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Algebra
The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.
227,579 Questions
7 groups of 7
times table for 7s
7 x 1 = 7
7 x 2 = 14
7 more and more and more. answer: 7 x 7 = 49
What is the area of an living room in square feet if the living room is 11 ft by 15 ft?
Just multiply the two numbers together.
11fty X 15 ft= 165 sq.ft.
NB Note the units; NOT ft^(2). Ugh!!!! But 'sq, ft.'
Does a parallelogram rectangle have a reflex angle?
No, parallelograms and rectangles cannot have reflex angles. This is because
1. The sum of their interior angles must be 360 degrees.
2. Opposite angles must be equal.
3. If it were the case that a reflex angle existed, two angles would have to be greater than 180 by 2.
4. But by 1, the two angles would now sum over 360, and that cannot occur for a four-sided polygon.
well if you do 20 divided by 10, you'll get your answer which is 0.2. Simple. Trust me I'm a maths teacher in cambridge university! Yeah, I know
* * * * *
Never realised Cambridge had fallen on such hard times! 20/10 = 0.2! The least the person could have done is check the answer using a calculator if their mental maths was not up to scratch!
Anyway, 20 can be written as 20.0 as a decimal, although that does imply a greater degree of precision.
What do the numbers on the syringe mean?
How many millimeters of whatever medication is in the syringe
Which pair of numbers does the square root of 103 fall between?
The square root of 103 is roughly 10.14889157, so it is between root 100 (10) and root 121 (11).
What does column mean in math?
Column , to add/subtract vertically.
e.g.
123
+45
This is addition in column form . Start by going to the right hand column (The UNITS).; 3 + 5 = 8
'8' goes in the units column answer below the answer line.
Hence
123
+45
8
We then move to the next column to the left (The TENS); 2 + 4 = 6
'6' goes in the tens column answer below the answer line
Hence
123
+45
68
We then move to the next column to the left again (The HUNDREDS); 1 + 0 = 1
'1' goes in the hundreds column answer below the answer line
Hence
123
+45
168
=== The answer!!!!!
Subtraction
145
-23
122
--- The answer
Again you subtract (take away) column by column , starting from the right hand column. e.g. 5 - 3 = 2
et.seq.,
Personally I find the mechanical method of addition/subtraction far easier than the modern 'line number' system. In pre-calculator days , this would be the method used.
The column names are from the right
1 =Units
10 = tens
100 =- hundreds
1000 = thousands
10,000 = tens of thousands
100,000 hundreds of thousands
1,000,000 = millions
1,000,000,000 = billions
1,000,000,000,000 = trillions.
et seq
If a circle has a radius of 8 centimeters what is the diameter?
For all circles , however, large or small The diameter is twice the radius.
Diameter(d) equals(=) radius(r) plus(+) radius(r).
d = r + r
d = 2r .
NB The diameter is a straight line from the circumference to the centre , and then out to the opposite sided circumference.
It is NOT an angled line centred on the central point.
Is the square root of 6 rational or irrational?
sqrt(6) = sqrt(2 x 3) = sqrt(2) X sqrt(3)
Since '2' & '3' are prime numbers, their square roots are Irrational.
Hence
sqrt(2) X sqrt(3) = 1.4142... X 1.73205.... = 2.449489743... Is also irrational.
How do you factorise 14xy-21x plus 7?
14xy - 21x + 7
'7' is a common factor to all three coefficients. So 'take it out'.
Hence
7(2xy - 3x + 1)
The rest of it , inside the brackets does not factor.
However, I suspect the 'y' should be a 'power of 2'
Hence
7(2x^(2) - 3x + 1)
This factors to
7(2x - 1)(x - 1) Fully factored.!!!!
How do you use your calculator to evaluate log 25.65?
Please note that an expression like log 25.65 is ambiguous, since no base is specified. In this case, either base 10 or base e might be assumed, depending on the context.
In some calculators, especially older ones, you would press the number 25.65, then press one of the log keys. There is usually one for base 10, and one for base e. In newer calculators, you press the one of the log keys first, then the number, then something like enter.
No, but a line segment does
line segment:._____________________.
line:___________________________________________________________etc.
Is 3x equals 5y a linear equation?
YES!!!
When neither 'x' nor 'y' are taised to any power/index/exponent. then it is a linear equation.
3x = 5y
5y = 3x
Divide both sides by '5'
y = (3/5)x + 0
In other words it is a straight line, through the origin (0,0) of gradient '3/5'.
What is 37 and a half percent as a decimal?
Oh honey, it's simple math. 37.5% as a decimal is 0.375. Just move that pesky decimal point two places to the left and voilà, you've got your answer. Now go impress someone with your newfound decimal skills.
What are two numbers that have 6 as the GCF?
Oh, dude, you're hitting me with some math vibes here. So, if the greatest common factor (GCF) is 6, then any two numbers that are multiples of 6 would work. Like, 6 and 12, or 18 and 24, you know, just numbers that 6 can divide evenly into. Hope that clears things up for ya!
What is longer than 50 cm but shorter than 1 meter?
An object that is longer than 50 cm but shorter than 1 meter would fall within the range of 50 cm to 100 cm. This range is equivalent to 0.5 meters to 1 meter. Therefore, any object measuring between 50 cm and 100 cm would fit the criteria specified.
"36 I in a Y" is a cryptic way of expressing the phrase "36 inches in a yard." This is a conversion factor used in the United States customary system of measurement, where 1 yard is equivalent to 36 inches. It is important to understand these conversion factors when converting between different units of measurement to ensure accuracy in calculations.
To simplify the ratio 21 to 27, you need to find the greatest common divisor (GCD) of the two numbers, which is 3. Divide both numbers by 3 to simplify the ratio: 21 ÷ 3 = 7 and 27 ÷ 3 = 9. Therefore, the simplified ratio of 21 to 27 is 7 to 9.
What does the slope represent y=10x + 150?
The slope of this equation is 10 and the y intercept is 150
Bridge to Algebra 2001-2002 Marcy Mathworks?
Ah, the Bridge to Algebra workbook by Marcy Mathworks is a wonderful tool to help you strengthen your algebra skills. It's filled with engaging exercises and clear explanations to guide you on your math journey. Just take your time, follow along with the lessons, and remember, there are no mistakes in math, only happy little accidents.
What is the equal values method?
The equal values method is one of the methods used to solve systems of equations. Systems of equations are a set of equations with more than one variable. To use the equal values method, you would need 2 equations with 2 variables (say 'x' and 'y'). Not only that, but you would need both equations to have one of the variables isolated (by itself) on one side of the equal sign. Like {y=2x and y= x+4} or {x=3y and x=2y-2}. The first step in solving is to remove the isolated variables, and set the remaining expressions equal to eachother. This would look like 2x=x+4 in our first example. Solving for x would give you the x-value in the solution (x=4). To find the y-value in the solution, plug the 4 in for x (substituion) in one of the equation. So instead of y=2x, you would have y=2(4). So y=8 would be the y-value solution. The graphical use of this method is mainly to find the intersection of two lines when you have the equations in slope intercept form. This method can also be used in concext with word problems if you can write equations for the word problems. For example: Dustin makes 10 dollars per hour, and has 50 saved up. Sam makes 15 dollars per hour, and has 10 saved up. After how many hours of them working will they have the same amount of money. Dustin: y=10x+50. 'y' represents Dustin's money and 'x" represents hours worked. Sam: y=15x+10. 'y' represents Dustin's money and 'x" represents hours worked. Using the equal values method wold give you the solution!
