convert 8/3 to a mixed number
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Work Shown:
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
The whole part is 2. The fractional part is 2/3.
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Another way you could do the problem is to use long division as shown in the diagram below.
The result of the long division is
8/3 = 2 remainder 2
The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.
So that's another way to get 2 & 2/3
The system of linear equations -2x+y=8 and -3x-y=7
Answer: x=-3, y=2
Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2
Answer:
(-3,2)
Step-by-step explanation:
You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing
Simultaneous is easier so lets get started.
1st equation : [tex]-2x+y=8[/tex]
2nd equation: [tex]-3x-y=7[/tex]
We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.
Like, take the 1st equation
[tex]-2x+y=8\\y=8+2x[/tex]
the equation is arranged in a different manner but its the same thing.
This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation
[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]
we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.
[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]
The solution set of our system of linear equations is
(-3,2)
9) Draw a graph of the linear equation y= -2/-5x +3
Solve for x . x^2+6x+6=0
Answer:
[tex]\boxed {x = \sqrt{3} - 3}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]x^2 + 6x + 6 = 0[/tex]
-When you use the quadratic formula ( [tex]\frac{-b\pm \sqrt{b^{2} - 4ac}}{2a}[/tex] ), it would give you two solutions. So, use the quadratic formula:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
-Simplify [tex]6[/tex] by the exponent [tex]2[/tex]:
[tex]x = \frac{-6\pm \sqrt{6^{2} - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
-Multiply both [tex]-4[/tex] and [tex]6[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 4 \times 6}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
-Add [tex]34[/tex] and [tex]-24[/tex]:
[tex]x = \frac{-6\pm \sqrt{36 - 24}}{2}[/tex]
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
-Take the square root of [tex]12[/tex]:
[tex]x = \frac{-6\pm \sqrt{12}}{2}[/tex]
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
-Now solve the equation when [tex]\pm[/tex] is plus, So, add [tex]-6[/tex] to [tex]2\sqrt{3}[/tex]:
[tex]x = \frac{-6\pm 2\sqrt{3}}{2}[/tex]
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-6 + 2\sqrt{3}[/tex] both sides by [tex]2[/tex]:
[tex]x = \frac{2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = \sqrt{3} - 3}[/tex] (Answer 1)
-Now solve the equation when [tex]\pm[/tex] is minus. So, Subtract [tex]2\sqrt{3}[/tex] from [tex]-6[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
-Divide [tex]-2\sqrt{3} - 6[/tex] by [tex]2[/tex]:
[tex]x = \frac{-2\sqrt{3} - 6}{2}[/tex]
[tex]\boxed {x = -\sqrt{3} - 3}[/tex] (Answer 2)
PLEASE HELP QUICK!!!!!
Answer:
C.
That is the closest answer since 8 times 10 6 times gets you 8 million.
Step-by-step explanation:
Answer:
C. 8×10⁶
Step-by-step explanation:
8,406,000 to nearest million is 8,000,000
8,406,000 = 8.406 × 10⁶
8,000,000 = 8 × 10⁶
PLS help in this questions. Thanks !
Answer:
D
Step-by-step explanation:
You are given the two sides and the abgle inbetween.
two questions in 1 more points added
Answer:
13
Step-by-step explanation:
The square root of 169 is 13
Answer:
The first one is 64
and for the second one i cant really see it, but it should be 4 radical 10
A carpenter cuts a circle out of a piece of wood. The radius of the circle is
about 23 inches. The carpenter cuts the circle into two semicircles. What is
the area of one semicircle to the nearest hundredth? Use 3.14 for
Answer:
830.53 in²
Step-by-step explanation:
To find the area of one semicircle, find the area of the full circle and divide it by 2:
Use the circle area formula, A = [tex]\pi[/tex]r²
Plug in 3.14 as pi, and plug in the radius:
A = [tex]\pi[/tex]r²
A = 3.14(23²)
A = 1661.06
Divide this by 2:
1661.06 / 2
= 830.53
So, the area of one semicircle is 830.53 in²
Answer:
850.53 in² is the answer
168 stickers for 24 students unit rate
Answer:
89/12
Step-by-step explanation:
Answer: The unit rate is 7 stickers per student!
Step-by-step explanation: This can be found by dividing the amount of stickers by the amount of students.
Hope this helps, if not, comment down below please!!!
I really don’t understand this question and I don’t know what to do
Help pls I need help
Answer:
3 3/7
Step-by-step explanation:
8/1 divided by 2 1/3 = 8/1 x 3/7
8/1 x 3/7 = 24/7
24/7 = 3 3/7
What is the equation of the line that passes through the point (-1, -5) and has a
slope of -3?
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
In a figure, such as a triangle or parallelogram, this is used to refer to the
length of one side.
Answer:
The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,
Step-by-step explanation:
V= 1/3lwh solve for w
Answer:
3V/l divide h
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
V = 1/3 lwh
The value of w is 3V/lh
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 5 = 4 is an expression.
We have,
V = 1/3 lwh
Multiply 3 on both sides.
3V = lwh
Divide both sides by lh.
3V / lh = w
w = 3V/lh
Thus,
V = 1/3 lwh
The value of w is 3V/lh
Learn more about expressions here:
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Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft
*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Answer:
1st box: 3
2nd box: 39
3rd box: 39
Have a great day, remember to wear a mask! :)
Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y
Answer:
x = 2
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis
A line parallel to it must also be a vertical line with equation
x = c ( c is a constant )
The only equation of this form is
x = 2 ← parallel to x = 4
If a system of linear equations has one solution, what does this mean about two lines?
Select all that apply.
a. Intersecting lines
b. No solution
c. One solution
d. Infinitely Many Solutions
e. (x,y)
Anyone know the answer to this?
a. 6x2
b. 2x3
c. 5x2
d. 4x2
e. 5x1
an angles measure is 9 degrees more than 2 times the measure of its supplement. Find the measure of the angle
Answer:
The angle would be 123°.
In rhombus JKLM, if m
6
13 Which statement about ş multiplied by 4 must be true?
The product is between 6 and 7.
B
6
The product is less than
7.
6
The product is between 5 and 4.
The product is greater than 4.
Solve for x. 0 = 2x² + 3x + 5
Answer: No real solutions.
Step-by-step explanation:
30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!!
Answer:3/12 is greater
Step-by-step explanation:
Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.
According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.
Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).
How do you make comparisons between an equation and a graph?
Answer:
here is a hint
Step-by-step explanation:
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
For linear equation,
Compare slope of an equation and slope of a line on graph and compare y-intercepts.
Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.
To learn more about an equation visit:
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Write the given equation in STANDARD FORM (slope standard form)
y = 2x + 3/7
Answer:
7y=14x+3 is your answer
What is the relation between 1 and 2?
Answer:
Supplementary and Linear Pair
Step-by-step explanation:
The angles 1 and 2 form 180 degrees. That is the definition of a Supplementary Angle and Linear Pair.
Pls help question is in the pic. Please give a right answer thx :D
Answer:
61.2
Step-by-step explanation:
34% x 79% pls help ill give brainliest
Answer:
0.2686
Step-by-step explanation:
It's basically just 34 times 79 lol
Answer:
0.2686
Step-by-step explanation:
I NEED ANSWER AND NEED TO SHOW WORK HELP!!!!
Answer:
formula to solve
Step-by-step explanation:
Regular Weekly Pay = Hourly Wage x Hours Worked
Overtime Weekly Pay = Hourly Wage x 1.5 x Overtime Hours
Overtime Hours = The amount of hours worked above-and-beyond 40
hours. If you worked 55 hours in a week, your overtime hours would
be 15.
Total Weekly Pay = Regular Weekly Pay + Overtime Weekly Pay
Total Salary = Weekly Pay x Work Weeks per Year
Example: If you earn $8.35 per hour, work 50 weeks a year, and
average 50 hours/week:
Regular Weekly Pay = 8.35 x 40 = $334
Overtime Weekly Pay = 8.35 x 1.5 x 10 = $125.25
Total Weekly Pay = $334 + $125.25 = $459.25
Total Salary = $459.25 x 50 = $22,962.50
only 1 question!
Please help I’ll mark brainliest!!!
Answer:
Wouldn’t y be 4 and x be 1?
Answer:
Y = -1X + 5
Step-by-step explanation:
I just solved it, it was a long problem, I don't wanna talk you through it. I think I'm correct.
Hope this helps! Let me know!