The correct system of equations to find the dimensions of the squares is option A: x + y = 32 and x - y = 8.
Explanation:To find the dimensions of the squares, we can set up a system of equations. Let x represent the side length of the larger square and y represent the side length of the smaller square.
The sum of the perimeters is given as x + y = 32. The difference between the perimeters is given as x - y = 8.
So, the correct system of equations to find the dimensions of the squares is option A: x + y = 32 and x - y = 8.
The correct system of equations to find the dimensions of the squares is x + y = 32 and x - y = 8. Solving this system using the method of elimination gives us the dimensions of the squares: 20 cm for the larger square and 12 cm for the smaller square.
Explanation:The correct system of equations to find the dimensions of the squares is:
x + y = 32
x - y = 8
To solve this system, we can use the method of elimination. Adding the two equations will eliminate the y terms, allowing us to solve for x.
Adding the equations:
x + y + x - y = 32 + 8
2x = 40
x = 20
Substituting the value of x back into one of the original equations, we can solve for y.
Using the equation x + y = 32:
20 + y = 32
y = 12
Therefore, the dimensions of the larger square are 20 cm, and the dimensions of the smaller square are 12 cm.
An auditorium has 25 rows with 45 seats in each row, how many seats are there in all?
What is 4 feet to inches?
as the fish-and-game warden of your township, you are responsible for stocking the town pond with fish before fishing season. the average depth of the pond is 20 feet. you plan to start the season with one fish per 1000 cubic feet. you intend to have at least 25% of the opening day's fish population left at the end of the season.what is the maximum number of licenses the town can sell if the average seasonal catch is 20 fish per license?
...?
6 sweets cost 24p altogether how much do 5 sweets cost
To calculate the cost of 5 sweets when 6 sweets cost 24p, divide the total cost by the number of sweets to determine the cost of one sweet, then multiply by 5. The cost for 5 sweets is 20p.
To find out how much 5 sweets cost when 6 sweets cost 24p altogether, we first need to calculate the cost of one sweet. We divide the total cost by the number of sweets to get the cost per sweet. Here's how it's done:
Find the cost of one sweet by dividing the total cost of 6 sweets (24p) by 6: Cost per sweet = 24p / 6 = 4p.Now, multiply the cost per sweet by the number of sweets you want to find the cost for, which in this case is 5: Cost for 5 sweets = 4p / sweet × 5 sweets = 20p.Therefore, 5 sweets would cost 20p.
Tomas factored the polynomial completely. What is the value of C?
3x^4 – 18x^3 + 9x^2 –54x
Ax(x^2 + B) (x + C)
C = ?
use analytic methods to find the extreme values of f(x)= (1/x) + lnx on the interval 0.5 ≤ x ≤ 4 and where they occur
original price $18 markup 15%
What is 0.98 rounded to the nearest thousandth?
The number 0.98 already has a zero in the thousandths place and no further digits; hence it remains as 0.980 when rounded to the nearest thousandth.
The given number, 0.98, when rounded to the nearest thousandth, does not change because it has a zero in the thousandths place. To round a number to the nearest thousandth, you look at the digit in the ten-thousandths place. If this digit is 5 or greater, you round up.
If it is less than 5, you keep the digit in the thousandths place as it is. Since 0.98 has a zero in the thousandths place already and there are no further digits, it remains as 0.980 when rounded to the nearest thousandth.
(1) Which fraction is a multiple of 1/6
A) 7/16
B) 11/12
C) 4/6
D) 6/9
(2) which fraction is a multiple of 1/8
A) 14/18
B) 7/16
C) 8/9
D) 5/8
(3) which fraction is NOT a multiple of 1/10
A) 10/3
B) 8/10
C) 3/10
D) 10/10
(4) which fraction is NOT a multiple of 1/12
A) 5/12
B) 11/12
C) 2/10
D) 3/13
Help solve x+6=4y
2x-8y=-12
1,8,15,22,...the next three of the arithmetic sequence
1.3 yrs = ? hrs ...?
three randomly selected households are surveyed. the numbers of people in the households are 1,3,8 assume that samples of size n =2 are randomly selelcted with replacement from the population of 1,3,8. Listed below are the nine different sampls
1,1 1,3 1,8 3,1 3,3 3,8 8,1 8,3 8,8
find the variance of each of the nine samples then summerize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values
s^2 Probability
3.3
1
6.3
49
The variances for the samples were calculated, and then the probability of each distinct variance value was found. The results were summarized in a table showing the probability distribution of the variances.
Explanation:The variance of a sample is calculated using the formula:
s^2 = Σ ( xi - X_bar )^2 / (n - 1).
Where 'xi' represents each value in the sample, 'X_bar' is the mean of the sample and 'n' is the number of values in the sample. Let's calculate the variance for each of these samples:
Next, find the probability of each distinct variance value by counting the number of times it occurs and dividing by the total number of samples (9 in this case). The sampling distribution of the variances with probabilities looks something like this:
Variance = 0 : Probability = 3/9 = 0.33Variance = 2 : Probability = 2/9 = 0.22Variance = 25 : Probability = 2/9 = 0.22Variance = 49 : Probability = 2/9 = 0.22Learn more about Variance and Probability here:https://brainly.com/question/31698743
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Найдите, чему равна сумма корней уравнения: |3x-y|+(x-2)^2+|x-y+z|=0
if the roots of the equation (a2+b2)x2-2(ac+bd)x+(c2+d2)=0 are equal, prove that a/b=c/d ...?
round 1,647 to the nearest thousand
A city finds its residents are moving to the suburbs. its population is decreasing by 4% per year. if the initial population of the city was 100,000, what will its population be in 10 years (round answer to the nearest person)?
The sum of two consecutive odd integers is 56. what is the smaller number?
Helpppppppp I'm really bad in math
Kumbu saleh traded primarily in
Plot 4/3 and 26/3 on the number line.
A museum grounds keeper is crating a semicircular statuary garden with diameter of 30 feet. There will be a fence around the garden. The fencing costs $9.25 per linear foot. About how much will the fencing cost altogether?
At a gas station, the price of a regular gas was $3.80 per gallon on monday. the price increased to $3.85 per gallon on tuesday. round the price per gallon for each day to the nearest tenth of a dollar.
Answer:
A round number is less accurate, but easier to use, because you get rid of certain decimals.
There are some rules to do this:
If we want to round a number to the nearest tenth, we have to look what's the unit after it, if that unit is more than 5, we round the tenth to the upper number. For example, 10.66 would be rounded to 10.7.If we want to round a number, and the next digit is lower that 5, we just maintain the same digit. For example, 10.44 would be rounded to 10.4However, there's a specific case, if we want to round a number to the tenth, and the following digit is 5, we could round up or round down the tenth digit. If the digit we want to round is pair, then we maintain the same digit, if it's odd, we can round to the upper digit. For example, 10.65 would be rounded to 10.6, and 10.75 would be rounded to 10.8Therefore, according to these rules, the round number would be $3.8 and $3.8
To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree per year.
Answer:0.075
Step-by-step explanation:
In the Math Club, 7 of the 20 girls are seniors, and 4 of the 14 boys are seniors. What is the probability of randomly selecting a boy or a senior to represent the Math Club at a statewide math contest?
34 In All. 14 boys (14/34) 11 Seniors, - 4 so we don't double count. (14/34) + (7/34)
How to solve 2x 4=17 step by step?
The problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the army.
The data provided does not include specific information needed to calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army.
Explanation:Unfortunately, the provided information does not give specific numbers for single parents actively serving in the different branches of the U.S. military, including the Army. Therefore, it is not possible to accurately calculate the empirical probability this question is asking for. However, if such data were available, you would calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army by dividing the number of single parents in the Army by the total number of single parents on active duty.
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What is the ratio of the area of the inner square to the area of the outer square?
(a−b)²+b²/a²
a²−b²/a²
(a−b)²/(a+b)²
(ab)²/(a+b)²
Answer: I just did the quiz in Plato the answer will be option A or (a-b) 2+b2/a2
Step-by-step explanation:
Which number rounds down when rounded to the nearest hundredth?
a. 46.215
b. 54.384
c. 57.456
d. 61.307
If Harrisen makes $10 an hour, how much will he make in a 40 hour work week?
$30
$50
$40
$400