Plot the numbers -2 and 5/6 and 7/3 on the number line
Answers
For the first one go -2 back, then go 5/6th of the way to -3. For the next one, convert to a mixed fraction by dividing the numerator as many times as possible by the denominator, putting the result as the whole number off to the left, then put the remainder as the numerator and keep the same denominator.
Related Questions
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Let f(x)=e* and g(x)= X+6. What are the domain and range of (gºf)(x)?
If f (x) = 3x + 2 and g(x) = x^2 + 1 which expression is equivalent to ( f o g) (x)
Marta uses 1 piece of paper and 1 piece of ribbon to make kites. The paper comes in packs of 3 and the ribbon comes in packs of 4. What is the least number of kites Marta can make without any supplies left over?
Answers
Mixed fraction is converted to improper 17/8.
What is Fraction?
A fraction represents a part of a whole.
Fractions are of three types.
Proper, Improper and mixed fractions.
In proper fraction the numerator is less than the denominator.
The improper fraction is a fraction whose numerator is larger than the denominator.
The given mixed fraction is converted to improper
2×8+1/8
16+1/8
17/8
Hence, mixed fraction is converted to improper 17/8.
To learn more on Fractions click:
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Answers
Answers
Exponent
Multiply
Divide
Add
Subtract
First Parenthesis
So we have 80+5=85.
Now let's rewrite the problem. 10*85*6-1.
I put the * sign because when you have a number like this: (10+5)1 It means you will subtract it by the number outside of the parenthesis. Now we need to move onto multiplication because there are no exponents so we skip that.
Lets multiply from left to right.
So we have 10*85*6-1 so lets start with 10*85=850
Now we have
850*6-1 So let's do 850*6=5100
Now 5100-1=5099
So your answer is 5099
Answers
Answer:
1/3
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
9/27 = 1/3
Check by dividing the third term by the second
3/9 = 1/3
and so forth
1/3 = 1/3
etc
The common ratio is 1/3
Answers
3 1/2
Hopes that helps
Answer:
3 1/2
Step-by-step explanation:
y-4=1/2(x-8)
Answers
Here's how:
2y+x-16
——————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2y+x-16 = 0
Equation of a Straight Line
4.2 Solve 2y+x-16 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y+x-16 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000
y-intercept = 16/2 = 8
Calculate the X-Intercept :
When y = 0 the value of x is 16/1 Our line therefore "cuts" the x axis at x=16.00000
x-intercept = 16/1 = 16.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 7.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 7.000 - 8.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -1.000/2.000 = -0.500
Geometric figure: Straight Line
Slope = -1.000/2.000 = -0.500
x-intercept = 16/1 = 16.00000
y-intercept = 16/2 = 8
Geometric figure: Straight Line
Slope = -1.000/2.000 = -0.500
x-intercept = 16/1 = 16.00000
y-intercept = 16/2 = 8
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-4-(-1/2*(x-8))=0
Step by step solution :
Step 1 :
1
Simplify —
2
Equation at the end of step 1 :
1
(y - 4) - (0 - (— • (x - 8))) = 0
2
Step 2 :
Equation at the end of step 2 :
(x - 8)
(y - 4) - (0 - ———————) = 0
2
Step 3 :
Rewriting the whole as an Equivalent Fraction :
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
y - 4 (y - 4) • 2
y - 4 = ————— = ———————————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(y-4) • 2 - ((8-x)) 2y + x - 16
——————————————————— = ———————————
2y + x - 16
——————————— = 0
2
Step 4 :
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero
Here's how:
2y+x-16
——————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
2y+x-16 = 0
Equation of a Straight Line
4.2 Solve 2y+x-16 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y+x-16 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 8/1 so this line "cuts" the y axis at y= 8.00000
y-intercept = 16/2 = 8
Calculate the X-Intercept :
When y = 0 the value of x is 16/1 Our line therefore "cuts" the x axis at x=16.00000
x-intercept = 16/1 = 16.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 8.000 and for x=2.000, the value of y is 7.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 7.000 - 8.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)