Ramon should buy the rug of 169 square feet area because the room area is 160 square feet.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that in the model ½ inch represents 2 feet and Ramons room measures 2.5 inches by 4 inches. Ramon wants to purchase a rug that will take up 169 square feet of space.
1/2 inch = 2 feet
1 inch = 4 feet
2.5 inch = 10 feet
4 inch = 16 feet
Area of room = L x W
Area of room = 10 x 16
Area of room = 160 square feet
The area of the rug is 169 square feet and the area of the room is 160 square feet which will cover the whole area.
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Use the drop-down menus to complete each equation so the statement about its solution is true.
The value of x such that the equation "2x + 9 + 3x + x = 15" has One Solution(Unique Solution) is x = 1 .
The Solution of an equation is defined as the values that makes the equality in equation true. In other words, a solution is a value that is substituted for the unknown ,and the equation becomes an equality .
the equation is given as 2x + 9 + 3x + x = 15 ;
we have to find the value of x for such that it has One Solution ;
adding the like terms together ,
we get ;
6x + 9 = 15 ;
simplifying further ,
we get ;
6x = 15 - 9
6x = 6
x = 6/6 = 1
So , the solution of the the given equation such that it has one solution is x = 1 .
The given question is incomplete , the complete question is
Complete equation so the statement about its solution is true.
Find the value of x such that the equation 2x + 9 + 3x + x = 15 has One Solution . x = .
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which statement is most likely to be true upon rolling a standard die more than 100 times? a.) the probability of getting a number less than 3 is close to 0.33 but does not change the probability of the next trial. b.) the probability of getting a number less than 3 is close to 0.33 and changes the probability of the next trial. c.) the probability of getting a number less than 3 is equal to 0.33 but does not change the probability of the next trial. d.) the probability of getting a number less than 3 is equal to 0.33 and changes the probability of the next trial.
The correct answer is c.) the probability of getting a number less than 3 is equal to 0.33 but does not change the probability of the next trial.
The probability of getting a number less than 3 on a standard die is always equal to 0.33, regardless of the number of times the die is rolled. The probability of an event occurring does not change based on the number of times the event has occurred in the past. Each roll of the die is an independent event, meaning that the outcome of each roll does not affect the probability of the next roll.
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Franklin Middle School's spring concert is next week. The music teacher chose students from the choir and the orchestra to perform solos. There are 25 choir students, and 5 of them have a solo. There are 20 orchestra students, and 4 of them have a solo. Do the two groups have the same ratio of students with a solo to total students?
The two groups have the same ratio of students with solo to total students.
How to solve for ratios?We should know that ration is the quotient of two numbers. In mathematics ration is defined as as the number of times one number contains another number
The given parameters are
25 choir students
5 solo students from the choir
20 Orchestra students
4 solo orchestra students
Expressing the ratio of total choir students to total orchestra students and solo choir students to solo orchestra students we have
25:20 = 5:4
Dividing the left hand side by 5
5:4 = 5:4
In conclusion the ratio of total choir students to total orchestra students and solo choir students to solo orchestra students are the same = 5:4
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Population parameters are used to estimate sample statistics.
a. true
b. false
Population parameters are used to estimate sample statistics, and this is true.
Population parameters are used to describe the characteristics of a population, such as the mean, median, and standard deviation, and are used to make inferences about a population. Sample statistics, on the other hand, are used to describe the characteristics of a sample of a population. For example, a sample statistic could be the mean of a sample of people's heights.
To estimate sample statistics, population parameters must first be known. For example, the sample mean can be estimated using the population mean. If the population means are unknown, then the sample means can be estimated using the sample mean.
In conclusion, population parameters are used to estimate sample statistics, and this is true. Population parameters provide useful information about a population that can be used to make inferences about a sample. Knowing the population parameters allows researchers to make more accurate estimates of sample statistics, which in turn can be used to make more reliable inferences about a population.
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What are the four ways to prove that two triangles are similar?
Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.
If two triangles have an equal number of comparable angles and sides, they are said to be similar.
Similar figures are items that have two or more figures with the same shape but varying sizes.
Using the SAS(Side-Angle-Side) Theorem, ASA(Angle-Side-Angle) Theorem, SSS(Side-Side-Side) Theorem and AA(Angle-Angle) Theorem we can easily prove that two triangles are similar.
A portion on one polygon must correspond perfectly to a part in another polygon that is in a similar place. Even though two triangles are oriented differently from one another, you can conclude that their angles match if you can spin them to align in the same direction and notice that their angles are similar.
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Is a triangle congruent if 1 angle of the triangle is congruent and 2 sides are congruent?
Answer:
When two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are congruent, the triangles are congruent. Two triangles with one congruent side, a congruent angle and a second congruent angle.
Solve for k.
k² - 19k - 20 =0
Answer:
k = -1, 20
Step-by-step explanation:
k² - 19k - 20 = 0
k² + 1k - 20k - 20 = 0 ==> 1 * (-20) = -20 and -20 + 1 = -19
k² + k - 20k - 20 = 0
k(k+1) - 20(k+1) = 0 ==> factor and simplify
(k-20)(k+1) = 0
k-20=0 ==> k=20
k+1=0 ==> k=-1
k = -1, 20
Answer:
k² - 19k - 20
(k-20) (k+1) = 0
k-20 = 0
k=20
k+1 = 0
k= -1
k= 20 and -1
Two cow gauri and bindiya are grazing in a field they are tethered uing end of ame rope fixed at point O gauri move from a to b and bindiya move from c to d total area grazed by the cow i 10 pie m q. Length of robe i 12 cm
The total distance traveled by the cows are 3.58 meters. To calculate that we need to calculate fourth area before.
It sounds like you are trying to solve a problem involving two cows grazing in a field and the area that they graze. Here is a possible solution:
First, draw a diagram to represent the situation. Let O be the point where the rope is fixed, and let A and B be the points where Gauri moves between. Similarly, let C and D be the points where Bindiya moves between. Draw the lines connecting these points to form four sides of a quadrilateral.Next, measure the lengths of the sides of the quadrilateral. Since the total area of the quadrilateral is 10 square meters, and the length of the rope is 12 cm.We can use the formula for the area of a quadrilateral to solve for the fourth side:
Area = (1/2) x (12 cm) x (fourth side)
Solving for the fourth side, we get:
Fourth side = (20 cm)/(12 cm) = 1.67 meters
Finally, add up the lengths of the four sides to find the total distance traveled by the cows:
Total distance = (1.67 meters) + (12 cm) + (1.67 meters) + (12 cm) = 3.58 meters
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what percent is 35 out of 45
Answer: The correct answer is 77.77 %
Step-by-step explanation: To calculate the percentage, number or ratio that can be expressed as a fraction of 100.
Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
What are the 5 functions of roots?
Main five functions of the roots are as follow:
1.Anchorage of the plant
2. Absorption of water
3. Absorption of minerals or food
4. Preventing soil erosion
5. Transportation of food.
Five function of the roots of the plants:
Anchorage : It helps to fix the root part of the plant to the soil and help to grow the aerial shoot system of the plant or tree. Absorption of water : It helps to absorb water through the roots of the plants from the soil . Absorption of Minerals : it helps to absorbs salts and mineral from the soil to the roots of the plants. Preventing Soil Erosion : Root help to prevent the soil by binding the soil to the roots of the plants.Transport : Roots helps to transport salt , water , and mineral from the soil to the shoot part of the plant.Therefore, the five functions of the roots of the plants are
1.Anchorage of the plant
2. Absorption of water
3. Absorption of minerals or food
4. Preventing soil erosion
5. Transportation of food.
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For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.A. 1.4x + 0.75 y > 150B. 1.4x + 0.75y ≥ 150C. 1.4x + 0.75 < 150D. 1.4x + 0.75 ≤ 150
Answer:
the answer is D i think
find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −3, 9 2 , q 3, 9 2
As per the given equation, the length of the arc of the curve from point p to point q is 1.8973
Here we have given the equation y = 1/2 x².
Then the the length of the arc of the curve from point p to point q is calculated by using the formula,
=> [tex]\int\limits^q_p {\sqrt{1+(\frac{dy}{dx} )^2} } \, dx[/tex]
Here we have to extract the value of (x1, x2) from the given coordinates, then we get,
=> (x1, x2) = (-3, 3)
Now, we have to find the derivative of y, then we get he value as,
=> dy/dx = x
So, the length is calculated as,
=> [tex]\int\limits^3_{-3} {\sqrt{1+x^2} } \, dx[/tex]
As per the power rule of derivative, then reduced form of the equation is written as.
=> [x/√x²+1]₋₃³
When we apply the value of x as the given limit, then we get,
=> [3/√3²+1] - [(-3)/√(-3)²+1]
=> [3/√10] + [3/√10]
=> 6/√10
=> 1.8973
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What is the arithmetic mean of the following numbers 3 5 6 7 9 6 8?
The mean for a given set of observations is 6.286.
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean. A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. When a data collection is arranged from least to largest, the median is the midway value. The mode is the number that appears the most frequently in a data collection.
Here,
given set of observation,
=3,5,6,7,9,6,8
=(3+5+6+7+9+6+8)/7
=6.286
The mean for given set of observation is 6.286.
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How do you know if its discontinuous?
Discontinuity can be determined by looking for sudden changes in values or jumps in the graph of the function. If there is a break or gap in the graph, the function is discontinuous.
Discontinuity occurs when a function fails to be defined at a certain point within its domain, resulting in a sudden change in the graph of the function. Discontinuity can be determined by plotting the graph and looking for sudden changes in values or jumps in the graph. If the graph shows a break or gap, then the function is discontinuous. Discontinuity can also be determined by examining the behavior of the function at a certain point. If the function values diverge as the point is approached from either side, then the function is discontinuous at that point. Additionally, a function can be discontinuous at a point if it does not obey the rule of continuity, which is that the function's value must be equal to the limit of the function as the point is approached from both sides. If the limit does not exist at a point, then the function is discontinuous at that point.
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Mishka is on a long road trip, and she averages 70 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 35 mph. What is the total distance that she covers on her road trip?.
Answer:
highway: 70 × 2 = 140 miles
side roads: 35 × 1 = 35 miles
total distance: 140 miles + 35 miles = 175 miles
im sorry if the answer is wrong :)
Need help with this equation . Asap
The measure of segments mAG, mAC, and mBC are 11.4, 16.1 and 7.1 respectively,
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
Apply Pythagoras theorem in triangle ABG,
mAG = √[7² + 9²]
mAG = √[49 + 81]
mAG = √[130] = 11.4
Apply Pythagoras theorem in triangle BGC,
mBC = √[10² - 7²]
mBC = √51
mBC = 7.1
Now
mAC = mAB + mBC
mAC = 9 + 7.1
mAC = 16.1
Thus, the segments mAG, mAC, and mBC have measures of 11.4, 11.1, and 7.1, respectively.
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The cutomer who purchaed all the item for $37. 85 tarted with with $52. 02 in hi pocket he decided to ue hi leftover money to buy lot of candy to decorate the gingerbread houe if each bag of candy cot $5. 50 how many whole bag of candy could he afford to buy?
The customer can afford to buy 2 whole bags of candy.
The customer started with $52.02 in his pocket and spent $37.85 on items, so he had $52.02 - $37.85 = $14.17 left over to spend on candy.Each bag of candy costs $5.50, so the customer can afford to buy $14.17 / $5.50 = 2.6 bags of candy.Since the customer can only buy whole bags of candy, he can afford to buy 2 whole bags of candy.In this problem, the customer started with $52.02 in his pocket and spent $37.85 on items, leaving him with $14.17 to spend on candy. Each bag of candy costs $5.50, so the customer can afford to buy $14.17 / $5.50 = 2.6 bags of candy. However, since the customer can only buy whole bags of candy, he can only afford to buy 2 whole bags of candy. This is the final answer to the problem.
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What is the solution of the system of equations y =- 4x 10?
The solution of the given system of equation is (8, -22).
In the given question we have to find the solution to the system of equations:
y = -4x + 10 and y = -2x - 6
We can solve the system of equation using the substitution method.
In substitution method we have to put the the value of one variable from one equation to the other equation.
We have to equations:
y = -4x + 10...................................(1)
y = -2x - 6.............................(2)
Now putting the value of y from the equation 1 in equation 2
-4x + 10 = -2x - 6
Add 6 on both side we get
-4x + 16 = -2x
Add 4x on both side, we get
2x = 16
Divide by 2 on both side, we get
x = 8
Now the value of x is 8.
Now putting the value of x in equation 1
y = -4(8) + 10
y = -32 + 10
y = -22
Hence, the solution of the given system of equation is (8, -22).
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The right question is:
What is the solution of the system of equations y = -4x + 10 and y = -2x - 6?
for 1 sale, an employee earns 1 token. for 2 sales, an employee earns 6 tokens. for 3 sales, an employee earns 12 tokens. for 4 sales, an employee earns 19 tokens. how many tokens will be earned for eight sales? (4 points) 46 48 53 57
For a total of 8 sales the employee earns about 57 tokens
What is an equation?An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.
Equations can be graphed, they are used to model many problems and theories.
If the employee by amount of sales obtains a greater benefit each time, which is stipulated as follows:
1 sale ---- 1 token2 sales --- 6 tokens3 sales --- 12 tokens4 sales ---- 19 tokensWe must put together an equation that relates the amount of sales with the amount of tokens.
2v --- 1 +5 = 63v --- 2v + 6 = 124v --- 3v + 7 = 195v --- 19 + 8= 276v --- 27 + 9 = 367v --- 36 + 10 = 468v --- 46 +11 = 57 tokens for 8 sales.Learn more about equations at:
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How do you use the base formula?
The change of base formula is the formula that, by utilizing solely log calculations with a base of 10, will provide you with the result of a log with a different base.
The change of base formula is the formula that, by utilizing solely log calculations with a base of 10, will provide you with the result of a log with a different base. The formula instructs you to divide the parenthesized integer by the log of your base after taking the log of the number in parentheses.
The change of base formula is the formula that, by utilising solely log calculations with a base of 10, will provide you with the result of a log with a different base. The formula instructs you to divide the log of the value in the parenthesis by the log of your base.
[tex]log_{b}(x)=\frac{log_{10}(x)}{log_{10}(b)}[/tex]
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Find the simple interest on $6000 from 16 may 2010 to 9 october 2010 at 10% per annum.
The simple interest is $6,240.00.
The term simple interest refers the interest that is only calculated on the initial sum borrowed or deposited.
Here we need to find the simple interest on $6000 from 16 may 2010 to 9 October 2010 at 10% per annum.
While we looking into the given question, we know te following values,
Principal amount = $6000
Time period = 16 may 2010 to 9 October 2010
The number of days between 16 may 2010 to 9 October 2010 is
=> 146 days.
Here we have the interest for 1 year,
So, the time period is written as,
And then we have to put time into years for simplicity,
146 days / 365 days/year = 0.4 years.
And the interest rate = 10%
Here we have to convert R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year.
Now, we have to apply the values on the formula, then we get by solving our equation:
A = 6000(1 + (0.1 × 0.4)) = 6240
A = $6,240.00
Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 10% per year for 0.4 years (146 days) is $6,240.00.
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Can somebody help me find the value of x ? image attached .
Answer:
x = 23
Step-by-step explanation:
from the drawing BC = EF
we solve with an equation
x - 4 = 19
x = 19 + 4
x = 23
what is the answer to the question
Answer: blah blah blah join my chatlet write join/johan chatlet with no spaes
Step-by-step explanation:
What is the median of 4 and 7?
The median of 4 and 7 is 5.5.
The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.
The data set's median is the value in the center. Put all the numbers in ascending or descending order, and then choose the middle number to determine the median. There will only be one middle integer if the number of data points is odd. If the number of data points is even, you must choose the middle two numbers, add them together, and divide by two. Your median will be that value.
The mean of these middle values is (4+7)/2 = 11/2= 5.5
Thus, the median of 4 and 7 is 5.5.
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How do you find the base of a triangle with only the height?
The hypotenuse and the known leg are squared. Subtract the squared length of the hypotenuse from the squared length of the leg. Finally, compute the result's square root.
What is triangle?A triangle is a polygon having three vertices and three edges. It is a fundamental geometric figure. Triangle ABC represents a triangle with three vertices: A, B, and C. Any three non-collinear points constitute a unique triangle and, by extension, a unique plane in Euclidean geometry. Triangles are polygons with three vertices that have three sides. The triangle's angles are constructed by joining the three sides end to end at a point. The triangle's three angles add up to 180 degrees.
Here,
Square the hypotenuse and the known leg. Subtract the squared length of the leg from the squared length of the hypotenuse. Finally, compute the square root of the result.
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Given AABE~ ADCE and BC intersects AD at E, what is the value of y
Answer:
Step-by-step explanation:
The value of y is unclear given the information provided. However, if BC intersects AD at E, then it stands to reason that y would be equal to the value of x. This is because, if BC intersects AD at E, then the two lines are parallel and therefore have the same value for y.
isabella is making a huge flag of her country, the republic of seychelles, on a canvas 202020 by 101010 meters long. to do that, she has to draw a diagonal line that begins at the bottom-left corner and ends at the top side of the flag, 6.66.66, point, 6 meters to the right. since the ends of the diagonal line are too far to put a ruler between them, isabella wanted to find the angle of the diagonal and draw it using a protractor. what is the angle, in degrees, between the diagonal line and the left edge of the flag? round your final answer to the nearest tenth.
The angle, in degrees, between the diagonal line and the left edge of the flag is 67.8 degrees.
To find the angle between the diagonal line and the left edge of the flag, you can use the Pythagorean theorem to calculate the length of the hypotenuse (the diagonal line) and one of the legs (the horizontal distance from the bottom-left corner to the end of the diagonal line). The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
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What is the side side side theorem?
The side-side-side (SSS) theorem states that if three sides of one triangle are equal to the corresponding sides of another triangle, then the two triangles are congruent.
In other words, if the lengths of the sides of two triangles are the same, then the triangles must be the same shape and size.
For example, consider two triangles ABC and DEF. If we know that
AB = DE, BC = EF, and AC = DF,we can use the SSS theorem to conclude that triangle ABC is congruent to triangle DEF.
It is important to note that the SSS theorem is only applicable if the three sides of each triangle are equal in length. If the sides are not equal, the theorem does not apply and we cannot use it to prove the congruence of the triangles.
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What is the solution to the system of equations y =- 3x 2 5x 2y 15?
The solution of the given system of equation is (-19, 55).
In the given question we have to find the solution to the system of equations:
y = -3x-2 and 5x + 2y = 15
We can solve the system of equation using the substitution method.
In substitution method we have to put the the value of one variable from one equation to the other equation.
We have to equations:
y = -3x-2...................................(1)
5x + 2y = 15.............................(2)
Now putting the value of y from the equation 1 in equation 2
5x + 2(-3x-2) = 15
Now solving the equation using the distribution method.
5x - 6x - 4 = 15
Simplifying
-x - 4 = 15
Add 4 on both side we get
-x = 19
Now the value of x is -19.
Now putting the value of x in equation 1
y = (-3)*(-19)-2
y = 57-2
y = 55
Hence, the solution of the given system of equation is (-19, 55).
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The right question is:
What is the solution to the system of equations y = -3x-2, 5x+2y=15?