What value of n will make (-5) × (-8) = n × (-5) a TRUE statement?
A) (-8)
B) 8
C) (-3)
D) 3
to make the statement true, n need to equal the same as what is on the left side, so n = -8
correct answer is A
one afternoon 1,656 people rode the ferris wheel at one time. the passengers were equally distributed among the cars. all chairs were taken. how many passengers were standing in each car ?
Find the sum and product of the roots. 3x 2 - 4x - 7 = 0
Answer:
Part 1) The sum of the roots is [tex]4/3[/tex]
Part 2) The product of the roots is [tex]-7/3[/tex]
Step-by-step explanation:
Step 1
Find the roots
we have
[tex]3x^{2}-4x-7=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]3x^{2}-4x-7=0[/tex]
so
[tex]a=3\\b=-4\\c=-7[/tex]
substitute in the formula
[tex]x=\frac{-(-4)(+/-)\sqrt{-4^{2}-4(3)(-7)}} {2(3)}[/tex]
[tex]x=\frac{4(+/-)\sqrt{16^{2}+84}} {6}[/tex]
[tex]x=\frac{4(+/-)10} {6}[/tex]
[tex]x1=\frac{4+10} {6}=7/3[/tex]
[tex]x2=\frac{4-10} {6}=-1[/tex]
Step 2
Find the sum of the roots
[tex]x1+x2=(7/3)-1=4/3[/tex]
Step 3
Find the product of the roots
[tex]x1*x2=(7/3)*(-1)=-7/3[/tex]
A rectangular floor is 6 yards long and 4 yards wide. What is the area of the floor in square feet? Please help!
The area of rectangle is 24 yards² or 216 square feet..
What is area of rectangle?The area of rectangle is the product if its length to its width.
i.e., Area of Rectangle= length x width
Given:
length= 6 yards
width= 4 yards
So, the area of rectangle
= l x w
= 6 x 4
= 24 yards²
= 24 x 9
= 216 square feet.
Hence, the area of rectangle is 24 yards².
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Which expression could be used to calculate the amount of tax on an item if the tax is 6 1/2% and the item is d dollars?
A) 6d
B) d/6.5
C) 0.65d
D) 0.065d
Answer:
i just did a quiz with this question and i got it right so its D.
Step-by-step explanation:
Order each set of values from least to greatest. 0.4,5/8,38%
If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?
It will take the man [tex]\( \frac{qx}{p} \)[/tex] minutes to run q miles at the same rate he runs p miles in x minutes.
Rate of running: The rate at which the man runs is given by the ratio of miles to minutes, which is [tex]\( \frac{p}{x} \)[/tex] miles per minute. This means he runs p miles in x minutes.Finding the time to run q miles: To find out how long it will take him to run q miles at the same rate, we use the formula:Time = [tex]\frac{\text{Distance}}{\text{Rate}}[/tex]
where Time is the time taken, Distance is the distance traveled, and Rate is the rate of running.
Substituting values: Substituting the given values, we have:Distance = q miles
Rate = [tex]\( \frac{p}{x} \)[/tex] miles per minute.
Therefore,
Time = [tex]\frac{q}{\frac{p}{x}}[/tex]
Simplify the expression: To simplify the expression, we can multiply the numerator and denominator by x to get rid of the fraction in the denominator:Time = [tex]\frac{qx}{p}[/tex]
Sara notices that she double paid her gas bill. What online service should she use? reject payment service request a stop payment transfer transaction withdrawal tool
Calculate the difference between the 1990-1997 average blue crab population and the 1998-2009 average blue crab population predict the average blue crab population for 2010-2020 and explain
To calculate the difference between the average populations, add the yearly populations and divide by the number of years for both periods, then subtract the first average from the second. To predict the 2010-2020 average, you could use trend analysis, a statistical method that identifies patterns in historical data.
Explanation:Before making any calculations, you need the blue crab population data for the specific years mentioned. To calculate the average, you sum up the individual yearly populations and then divide by the number of years. So, to calculate the average blue crab population from 1990-1997, you would add the population of each of these years and then divide by 8 (the number of years). For the period from 1998-2009, do the same but divide by 12. To determine the difference between these two averages, subtract the average for 1990-1997 from the average for 1998-2009.
To predict the average blue crab population for 2010-2020, you could use a statistical method known as trend analysis. This method involves identifying a pattern or trend in historical data and projecting this trend into the future. It’s important, though, to note that such methods can only predict based on the available data, and it may not account for unforeseen factors that could influence future populations.
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To calculate the difference between the average blue crab populations for the given time periods, add up the populations for each period and subtract them. However, predicting the average population for a future period requires additional data.
Explanation:To calculate the difference between the average blue crab populations for the given time periods, we need to find the average population for each period and then subtract them. Let's calculate:
1990-1997 average blue crab population: Add up the populations for each year (1990, 1991, ..., 1997) and divide by the number of years (8).1998-2009 average blue crab population: Add up the populations for each year (1998, 1999, ..., 2009) and divide by the number of years (12).To predict the average blue crab population for 2010-2020, we need more information about the population trends during that period. Without that information, we cannot accurately forecast the average population.Therefore, we can calculate the difference between the 1990-1997 average and the 1998-2009 average, but we cannot predict the average population for 2010-2020 without additional data.
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Which of the following are exterior angles?
Answer:
B,C, D ) angle 2, ,3,4 are exterior angles.
Step-by-step explanation:
Given : A figure .
To find : Which of the following are exterior angles.
Solution : We have given a figure of triangle
Exterior angle : An angle which are formed outside the closed figure,
We can see from the given figure angle 6 angle 5 , angle 1 are lies inside the triangle .
But Angle 2 , 4 ,3 are outside the triangle .
Therefore, B,C, D ) angle 2, ,3,4 are exterior angles.
The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use pi = 3.14
2 inches
4 inches
8 inches
9 inches
Answer: 2inches
Step-by-step explanation:
write a word problem that can be solved by ordering three decimals to thousandths. include a solution.
Which of the following could be a first step in correctly solving the equation below?
5(x-2)-2x=2
A.5(x-2)-2x+2=0
B.5(x-2)-2x=2-2x
C.5x-2-2x=2
D.5x-10-2x=2
The first step in solving the equation is to distribute the 5, making option D the correct choice, which results in 5x - 10 - 2x = 2.
Explanation:The first step in correctly solving the equation 5(x-2)-2x=2 would be to distribute the 5 into the parentheses of the left term. This action aligns with option D where the distribution results in 5x - 10 - 2x = 2. Doing so simplifies the equation and sets it up for further steps such as combining like terms and isolating the variable.
Miguel Rodriguez borrow 200 from his brother Julio to pay for books and tuition . He agreed to pay Julio 6!months with simple annual interest at 6.2% A)how much with the interest amount to ? B) what amount must Miguel pay Julio at the end of 6 months ?
To answer the problem, you must the formula in finding the interest and after that we will add it to the principal to get the future value.
The formula is: I = Prt
Interest = Principal x rate x time
= 200 x 0.062 x 6/12
= $6.2 is the interest for 6 six months.
Future Value = Principal + Interest
FV = 200 + 6.20
FV = $206.20 is the amount to be paid at the end of 6 months.
Select "Rational" or "Irrational" to classify each number.
Rational
Irrational
0.25
√0.25
√0.33
Answers
0.25 ⇒ It is rational
√0.25 ⇒ It is rational
√0.33 it is irrational
Explanation
a rational number is one that can be written as a ration. Or we can say that a rational number can be written as a/b where a and b are integers and b ≠0.
0.25 = 25/100
= 1/4
0.25 ⇒ It is rational.
√0.25 = 0.5
= 5/10
= 1/2
√0.25 ⇒ It is rational
√0.33 = 0.5744562664.......
This can not be written as a/b. So,√0.33 it is irrational
Final answer:
0.25 and √0.25 are rational numbers because they can be represented as ratios of integers, while √0.33 is an irrational number due to its inability to be precisely expressed as a fraction.
Explanation:
The question asks to classify each number (0.25, √0.25, √0.33) as either rational or irrational. The distinctions between rational and irrational numbers can be understood by recalling that rational numbers are those that can be expressed as a ratio of two integers, while irrational numbers cannot be exactly expressed as a fraction of two integers.
0.25: This can be expressed as the fraction 1/4, which is a ratio of two integers. Therefore, it is a rational number.
√0.25: The square root of 0.25 is 0.5, which can also be expressed as the fraction 1/2. Hence, this is also a rational number.
√0.33: This cannot be expressed as a precise fraction of two integers and its decimal representation is non-repeating and non-terminating. Therefore, it is an irrational number.
To classify, 0.25 and √0.25 are rational numbers because they can be represented as ratios of integers. √0.33 is considered an irrational number as it cannot be exactly expressed as a fraction.
at the library, you find 9 books on a certain topic. the librarian tells you that 55% of the books on this topic have been signed out. how many books does the library have a available on the topic?
To find the total number of books on a topic when 9 are available and 55% are signed out, set up a proportion and solve for 'x.' The calculation reveals there are a total of 20 books available on the topic.
Explanation:The student is asking how many books on a certain topic the library has available if 9 books are found and 55% of all the books on that topic have been signed out. To find the total number of books on the topic, we need to understand that the 9 books on the shelf represent 45% of the total books (100% - 55% = 45%). We can set up a proportion where 9 books is to 45% as the total number of books (let's call it 'x') is to 100% (the whole set of books on the topic).
Setting up the proportion, we have:
9 / 45% = x / 100%
To solve for 'x,' we cross-multiply and divide as follows:
9 * 100 = x * 45
900 = 45x
Now we divide both sides of the equation by 45 to find 'x':
x = 900 / 45
x = 20
Therefore, the library has a total of 20 books available on the topic.
A satellite 200 miles above the earth is orbiting the earth once every 4 hrs. How far does the satellite travel in 1 hr
Assume the radius of the the earth is ~4000 miles.
radius of orbit = 4000 +200 = 4200 miles
In 4 hrs it orbits 2Pi*r =2pi*4200= 8400pi miles
In 1 hr it would travel (8400pi/4 )
= 2100pi = 6597.3445 miles (exact value)
= 6597 miles ( approximate)
4 3/4 minus 5/8 in simplest form
A contiguous subsequence of a list s is a subsequence made up of consecutive elements of s. for instance, if s is
A contiguous subsequence of a list is a subsequence made up of consecutive elements.
Explanation:A contiguous subsequence of a list s is a subsequence made up of consecutive elements of s. For example, if s is [1, 2, 3, 4, 5], a contiguous subsequence could be [2, 3, 4].
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Calculate ∫ x3 dx. A. 3x2 + C B. x4/4 + C C. x2 D. x4 + C
"Please help"
Consider the following question:
What was the high temperature in Chicago yesterday?
Which BEST describes the question?
A) It is not a statistical question because the data is a single number.
B) It is a statistical question because the answer can be any number.
C) It is a statistical question because the answer is not known.
D) It is a statistical question because the answer is a measurement.
Answer:
A) It is not a statistical question because the data is a single number.
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary.
What was the high temperature in Chicago yesterday?
This is not statistical as its answer will not vary. It has been specifically asked that what was the HIGH temperature, so its answer will be a single value.
Rather, if it were to be a statistical question, it would have been - What was the temperature in Chicago throughout the day?
So, option A is correct.
A) It is not a statistical question because the data is a single number.
Understanding Statistical Questions
A statistical question is one that anticipates variability in the data and typically requires data collection and analysis. It often involves multiple observations or measurements that could vary.
Analysis of the Question
The question "What was the high temperature in Chicago yesterday?" is asking for a specific value — the high temperature on a particular day in a particular location.
Option A: It is not a statistical question because the data is a single number.
This seems correct because the question seeks one specific value rather than a range of values or a distribution.
Option B: It is a statistical question because the answer can be any number.
This is not quite accurate because, while the temperature could theoretically be any value, the question is asking for a specific single value.
Option C: It is a statistical question because the answer is not known.
The unknown nature of the answer doesn't necessarily make it a statistical question. Many non-statistical questions also have unknown answers that are single specific values.
Option D: It is a statistical question because the answer is a measurement.
Although the answer is a measurement, this alone does not make it a statistical question. It needs to involve data collected with variation.
Carl Cornfield took up bowling. He paid a $15.00 entry fee plus $8.00 a week for 16 weeks. He purchased a bowling ball for $94, a bag for $49.95, glove for $10.00, and a pair of shoes for $38.99. What was his cost before taxes?
Monica went to the fair and paid for her lunch as well as tickets to ride several rides. The expression 1.5x + 9 represents her total costs. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. (answers) ( 9,1.5, x, 1.5x)
Cost of lunch
Number of ride tickets
Total cost of ride tickets
When I double my number and add seven, I get what number?
Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2 - 3(x + 4) = 3(3 - x) one solution no solution infinitely many solutions cannot be determined
The given equation 2-3(x+4)=3(3-x) has no solution.
What is equation?An equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c.
It can be a linear equation, quadratic equation, cubic equation.
How to solve equation?We have been given an equation 2-3(x+4)=3(3-x) and we have to find the number of solution that equation posses. The easiest way of finding the number of solutions is that we will solve the equation.
Equation is as under:
2-3(x+4)=3(3-x)
2-3x-12=9-3x
-3x-10=9-3x
-3x+3x=9+10
Next step is cancelling of 3x and after that no variable will present in the equation. It shows that there are no solutions of the equation.
Hence there are no solutions for the equation 2-3(x+4)=3(3-x).
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It takes Joey 1/16 of an hour to write one thank you card. How many cards can he write in 3/4 of an hour?
What is 7√27+5√48 in simplified radical form?
The expression 7√27+5√48 in simplified radical form is [tex]41 \sqrt{3}[/tex] and this can be determined by using the arithmetic operations.
Given :
Expression -- 7√27+5√48
The following steps can be used in order to determine the simplified radical form of the given expression:
Step 1 - The arithmetic operations can be used in order to determine the simplified radical form of the given expression.
Step 2 - Write the given expression.
= 7√27+5√48
Step 3 - Rewrite [tex]\sqrt{27}[/tex] as [tex]3\sqrt{3}[/tex] in the above expression.
[tex]= 7 \times 3 \sqrt{3}+ 5 \sqrt{48}[/tex]
Step 4 - Rewrite [tex]\sqrt{48}[/tex] as [tex]4\sqrt{3}[/tex] in the above expression.
[tex]= 21 \sqrt{3}+ 20\sqrt{3}[/tex]
Step 5 - Simplify the above expression.
[tex]= 41 \sqrt{3}[/tex]
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Which problem can be solved using this inequality?
x + 5 ≤ 20
A) Beth is purchasing school supplies. She knows that the price for her pencil case is $5. She only has $20 to spend. How much money will she have left after buying the pencil case?
B) Beth is purchasing school supplies. She knows that the price for her pencil case is $5. She only has $20 to spend. What is the most amount of money she can spend on the remaining supplies?
C) Beth is purchasing school supplies. She knows that the price for her pencil case is less than $5. She only has $20 to spend. How much money will she have left to spend after buying the pencil case?
D) Beth is purchasing school supplies. She knows that the price for her pencil case is $5 more than the cost of a book bag. She only has $20 to spend. Does Beth have enough money to buy the pencil case and book bag?
Answer:
The answer would be b.
Step-by-step explanation:
An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter. 2 square meters 7 square meters 20 square meters 78 square meters
Help me with those screen
Answer:
1. D. irrational
2. A. 5
3. A. 16 and 25
4. A. 3 and four
Step-by-step explanation:
Hope this helps