Answers
Answer:
x=1
Step-by-step
Step 1:
Simplify x/x2
Dividing exponential expressions :
1.1 x1 divided by x2 = x(1 - 2) = x(-1) = 1/x1 = 1/
Equation at the end of step 1:
2 1 1
(((—+1)-—)-1)-((2•—)-1) = 0
x x x
STEP 2:Rewriting the whole as an Equivalent Fraction:
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
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 :
2.2 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:
2 - (x) 2 - x
——— = ———
x x
Equation at the end of step 2:
2 1 (2-x)
(((—+1)-—)-1)-————— = 0
x x x
STEP 3:
Simplify 1/x
Equation at the end of step 3:
2 1 (2 - x)
(((— + 1) - —) - 1) - ——————— = 0
x x x
STEP4:
Simplify: 2/x
Equation at the end of step 4:
2 1 (2 - x)
(((— + 1) - —) - 1) - ——————— = 0
x x x
STEP 5:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
2 + x x + 2
————— = —————
x x
Equation at the end of step 5:
(x + 2) 1 (2 - x)
((——————— - —) - 1) - ——————— = 0
x x x
STEP 6:Adding fractions which have a common denominator :
Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+2) - (1) x + 1
——————————— = —————
x x
Equation at the end of step 6:
(x + 1) (2 - x)
(——————— - 1) - ——————— = 0
x x
STEP 7:
Rewriting the whole as an Equivalent Fraction :
7.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using x as the denominator :
1 1 • x
1 = — = —————
1 x
Adding fractions that have a common denominator :
7.2 Adding up the two equivalent fractions
(x+1) - (x) 1
——————————— = —
x x
Equation at the end of step 7:
1 (2 - x)
— - ——————— = 0
x x
STEP 8:
Adding fractions which have a common denominator :
8.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
1 - ((2-x)) x - 1
——————————— = —————
x x
Equation at the end of step 8:
x - 1
————— = 0
x
STEP 9:
When a fraction equals zero :
9.1 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:
x-1
——— • x = 0 • x
x
Now, on the left hand side, the x cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
x-1 = 0
.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
One solution was found :
x = 1
Related Questions
A car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Which equation represents the distance, d, that the car travels in m minutes?
A. d = 0.75 m
B. d = 1 1 3 m
C. d = 3.5 m
D. d = 2.625 m
Answers
Answer:
3.5
Step-by-step explanation:
2 5/8 mi=21/8mi 3/12min=7/2min 7/2 as a decimal is 3.5
2 tickets cost $14. How many tickets can you buy with $63?
Answers
Answer:
9
Step-by-step explanation:
2 tickets = $14
so
1 ticket = $7
$63 divided by $7 = 9
Hope this helped!
- profparis
Due to gravity, an object falls 16t squared feet in t seconds. You drop a backpack from a window that is 60 feet above the ground. Will the backpack hit the ground in 2 seconds?
Answers
Answer:
No
Step-by-step explanation:
Since gravity falls at a rate of 16 feet per second, t= number of seconds.
if t=2 seconds, you would have the equation 16*2 = fall amount
16*2 =32. Since it is less than 60 feet, the backpack won't hit the ground in 2 seconds
please answer these questions i will give points or brainliest and its urgent
Answers
Answer:
1=67
2=142
3=69
4=90
5=138
brainliest if righttt
Answers
Answer: 4 in.
Multiply 2*2 = 4
Your answer is 4 in.
Hope this helps! :)
Brainliest please.
=========================================================
In order to find the diameter, we need to multiply the radius times 2, because the radius is one half ([tex]\displaystyle\frac{1}{2} }[/tex]) of the diameter.
We are given that the radius is:-
[tex]\bigstar{2~in}[/tex]
Multiply it times 2:-
[tex]\bigstar{4~in}[/tex]
Hence, the diameter is equal to:-
[tex]\bigstar{{\boxed{\pmb{4~ inches}}[/tex]
[Enter 4]
diameter: [tex]\boxed{4}[/tex] in.
===============================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Can somebody help me with this please and thanks
Answers
Answer:
120 cubes are required.........
Answer:
120 1/3 cubes
Step-by-step explanation:
you have 5 thirds so 5 and 4 thirds so 4 and 2 wholes which is 6 thirds so you would multilpy them and the equation would be 5x4x6 and that equals 120.
what is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?
whoever answers correctly gets brainliest!
Answers
Answer:
[tex]2^9[/tex]
Step-by-step explanation:
Since there are nine 2s being multiplied by each other, we can represent this as [tex]2^9[/tex].
Answer:
2^9
Step-by-step explanation:
there are 9 2's and since it has to be in exponential form its 2^9
HELP! GIVING BRAINLIEST IF ANSWERED CORRECTLY AND FOR EACH SECTION!!!
Use the diagram below, if m∠AEC=41°, find each angle measure
Answers
Answer:
[14] 139
[15] 90
[16] 41
[17] 49
[18] 139
[19] 131
Step-by-step explanation:
[14] Since m ∠ CEB is vertical with m ∠ AED = 139
[15] Knowing that m ∠FBD = 90 degree then m ∠ CEF = 90 degree
[16] Since m ∠ DEB is vertical to m ∠ADC Thus answer = 41
Note: vertical angles are angles opposite each other where two lines cross.
[17] Since m ∠ FED = 90 degree and m ∠ DEB = 41 then 90 - 41 = 49
[18] To Find m ∠CEB we have to subtract from m ∠ DEB
180 - 41 = 139
[19] Knowing that m ∠ FED = 90 degree and m ∠DEB = 41
Then m ∠ AEF = 90 +41=131
~Lenvy~
help me with this please
Answers
Answer:
27720cm
Step-by-step explanation:
to find area, we multiply all the widths.
11×14×20×9= 27720cm
Answer:
235 square centimeters
Step-by-step explanation:
Split The Shape Into 2.
Shape 1: 11 cm by 14 cm
11 cm * 14 cm = 154 square centimeters
Shape 2: (20 - 11) cm by 9 cm
(20 - 11) cm * 9 cm = 9 cm * 9 cm = 81 square centimeters
Original Shape = Shape 1 + Shape 2
154 + 81 = 235 square centimeters
Can someone help me with this math equation? Can you explain how to work it out also?
Answers
Answer: 50
Explanation:What we know:The numerator is 6The denominator is equal to (3*5)^(-2)In fraction-style equations, the numerators are divided by denominatorsNegative exponents are equal to (base)^|power|, and then reversing the products place in the fraction
How to solve:
By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure
Process:ExponentSet up equation 6 / [3 * 5^(-2)]
Rewrite power 6 / [3 * (5 * 5)]
Simplify power 6 / [3 * (25)]
Invert power 6(25) / 3
SimplifyingSet up equation 6(25) / 3
Simplify 150 / 3
Simplify (using common denominator) 50 / 1
Rewrite in simplest form =50
Answer: 50
Find the interest on $4,000 at 3% for 4 months.
$480
$40
$400
$48
Answers
Answer:
$40
Step-by-step explanation:
everyone else on brainly agrees that $40 is the answerhave a great day :)))(BRAINLIEST TO BEST ANSWER!)
How do you write 254,456 in expanded form?
Answers
There were 500 animals at an animal shelter. On Saturday, 20 of the dogs and 15 of the cats were adopted. What percentage of the animals were adopted that day?
10%
5%
35%
7%
Answers
Answer:
7%
Step-by-step explanation:
First, let's add the 20 dogs and 15 cats together to find the total number of animals adopted
20 + 15 = 35 animals adopted
We cand do 35 ÷ 200 to find how much of a percent 35 is of 500
35 / 500 = 0.07
Multiply this number by 100 to get a percent
0.07 × 100% = 7%
7% of the animals
The way I figure this out is to see what percentage it could be in 100% then multiply that by 5.
To get 500 to 100, divide by 5. Then divide 35 by 5 to match which is 7.
35 is 7% of 500, so 7% of animals were adopted on Saturday
Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks
Answers
Answer:
This line has a slope of 0, with the equation being y = -4
Step-by-step explanation:
Slope can be found with change in y over change in x
[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]
Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.
Gabrielle and Rob earn a total of $2,560 this week. With their total earnings from the week, Gabrielle buys 2 train tickets that cost $215.80 each, and Rob buys 2 suitcases that cost $36.50 each. Which statement is true?
A) Gabrielle and Rob have $ 2,055.40 of the $2 ,560 left because 2,560 − 2( 215.80 ) − 2(36.50 ) is equal to 2,055.4.
B)Gabrielle and Rob have $2,091.90 of the $2,560 left because 2,560−2(215.80)−36.50 is equal to 2,091.9.
C)Gabrielle and Rob have $2,271.20 of the $2,560 left because 2,560−215.80−2(36.50) is equal to 2,271.2.
D)Gabrielle and Rob have $2,307.70 of the $2,560 left because 2,560−215.80−36.50 is equal to 2,307.7.
Answers
Answer:
A
Step-by-step explanation:
215.80 + 215.80 = 431.60
36.50 + 36.50 = 73
431.60 + 73 = 504.60
2560 - 504.60 = 2055.40
The correct statement is:
Gabrielle and Rob have $2,055.40 of the $2,560 left because 2,560 − 2(215.80) − 2(36.50) is equal to 2,055.4.
Option A is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Gabrielle and Rob's total earnings for the week are $2,560.
If Gabrielle buys 2 train tickets that cost $215.80 each.
She spends a total of:
\$431.60 (2 x 215.80).
If Rob buys 2 suitcases that cost $36.50 each, he spends a total of:
$73 (2 x 36.50).
To find out how much money they have left, we need to subtract the amount spent on tickets and suitcases from their total earnings:
$2,560 - $431.60 - $73
= $2,055.40
Therefore,
The correct statement is:
Gabrielle and Rob have $2,055.40 of the $2,560 left because 2,560 − 2(215.80) − 2(36.50) is equal to 2,055.4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
What is the value of x?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
Remark
These two angles are supplementary. They make up the horizontal line. Supplementary angles add to 180 degrees.
Equation
x + 134 = 180
Solution and Answer
x + 134 = 180 Subtract 134 from both sides
x + 134 - 134 = 180-134 Combine
Answer: x = 46
i need help please will give brainlist
Answers
Answer:
C is the answers for the question
Step-by-step explanation:
please mark me as brainlest
32Two functions are shown.
What is the rate of change, in simplest form, of the function that has the lesser rate of change?
Answers
Answer:
4/12
Step-by-step explanation:
rate of change formula
f(b) - f(a) / b-a
f (5)- f (1) / 12-0
5-1 / 12-0
4/12
Help please!!!!! I have a pic
Answers
Answer:
90 bro
Step-by-step explanation:
35+55= 90
90+90=180
180 = every triangle
or
180-35-55=90
good luck
17. Classify Each Angle Pair then find the value of X
Answers
Given -
If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,To find -
m∠2.Concept -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
Solution -
[tex]\rightarrow\sf{(13x+24)^{ \circ}+(5x-6)^{ \circ}=180^{ \circ}}[/tex]
[tex]\rightarrow\sf{13x+5x+24-6=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18x+18=180}[/tex]
[tex]\rightarrow\sf{18(x+1)=180}[/tex]
[tex]\rightarrow\sf{x+1=\frac{180}{18}}[/tex]
[tex]\rightarrow\sf{x+1=10}[/tex]
[tex]\rightarrow\sf{x=10-1}[/tex]
[tex]\rightarrow\boxed{\bf{x=9}}[/tex]
m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the shortest possible third side?
Answers
Answer:
6
Step-by-step explanation:
Using the Triangle Inequality Theorem, we can derive the range in which the third side, x. If you are having trouble with the theorem, it is that the sum of any two sides must be larger than the other side.
4 + 9 > x => x < 13
x + 4 > 9 => x > 5
x + 9 > 4 => x > -5
Combining all three equations gives us 5 < x < 13
Since the number is a whole number, the smallest whole number that satisfies the range is 6. The answer is 6.
Hope I helped!
Which statement is true about the graphs shown?
Answers
What is the volume of this figure?
Enter your answer in the box.
__ft3
(I already know the answer is 3300)
Answers
Answer:
[tex]3300ft^{3}[/tex]
Step-by-step explanation:
For this problem it is easier to split it up into two shapes. One being the big box(1) on top and the other being the small box(2) below it.
Volume of box 1:
[tex]Volume = length*width*height[/tex]
[tex]Volume of Box 1 = 25ft*(20+4)ft*5ft = 3000ft^{3}[/tex]
Volume of box 2:
[tex]Volume = length*width*height[/tex]
[tex]Volume of Box 2 = 25ft*4ft*(8-5)ft=300ft^{3}[/tex]
Total volume:
[tex]Total Volume = Volume of Box 1 + Volume of Box 2 = 3000ft^{3}+300ft^{3} = 3300ft^{3}[/tex]
The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.
Let us split the given figure into two cuboids
The dimensions of one cuboid = 20 ft*25 ft *5ft
The dimension of the other cuboid = 4 ft*25ft * 8ft
So, the volume of the figure will be the sum of the volume of both the cuboids.
What is the volume of a cuboid?The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.
So, the volume of the cuboid with dimensions 20 ft*25 ft *5ft
= 20*25*5
=2500 ft³.
The volume of the cuboid with dimensions 4 ft*25ft * 8ft
=4*25*8
=800 ft³.
So, the volume of the figure = 2500 + 800 =3300 ft³.
Therefore, the volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.
To get more about cuboids visit:
https://brainly.com/question/22694657
Please Help I'll give brainiest!! (answer quick please!!!!)
1) Which statement is correct for the graph of the specified function?
A) The minimum value of the quadratic function occurs at x = 0.
B) The maximum value of the quadratic function occurs at y = 0.
C) The x-values of the linear function increase as the y-values decrease.
D) The x-values of the linear function decrease as the y-values increase.
------
2) Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
Answers
i know you need help urgen for this but this is just for a challenge i have to answer 5 questions by the end of today! im sorry if i got your hopes down on getting and answer but good luck!
The mean of a set of data is 45 years. Find the missing numbers in the data set {40,45,48,?,54,?,45}. Explain the method or strategy you used.
please help me!!!
Answers
Answer:
42 and 41
Step-by-step explanation:
So how I did it tbh I went everywere with this but I went backwards because the how you find the mean of something is adding all the values and then dividing them by the number of values(40+41+42+45+45+48+54=315, 315divided by 7=45) but anyway 45x7(because multiplication is the opposite of division)that equals 315-232 which is the answer to 40+45+48+54+45 which were the numbers that were given
Which statements describe the cell membrane? Check all that apply.
In physics, we can find the amount of force needed to push or pull an object by multiplying the object’s mass by the object’s acceleration. The units of force are called Newtons.
force = mass × acceleration
F = ma
Find the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 StartFraction m Over s squared EndFraction
The amount of force needed to push Jeff’s race car is
Newtons.
Answers
Answer:
you can use the website called "Force Calculator" it will give you the answer, just enter the mass and the acceleration <3 :) good luck
Step-by-step explanation:
BRAINLIEST, JUST SAY THE ANSWER
Each fraction has many equivalent fractions. Type an equivalent fraction for the fraction below using 4 as a multiplier.
1/4
Answers
Answer:
4/16
Step-by-step explanation:
pls give me brainliest
ahh help im confuse pls answer
Answers
Answer:
I think that the answer is 1/6
The equation x^2 = d has how many real solutions when d > 0?
Answers
Answer:
2 real solutions
Step-by-step explanation:
d>0: two real solutions
D=0 one real solution
D<0: two complex (imaginary) solutions
Answer:
Step-by-step explanation:
This is a quadratic equation. All quadratic equations have two solutions. In this case, with d > 0, the two solutions / roots are real, one positive and one negative. To see this, take the square root of both sides of x² = d.
help pls :( i will help you
Answers
Answer:
7 in thick
Step-by-step explanation:
There are two of the 2 1/4 books; and one of the 2 1/2 in. thick book.
2 1/4 + 2 1 /4 = 4 1/2 + 2 1 /2 = 7 in. thick