Answer:
-x - 2530
Step-by-step explanation:
5x - 2530 - 6x
5x - 6x = -x
-x - 2530
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5/x-(25/30)=0
Step by step solution :
STEP
1
:
5
Simplify —
6
Equation at the end of step
1
:
5 5
— - — = 0
x 6
STEP
2
:
5
Simplify —
x
Equation at the end of step
2
:
5 5
— - — = 0
x 6
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : x
The right denominator is : 6
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 0 1 1
3 0 1 1
Product of all
Prime Factors 1 6 6
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
x 1 0 1
Least Common Multiple: 6x
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 6
Right_M = L.C.M / R_Deno = x
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 5 • 6
—————————————————— = —————
L.C.M 6x
R. Mult. • R. Num. 5 • x
—————————————————— = —————
L.C.M 6x
Adding fractions that have a common denominator :
3.4 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:
5 • 6 - (5 • x) 30 - 5x
——————————————— = ———————
6x 6x
STEP
4
:
Pulling out like terms :
4.1 Pull out like factors :
30 - 5x = -5 • (x - 6)
Equation at the end of step
4
:
-5 • (x - 6)
———————————— = 0
6x
STEP
5
:
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-5•(x-6)
———————— • 6x = 0 • 6x
6x
Now, on the left hand side, the 6x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-5 • (x-6) = 0
Equations which are never true:
5.2 Solve : -5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.3 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
One solution was found :
x = 6
this should make it ez for you now
(6x^2−5x)−(4x^2−3x+4)
Answer:
2 • (x + 1) • (x - 2)
Step-by-step explanation:
2 times (x + 1) times (x - 2)
Help me with this ASAP
Answer:
The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)Step-by-step explanation:
To find the slope you need to follow the formula shown below.
Slope (m) = ΔY/ΔX
Now solve
ΔY = 6 – 0 = 6
ΔX = 2 – 0 = 2
Write as a fraction
6/2
Convert to a number
6/2 = 3
And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from 500g of chlorine? ( atomic masses : Na = 23 , Cl = 35.5 g/mol) *
1 point
112 g
319 g
409 g
825 g
Answer:
825 g
Step-by-step explanation:
Here's my work:
500g Cl2 l 1mol Cl2 l 2 mol NaCl l 58.5 g NaCl
l 71 g Cl2 l 1 mol Cl2 l 1 mol NaCl
= 823.94 - the rounding can be a little off
The first thing you have to do is convert the 500 g of Cl2 into moles. So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71. now on the third column you are comparing the mol ratios of the equation. The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a coefficient of 2 in front of NaCl so that means there is 2 moles. Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl . You multiply across the top and then divide that number by the bottom row.
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%
Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.
Answer:
7+18=25 that's the answer
Help!!! I give CROWN T-T
Answer:
120, remember the angles have to add up to 180
Step-by-step explanation:
Answer:
60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk
Help me I give crown :--(((
Answer:
The answer is 170 meters
Step-by-step explanation:
hope it helps :)
aidez moi en math je donne le maximum des points!
Step-by-step explanation:
[tex]\large \mathcal{Answer}[/tex]
Answer:
Ils sont amicaux, regardez sur le site nosdevoirs
Step-by-step explanation:
$862.00, 43% off
new price is $
Answer:
491.34
Step-by-step explanation: (862 x 43)/100 = $370.66 then you 862 - 370.66 = $491.34 i hope this helps
Answer:
$491.34
Step-by-step explanation:
Take $862 x .43 = 370.66
then you take 862.00 and subtact it by 370.66
then you get $491.34
What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
.........................................................
16. Find the angle complementary to the angle 80°.
O A. 99°
O B. 180°
O C. 90°
O D. 10°
Answer:
Its 10!
Step-by-step explanation:
Complementary mean 90°!
80+10=90
Hope this helps, and don't forget to follow!
-g + 2(3+g) = -4(g+1)
Answer:
g= -2
Step-by-step explanation:
Answer:
g=−2
Step-by-step explanation:
regroup: 2(3+g)−g=−4(g+1)
expand: 6+2g−g=−4g−4
simplify: 6+g=−4g−4
add 4 to both sides: 6+g+4g=−4
simplify again: 6+5g=−4
5g=−10
divide 5
g=-2
Find the volume of each figure below. Round to the nearest 10th, if necessary
Answer:
1692.5 ft³
Step-by-step explanation:
Thank you for giving the equation which would help me in solving. We know that our h which is the height is 11 ft. We have to find what the radius. Radius is the have of the diameter. In the figure, the 14 ft is the diameter. So in order to find the radius, we would divide it by 2.
14 ft ÷ 2 = 7 ft
h = 11 ft
r = 7 ft
Now plug it in the equation.
[tex]\pi[/tex]
In the equation you have this sign above. Remember this is the pi sign which is 3.14.
V = 3.14r²h
V = 3.14(7)² × 11
V = 3.14(49) × 11
V = 153.86 × 11
V = 1692.5 ft³
Hope this helps, thank you :) !!
Find the slope and the y-intercept of the line.
y=5x-6
slope:
y-intercept: :
Answer:
slope is 5 y intercept is -6
Step-by-step explanation:
Which equation could be solved using this application of the quadratic formula?
-2 + 22 – 4(1)(-4)
2(1)
I
Answer:
C. x^2 + 2x - 1 = 3
Step-by-step explanation:
The standard form of a quadratic equation is
ax^2 + bx + c = 0
We need to use the quadratic formula and the given expression to find the values of a, b, and c.
The quadratic formula is
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
Where the formula has -b, the problem has -2, so b = 2.
Now we have
ax^2 + 2x + c = 0
In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.
Now we have
x^2 + 2x + c = 0
Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.
Now we have
x^2 + 2x - 4 = 0
Let's look at choice A.
x^2 + 1 = 2x - 3
Subtract 2x from both sides. Add 3 to both sides.
x^2 - 2x + 4 = 0 This is not it!
Let's look at choice B.
x^2 - 2x - 1 = 3
Subtract 3 from both sides.
x^2 - 2x - 4 = 0 This is not it!
Let's look at choice C.
x^2 + 2x - 1 = 3
Subtract 3 from both sides.
x^2 + 2x - 4 = 0 This is it!
Answer: C. x^2 + 2x - 1 = 3
[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.
Option D is correct.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx +c =0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Quadratic formulaThe quadratic formula is used to find the roots of a quadratic equation.
[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]
According to the question
[tex]x=\frac{-2 \pm \sqrt{2^{2} -4(1)(-4)} }{2.1}[/tex]
We all know the quadratic formula for finding the factors of a quadratic equation
[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]
By comparing two formulas we get a = 1, b = 2, c = -4
Standard form of quadratic equation is [tex]ax^{2} +bx +c =0[/tex]
Substitute a = 1, b = 2, c = -4 in the standard form of quadratic equation
⇒ [tex]x^{2} +2x-4=0[/tex]
We can write it as
⇒ [tex]x^{2} +2x -1=3[/tex]
[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.
Option D is correct.
Find out more information about quadratic formula here
https://brainly.com/question/2236478
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The ratio of yellow sweets to purple sweets is 5:4.
Alice eats 3 purple sweets and the ratio is now 5:3.
Work out how many sweets there were at the beginning.
Answer:
27
Step-by-step explanation:
The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )
After Alice eats 3 purple sweets, then ratio is
5 : 3 = 5x : 4x - 3
Express the ratio in fractional form, that is
[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )
5(4x - 3) = 15x
20x - 15 = 15x ( subtract 15x from both sides )
5x - 15 = 0 ( add 15 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Then
number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27
Which graph best represente y 6x13
Answer:
B
Step-by-step explanation:
A science fair has 180 entries. There
are 72 entries from sixth grade
students.
Answer:
40%
Step-by-step explanation:
Total entries= 180
Entries from 6th grade= 72
Percentage = 72/ 180 x 100= 40%
Hope its right!!!
Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?
Mary can fill 4 bottles of water.
Mary can fill 14 bottles of water.
none of these
Mary can fill 6 bottles of water.
Answer:
she can fill 6 if them
Step-by-step explanation:
2/3 ÷ 4 = 1/6
Can some one help me with number 1
Answer:
The graph going down answers are 3,-1, -5, and then -9
Step-by-step explanation:
Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm
The area of the triangle ABC is 34.2 square centimeters
How to determine the triangle area?The complete question is in the image
Start by calculating the semi-perimeter using:
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (9 + 10 + 8)
Evaluate
s = 13.5
The area is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]
Evaluate
A = 34.2
Hence, the area of the triangle ABC is 34.2 square centimeters
Read more about areas at:
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Given that for all values of
6) = 4x+p
x) = x + 1
and f = 12x + 4
where p and are constants
Work out the values of panda
Answer:
f=−px+8x−2/x
Step-by-step explanation:
its a fraction
Jayden is buying an Ipod that has a price tag of $85. At the register, the cashier applies a 20% discount to the $85 price. How much will Jayden pay for the Ipod after the 20% discount?
James uses 5 1/2 bags of soil to fill 1/4 of his garden. How many bags will James use to fill his entire garden?
Answer:
22 bags
Step-by-step explanation:
Multiply 5 1/2 by 4 and you'll get 22
Answer:
22 bags
Step-by-step explanation:
5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4
given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62
Answer:
AB = 8
AD = 10
m∠A = 28°
m∠D = 62°
Step-by-step explanation:
A few facts to remember about a parallelogram.
1. Opposites sides are congruent
2. Opposites angles are congruent
3. Consecutive angles are complementary
So, AB = 8, AD = 10, m∠A = 90 - 62 = 28°, m∠D = 62°
Find the length of AB.
140°/6 in
19%
AB = [ ? ]in
B
Round your answer to the nearest hundredth.
Answer: 14.66 in
Step-by-step explanation:
Sarah has four friends. Lauren is 1.54m tall, Sophie is 1.50m tall, Kristy is 1.52m tall and Natalie is 1.49m tall. If they all stood on top of eachother how high would theybe?
Answer:
It would be 6.05m tall.
Which property is used to write the equivalent expressions below? (2x7) x3=2x (7x3)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.
Answer:
9
Step-by-step explanation:9x5
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation: