The inequality that represents the problem "6 less than a number greater than four" is x - 6 > 4.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Consider the statement,
6 less than a number greater than four.
Let x be the number.
The symbol " > " can be represented as a number greater than another.
Then 6 less than a number greater than 4 can be represented as:
x - 6 > 4
The inequality x - 6 > 4 can be represented for the problem " 6 less than a number greater than four".
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In the class students the following data table summarizes how many students have a brother or sister what is the possibilities that the students chosen randomly from the class have brothers and sisters
From the table we notice that we survey a total of 26 students; 4 of them have sisters and brothers, therefore the probability we are looking for is:
[tex]P=\frac{4}{26}=\frac{2}{13}[/tex]The midpoint of AB is M(3,-2). If the coordinates of A are (8, 4), what are the
coordinates of B?
The coordinate of B is (2,-8).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-2) and the coordinates of A are (8, 4).
The midpoint will be calculated by using the formula below:-
[tex]\frac{8+x}{2}[/tex] = 3
8 + x = 6
x = -8 + 6 = -2
x = -2
Similarly for y
[tex]\frac{4+y}{2}[/tex] = -2
4 + y = -4
y = -8
Hence, The coordinates of the point B will be (-2,-8).
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A line has a slope of 4 and includes the points (-5, t) and (-3, 9). What is the value of t?
Answer:
Please see attachment for explanation and answer.
Write the phrase 20 divided by x minus 3 is 12 as a variable expression
The phrase of variable expression is (x - 3) / 20 = 12
Variable Expression:
A variable expression (or) an algebraic expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Given,
20 divided by x minus 3 is 12 as a variable expression.
Write the phrase of above given.
20 divided by x minus 3 is 12
(x - 3) / 20 = 12
Hence, The phrase of variable expression is (x - 3) / 20 = 12
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a man 6 feet tall is walking at a rate of 3 ft/s toward a street light 18 ft high. at what rate is the tip of the shadow moving? at what rate is the shadow length changing?
Answer:
Step-by-step When he is 10 feet from the base of the light, the rate at which the tip of his shadow moves is 10ft/s (b) When he is 10 feet from the base of the light, the rate at which the length of his shadow changes is 4ft/s
Regina has 3 yards of yarn. She
needs 3/4 yard for each shawl she
makes. How many shawls can she
make?
Answer:
Regina can make 4 shawls.
Step-by-step explanation:
To find the unit rate you do 3 divided by 3/4. You get 4. That is how many shawls she can make. To check this you can multiply 4 by 3/4 to get 3.
Please mark Brainliest!
Answer:
4
Step-by-step explanation:
what is QR????????????????????????????????
The length QR of the similar triangles given is; QR = 34
How to solve similar triangles?
Similar triangles are defined as triangles that have the same shape, but then their sizes may differ. What this means is that all equilateral triangles and even squares of any side lengths are examples of similar objects.
Now, from the given image we see showing the triangles, we can see that line RS is parallel to line QT. This means that we can use the concept of ratio of similar triangles to generate the unknown length QR.
Thus;
QR/(QR + QU) = ST/(US)
Thus;
QR/(17 + QR) = 42/63
QR/(17 + QR) = 2/3
3QR = 34 + 2QR
3QR - 2QR = 34
QR = 34
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Pls help ASAP due in an hr.
for the line slope on the bottom two answers are -4/3 and -3/4
There are 2 pictures.
1. (x,y)=(-1,5),(0,2),(1,-1),(2,-4). Option -3 is correct.
2. The slope of the line is 4/3. Option-1 is correct.
Given that,
There are 2 pictures.
In the first picture we have to find which table satisfy the equation.
In the second picture we have to find slope of the given graph.
First,
The given equation is y=-3x+2
In every option the x values are same that is -1,0,1,2.
Substitute x value as -1,0,1,2
Taking x as-1
y=-3(-1)+2
y=3+2
y=5
Taking x as 0
y=-3(0)+2
y=2
Taking x as 1
y=-3(1)+2
y=-3+2
y=-1
Taking x as 2
y=-3(2)+2
y=-6+2
y=-4
Therefore, we got (x,y)=(-1,5),(0,2),(1,-1),(2,-4). Option -3 is correct.
Now, We see the second picture.
Given line point are (2,2) and (-1,-2)
Slope of the line formula is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slope =(-2-2)/(-1-2)
Slope=-4/-3
Slope=4/3
Therefore, the slope of the line is 4/3. Option-1 is correct.
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Help me out and quick
The coordinates of the image of point B after the transformations is (4,3) .
What are the coordinates?
Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space latitude and longitude coordinates.
Hence, the coordinates of the image of point B after the transformations is (4,3).
Identify all the lines on the graph with unit rates that are less than 2 and greater than the unit rate of the relationship in the table. x y 7 8 14 16 21 24 line 1 line 2 line 3 line 4 line 5 Reset Next Post Test: Linear Equations
Recall that rise/run describes the slope, or the average unit rate of change.
So, what is the slope for the table's function? To get it, we can choose any two points, or we can take the first point's rise of 8 and run of 7, which gives us a slope of 8/7 or 117.
Now look at the lines; you'll see that they all have a horizontal "rise" of 6 and all lie on the y = 6 line.
1) Rise = 6, Run = 2, and Slope = 6/2 = 3.
3 is more than 2, thus that one is a no.
2) Run = 3, rise = 6, and slope = 6/3 = 2.
Since 2 Equals 2, that one is also invalid.
3) Rise (6), Run (4), and Slope (6/4), 3/2.
You may check that 3/2 is truly less than 2 and bigger than 8/7. so this is correct
4) Rise (6), Run (5), and Slope (6/5).
6/5 or 115 are greater than 8/7 and unquestionably less than 2, therefore.
5) Rise (6), Run (6), and Slope (6/6), equals (1).
It goes without saying that 1 is less than 2, but it is also less than 8/7, as 8/7 is actually 117.
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The greatest common monomial factor of 12x^2+48x^4?
The greatest common monomial factors for the above equation is: x = 0
What is monomial factor?
Monomial equations in mathematics are quadratic equations with a greatest degree of one. These expressions are classified as monomial, binomial, trinomial, etc. and fall within the category of polynomial equations.
The answer to the query provides the following equation for the greatest common monomial factor:
Required formula: 12x2 + 48x4.
[tex]12x^{2}+ 48x^{4}=12x^{2}(1+48x^{2})[/tex]
Now, equate the calculated equation to zero:
[tex]12x^{2}(1+48x^{2})=0[/tex]
Hence, the greatest common monomial factors for the above calculated equation is: x = 0
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Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y.
Answer:
Both are correct
Step-by-step explanation:
Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
Given information:
Jared found that for one equation and substituted for y in the other equation.
Nicole found for the one equation and substituted for x in the other equation.
So, there are two equations. Based on the question, the equation should be,
and .
Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.
This method is the substitution method which is used to find the solution of the system of equations.
Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
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hi help please thanks
Answer:
Angle 2 + Angle 3 = 180 degrees
Step-by-step explanation:
Brainliest please!
Determine which set of side measurements could be used to form a triangle. 12, 23, 7 10, 7, 2 8, 3, 11 5, 11, 8
The set of side measurements that could be used to form a triangle is Nil. That is none of the side measurements given can be used to form a triangle.
The theorem used here is called the Pythagorean Triple. See further explanation below.
A Pythagorean triple is made up of three positive numbers, a, b, and c, so that a2 + b2 = c2. This type of triple is widely written, and one well-known example is. If is a Pythagorean triple, then any positive integer k is as well. A primitive Pythagorean triple has a coprime a, b, and c.
Note that according to the above rule, all sums are positive. The is the longest side of a triangle.
First arrange all the set of numbers such that the highest comes last.
Set A: 7, 12, 23,
Set B: 2, 7, 8
Set C: 3, 5, 11
Set D: 5, 8, 11
Next, apply the Pythagorean Tripple
Set A: 7² + 12² = 23² ?
7² + 12² = 193
23² = 529
Hence
7² + 12² ≠ 23² Hence Set A cannot be used to form a triangle.
This process is repeated for Set B through D
Set B is given as: 2² + 7² ≠ 8²
Hence, Set B cannot be used to form a triangle.
Set C is given as: 3² + 5² ≠ 11²
Hence, Set C cannot be used to form a triangle.
Set D is given as: 5² + 8² ≠ 11²
Hence, Set D cannot also be used to form a triangle.
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a forest fire leaves behind an area of grass burned in an expanding circular pattern. if the radius of the circle of burning grass is increasing with time according to the formula r(t)
The area burned as a function of time is (4t² + 4t + 1)π.
There is a forest fire. The forest fire leaves behind an area of grass burned in an expanding circular pattern.
The radius of the circle of burning grass is increasing with time according to the formula r(t) given below :
r(t) = 2t + 1
We need to find the area burned as a function of time.
The equation for the area of the circle is given below :
The area of the circle is πr².
We need to replace the value of radius "r" in the equation with the function given above in terms of time.
A = πr²
A = π(2t + 1)²
A = π(4t² + 1 + 4t)
The area burned as a function of time is (4t² + 4t + 1)π.
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1.-Draw a box-and-whisker plot for the data set
12, 5, 22, 30, 7, 36, 14, 42, 15, 53, 25
The box-and-whisker plot of the data is given below.
What is box-and-whisker plot?
When we plot a graph for the box plot, we outline a box from the first quartile to the third quartile. A vertical line that goes through the box is the median. The whiskers (small lines) go from each quartile towards the minimum or maximum value.
Given data is
12,5,22,30,7,36,14,42,15,53,25
First we will arrange it in ascending order.
5,7,12,14,15,22,25,30,36,42,53
The maximum and minimum value are 5 and 53.
First quartile is 3 and third quartile is 9
median is 22 (middle term).
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A polynomial function has zeros at -2, 0, and 10 (all multiplicty of 1). Write a function in standard form that could represent this function.
The standard form is p(x) = x³ - 8x² - 20x
What is polynomial function?
A polynomial function is a function such as a quadratic, a cubic, a quadratic, and so on, involving only non-negative integer powers of x.
Given, A polynomial function has zeros at -2, 0, and 10.
The factors in 'x' will be, (x+2) (x - 0) and (x - 10)
Now, multiply the factors if we want the polynomial from zeros
p(x) = (x+2) (x-0) (x-10)
p(x) = (x²+2x) (x - 10)
p(x) = x³ - 10x² + 2x² - 20x
p(x) = x³ - 8x² - 20x
Hence, the standard form is p(x) = x³ - 8x² - 20x
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A rectangle has a length of 24 inches and a width of 13 inches. If 1 inch = 2.54 centimeters, find the area of the rectangle in centimeters. Round the answer to the nearest tenth.
A. 48.4 cm2
B. 480.4 cm2
C. 792.5 cm2
D. 2,012.9 cm2
Ill give brainly to whoever can answer correctly and fast!
If the rectangle is 24 inches long and 13 inches wide and given that 1 inch is equal to 2.54 centimeters, the rectangle's area is 2012.9 sq cm.
What is a rectangle?The two-dimensional geometry is described as having 90-degree angles between consecutive sides. It is a specific kind of quadrilateral. the area that a rectangle takes up in two-dimensional planning geometry.
The following formula can be used to determine a rectangle's area:
Rectangle area = length x width
It is given that, the dimensions of a rectangle are 24 inches long by 13 inches wide.
If 2.54 centimeters equal one inch, The following unit conversion is obtained as,
1 inch = 2.54 centimeters
L = 24 inches = 24 × 2.54 = 60.96 cm
W = 13 inches = 13 × 2.54 = 33.02 cm
The area of the rectangle is,
A = L × W
A= 60.96 × 33.02
A=2012.9 cm²
Thus, if a rectangle has a length of 24 inches and a width of 13 inches, the area of the rectangle will be 2012.9 sq cm.
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Write and solve the inequality that represents negative one fifth is greater than or equal to the product of negative two thirds and a number.
negative two thirds is less than or equal to negative one fifth y where y is less than or equal to two fifteenths
negative two thirds is less than or equal to negative one fifth y where y is greater than or equal to negative three tenths
negative one fifth is greater than or equal to negative two thirds y where y is greater than or equal to three tenths
negative one fifth is less than negative two thirds y where y is less than or equal to negative two fifteenths
The solved inequality is y is greater than or equal to three tenths
How to solve inequality?The inequality is represented as negative one fifth is greater than or equal to the product of negative two thirds and a number.
Therefore,
let
the number = y
- 1 / 5 ≥ - 2 / 3 × y
- 1 / 5 ≥ - 2 / 3 y
multiply both sides of the inequality by - 3 / 2
Therefore,
- 1 / 5 (- 3 / 2) ≤ y
3 / 10 ≤ y
y ≥ 3 / 10
Therefore, y is greater than or equal to three tenths
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Chee was out at a restaurant for dinner when the bill came. Her dinner came to $23. She wanted to leave a 20% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answer:
7788987797998789878888878999999
Please help!!!!
If 5 pounds of ground beef is enough to make 15 hamburgers, how much ground beef should you
buy if you plan to make 27 hamburgers?
Answer:
9
Step-by-step explanation:
5p=15, 15/5=3 so p=3
to find how many pounds (p) for 27, use the equation:
3x=27
27/3= 9
5x3=15
9x3=27
14. What is the degree of the polynomial 3x5-6x² + 5x?
8
2
5
7
Answer:
Step-by-step explanation:
The degree is the largest exponent on the variable
Therefore your answer is 5
Compare | -0.05 | and | -0.005 |.
What type of reasoning is used to find the next amount of train cars? Explain your answer.
Answer:
if I'm not wrong I believe it's inductive reasoning
Since you're just observing the pattern here (train goes times 2 so the next thingy would prob be 8 I guess)
If this isn't about deductive and inductive reasoning I am SUPER sorry for giving you the wrong answer^^
The graph shows the function y = 3x - 1. What are the coordinates of the intercepts?
(0, -1) and (1/3, 0)
(0, 1/3) and (3, 0)
(0, 1/3) and (-1, 0)
(0, -1) and (3, 0)
The coordinate of the intercepts of the graph are (0, -1) and (1/3, 0).
What is termed as the coordinate intercepts?An intercept is a y-axis point whereby the slope of a line passes. It is the y-coordinate of a point on the y-axis in which a straight line or a curve intersects. This is represented by the equation for a straight line, y = mx+c, where m is the slope and c is really the y-intercept.There are two types of intercepts: x-intercept and y-intercept. The x-intercept is the point in which the line crosses the x-axis, and the y-intercept is the point in which the line crosses the y-axis.The equation of the line is given as;
y = 3x - 1.
For x-intercept put y = 0;
0 = 3x - 1.
x = 1/3
x-intercept = (1/3, 0)
Now, for y-intercept, put x = 0.
y = 3x0 - 1
y = -1
y-intercept = (0 , -1)
Thus, the coordinates of the intercepts are (0, -1) and (1/3, 0).
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What is the range of the relation? {(-4,1), (-2, 0), (8,-1)}
Answer:
The range of the relation is {1, 0, -1}.
Step-by-step explanation:
The range of a relation will be all the y-values in the ordered pairs.
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E Knowledge Check
Question 3
Amanda cut away 1.58 meters of rope. Before that, she had 3 meters of rope. How much rope does Amanda have left?
Answer:
the answer is 1.42
Step-by-step explanation:
1: the total number of the rope is 3 and when we take away 1.58 it is equal to 1.42.
2: 3-1.58=1.42
Graph the line with slope -2 passing through the point (-1, 2).
The measure of an angle is 61.8°. What is the measure of its supplementary angle?
Answer:
118.2°
Step-by-step explanation:
Supplementary angles are angles that sum up to 180°. 180 - 61.8 = 118.2°, so that's you answer.
Answer:
118.2°
Step-by-step explanation:
supplementary means angle so it makes 180°
180-61.8=118.2°
Helppppp I fr need the answers now n with a quickness
Answer:
I think the answer is A,because rational number means integer that described by the form of fraction
