Answer:
4
Step-by-step explanation:
x/2 +6 = 8
subtract 6 from both sides
x/2 = 2
multiply by the reciprocal of 1/2 which is 2. That cancels out the 2 on the x side and x is equal to 4
Hope that helps
Answer:
x = 4
Step-by-step explanation:
The left side of the equation has a variable term (x/2) and a constant term (6).
The right side of the equation has a constant term (8).
This is the form you expect to see for a "two-step" linear equation. It is solved in 2 steps.
Step 1:
Subtract the left-side constant from both sides.
x/2 +6 -6 = 8 -6
x/2 = 2 . . . . . simplify
Step 2:
Multiply both sides of the equation by the reciprocal of the coefficient of x. The coefficient of x is 1/2. Its reciprocal is 2/1 = 2. When you multiply both sides by 2, you get ...
2(x/2) = 2(2)
x = 4 . . . . . . simplify
_____
Additional comment
The idea of a multiplicative inverse (reciprocal) is that a number multiplied by its reciprocal is 1.
[tex]\dfrac{2}{1}\times\dfrac{1}{2}=\dfrac{2}{2}=1[/tex]
1 is the "identity element" for multiplication. That means whatever you multiply by 1 retains its original identity. Multiplying x by 1 gives x.
When we solve an equation of this sort, we use these properties of multiplication (inverse, identity element) to "get rid of" the coefficient of x.
As always, the rules of equality say that whatever you do to one side of the equation must also be done to the other side. So, when we multiply x/2 by 2, we must also multiply the other side of the equation by 2.
__
Don't let the presentation of the x-term throw you. It can be written several ways that all mean the same thing.
(1/2)x . . . . with or without the parentheses
0.5x
x/2
Help!! NO SPAM!!!! I will mark brainliest. A phone banking password consists of 2 letters followed by 4 digits. The letters B and X are not used, and the last digit cannot be 0. How many different passwords are possible?
In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
[tex]24*24*10*10*10*9=5184000[/tex]
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the perimeter of a rectangular field is is 84m.If the width of the rectangle is 6m less than the length,then find the dimensions?please friends help!!!!!!!!
Answer:
24
**Solving Steps**
2 x (2 x X - 6) = 84
4x-12=84
84+12=96
96/4 = 24
Hope it helps.
in the diagram m∠UYF= 42 1/8
What is ∠FYT?
Step-by-step explanation:
FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).
so,
FYT = 180 - 42 1/8 = 137 7/8°
as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.
The angle measures of an isosceles triangle are shown. Find the value of w.
Answer:
w= 7
Step-by-step explanation:
8w + 9w - 1 + 62 = 180
17w + 61 = 180
17w = 119
w = 7
Find the surface area of the cuboid.
Answer:
62 cm²
Step-by-step explanation:
The surface area (SA) is the sum of the areas of the 6 faces.
The opposite faces are congruent, then
SA = area of front/ back + area of top/ bottom + area of 2 sides
= 2(5 × 3) + 2(5 × 2) + 2(3 × 2)
= 2(15) + 2(10) + 2(6)
= 30 + 20 + 12
= 62 cm²
evaluate the expression for the given value of x.
0.8x+5.4 for x= -3
Answer:
3.0
Step-by-step explanation:
0.8 times -3 = -2.4
5.4-2.4=3.0
So the answer is 3.0
A line has a slope of 0 and passes through the point (10, 2). What is its equation in slope intercept form?
Answer:
y = 10
Step-by-step explanation:
y = m x + C, where m is the slope and c is the intercept on the y axis. Plugging in the values of m and C, we get: y = 0 x + 10 = 0 + 10 = 10. Therefore, y = 10.
The equation of line that passes through the point P ( 10 , 2 ) and has a slope of 0 is y = 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the point be represented as P ( 10 , 2 )
And ,let the slope of the line be m = 0
Slope m = 0
Now , the equation of line is given by the formula y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 2 = 0 ( x - 10 )
On simplifying the equation , we get
y - 2 = 0
Adding 2 on both sides of the equation , we get
y = 2
Therefore , the value of A is y = 2
Hence , the equation of line is y = 2
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Find the complex zeros of the following polynomial function.
f(x)=
[tex] {x}^{3} - 1[/tex]
Make sure to simplify your answer Type an exact answer, using radicals and i as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.
The complex zeros of f are:
Answer:
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-1[/tex]
[tex]0=x^3-1[/tex]
[tex]0=(x^2+2x+1)(x-1)[/tex]
[tex]x-1=0[/tex]
[tex]x=1[/tex] <-- Real Solution
[tex]x^2+x+1=0[/tex]
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-2\pm\sqrt{2^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(1)(1)}}{2(1)}[/tex]
[tex]x=\frac{-1\pm\sqrt{1-4}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{-3}}{2}[/tex]
[tex]x=\frac{-1\pm\sqrt{3}i}{2}[/tex] <-- Complex Solutions
Which statement is necessarily true if is an altitude to the hypotenuse of right ?
Step-by-step explanation:
it's b
i relly don't know cause theres no image
15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.
Answer:
4.2
Step-by-step explanation:
Divya glued a ribbon around a clipboard. The clipboard is 9 inches wide and 11 inches tall. What is the length of ribbon used and the area of the clipboard?
Based on the dimensions of the clipboard, the length of the ribbon is 40 inches and the area of the clipboard is 99 inches ².
The ribbon goes around the clipboard which means that its length is the clipboard's perimeter which is calculated as:
= 2 x length + 2 x Width
= 2 x 9 + 2 x 11
= 18 + 22
= 40 inches
The area of the clipboard will be:
= Length x Width
= 9 x 11
= 99 inches ²
In conclusion, the length is 40 inches and the area is 99 inches²
Find out more about area at https://brainly.com/question/16997207.
A piece of timber is
x
cm long.
How long would 3 pieces of timber be put together in a line?
Answer:
3x cm long.
Step-by-step explanation:
If one piece is x cm
and there are 3 together, presumeabley the same length
then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.
Have a good day!
Answer:
3x cm long
Step-by-step explanation:
3 times x is 3x
Pls help me 15 points total
Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours
Step-by-step explanation:
Answer:
2 hours
Step-by-step explanation:
Let x represent the time it takes together. Per hour the Equalizer
1/3hr + 1/8hr = 1/x Multiplying each term by 24x so as all denominators = 1
8x + 3x = 24
11x = 24
x = 2.18 hrs, the time it takes them together
Can someone help me?
Answer:
d
Step-by-step explanation:
Which of the following is NOT a type of fat?
Saturated
Unsaturated
Trans-Fats
Fiber
Answer:
Fiber
Step-by-step explanation:
Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.
Answer:
fiber is not a type of fat
In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.
Answer:
61.9
Step-by-step explanation:
mark me as brainliest
Answer:
62°
Step-by-step explanation:
The law of cosines is used to find the length of side k:
k² = i² +j² -2i·j·cos(K)
k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568
k ≈ 90.6827 . . . . . . . take the square root
Then the law of sines is used to find angle J.
sin(J)/j = sin(K)/k
J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°
J ≈ 62°
question 19 of the attachment below
Answer:
The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done
Step-by-step explanation:
Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle
Area of regular hexagon ABCDEF with side [tex]x[/tex]
[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]
Area of regular hexagon FGHIJK with side [tex]px[/tex]
[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]
Area of shaded region
[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]
If y varies directly as x, find y:
{(8, -12). (20, y)}
[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]
[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]
[tex]\\ \sf\longmapsto 8y=-240[/tex]
[tex]\\ \sf\longmapsto y=-240/8[/tex]
[tex]\\ \sf\longmapsto y=-60[/tex]
Write the equation from the line whose slope and the point through which it passes are given. Express the equation in point-slope form. (8,-1) and slope m=-3
Answer:
y + 1 = 3(x - 8)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b ) = (8, - 1 ) , then
y - (- 1) = 3(x - 8) , that is
y + 1 = 3(x - 8)
Point R has coordinates of (5.-6). What the coordinates of R' after being reflected across the y-axis?
Answer:
R' (- 5, - 6 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
R (5, - 6 ) → R' (- 5, - 6 )
Answer:
-5, -6
Explanation:
5, -6 is in quadrant 4, (x, -y) so if it were to be reflected over the y- axis, it would got to quadrant 3 (-x, -y).
Hope this helped :)
if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
Help pretty please it’s 4:30 rn and I’m trying to get this done
Answer:
8b is 1.5*10^4=1.5*10000=15000
9. is 100*1.1=110meters to 100 yards
Hope This Helps!!!
Answer:
91
Step-by-step explanation:
Find the volume of the sphere.
Answer:
4.19
Step-by-step explanation:
v=4/3(pie x r^3)
v=4/3(pie x 1^3) = 4.18879
v=4.19
help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's
Answer:
45/3 = 15
They each where $15
Hope that helps
Step-by-step explanation:
Answer:
$15
Step-by-step explanation:
All you need to do is divide 45 by 3 and you get 15
Alicia is a nurse.
In 2016, she earned a monthly salary of £1750
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
WILL MARK BRAINLIEST IF
- Answer is correct
- Answer is detailed
WILL NOT MARK BRAINLIEST IF:
-Contains links
-Answer not detailed
-Answer incorrect
(P.s: must be 2 answers pls)
Thanks
Answer:
See below
Step-by-step explanation:
2% increase on 1750=
1750 * 1.02 = 1785
1785 per month gives 1785 * 12 = 21420 per year.
Divide 21420 by 48 weeks = 446.25 per week
Divide 446.25 by 45 hours = 9.92 per hour
Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,
(100%+2%) of £1750
= 1.02 × £1750
= £1785 per month
Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,
Total Earning = 12 × £1785 = £21,420
As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be
Number of hours = 45 hours × 48 weeks = 2,160 hours
Now, the earnings per hour can be written as,
Earning per hours = £21,420/2,160 hours = £9.92/ hour
Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.
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Solve please in need of help
Answer:
not clear and I don't know the answer
can someone help me figure this out
Answer:
b ≥ 8
Step-by-step explanation:
b + 4 + 2(-2b + 4) ≤ -12
b + 4 - 4b + 8 ≤ -12
-3b + 12 ≤ -12
-3b ≤ -24
b ≥ 8
Dan earns £367 over the course of a five-day week. How much is that per day?
Divide total by number of days:
367/5 = 73.40 per day
find measure of angle b
Answer:
9. b=120 8. b=43 11 b=84 12 b=23
Step-by-step explanation:
number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90