The common side length of the paintings is 8 feet
What are areas?The area of a shape is the amount of space on the shape
How to determine what common side lengths could be?The given parameters are
Area of painting 1 = 24 square feet
Area of painting 2 = 32 square feet
Express the areas as the product of their factors
So, we have
24 = 2 * 2 * 2 * 3
32 = 2 * 2 * 2 * 4
Multiply the common factors
Common factors =2 * 2 * 2
Evaluate the product
Common factors = 8
This represents the common side length
Hence, the common side length of the paintings is 8 feet
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What is the difference in temperature from 15 degrees C to - 36 degrees C?
In a statistical study what is the difference between an individual and a variable? An individual is a member of the population of interest. A variable is a numerical measurement describing data from a sample. An individual is a member of the population of interest. A variable is a numerical measurement describing data from a population. An individual is the population of interest. A variable is an aspect of an individual subject or object being measured. An individual is a member of the population of interest. A variable is an aspect of an individual subject or object being measured. An individual is the population of interest. A variable is a numerical measurement describing data from a population.
The correct option regarding individuals and variables is given by:
An individual is the population of interest. A variable is an aspect of an individual subject or object being measured.
What are an individual and a variable in a statistics study?The individuals are the people or the objects in the study, that is, it is the population.The variables are characteristics regarding the individual, that can be numeric or not.Hence the correct option is:
An individual is the population of interest. A variable is an aspect of an individual subject or object being measured.
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a cyclist competing in a race rides past a water station. The graph of the function d(t) - 1/3 |t-60| represents her distance in kilometers from the water station in t minutes. What does the graoh of the function tell you about her race.
From the given absolute value function, we have that:
The cyclist starts 20 kilometers from the station.The cyclist reaches the station in 60 minutes.What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin.
For this problem, the function is:
d(t) = 1/3|t - 60|.
The d-intercept is given by:
d(0) = 1/3|-60| = 20.
Hence: The cyclist starts 20 kilometers from the station.
The t-intercept is found as follows:
1/3|t - 60| = 0
t - 60 = 0
t = 60.
Hence: The cyclist reaches the station in 60 minutes.
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A truck can be rented from Company A for $70 a day plus $0.20 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. Find the number if miles in a day at which the rental costs for Company A and Company B are the same.
At ___ miles, the rental costs are the same from either company.
The computation shows that the number of miles is 40 miles.
How to compute the value?Based on the information, Truck A will be: = $70 + 0.2m
Truck B = 50 + 0.7m
where m = number of miles
Therefore 50 + 0.7m = 70 + 0.2m
Collect like terms
0.7m - 0.2m = 70 - 50
0.5m = 20
m = 20/0.5
m = 40
The number of miles will be 40.
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Please help me with this. I will give an Brainly and bunch of extra points.
Eishhhh. The question is hard.
Answer:
I would say door one
Step-by-step explanation: I say this because he has a 50 % chance that the lady is behind door one, door one also says that the lady is supposedly back there while the tiger is behind the other door.While the other door says that there is a 50 % chance that there is a lion in the room or there could not be. That makes me think that door one has the lady behind it.
23. HURRICANES The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure when the eye of the hurricane passed over.
a. Write an addition equation to represent the situation.
b. What was the barometric pressure when the eye passed over?
The equation representing the situation is [tex]2.9+x = 29.7[/tex] where [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over and pressure is 26.8 inches of mercury.
As per the question, The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure that occurred when the eye of the hurricane passed over.
We are supposed to form an equation representing the situation and calculate the barometric pressure when the eye passed over.
Let's assume that [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over.
So using the concept of linear equation, we can form an equation as,
[tex]2.9+x = 29.7[/tex]
And pressure of barometric pressure when the eye of the hurricane passed over and pressure is
[tex]x=29.7-2.9\\x=26.8[/tex]
So 26.8 inches of mercury is the barometric pressure when the eye of the hurricane passed over.
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If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 152. T
B. 30². T
OC. 30. T
OD. 15. T
The area of Circle is 15∧2*π
Hence option A is correct.
According to the question the diameter of circle is 30 meters
we know,
diameter = radius*2
by using this we can say that the radius of the circle is 30/2
that is R = 15 meters
now According to the formula
Area of Circle = R*R*π
Putting the value of R into the formula by Substitution method
Area of circle = 15*15*π
hence by this we can say that,
Area of circle = 15∧2*π
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Identify the property used in each step of solving the inequality
,,,,step ,,,,,,,,,,,,,,,, justification
3x – 2 > –4. |||||||1. given
3x > -2. |||||||||||||||| 2. _____
x>- 2/3 ||||||||||\|||||3. _____
The algebraic property used in steps 2 and 3 are respectively Addition Property of Equality and Division Property of Equality.
What is the algebraic property used?
We are given the inequality;
3x – 2 > –4
Step 2;
Using Addition Property of Equality, add 2 to both sides;
3x – 2 + 2 > –4 + 2
3x > –2
Step 3;
Using Division Property of Equality, divide both sides by 3 to get;
3x/3 > –2/3
x > –2/3
Thus, we conclude that the algebraic property used in steps 2 and 3 are respectively Addition Property of Equality and Division Property of Equality.
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Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 14 steps
forward, and Shaunte walked 5 steps backwards. Which expression correctly represents the distance between the friends?
O 14+1-51 19 steps
O 14+5=19 steps
O-141 +1-51 = 19 steps
O-141+5=19 steps
Answer:
B
Step-by-step explanation:
because is joy walked 14 steps and her friend walks 5 steps the answer is 19 steps 14+5=19
Find the circomference of the circle
Answer:
18.84
Step-by-step explanation:
What number is the opposite of 913?
Answer:
918 , bc it is the answer
Step-by-step explanation:
i used a source
Given the following values, find the perimeter of the figure shown below:
AB = 7 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm.
Do not include "cm" with your response.
Answer:
26
Step-by-step explanation:
First, split the figure into 3 rectangles and label the sides so that it is easier to work with.
Then you have to find the unknown values: HG and AH.
HG: Since AB=7 and AB is the longest horizontal side; we know that HG+EF+CD=AB=7. Plugging in the known values: HG+3+1=7 => HG+4=7. Therefore, HG=3 because 3+4=7.
AH: BC and FG are the corresponding sides to AH so AH+FG=BC. Plugging in the known values: AH+1=3. Therefore, AH is 2 because 2+1=3.
Now you have to use the perimeter of rectangle formula which is P=2(L+w) for the 3 rectangles.
Rectangle 1: 2(3+2)=10
Rectangle 2: 2(3+1)=8
Rectangle 3: 2(3+1)=8
Add them all up to find the total perimeter: 10+8+8=26.
how many fix points are there for the function f (x) =x^3
The fix points of the function f (x) = x³ are,
⇒ x = 0, x = 1 and x = -1
What is fixed point of a function?
The fixed point of a function is determine by solving the function
f (x) = x.
The function is given as;
⇒ f (x) = x³
Since, The fix point of a function is determine by solving the function
f (x) = x
Hence, we can solve as;
f (x) = x
x³ = x
x³ - x = 0
x ( x² - 1 ) = 0
x ( x² - 1² ) = 0
x ( x - 1 ) ( x + 1 ) = 0
Equate each term to zero,
x = 0
x - 1 = 0 ⇒ x = 1
x + 1 = 0 ⇒ x = -1
Therefore, The fix points of the function f (x) = x³ are,
⇒ x = 0, x = 1 and x = -1
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. Communicate and Justify Rafael's
mom buys 6 packages of water balloons
for a party Each package has 24 water
balloons Rafael says that there are 204
water balloons in all. Do you agree with
Rafael? Why or why not?PLEASE HELP:(
I disagree with Rafael's as 204 is incorrect, the correct number of balloons is 144 balloons
How to calculate the number of balloons ?Water ballon is a type of ballon that is filled up with water. It is used by children during different outdoor and relaxation activities.
Rafael's mum buys 6 packages of water balloons for a party
Each package has 24 water balloons
Therefore the total number of balloons can be calculated by multiplying the number of packages which is 6 by the number of balloons which is 24
= 24 × 6
= 144
Hence the are 144 water balloons
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Solve the following equation. 2x/5 + 1 = 7Then place the correct number in the box provided.
Answer:
[tex] \sf \large \: x=15[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
2x/5+1=7
Step 1: Simplify both sides of the equation.
2/5x+1=7
Step 2: Subtract 1 from both sides.
2/5x+1−1=7−1
2/5x=6
Step 3: Multiply both sides by 5/2.
(5/2)*(2/5x)=(5/2)*(6)
x=15
What do the terms -4x and -4x combine to?
The area of a
parking lot is 600 square meters. A car requires 6 square
meters. A bus requires 30 square meters. The attendant can handle only
60 vehicles. If a car is charged $2.50 and a bus $7.50, how many of each
should be accepted to maximize income?
The number of cars should be 100 and that of bus be 0.
x is the number of cars and y is the number of buses.
Area: 6x + 30y <= 600 simplifies to x + 5y <= 100
Total money collected: 2.50x + 7.50 y …..this is what you want to maximize
OR you want to maximize 2.50 (x+ 3 y)
OR you want to maximize (x+3y)
Replacing the value of x from the Area equation in the above price, we get
100 - 5y + 3y is the maximum amount you can collect
So you want to maximize 100 - 2y. This happens when y is 0.
When y is 0; x will be 100 and you will collect 250.
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Value of of x such that f(x) = g(x)
The Value of of x such that f(x) = g(x) are -3, 0, 4 and 7
The graph given in the question shows two curves of two different functions f(x) ang g(x)
Here, we need to find the value ox such that f(x) =F g(x)
For this we need to look at the graph of both the function together find the intersection points of both the graph
This is coordinate geometry
We can see that there are 4 points at which the curves are intersecting
We can find the coordinates of these 4 points from the graph
First point ( -3, 4)
Second point (0,3)
Third point (4 , 3)
The fourth and the last point ( 7, 4)
The x coordinates of the intersection points are the values of x such that f(x) = g(x)
Hence, The Value of of x such that f(x) = g(x) are -3, 0, 4 and 7
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You are borrowing $10840 to buy a car. If you pay the loan off in 6 years (72 months), estimate your monthly payment by ignoring interest and rounding the loan to the nearest hundred dollars.
If we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , our monthly payment will be $150.55 or rounded of $200.
As per the question statement, we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , what will be the estimate monthly payment by rounding off to the nearest hundred dollars
First we are supposed to find the monthly payment then we can round it off to the nearest hundred dollars.
Total loan borrowed = $10840
Time taken to pay it off = 6 years or 72 months,
Payment to be made per month = [tex]\frac{10840}{72} \\ 150.5556[/tex]
Therefore [tex]150.5556[/tex] dollars is to be paid every month for 72 months.
After rounding off to the nearest hundred dollars we will get $200.
Hence we are supposed to pay approximately $200 every month for 72 months.
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Data were collected from a typing class with 45 students. The class had an average of 56 words per minute (WPM)
with a standard deviation of 7 WPM. The teacher realized that the data from one student who typed 55 WPM was
not entered. If this student's results were included in the data set, what effect would it have on the standard
deviation?
O The standard deviation would be noticeably larger.
O The standard deviation would be noticeably smaller.
O The standard deviation would be about the same, perhaps a little larger.
O The standard deviation would be about the same, perhaps a little smaller.
The correct option regarding the standard deviation of the data-set adding observation 55 is:
The standard deviation would be about the same, perhaps a little smaller.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For this problem, we have that an observation of 55 has a difference squared of 1 with the mean, which is less than the variance of 7² = 49, hence the mean of the differences squared would suffer a small decay(small due to the sample size), and would the standard deviation, hence the correct option is given by:
The standard deviation would be about the same, perhaps a little smaller.
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Answer:
No, its A: The standard deviation would be noticeably larger. I swearrr, these "verified" accounts are so useless bru
8/12 divided by 9/12
20 POINTS!! Question is in the picture, correct answer= brainest
Answer: 0.1111111111
what can be the words type question on the following topics.
algebra and hcf and lcm
at least 13
for 50 point
please dont joke
Answer:
(i) Find the smallest number which, on being added 23 to it, is exactly divisible by 32, 36, 48 and 96.
(ii) Find the least length of a rope which can be cut into whole number of pieces of lengths 45 cm, 75 cm and 81 cm.
(iii) Find the greatest number of 4-digits which is exactly divisible by 40, 48 and 60.
(iv) What is the least number of saplings that can be arranged in rows of 12, 15 or 40 in each row?
(v) 210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?
(vi) A certain number of students can be arranged in groups of 3, 4, 6 or 8 with no student left behind. Find the number of students.
(vii) The local bus service has 2 lines of buses that start together at 8 a.m. Buses on line A leave after every 15 minutes while Buses on line B leave after every 20 minutes. In a day, how many times do buses on both line A and B leave together between 8 a.m. and 11 a.m.
(vii) Three painters Ron, Victor and Shelly are painting the rooms of a hotel which are numbered from 15 – 200. Ron has to work in all the rooms. Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5. In which rooms will they all work together?
(ix) Sara goes to the shopping mall every 6th day. Andy goes to the same shopping mall every 7th day. How many times will they meet in the mall in the month of December and January if we start counting from 1st December?
x) The HCF of two numbers is 6, if one of the numbers is 42, find the other number?
(xi) Find the greatest number of 5-digits which on being divided by 9, 12, 24 and 45 leaves 3, 6, 18 and 39 as remainders respectively
Sam can jump 4 steps at a time and Nina can jump 5 steps at a time. On which of the steps will both meet if both start jumping together?
(xii) Mary has a dance class every 2nd day and painting class every 3rd day. On which of the day will she have both the classes?
(xiii) Find a multiple of 70 which is between 200 and 600 which has odd digits at tens and hundreds place.
(xiv) Find a multiple of 120 which lies between 400 and 500 where the digit at tens place is double the digit at hundreds place.
I need to create a linear equation that must equal -8 and have variables on both sides and it must require distribution to a linear binomial to be sober it must require combing like terms on one side of the equation to be solved please help I need it written out showing solving steps thank you.
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
Answer:
wow u can really dance
Step-by-step explanation:
can i have all these answers pls
Marty is adding ribbon to the outer edge of the poster shown. How should Marty use estimation to make
sure he buys enough ribbon? How much ribbon should
Marty buy? Explain.
33
22 dimes and 9 nickels
x equals 1
f(4)=f(×)
x=1
3,200x7.253,200 x .0725 = $232 interest monthly
232monthly x 12annual= 2, 784
answer: 33 ( approx)
In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed). It is not the same as a fee that the borrower might pay to the lender or another entity. Interest advance, but rather on a pro-rata basis as a share of the reward received by risk-taking business people when revenue is earned that exceeds all costs.
For Interest, a customer who borrows money from a bank typically pays interest on it, so they pay the bank more than they borrowed; likewise, a customer who earns interest on their savings may withdraw more than they originally put. When it comes to savings, the bank serves as the borrower while the consumer serves as the lender.
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Scaling a Rectangle
A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.
Scale factor back to original size = 1/7
The transform object is a mathematical mapping from one coordinate system to another. The coordinate system can differ in position (i.e. origin), scale, axis orientation, and relative axis orientation. We are told that the rectangle has been scaled by a factor of 7. This means that if the length and width are x and y respectively, the new scaled measurements will be;7x and 7 years.
Now, to get us back to the original size, all we have to do is divide the new scale measure by a factor of 7.This means the original size will be;
Length = 7x × 1/7
Width = 7y × 1/7
Hence, the scale factor will be 1/7 back to the original size.
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Jamaal puts $4100 in a savings bank account. The interest rate on the account is 1.8% compounded quarterly.
How much interest does Jamaal earn after a year?
The compound interest earned by Jamaal after a year is $4174.30.
What is defined as the compound interest?Compound interest essentially means that the interest on a bank account, lending, or investment grows exponentially over time rather than linearly.Compound interest advantages investors, but the term "investor" can mean a variety of things. Banks, for example, profit from compound interest once they lend money as well as reinvest the interest received in making more loans.The formula for finding the compound interest is;
CI = p( 1 + r/n)∧nt
where p is the principal amount = $4100.
r is the rate of interest = 1.8% = 0.018.
t is the total time in years = 1 year.
n is the number of time interest given = 4 times.
Put the values;
CI = 4100( 1 + 0.018/4)∧4(1)
CI = 4100×1.018
CI = 4174.30
Thus, the amount of compound interest earned by Jamaal earned after an year is $4174.30.
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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.4Mbps. The complete list of 50 data speeds has a mean of x=16.69Mbps and a standard deviation of s=18.88Mbps.
a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
the difference between two numbers is -1. their sum is -27. find the numbers. let x represent the first number and y represent the second number. solve using system s of equations.
Answer: x = -14, y = -13
Step-by-step explanation:
As stated by the question, we can use a system of equations to help us solve.
First, the difference between two numbers (x and y) is -1. The difference represents subtraction.
x - y = -1
Next, the sum of the numbers (x and y) is -27. The sum represents addition.
x + y = -27
Now, we can solve this system. We will graph both of the equations. The point of intersection is the solution, see attached. This gives us an answer of x = -14 and y = -13.
x - y = -1
x + y = -27