The math topics covered in the grade 6 math worksheets are algebra,geometry,measurement, number operation.
1. Number sense and operations: This includes understanding numbers, fractions, decimals, and integers, as well as performing operations with them.
2. Algebra: This includes understanding algebraic expressions and equations, and using them to solve problems.
3. Geometry: This includes understanding basic geometric concepts, such as lines, angles, and shapes, and using them to solve problems.
4. Measurement: This includes understanding measurement concepts, such as length, area, and volume, and using them to solve problems.
5. Data analysis and probability: This includes understanding basic concepts of statistics, such as mean, median, and mode, and using them to analyze data and make predictions.
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The base of a right rectangular prism and a rectangular pyramid is 4 [tex]cm^{2}[/tex]. The height of the pyramid is 3 times larger than the prism. How does the volume of the pyramid compare to the volume of the prism?
Question 3 options:
A) The volume of the pyramid is 3 times larger than the prism.
B) The volume of both shapes are the same.
C) The volume of the pyramid is 9 times larger than the prism.
D) The volume of the pyramids is 1/3 times larger than the prism.
Yhe volume of both the prism and the pyramid are the same. The right response is B, which states, "The volume of both shapes is the same."
What is the straightforward meaning of volume?
Three-dimensional space is occupied by everything. Here, the volume of the space is calculated. A three-dimensional object's volume is the area included inside its bounds. It is also referred to as an object's capability occasionally.
[tex]\mathrm{h_{py} = 3 \times h_p}[/tex]
The volume of the prism is given by:
[tex]V_p[/tex] = base area × height = 4 cm² × [tex]h_p[/tex]
The volume of the pyramid is given by:
[tex]\mathrm{V_{py}}[/tex] = (1/3) * base area * height = (1/3) * 4 cm² * [tex]h_{py[/tex]
Using the equation for [tex]h_{py[/tex] from above, we can substitute:
[tex]\mathrm{V_{py}}[/tex] = (1/3) * 4 cm² * 3 * [tex]h_p[/tex] = 4 cm² * [tex]h_p[/tex] = [tex]V_p[/tex]
So the volume of both the prism and the pyramid are the same. The right response is B, which states, "The volume of both shapes is the same."
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8x+12y=−96 into slope intercept from
please help!! write a compound inequality
The compound inequality is x < 1 or x >= 3
How to determine compound inequalityFrom the question, we have the following parameters that can be used in our computation:
The number line
From the number line, we have the following readings
x is less than 1 (exclusive of 1)
x is greater than or equal to 3 (inclusive of 3)
Using the above as a guide, we have the following:
x < 1 or x >= 3
Hence, the solution is x < 1 or x >= 3
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PLEASE HELP. NEED ANSWER ASAP. CANT FAIL.
There are two imaginary roots and one real root of the equation
What is the root of an equation?Generally, In mathematics, the root of an equation is a value that satisfies the equation. In other words, it is the value of the variable for which the equation is true. For example, in the equation x^2 - 4 = 0, the roots are +2 and -2, because when either of these values is substituted for x, the equation becomes true.
There are different methods for finding roots of an equation, depending on the type of equation. For example, some equations can be solved by factoring, while others require the use of more advanced techniques such as the quadratic formula or numerical methods like the Newton-Raphson method.
In general, finding the roots of an equation is an important task in mathematics and has many practical applications in fields such as engineering, physics, and finance.
The roots of the equation are
x=-2,3+2 i, 3-2 i
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HURRY PLEASE!!!
You want to fill half of the green cylinder with MONEY!
How many cubic centimeters of MONEY will half of this cylinder hold?
1.1 meters = 110 cm
Don't put the comma in your answer.
The Cylinder can hold 138, 160 cm³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.
Given:
Height= 1.1 m = 110 cm
Radius= 20 cm
Now, Volume of Cylinder
= πr²h
= 3.14 x 20 x 20 x 110
= 3.14 x 44000
= 138, 160 cm³
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Micah wants to know the most common style of surfboard used at Breakers Point. He surveys surfers at Breakers Point between 8:00 A.M. and 12 P.M. Select all the statements that are true about Micah’s survey.
Micah will obtain a random sample by talking to as many surfers as possible.
The population for the survey is all people who surf at Breakers Point.
Micah will not get a representative sample.
Micah's sample will be representative because anyone can surf at Breakers Point.
Micah's sample is all people who surf at Breakers Point.
The statements which are true about Micah's survey are;
Micah will not get a representative sample.The population for the survey is all people who surf at Breakers Point.Which statements are true about Micah's sample?As evident in the task content; Micah wants to know the most common style of surfboard used at Breakers Point.
Hence, it can be inferred that the population of the survey in this context is; all people that surf at Breakers Point.
Also, since Micah only surveys surfers between 8:00 AM and 12:00 PM, it follows that; Micah will not get a representative sample.
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the standard deviation is a resistant measure of spread. t/f
True, the standard deviation is a resistant measure of spread.
The standard deviation is calculated as the square root of the variance of the data set. Variance is calculated as the average of the squared differences between each data point and the mean of the data set. The standard deviation is the square root of this average.
In mathematical terms, the standard deviation can be calculated using the following formula:
σ = √(1/n ∑(x - μ)²)
Where σ is the standard deviation, n is the number of data points in the data set, x is the value of the i-th data point, and μ is the mean of the data set.
The standard deviation is an important measure because it gives an idea of how much the individual values in a data set differ from the mean.
In summary, the standard deviation is a resistant measure of spread because it gives a robust measure of the spread of the data in a set and is not easily influenced by outliers or extreme values.
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A construction worker places 60 bricks to make a wall. If he places 6 bricks in each column, how many columns are there?(1 point)
Answer:
10 columns
Step-by-step explanation:
[tex]\frac{60}{6}=10[/tex] columns
Which rule describes the relationship between the x-and y- coordinates
on the following graph?
PLS ANSWER FAST
Answer:
The answer is B.
Step-by-step explanation:
Method #1 use point slope formula to solve for m of slope.
Method #2 Plug in x-values into option A or B to see you get your dots.
what is the value of 77 degrees f in c?
The value of 77 degrees Fahrenheit (°F) is equal to 25 degrees Celsius (°C).
The conversion from Fahrenheit to Celsius involves a simple mathematical formula, which is as follows:
°C = (°F - 32) x 5/9
In this formula, °F represents the temperature in degrees Fahrenheit, while °C represents the temperature in degrees Celsius.
To convert 77 degrees Fahrenheit to Celsius, we first plug in the value of 77 for °F:
°C = (77 - 32) x 5/9
Next, we simplify the expression inside the parentheses:
°C = 45 x 5/9
We can simplify this further by multiplying 45 and 5/9:
°C = 225/9
We can then simplify this fraction by dividing both the numerator and denominator by the greatest common factor, which is 9:
°C = 25
Therefore, we conclude that 77 degrees Fahrenheit is equivalent to 25 degrees Celsius.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
I think its a is one of them, im not completely sure tho
Step-by-step explanation:
please answer thank you!!!!!!!!!
The measure of the angle formed by 2 secants that have a common point outside a circle is 1/2 the difference of the measure of the further intercepted arc and the closer intercepted arc. That means that half of the the measure of arc ABC - measure of arc XYZ is the measure of angle X. Substituting the given values gives you the equation x = 1/2 (125-45)
Then you can solve.
x = 1/2 (80)
x = 40
The measure of angle X is 40 degrees
All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. How many 3 digit dropdown numbers are there?
Answer:
112
Step-by-step explanation:
You want the number of 3-digit "dropdown numbers".
Dropdown numberA "dropdown number" has distinct digits, one of which is the average of all digits.
We can count the number of dropdown numbers by considering the digit that is the average of the rest. For that digit (n), the number of possible choices of the other digits is the lesser of (n) or (9-n). For example, for n=2, we can have other digit pairs of (0, 4) or (1, 3). For n=6, we can have other digit pairs of (5, 7) or (4, 8) or (3, 9).
CountingThe value of n may range from 1–8, inclusive, so the number of digit triples will be 2(1 +2 +3 +4) = 20. Each triple of digits can be arranged 6 ways, for a total of 20·6 = 120 numbers of 3-digits.
Of those, 8 numbers will have a leading 0, so may not count as 3-digit numbers. That leave a total of 120 -8 = 112 3-digit dropdown numbers.
__
Additional comment
The first 5 in numerical order are ...
102, 120, 123, 132, 135
The last 5 are ...
957, 963, 975, 978, 987
In general, a number on the list, m, has a corresponding number 999-m also on the list. The exceptions are numbers that have a leading digit of 0.
An airplane covers 2 124 kilometres in 6 hours. How many minutes does it take to cover 1 770
kilometres?
Answer:
Step-by-step explanation:
It would take 300 minuets
Linear equations test
-3/4 is slope of the linear equation 3x+4y=5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The standard form for linear equations in two variables is Ax+By=C.
3x+4y=5 is a linear equation in standard form.
4y=5-3x
Divide both sides by 4
y=5/4-3/4x
y=-3/4x+5/4
The slope of the equation is -3/4.
Hence, the slope of the linear equation is -3/4.
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The complete question is given below:
Find the slope of linear equation 3x+4y=5?
for each circle find the exact circumference in terms of pi 3mm 7mm
The AB intersects circle P if PA is 7mm and PB is 3mm it must exit the circle, and it has 2 contact points.
PA is longer than the radius of the circle so Point A must be outside of the circle.
What is the meaning of intersecting circles?Two or more circles intersect at one point. Two circles can be tangent to each other in two different ways.
here, we have,
We have given that,
AB lies in the same plane as circle P, which has a radius of 6 mm.
PB is less than the radius of the circle so Point B must be inside the circle.
Since the ray is going from A to B it is coming inside the circle and continuing in the other direction.
Therefore, it must exit the circle, giving us 2 contact points.
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Can I please have some help? THanks
By using the function rule, the missing values in table should be completed as follows;
x -2 -1 0 1 2
y -16 -6 4 14 24
How to complete the table?In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;
When the value of x = -2, the y-value of this linear function is given by;
-10x + y = 4
y = 10x + 4
y = 10(-2) + 4 = -16.
When the value of x = -1, the y-value of this linear function is given by;
y = 10x + 4
y = 10(-1) + 4
y = -6.
When the value of x = 0, the y-value of this linear function is given by;
y = 10x + 4
y = 10(0) + 4
y = 4.
When the value of x = 1, the y-value of this linear function is given by;
y = 10x + 4
y = 10(1) + 4
y = 14.
When the value of x = 2, the y-value of this linear function is given by;
y = 10x + 4
y = 10(2) + 4
y = 24.
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Superior segway tours gives sightseeing tours around chicago, illinois. it charges a one-time fee of $60, plus $28 per hour. what is the slope of this situation? a. 28 b. 32 c. 60d. 88
Answer:
the answer is (a) 28.
Step-by-step explanation:
The given situation can be represented by a linear equation of the form:
Cost = mx + b
where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).
In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:
m = $28/hour
Therefore, the answer is (a) 28.
Suzanna has $20. Candy bars
cost $0.50. How many candy
bars can she buy and still
have more than $7 left?
Answer:
Step-by-step explanation:
Divide 20 by 0.50. This gets you 40 meaning she can buy 40 candy bars with her $20 if they are $0.50 each. In order to have $7 left over then she would buy 14 candy bars.
Shondra takes notes in class.
Three entries in Shondra’s notes are not in the right place. What can Shondra do to correct her notes?
Step-by-step explanation:
What notes are you speaking of?
25 points! the radius r of a sphere with volume v is given by r= (3v/4π)
find the radius of a ball that hold 66 cubic centimeters of air.
Answer:
To find the radius of a ball that holds 66 cubic centimeters of air:
1. Substitute the given volume into the equation r= (3v/4π): r = (3*66/4π).
2. Simplify the equation: r = (198/4π).
3. Calculate the value of 4π: 4π = 12.57.
4. Divide 198 by 12.57: r = 15.75.
5. The radius of the ball that holds 66 cubic centimeters of air is 15.75 cm.
Answer:
Step-by-step explanation:
To find the radius of a sphere that holds 66 cubic centimeters of air, we can use the formula provided in the question:
r = (3v/4π)
where v is the volume of the sphere. We are given that the volume of the sphere is 66 cubic centimeters, so we can substitute this value into the formula:
r = (3 x 66) / (4 x π)
Simplifying this expression:
r = 198 / (4π)
Using a calculator to evaluate this expression:
r ≈ 15.8267
Therefore, the radius of the sphere that holds 66 cubic centimeters of air is approximately 15.8267 centimeters.
which terms are used to describe events that have NO outcomes in COMMON?
Events that have no outcomes in common are said to be disjoint or mutually exclusive.
Two sets are known to be mutually exclusive when they have no common elements. Mutually exclusive events are those that cannot take place at the same moment.
If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.
Set A = {2, 4, 6, 8, 10, 12, 14, 16}
Set B = {1, 3, 5, 7, 9, 11, 13, 15}
A and B do not have any numbers in common, so P (A ∩ B) = 0. Therefore, A and B are mutually exclusive.
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What is 576 square root by division method?
Answer:
√576 = 24
Step-by-step explanation:
You want to find the square root of 576 by the long division method.
MethodThe attachment shows the result of applying the method.
The dividend is marked off in 2-digit groups working outward from the decimal point. An overline is typically used. Here, 76 is the group closest to the decimal point, and the next "group" is 5The integer part of the square root of the leftmost 2-digit group is written as the leftmost digit of the root. Here the integer part of the square root of 5 is 2, so that is the first root digit.The quotient digit is appended to the divisor, and the result is multiplied by the root digit. For the first step here, the digit 2 is appended to 0, and multiplied by the root digit 2. The product, 4, is subtracted from the dividend so far, and the next 2-digit group is appended to the result to form the next "dividend."The root so far is doubled and written as the first digits of the new divisor. This will be 2·2 = 4, with space left to append the next root digit: 4_.The next root digit is the largest integer that can be appended to the divisor, and multiplied by that divisor to obtain a value that is at most equal to the "dividend." Here, the second digit of the root is 4, and 44 · 4 = 176. This value is subtracted from the dividend resulting from step 3. Here, they are equal, so the difference is zero, and we're done. If there are more digits and/or the difference is not zero, then the process is repeated from step 3.The root of 576 is 24.
Emma created the poster shown below... What would be the dimensions of the poster at fraction 1 over 4 times its current size?
Answer:
6w by 9L
Step-by-step explanation:
24 x 1/4=6
36 x 1/4=9
Diane pays $3.84 for a bag of 16 tangerines.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
9th grade math i need help in
The fourth term in the sequence is 7.
What is Geometric Progression?Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.
This ratio is common ratio.
Given is the first term of a sequence.
c(1) = 56
Also, there is given an nth term of the sequence.
c(n) = c(n - 1) [tex]\frac{1}{2}[/tex]
This means that every term in the sequence is the half of the preceding term.
So this is a geometric sequence with a common ratio of 1/2.
nth term of a geometric sequence = a. rⁿ⁻¹, where a is the first term and r is the common ratio.
Given, first term = 56 and we found r = 1/2
c(4) = 56 × ([tex]\frac{1}{2}[/tex])⁴⁻¹ = 7
Hence the fourth term in the given sequence is 7.
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[TRUE or FALSE] finding a parametric description of the solution set of a linear system is the same as solving the system.
The statement is false. The solution set of a linear system can only be expressed using a parametric equation if the system has at least one solution.
Equation of this sort is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are specified as continuous and independent of other variables functions of the parameter Multiple parameters may be utilized as needed.For example, the following equation can be represented as a pair of equations in parametric form rather than the equation in Cartesian form: Parameterization, It effectively differentiates and integrates curves by converting a function into parametric form.
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A game store salesman had $3,500 in total monthly sales last month. He made $175
in commission from those sales.
What is the salesman's commission as a percent of his total monthly sales?
1. 3%
2. 4%
3. 5%
4. 6%
Answer:
4.6%
Step-by-step explanation:
3500+175 = 3675
(175/3675)×100 = 4.6%
Find the next three terms in the following arithmetic sequence.
-4, 5, 14, 19 …
The next three terms in the following arithmetic sequence -4, 5, 14, 19 … include the following:
Term 5 = 32.
Term 6 = 41
Term 7 = 50
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Next, we would determine the common difference as follows.
Common difference, d = a₂ - a₁
Common difference, d = 5 - (-4)
Common difference, d = 9
Next, we would determine the next three terms as follows:
a₅ = a₁ + (n - 1)d
a₅ = -4 + (5 - 1)9
a₅ = 32
a₆ = a₁ + (n - 1)d
a₆ = -4 + (6 - 1)9
a₆ = 41
a₇ = a₁ + (n - 1)d
a₇ = -4 + (7 - 1)9
a₇ = 50
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How to Convert 30x+120y=420 into y=mx+b form?
Answer:
y=-0.25x+3.5
Step-by-step explanation:
Ik this