The completed table of equivalent ratios would be:
13.5 square meters : 3 liters of paint
4.5 square meters : 1 liter of paint
45 square meters : 10 liters of paint.
To find the missing ratios, we need to set up proportions using the given information.
13.5 square meters is covered by 3 liters of paint, so we can write:
13.5/3 = ?/1
To solve for the missing ratio, we can cross-multiply:
13.5 x 1 = 3 x ?
? = (13.5 x 1) / 3
? = 4.5
So, 4.5 square meters can be covered by 1 liter of paint.
To find the last missing ratio, we can use the same method:
13.5/3 = ?/10
10 x 13.5 = 3 x ?
? = (10 x 13.5) / 3
? = 45
So, 45 square meters can be covered by 10 liters of paint.
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If 2x + 5y = 10 is a true equation, what would be the value of -4(2x + 5y)?
Answer:
-40
Step-by-step explanation:
2x + 5y = 10
-4(2x + 5y) = -4 * 10
-4(2x + 5y) = -40
please help... Find the volume of pyramid that has a square base.
Answer:
V = 324 cm³
Step-by-step explanation:
the volume (V) of the pyramid is calculated as
V = \(\frac{1}{3}\) Ah ( A is the area of the base and h the height )
here A = 9² = 81 cm² and h = 12 , then
V = \(\frac{1}{3}\) × 81 × 12 = 27 × 12 = 324 cm³
please help!
the answer is in the picture because i can’t type it out :D
Answer:
x is 20 and y is 23
Step-by-step explanation:
Answer:
x = 15
y = 4
Step-by-step explanation:
In a triangle a line parallel to any of the sides of the triangle divides the remaining two sides in the proportion. Therefore,
\( \frac{12}{y} = \frac{x}{5} = \frac{18}{6} \\ \\ \frac{12}{y} = \frac{x}{5} = \frac{3}{1} \\ \\ \implies \:\frac{x}{5} = \frac{3}{1} \\ \\ x = 5 \times 3 \\ \\ x = 15 \\ \\ \\ \frac{12}{y} = \frac{3}{1} \\ \\ 3y = 12 \\ \\ y = \frac{12}{3} \\ \\ y = 4\)
Brozony musical was attended by a total of 2233 people, including men, women and children. The number of women who atended the event
was more than 3 times the number of children while the number of men was less than 4 mes the number of women. Wirite an ecuation to
model this station. Then use the ention to find the number of men, women and children who attended the musical
Answer:
Let x represents the number of children in the Broadway musical,
Since, The number of women who attended the event was 5 more than 3 times the number of children,
⇒ The number of women = 3x + 5
Also, the number of men was 3 less than 4 times the number of women,
⇒ The number of men = 4(3x+5)-3 = 12x + 20 - 3 = 12x + 17
Thus, the total number of persons = x + 3x + 5 + 12x + 17 = 16x + 22
According to the question,
16x + 22 = 2838
Which is the required equation,
Subtract 22 on both sides,
16x = 2816 ⇒ x = 176
Hence, the total number of children = 176
The number of women = 3 × 176 + 5 = 533
And, the number of men = 12 × 176 + 17 = 2129
find the equation of the least squares regression line if x-bar= 15 sx=2 y-bar = 17.1 sy=3 r= 0.2
the equation of the least squares regression line is y = 0.2x + 13.1. This equation represents the line that provides the best fit to the given data points.
The least squares regression line represents the line that best fits a given set of data points. It is determined by finding the slope and intercept of the line.
Given:
x-bar = 15 (mean of x values)
sx = 2 (standard deviation of x values)
y-bar = 17.1 (mean of y values)
sy = 3 (standard deviation of y values)
r = 0.2 (correlation coefficient)
The slope of the regression line, denoted as b, can be calculated using the formula: b = r × (sy / sx)
Substituting the given values: b = 0.2 * (3 / 2) = 0.3
The intercept of the regression line, denoted as a, can be calculated using the formula: a = y-bar - b × x-bar
Substituting the given values: a = 17.1 - 0.3 × 15 = 13.1
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GIVING BRAINLIEST FOR RIGHT ANSWERS!! i need help.
Answer:
x ≤ -6
Step-by-step explanation:
This has a close circle, meaning it will have an equal sign.
The line goes to the left of -6, meaning x < -6
So, our inequality is x ≤ -6
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table.
Total Shoreline (miles) 22 17 10 23 12 35 7
Maximum Depth (feet) 101 85 59 113 64 158 33
She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit:
y = 4.26x + 10.908.
Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline?
Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft
How to interpret a Line of best fit?The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.
Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.
However, when the geologist found the graph, she arrived at an equation of best fit as;
y = 4.26x + 10.908.
Thus, for 31 miles of shoreline, the approximate maximum depth is;
Approximate maximum depth = 4.26(31) + 10.908.
Approximate maximum depth = 142.968 ft
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Answer:
143 feet
Step-by-step explanation:
its technically 142 and change but edmentum rounds up
Clarissa's team collects m magazines for the recycling drive. JoAnn's team collects 3 times as many magazines as
Clarissa's team. JoAnn's
team collects a total of 654 magazines.
Part A
In the first response box,
enter an equation to represent the total number of magazines JoAnn's team has
collected
Part B
In the second response box, enter the number of magazines represented by m in this situation.
Pls hurry
Part A: JoAnn's team collects 3m magazines.
Part B: The number of magazines (m) = 218 magazines.
Part A: To represent the total number of magazines JoAnn's team has collected, we can set up an equation. We know that JoAnn's team collected 3 times as many magazines as Clarissa's team. Therefore, we can set up the equation 3m = 654, where m represents the number of magazines that Clarissa's team collected. Part B: To solve the equation, we can divide both sides by 3. This gives us m = 218. This means that the number of magazines (m) Clarissa's team collected is 218 magazines. In conclusion, Clarissa's team collected 218 magazines, and JoAnn's team collected 3 times as many magazines, which is 654 magazines.
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Find the mode of the data set. 10, 15, 14, 16, 17, 20, 18, 21, 17, 11
The mode of the data set (10, 15, 14, 16, 17, 20, 18, 21, 17, 11) is 17.
To find mode of the given data set, arrange the data in ascending order.
Ascending order of the given data set will be 10, 14, 11, 15, 16, 17, 17, 18, 20, 21.
∵ 17 is the number that is repeated more often than other numbers.
∴ The mode will be 17.
Therefore, the mode of the data set 10, 15, 14, 16, 17, 20, 18, 21, 17, 11 is 17.
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Hurry up please I have 27 minutes to anwser 25 guestions
Answer:
C. The relationship between the quantities is: add 25.
Step-by-step explanation:
1x = 25y,
2x = 25 + 25 = 50y
3x = 50 + 25 = 75y
4x = 75 + 25 = 100y
Note:
As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).
X(2x-5) = 12
How to solve for x?
Answer:
\(x=4,\:x=-\frac{3}{2}\)
Step-by-step explanation:
\(x\left(2x-5\right)\)
Apply the distributive law.
\(=x\cdot \:2x-x\cdot \:5\)
\(=2x^2-5x\)
\(2x^2-5x=12\)
Subtract 12 from both sides.
\(2x^2-5x-12=12-12\)
\(2x^2-5x-12=0\)
Now, apply the quadratic formula.
\(x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-12\right)}}{2\cdot \:2}\)
\(x_{1,\:2}=\frac{-\left(-5\right)\pm \:11}{2\cdot \:2}\)
Separate the solutions.
\(x_1=\frac{-\left(-5\right)+11}{2\cdot \:2},\:x_2=\frac{-\left(-5\right)-11}{2\cdot \:2}\)
Simplify.
\(x=4,\:x=-\frac{3}{2}\)
If morris wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be?
If Morris wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be 9.
What is t-statistics?The t-test would be an inferential statistic that is used to assess whether or not there is a significant variation between the averages for two groups & how they are related.
Some key features of t-test statistics are-
T-tests are performed when the data sets get a normal distribution with unknown variances, such as when a coin is flipped 100 times.The t-test is a statistical hypothesis test that uses the t-statistic, t-distribution values, and degrees of freedom to evaluate statistical significance.A t-test is a statistical test used to test hypotheses.The t-test requires three essential data values: the difference in mean values between data sets, a standard deviation of every group, or the number of data items.T-tests can be either dependent or independent in nature.Now, according to the question;
The degrees of freedom of first sample t-test are df=n-1
where n is the sample size.
So, n=10, then df = n-1 = 10-1 = 9.
Therefore, the degree of freedom for the t-test is 9.
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An 8-inch by 10-inch map is drawn to a scale of 1 inch = 50 miles. If the same map is to be enlarged so that now 2 inches = 25 miles, how many 8-inch by 10-inch pieces of blank paper will be taped together in order for all of this map to fit?
Answer:
2500 pieces of blank paper measuring 8 inches by 10 inches would need to be taped together.
Step-by-step explanation:
To determine how many 8-inch by 10-inch pieces of paper are needed to fit the enlarged map, we need to calculate the dimensions of the enlarged map.
The original map had a scale of 1 inch = 50 miles. Since the map was 8 inches by 10 inches, the actual area it represented was:
8 inches x 50 miles/inch = 400 miles (width)
10 inches x 50 miles/inch = 500 miles (height)
Now, we have a new scale of 2 inches = 25 miles. To find the dimensions of the enlarged map, we can use the ratio of the scales:
2 inches / 1 inch = 25 miles / x miles
Cross-multiplying, we get:
2x = 1 inch x 25 miles
2x = 25 miles
x = 25 miles / 2
x = 12.5 miles
So, the enlarged map will represent an area of 400 miles (width) by 500 miles (height), using the new scale of 2 inches = 25 miles.
To determine how many 8-inch by 10-inch pieces of paper are needed, we divide the dimensions of the enlarged map by the dimensions of each piece of paper:
Number of paper pieces needed = (400 miles / 8 inches) x (500 miles / 10 inches)
Number of paper pieces needed = 50 x 50
Number of paper pieces needed = 2500
Therefore, to fit the entire enlarged map, approximately 2500 pieces of blank paper measuring 8 inches by 10 inches would need to be taped together.
Keesha has 10 more quarters than dimes, which, together, total $11.25. How many coins does she have in quarters and dimes?
Assume Keesha has d dimes, so she has d + 10 quarters
Total money Keesha has is (d+10)*.25 + d*.1 = 11.25
or 0.35d + 2.5 = 11.25
Solving for d , d = 25
So Keesha has 25 dimes and 35 quarters, total of 60 coins
The number of dimes and quarters Keesha has if, Keesha has 10 more quarters than dimes are 25 and 35 respectively.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
Keesha has 10 more quarters than a dime,
The total value = $11.25
As we know 1 dime = 10 cents or $0.1 and 1 quarter = 25 cents or $0.25,
Write the equation of the above statement as shown below,
y = x + 10
0.1x + 0.25y = 11.25
Here, x is the number of dimes and y is the number of quarters,
Solve the above equation by using the elimination method,
x = 25,
y = 25 + 10 = 35
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The purpose of a Chi-Square test is to examine the relationship between an explanatory categorical variable and a response quantitative variable examine relationships between two quantitative variables. examine relationships between two categorical variables. examine the relationship between an explanatory quantitative variable and a response categorical variable None of the above are true
Answer:
b). Examine relationships between two categorical variables
Step-by-step explanation:
The chi-square test of independence is used to determine if there is a significant relationship between 2 Categorical variables. In the data set-up for the Chi-Square Test of Independence, at minimum, your data should include two categorical variables and each categorical variable must include at least two groups.Red Valley Cabs charges $4.50 to initiate a cab ride, plus an additional $3.20 per mile driven. How long is a $10.90 cab ride?
So, the cab ride was 2 miles long.
what is cost?Cost refers to the total amount of money, time, effort, or resources required to produce or obtain something. It is the value of the inputs used to create a product or provide a service. In business, cost is a crucial factor in determining profitability, as it directly affects the price of goods and services and ultimately the revenue earned by a company. There are various types of costs, such as fixed costs, variable costs, direct costs, indirect costs, and opportunity costs. Understanding the costs associated with a particular activity or project is important for effective decision making and resource allocation.
Given by the question.
To solve this problem, we need to use the information provided to find out how many miles the cab ride is. Then we can use the rate of $3.20 per mile to calculate the cost of the distance traveled, and add the initial $4.50 fee to get the total cost of the ride.
Let's start by subtracting the initial fee from the total cost of the ride to find the cost of the distance traveled:
$10.90 - $4.50 = $6.40
This means that the distance traveled costs $6.40. We can now use the rate of $3.20 per mile to find out how many miles were traveled:
$6.40 ÷ $3.20 per mile = 2 miles
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Complete the square so that the left side of x2 + 8x − 3 = 0 becomes a binomial squared. (x +___)2 = ___
Answer:
(x + 4)2 = 19
4 and 19 is the answer.
An item on the sale rack at a local supermarket was marked $3.42. The original price
of the item was $4.75.
What was the percent of the discount?
Answer:
The real answer would be 28%
Step-by-step explanation:
It's true!
how do i answer that?!
Answer:
the answer is 4.
Step-by-step explanation:
-3 squared will give you 9. 73- 9 is 64 and cube root of 64 is 4
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
Trish is having trouble understanding why she was not approved for her loan. Which of the following probably kept Trish from getting her loan? a. Trish's debt-to-income (DTI) is currently 30%. B. Trish's credit score is a solid 525. C. Trish is a single mom with three kids. D. Trish's gross monthly income is only $2,800. Please select the best answer from the choices provided A B C D.
The best is B. Trish's credit score is a solid 525. A credit score of 525 is considered low, indicating a history of poor credit management, which can affect loan approvals. Lenders often use credit scores to assess an individual's creditworthiness and determine their ability to repay the loan.
While factors like debt-to-income ratio (DTI), being a single mom with three kids, and having a relatively low income can impact loan approvals, the credit score is a crucial factor. A credit score reflects an individual's credit history and their likelihood of repaying debts. With a credit score of 525, Trish's creditworthiness may be perceived as risky, resulting in the loan denial. Lenders prefer borrowers with higher credit scores, indicating a more reliable repayment history.
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HELP PLEASEEE!! URGENT
Answer:
try socratic
Step-by-step explanation:
u need a phone for it to take the pics. are u can copy it and paste it to socratic on the computer. its an app
One number is 5 more than 3 times another number.the sum of the numbers is 45. find the numbers
Answer:
35 and 10
Step-by-step explanation:
Let m and n be the numbers
m is 5 more than 3 times n can be written as
m = 3n + 5 ... (1)
Sum of numbers is 45 so m + n = 45 .or
m = 45 - n ... (2)
Equating RHS of (1) and (2) gives us
3n + 5 = 45 - n
Collecting like terms
3n + n = 45 -5
4n = 40
n = 10
Therefore m = 45-10 = 35
Quick Check
In (1) substitute for m and n,
LHS is m = 35
RHS = 3 * 10 + 5 = 35
Solve the equation for x .........
Answer:
-30
Step-by-step explanation:
-x/10 = 3
-x = 3 * 10 (transposing)
-x = 30
x = -30
9x-5y=2
3x-4y=10
can anyone please explain how the answer of this question is:
x=-4
y=-2
Answer:
9x-5y=2======>9x-5y=2===>(+)7y=-28=>y=-4=>(1)3x-4(-4)=10=>x+16=20=>x=4
3x-4y=10(1)=>(×-3)-9x+12y=-30=>(+)
The initial value of a book is $58 and decreses at a rate of 7% per year. Use an exponential function to find the value of the book after 8 years.(pls help me pls and ty)
A.$7.21
B.$32.46
C.$21.44
D.$56.21
Answer
y = 58 ( 1-0.07)^8 so y = 32.46
Step-by-step explanation:
The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
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if a1 = 7 and an = -2an-1 then find the value of a5
Answer:
\(a_1 = 7 \\ a_n = - 2a_{n - 1} \\ a_2 = - 2a_1 = - 2(7) = - 14 \\ a_3 = - 2a_2 = - 2( - 14) = 28 \\ a_4 = - 2a_3 = - 2(28) = - 56 \\ a_5 = - 2a_4 = - 2( - 56) = 112\)
The value of a₅ on calculating if, a₁ = 7, aₙ = -2aₙ₋₁ is 112.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
a₁ = 7, aₙ = -2aₙ₋₁
Calculate the value of a₅ as shown below,
a₅ = -2a₅₋₁
a₅ = -2a₄
a₅ = -2 (-2a₄₋₁)
a₅ = 4a₃
a₅ = 4 (-2a₃₋₁)
a₅ = -8a₂
a₅ = -8 (-2a₂₋₁)
a₅ = 16 a₁
a₅ = 16 × 7
a₅ = 112
Thus, the value of a₅ is 112
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twelve mangoes are to be shared in the ratio of 2:3:1.How many mangoes will each person get
help me yall pleasee :(
Answer:
line 2 has a mistake, you are supposed to add 6x to both sides and instead they subtracted