The fraction given 20/32 can be written as 5/8 in its simplest form.
How to simplify fractions?The principle of simplifying fraction is to make both the numerator and the denominator smaller numbers but as proportional as the original fraction. This is convenient for mathematical operations and even for understanding proportions.
Now, to simplify fractions we need to divide the nominator and the denominator, the process is shown below:
20/32 divide both numbers by 420/ 4 = 532/ 4 = 8This means the new fraction is 5/8.
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what are the steps for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line?
Answer:
As mention in the explanation steps.
Step-by-step explanation:
Te following steps may be helpful for using a compass and a straightedge to construct a line perpendicular to a given line through a point not lying on the given line (as shown in the figure).
Step - 1. Draw a line (line AB)
Step- 2. Take a point (point P), that do not lie on the line AB.
Step - 3. Assume point p as a center an draw as arc which intersect the line AB at two point (point C and point D).
Step - 4. Now draw a line XY that is the perpendicular bisector of line segment CD. This recurred line XY is the line perpendicular to a given line (line AB) through a point not lying on the given line.
Tell which set or sets the number belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
0.1313...
Felicity is placing a rectangle in the coordinate plane. She knows that the longer side of the rectangle is 3 times its shorter side. She places the longer side on the x-axis. What coordinates should she assign to the top-right vertex of the rectangle? Enter your answer in the boxes. ( , ) A rectangle is in the coordinate plane so that the bottom left vertex is at 0 comma 0, the top left vertex is on the positive side of the y-axis and is labeled 0 comma a, the top right vertex is in the first quadrant and is labeled question mark comma question mark, and the bottom right vertex is on the positive side of the x-axis.
Answer:
(3a,a)
Step-by-step explanation:
The length of a rectangular room is 2 feet longer than twice the width. if the room's perimeter is 196 feet, what are the room's dimensions?
Using a system of equations, it is found that for the room's dimensions:
The width is of 32.33 feet.The length is of 66.67 feet.The perimeter of a rectangle of length l and width w is given by:
[tex]P = 2(l + w)[/tex]
The length of a rectangular room is 2 feet longer than twice the width, hence:
[tex]l = 2w + 2[/tex]
The room's perimeter is 196 feet, hence:
[tex]2l + 2w = 196[/tex]
From the second equation:
[tex]2(2w + 2) + 2w = 196[/tex]
[tex]6w = 194[/tex]
[tex]w = \frac{194}{6}[/tex]
[tex]w = 32.33[/tex]
Then:
[tex]l = 2w + 2 = 2(32.333) + 2 = 66.67[/tex]
The width is of 32.33 feet.The length is of 66.67 feet.A similar problem is given at https://brainly.com/question/9553406
The dimensions of the room are 32 feet by 66 feet, with a total area of 2112 square feet, which can be calculated for carpet replacement based on the room's perimeter.
To find the dimensions of a rectangular room where the length is 2 feet longer than twice the width and the perimeter is 196 feet, we first need to establish equations based on the given information. Let the width of the room be represented by w and the length be represented by l. From the problem, we have that l = 2w + 2. The perimeter P of a rectangle is given by P = 2l + 2w. Plugging in what we know, we can set up the equation:
196 = 2(2w + 2) + 2w
Solving this, we get:
196 = 4w + 4 + 2w196 = 6w + 4192 = 6ww = 32 feetNow, we use the width to find the length:
l = 2(32) + 2l = 64 + 2l = 66 feetSo, the dimensions of the room are 32 feet by 66 feet. Since the student wants to determine the square footage for carpet replacement, we can calculate the area by multiplying the length and width:
Area = 32 feet × 66 feet = 2112 square feet
A number x is more than -6 and at most 8. Write it in a inequality
The required inequality is -6<x<8
What is an inequality?An inequality is an inequation separated by <,>≥,≤. In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.
Given here: A number x is more than -6 and at most 8.
Clearly we can infer that the number lies between the interval (-6,8)
Thus we can construct the inequality for x as
-6<x<8 or x has 11 integral values
Hence, The required inequality is -6<x<8
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Subtract 75% of 86 ft
What is the solution of the system of equations?
△FEB≅△CNB.
What is length of BN¯¯¯¯¯¯ ?
Enter your answer in the box.
units
The Answer to this problem is BN=3.8 Units.
The statement △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB, meaning their corresponding sides and angles are equal. However, without additional information, such as the length of a congruent side in △FEB, we cannot determine the exact length of BN.
Explanation:The given statement, △FEB≅△CNB indicates that triangle FEB is congruent to triangle CNB. In congruent triangles, corresponding sides and angles are equal.
However, to determine the exact length of BN, more information is needed. Examples of useful additional information would include the length of a corresponding side in △FEB, or the lengths of other sides in △CNB in relation to the length of BN, if these are also congruent sides.
Given the information provided in the question, it's not possible to provide an exact numeric value for the length of BN at this time. Please confirm if there are any additional details in your question or your course materials that could further clarify this issue.
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Find the solution set of the inequality 4x−1<11.
A segment has endpoints A and C. What are two names for the segment?
The two names for the segment are AC and CA that has endpoints A and C the answer would be AC and CA.
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.
It is given that:
A segment has endpoints A and C.
As we know, the line segment is the line that goes to the endpoints on both sides.
The line segment can be represented as AC and CA
Or
The bar(AC) and bar(CA)
Thus, the two names for the segment are AC and CA that has endpoints A and C the answer would be AC and CA.
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Sam decides to build a square garden. if the area of the garden is 4x2 - 20x + 25 square feet, what is the length of one side of the garden?
Solve ×/6 = 20 A.×=14 B. ×=26 C.×=120 D. ×=3
This involves Triangle Centroid. I really do not know how to set this up at all
HELP ASAP A? B? C? D?
A $100 bill, Two $20 bills,three $10 bills, and four $5 bills are placed in the bag. If a bill is chosen at random and you have to pay $15 to play the game. what is the expected value for the game?
Final answer:
The expected value for the game is $4, which means on average a player would expect to gain $4 before the entry fee. However, after subtracting the cost to play ($15), the net expected value is -$11, indicating a loss on average for each play.
Explanation:
To determine the expected value of the game mentioned, we first identify the possible outcomes and their corresponding probabilities. Next, we multiply each outcome value by its probability, and sum up these products. Finally, we deduct the cost of the game ($15) from the sum to find the expected net gain or loss.
Probability of picking a $5 bill = 4/10
The expected value (EV) calculation would be:
EV = (1/10 * $100) + (2/10 * $20) + (3/10 * $10) + (4/10 * $5) - $15
EV = ($10) + ($4) + ($3) + ($2) - $15
EV = $19 - $15
EV = $4
Therefore, the expected value for the game is $4. This means on average you would expect to gain $4 per game before considering the entry fee. Since you pay $15 to play, you need to subtract this from the $4 gain to obtain the net expected value, which would be -$11, indicating a loss in the long run.
Why is it important to review test results? After you review the results of a quiz or a test, what should be your next steps? Give at least one example for good test results and at least one for poor test results.
Graph f(x)=−3/4x−4 .
To graph the equation f(x) = -3/4x - 4, choose values for x, substitute them into the equation to find corresponding y values, and plot the points on a graph.
Explanation:The given equation is f(x) = -3/4x - 4. To graph this equation, we can choose several values for x and substitute them into the equation to find the corresponding values for y. Then, we plot these points on a coordinate plane and connect them to form a line.
For example, let's choose x = 0. Substituting this value into the equation, we get f(0) = -3/4(0) - 4 = -4. This gives us the point (0, -4) on the graph. Similarly, we can choose other values for x and find their corresponding y values to plot more points and complete the graph of f(x).
Is y=8x a linear function
Yes, the function y=8x is a linear function because it has the form y = a + bx, where a is the y-intercept and b is the multiplicative slope factor, both of which are present in this equation with a=0 (implied) and b=8.
The question whether y=8x is a linear function can be answered by examining the form of the equation. A linear equation can generally be expressed as y = a + bx, where a is the y-intercept and b is the slope of the line. Since the equation y=8x fits this form, with a slope of 8 and a y-intercept of 0 (implied), it is indeed a linear function. A graph representing this equation would display a straight line with a slope of 8, confirming its linear nature. The equation y=xb is nonlinear when b is a power rather than a multiplicative parameter, demonstrating the contrast between linear and nonlinear functions. However, in our case, 8 is simply a multiplicative factor, which is characteristic of a linear function.
How to solve 45 45 90 triangle given hypotenuse?
Help Plz!!!!!!!!!!!!!!!!
A parcel of air, with less than 100% relative humidity, that is rising because of heat energy derived from the surface is ______ stable. unstable. conditionally unstable.
Yuto left his house at 10 a. m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother? Riko will be behind Yuto when 0 ≤ t < minutes.
Translate this phrase into an algebraic expression
61 decreased by twice Vanessa's score
Use the variable v to represent Vanessa's score.
Adrian has a square bedroom. The area of the room is 169 ft². How would you find the length of one side of his room?
The daily rainfall during two week period in april weeks was:1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches. what was the mode during this two week peroid
Answer:
0
Step-by-step explanation:
The mode of the data is 2 which occurs more frequently during these two weeks.
What is the mode?Mode is the number that appears most frequently in the given set of data. The Median represents the middle value of the given data when arranged in a particular order.
The daily rainfall during two week period in april weeks given as;
1, 0.5, 0.3, 0, 0,0, 1.2, 3, 0, 1.1, 0.7, 2, 1.3, 2 inches.
Calculation of the mode:
First, we Rearrange the data from the lowest to the highest value.
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Since there is an even number of data, find the mode in the middle;
0, 0, 0, 0, 0.3, 0.5, 0.7, 1, 1.1, 1.2, 1.3, 2, 2, 3
Therefore, the mode of the data is 2 which occurs more frequently during this two-week peroid.
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What angle measures larger than 180 degrees, but less than 360 degrees?
Answer:
reflex
Step-by-step explanation:
The formula k=c+273.15k=c+273.15 converts temperatures from celsius cc to kelvin kk.
a. solve the formula for cc. c=c=
b. convert 300 kelvin to celsius. write your answer using decimals. 300k=300k= ∘c
a. We are given that the formula for Celsius (c) to Kelvin (k) is:
k = c + 273.15
Now to solve for the formula for c, simply subtract 273.15 from both sides, so that:
k – 273.15 = c + 273.15 – 273.15
k – 273.15 = c
Rearranging:
c = k – 273.15
b. We are given that k = 300 Kelvin, therefore find for c:
c = k – 273.15
c = 300 – 273.15
c = 26.85°C
The formula to convert temperature from Kelvin to Celsius is c = k - 273.15. When you use this formula to convert 300 Kelvin to Celsius, the answer is 26.85°C.
Explanation:The formula k = c + 273.15 is used to convert temperatures from Celsius to Kelvin. To solve for 'c' (Celsius), you would subtract 273.15 from both sides of the equation which gives c = k - 273.15.
If you have a temperature of 300 Kelvin and you want to convert this to Celsius using the formula c = k - 273.15, you would substitute 300 in place of k. This gives: c = 300 - 273.15, which equals 26.85°C.
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An item is regularly priced at $40. she bought it at a discount of 35% off the regular price. How much did she pay?
bob takes 4 apples and sarah eat 2 of his apples how many apples does bob have now ?
i need help with c. maybe b if i got it wrong too.