9 more than a number in mathematical expression is written as n+9.
Any two integers can be compared using the greater than and less than symbols. Greater than and less than symbols are used to indicate whether one number is greater than or less than another. The greater than sign (>) is used when the first number exceeds the second number. The less than sign (<) is used when the first number is less than the second number.
The quantity on the left of the > sign is the greater quantity. It could be a variable or expression [like 10x-2 > 50].
Let the number be n,
More than signifies addition. Therefore, the expression would be n+9.
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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?
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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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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Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.
Answer: x = 32/2
Step-by-step explanation:
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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Kardal used the trend line to predict that a man 72 inches tall would wear about a size 10. 5 shoe. What can be concluded about this prediction? check all that apply. The prediction is not reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 72 inches, but a shoe size can still be predicted. A prediction cannot be made without the linear regression equation. A 72-inch tall man will wear a size 11. 5 shoe.
The prediction is not reasonable and The prediction is an interpolation is correct
How to use a regression calculator to make a reasonable prediction given a data table?
Kardal used the trend line to predict that a man 72 inches tall would wear about a size 10. 5 shoe.
Given data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.
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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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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 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?
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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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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-3x - 8y = 20
-5x + y = 19
Answer:
x=4 y=-1
Simplify:
100+43y over 3 = 19
Step-by-step explanation:
-3x-8y=20
-5x+y=19
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 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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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.
There are 14 dogs in a particular class at a dog show. blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. in how many different ways can the ribbons be awarded?
a. 1,001
b. 6,006
c. 24,024
d. 38,416
As per the combination method, the number of ways can the ribbons be awarded is 24,024
The general formula to calculate the combination is written as,
nCr = n!/r! (n - r)!
where n refers the set or population and r refers subset of n or sample set
Here we have given that there are 14 dogs in a particular class at a dog show. blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers,
Here we need to find the number of different ways can the ribbons be awarded.
While we looking into the given question, the following details are given in it,
Total number of dogs = 14
Number of ribbons = 5
Which means that the value on n = 14 and the value of r = 5.
As per the given question we know that,
There are 14 possibilities for blue one
And then there are 14 - 1 = 13 possibilities for red ribbon.
And for the next yellow one has 12 possibilities
Then the white one has 11 possibilities.
Therefore, the total number of ways is
=> 14 x 13 x 12 x 11
=> 24024
Therefore, option (c) is correct.
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Do the one you would like please show work
Pipe will take 21.5 hours to fill tank completely.
How to solve pipes and cistern problems?A tank can be partially filled in 1 hour = 1/x if it takes x hours to fill it completely.
If the tank must be emptied in y hours, then the portion drained in an hour is equal to 1/y.
If a pipe can fill a tank and drain it in x and y hours, respectively.
When both pipes are opened simultaneously, the tank's net volume is filled in one hour using the formula (xy) / (y-x), provided y>x.
If a pipe can fill a tank and drain it in x and y hours, respectively.
When both pipes are opened simultaneously, the tank's net volume is filled in one hour using the formula (xy) / (x-y), provided x>y.
Net work completed equals the sum of all inlets' work (Sum of work done by Outlets)
Volume of tank be V
Pipe A and Pipe B together fill (1/9)V in one hour.
Pipe A fills (1/15)V in one hour.
Pipe B fills (1/9 - 1/15)V in one hour.
Solving for pipe B, we get
1/9 - 1/15
[tex]=\frac{15-9}{15*9}\\=\frac{6}{15*9}\\=\frac{2}{45}\\[/tex]
So, tank B will take total 21.5 hours to fill tank individually.
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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
10. A teacher buys 12 boxes of candies. There are 8 candies in each box. The
teacher wants to distribute candies among students so that all students get the
same number of candies and most of the candies are distributed. If there are
30 students in the classroom, how many candies does the teacher have left?
Answer:
6
Step-by-step explanation:
12*8=96
96/3= 3 remainder 6
What is the formula for solving quadrilaterals?
Therefore, the formula for solving the area of quadrilateral is given by
area of quadrilateral = 1/2(sum of perpendicular drawn from residual two vertices).
What is quadrilateral?
A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. It is made up of four linked non-collinear points. The sum of the internal angles of quadrilaterals is always 360 degrees.
According to the given question:
When the diagonal and the sum of the lengths of the perpendiculars traced from the remaining two vertices are known,
The area of the quadrilateral can be calculated as follows:
Area of quadrilateral = (1/2) diagonal length sum of the lengths of the perpendiculars drawn from the residual two vertices.
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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.
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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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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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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What is the formula in getting possible zeros in rational root theorem?
The formula in getting possible zeros in rational root theorem is given as ± p / q.
According to rational root theorem if a polynomial expression which is written in descending order of the exponents and has integer coefficients, then any rational zero must be of the form ± p / q
Here, p is a factor of the constant term or the numerator and q is a factor of the leading coefficient or the denominator.
As the name implies, the rational root theorem is used to find the rational solutions to a polynomial equation . Polynomial roots or zeros are the solutions we get when we solve a polynomial equation. A polynomial does not need required rational zeros only.
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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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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 :)
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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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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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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