)
Applying the subtraction of perfect squares.
Hence the simplified expression is:
\(\frac{3x^2 + 13x - 10}{9x^2 - 4} = \frac{(3x - 2)(x + 5)}{(3x + 2)(3x - 2)} = \frac{x + 5}{3x - 2}\)
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Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1 and the average expenses incurred for accidents is $38,000. If an insurance plan has a yearly premium of $1,000 and a deductible of $4,000, the expected value per accident to each insured motorist is -$ and the expected value per accident-related claim to the insurance company for every customer is -$
Answer:
$1,200 and $409
Step-by-step explanation:
Select the correct answer. If 20% of a number is 35, what is 50% of that number?
Question 2 of 10 Suppose a population consists of 5000 people. Which of the following numbers of members of the population being surveyed could result in a sample statistic but not a parameter ? A. Both 50 and 5000 B. 50 C. Neither 50 nor 5000 D. 5000
Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50
What is the Sample Statistic?
A sample statistic is a piece of information you get from a fraction of a population.
A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).
Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.
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algebra domain and range please help
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)