The perimeter of the rectangle with four times longer in length than its width and an area of 400 cm2 is 100 cm.
To solve this, let's assume the width of the rectangle is w centimeters. This would make the length 4w centimeters. Since the area of a rectangle is given by the product of its length and width, we have:
w x 4w = 400
Solving for w, we find that w2 = 100, so w = 10 cm.
Hence, the length is 4 x 10 = 40 cm.
The perimeter of a rectangle is given by the formula 2l + 2w, so substituting in our values:
Perimeter = 2(40) + 2(10) = 80 + 20 = 100 cm.
Therefore, the perimeter of the rectangle is 100 cm.
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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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
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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We bought five 3 3/4 pound bags of bird seed. A. What is the total weight of the birdseed they bought? B. If each smaller bag contains 1 1/2 pounds, how many bags can they make? C. Will there be any birdseed
Left over? .
Answer:
We bought five 3 3/4 pound bags of bird seed.
A :
Total weight is = [tex]3\times(\frac{3}{4} )=\frac{9}{4}[/tex] pounds of bird seed.
In mixed fraction it is : [tex]2\frac{1}{4}[/tex] pounds
B :
As given, each smaller bag contains 1 1/2 pounds, so 9/4 pounds can make:
=[tex]\frac{\frac{9}{4}}{\frac{3}{2}}[/tex]= 18/12 = 3/2 bags
C :
We can make 1 full bag and will have left out enough for half of another bag. Half of a 3/2 pound is :
[tex]1/2(3/2)[/tex] = 3/4 of a pound.
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.
Julie is selling candy bars to raise money for new band uniforms. Candy bar X sells for $2 and candy bar Y sells for $3. Julie needs to sell at least three times more Y candy bars than X candy bars. She has at most 36 candy bars to sell. Which objective function can be used to find the profit P that Julie makes from selling the candy bars?
A) P = x + y
B) P = 36xy
C) P = 2x + 3y
D) P = 3x + 2y
Answer:
Answer is C [tex]P = 2x + 3y[/tex]
Step-by-step explanation:
Selling price of candy bar X =$2
Selling price of candy bar Y =$3
So if Julie sells x from X candy bars and y bars from Y candy bars,
Profit made from selling X candy bars = [tex]2\times x[/tex]
Profit made from selling Y candy bars = [tex]3\times y[/tex]
Therefore, assuming that there is no cost for the candy bars the profit by selling candy bars can be represented by the following objective function:
[tex]P = 2x + 3y[/tex]
Therefore, answer is C
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:
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 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
Which of the following expressions is in simplified form?
A) 1 1/2n + 2.9n
B) 4w - 5
C) -2 + 1.4m + 0.5
D) 9j - 3 - j
Answer:
B. Is the Answer Because its the only one that is simplified.
Step-by-step explanation:
Have A Nice Day!
A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minutes
Answer:
x = [tex]\frac{2}{3}\times t[/tex]
Step-by-step explanation:
We know the formula to represent the speed is,
Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
If a car travels the distance = [tex]\frac{7}{3}[/tex] miles in [tex]\frac{7}{2}[/tex] minutes then the speed will be
Speed = [tex]\frac{\frac{7}{3}}{\frac{7}{2}}[/tex]
= [tex]\frac{7}{3}\times \frac{2}{7}[/tex]
= [tex]\frac{2}{3}[/tex] miles per minute
If the car travels x miles in t minutes then the equation to calculate the distance will be
[tex]\frac{2}{3}=\frac{x}{t}[/tex]
x = [tex]\frac{2}{3}\times t[/tex]
Therefore, the equation that represents the distance in terms of time will be
x = [tex]\frac{2}{3}\times t[/tex]
Ken watches a marching band. He sees 2 rows of flute players. Six people are in each row . He sees 8 trombone players. How many flute players and trombone players does Ken see?
Use compatible numbers to find two estimates 336 divided by 12
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:
A normal distribution in which approximately 68% of the data values fall within one standard deviation of the mean behaves according to
Final answer:
The normal distribution in question behaves according to the Empirical Rule, which states that about 68% of the data falls within one standard deviation of the mean in a bell-shaped, symmetric distribution. This percentage changes to about 95% within two standard deviations and over 99% within three standard deviations.
Explanation:
A normal distribution in which approximately 68% of the data values fall within one standard deviation of the mean behaves according to the Empirical Rule. This is a key concept of descriptive statistics that applies specifically to bell-shaped, symmetric distributions. According to the rule, about 68 percent of the data lies within one standard deviation of the mean, about 95 percent lies within two standard deviations, and over 99 percent lies within three standard deviations.
For example, if a distribution has a mean (μ) of 50 and a standard deviation (σ) of 6, then approximately 68 percent of the values (x) would lie between 44 (50 - 6) and 56 (50 + 6). These points are one standard deviation away from the mean and correspond to the z-scores of -1 and +1, respectively. It is important to remember that this rule only applies when the distribution is perfectly bell-shaped and symmetric.
4 3/4 minus 5/8 in simplest form
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?
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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1. which expression is equal to (f+g) (×) f (x)=x^2+3;g (x)=x-1
A. x^3-3
B.x^2-2x+4
C. x^2+x+2
D. x^3-x^2+3x-3
2. which expression is equal to (fog)(x)
f (x)=3x; g (x)=4x^2+1
A. 12x^3+3x
B. 4x^2+3x+1
C.12x^2+3
D. 36x^2+1
3. f (x)= 2x-8; g (x) = x-5
what is the value of (gof)(6)
a. -6
b. -1
c. 1
d. 6
4. f(x) =5x-10 what is the value of f^-1 (-3)
a. -5
b. 1.4
c. 9.4
d. -25
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:
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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Dan bought 5 1/4 gallons of gas on Friday and 6 1/2 gallons of gas on Saturday. How many liters of gas did he buy? Assume 1 gallon = 3.8 liters.
Answer:
Dan bought 44.65 liters of gas.
Step-by-step explanation:
The gas Dan bought on Friday and Saturday in gallons is
[tex]5\frac{1}{4}+6\frac{1}{2}[/tex]
[tex]=\frac{21}{4} +\frac{13}{2}[/tex]
We collect LCM for the denominators,
[tex]=\frac{21+26}{4}[/tex]
[tex]=\frac{47}{4}[/tex]gallons
We now convert to liters using the relation,
[tex]1\:gallon=3.8\: liters[/tex]
Let [tex]\frac{47}{4}\:gallons=x\:liters[/tex]
Then,
[tex]x=3.8\times \frac{47}{4}[/tex]
[tex]x=\frac{38}{10}\times \frac{47}{4}[/tex]
[tex]x=\frac{19}{5}\times \frac{47}{4}[/tex]
[tex]x=\frac{893}{20}=44.65[/tex]
Therefore Dan bought 44.65 liters of gas.
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)
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
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 ?
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.
write a word problem that can be solved by ordering three decimals to thousandths. include a solution.
Calculate ∫ x3 dx. A. 3x2 + C B. x4/4 + C C. x2 D. x4 + C
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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"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.