Answer:
5x^(5/6)
Step-by-step explanation:
we will use properties of exponents
x^a/x^b = x^(a-b)
and
x^a * x^b = x^(a+b)
___________________________________
(125x^4y3/2)1/3÷(xy)1/2\\
expanding each term by taking power for each component of expression
=>125^(1/3) x^(4/3) y(3/2*1/3) ÷ x(1/2)y(1/2)
=>5*x^(4/3) y(1/2) ÷ x(1/2)y(1/2)
using property = x^a/x^b = x^(a-b)
=>5x^(4/3 - 1/2) y^(1/2 -1/2)
y^(0) = 1
=> 5x^((4*2-3)/3*2) *1
=> 5x^(5/6)
Thus, value of expression is 5x^(5/6)
What is the length of LM? (Question and answer choices provided in picture.)
Answer:
24√3
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
Step 1: Use cos∅
cos30° = LM/48
Step 2: Multiply both sides by 48
48cos30° = LM
Step 3: Evaluate
LM = 24√3
Answer:
[tex]\large \boxed{24 \sqrt{3} }[/tex]
Step-by-step explanation:
The triangles are right triangles. We can use trig functions to solve.
cos θ = adj/hyp
Take the triangle KLM.
cos 30 = LM/KL
cos 30 = LM/48
Multipy both sides by 48
(48) cos 30 = LM/48 (48)
Simplify.
48 cos30 = LM
24√3 = LM
COMPUTE
3 ( 2 1/2 - 1 ) + 3/10
Answer:
[tex] \boxed{ \frac{24}{5} }[/tex]Step-by-step explanation:
[tex] \mathsf{3(2 \frac{1}{2} - 1) + \frac{3}{10} }[/tex]
Convert mixed number to improper fraction
[tex] \mathrm{3( \frac{5}{2} - 1) + \frac{3}{10} }[/tex]
Calculate the difference
⇒[tex] \mathrm{3( \frac{5 \times 1}{2 \times 1} - \frac{1 \times 2}{1 \times 2} }) + \frac{3}{10} [/tex]
⇒[tex] \mathrm{ 3 \times( \frac{5}{2} - \frac{2}{2}) } + \frac{3}{10} [/tex]
⇒[tex] \mathrm{3 \times ( \frac{5 - 2}{2} ) + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{3 \times \frac{3}{2} + \frac{3}{10} }[/tex]
Calculate the product
⇒[tex] \mathrm{ \frac{3 \times 3}{1 \times 2} + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{ \frac{9}{2} + \frac{3}{10}} [/tex]
Add the fractions
⇒[tex] \mathsf{ \frac{9 \times 5}{2 \times 5} + \frac{3 \times 1}{10 \times 1} }[/tex]
⇒[tex] \mathrm{ \frac{45}{10} + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{ \frac{45 + 3}{10 } }[/tex]
⇒[tex] \mathrm{ \frac{48}{10} }[/tex]
Reduce the numerator and denominator by 2
⇒[tex] \mathrm{ \frac{24}{5} }[/tex]
Further more explanation:
Addition and Subtraction of like fractions
While performing the addition and subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.
For example :
Add : [tex] \mathsf{ \frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} } = \frac{4}{5} [/tex]
Subtract : [tex] \mathsf{ \frac{5}{7} - \frac{4}{7} = \frac{5 - 4}{7} = \frac{3}{7} }[/tex]
So, sum of like fractions : [tex] \mathsf{ = \frac{sum \: of \: their \: number}{common \: denominator} }[/tex]
Difference of like fractions : [tex] \mathsf{ \frac{difference \: of \: their \: numerator}{common \: denominator} }[/tex]
Addition and subtraction of unlike fractions
While performing the addition and subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator.
For example:
[tex] \mathsf{add \: \frac{1}{2} \: and \: \frac{1}{3} }[/tex]
L.C.M of 2 and 3 = 6
So, ⇒[tex] \mathsf{ \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} }[/tex]
⇒[tex] \mathsf{ \frac{3}{6} + \frac{2}{6} }[/tex]
⇒[tex] \frac{5}{6} [/tex]
Multiplication of fractions
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
When any number or fraction is divided by a fraction, we multiply the dividend by reciprocal of the divisor. Let's consider a multiplication of a whole number by a fraction:
[tex] \mathsf{4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2} = 6}[/tex]
Multiplication for [tex] \mathsf{ \frac{6}{5} \: and \: \frac{25}{3} }[/tex] is done by the similar process
[tex] \mathsf{ = \frac{6}{5} \times \frac{25}{3} = 2 \times 5 \times 10}[/tex]
Hope I helped!
Best regards!
1. Which expression is equivalent to (-2)(a + 6)?
Answer:
please mark my answer brainliest
Step-by-step explanation:
- 2a -12
PLEASE HELP URGENT AND EXPLAIN FOR 25 POINTS MUST BE CORRECT Brielle bought an apartment building for $202,444. The value of the real estate appreciated at a constant rate per year. The table shows the value of the apartment building after the first and second years: Year 1 2 Value (in dollars) $212,566.20 $223,194.51 Which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t
Answer:
f(t) = 202,444(1.05)^t
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)^t
A = final amount
P = principle amount
r = interest rate
t = time
Step 1: Find rate r
212,566.20 = 202,444(1 + r)¹
1.05 = (1 + r)¹
1.05 = 1 + r
r = 0.05
Step 2: Define variables
P = 202,444
r = 0.05
Step 3: Plug in variables into formula
A = 202,444(1 + 0.05)^t
A = 202,444(1.05)^t
There are a total of two hundred students and chaperones going on a
field trip. Each bus can hold 60 passengers. How many buses will be
used for the field trip? Explain why your answer is reasonable.
Answer:
4 bus is required for field trip to carry 200 passengers.
Step-by-step explanation:
Total no . of passengers = 200
let the be x bus required to carry 200 passengers
capacity of 1 bus = 60 passengers
capacity of x bus = 60*x passengers = 60x passengers
Thus,
60x = 200
x = 200/60 = 3 2/3
thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4
Thus, 4 bus is required for field trip to carry 200 passenger.
For the function F(x)= 1/x-2 whose graph is shown below, what is the relative value of F(x) when the value of x is close to 2?
Answer:
10,000
Step-by-step explanation:
A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?
Answer:
1/2 a minute (30 seconds)
Step-by-step explanation:
475/50=9.5
450/50=9
9-9.5=.5
PLEASE HELPP on THIS PICTURE FOR ONE OF MY QUESTIONS
Answer:
Linear pair postulate
Step-by-step explanation:
The Linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary; that is, the sum of their measures is 180 degrees
A linear pair of angles is such that the sum of angles is 180 degrees.
3x + 5y = 8
-9x - 15y = - 24
ayudeneme con esta ecuacion de igualacion
Answer:
así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice
Step-by-step explanation:
de nada!!!
Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)
[tex](3x^2 - 4x + 1) + (-x^2 + x - 9)=\\3x^2-4x+1-x^2+x-9=\\2x^2-3x-8[/tex]
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
A bag contains white,blue and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bag.Find the new ratio of the balls.
Answer:
New ratio ( white,blue and red) = 6:1:2
Step-by-step explanation:
Given:
Old ratio ( white,blue and red) = 8:3:2
Number of red balls = 10
Removed balls = 10 white , 10 blue
Find:
New ratio ( white,blue and red)
Computation:
Assume total number of balls = x
So,
Number of total balls = 2x / 13 = 10
Number of total balls = 65
Number of white balls = 40
Number of blue balls = 15
So,
Number of new white balls = 40 - 10 = 30
Number of new blue balls = 15 - 10 = 5
New ratio ( white,blue and red) = 30 : 5 : 10
New ratio ( white,blue and red) = 6:1:2
The new ratio of the white, blue, and red balls is 6:1:2.
Given to usA bag contains white,blue, and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bagPart 1The balls in the bag are in the ratio 8:3:2, therefore, the balls in the bags are,
white balls = 8x
blue balls = 3x
red balls = 2x =10,
Solving for red balls,
[tex]2x = 10\\x =\dfrac{10}{2}\\x = 5[/tex]
Now, substituting the value of x to know the numbers of balls are,
white balls = 8x
[tex]= 8 \times 5\\=40[/tex]
blue balls = 3x
[tex]= 3\times 5\\=15[/tex]
Part 2After removing, 10 white balls and 10 blue balls from the bag,
red balls = 10 balls
white balls = 40 balls - 10 balls = 30 balls
blue balls = 15 balls - 10 balls = 5 balls
Dividing all the number of balls by 5,
red balls = 10 balls
[tex]\dfrac{10\ balls}{5} = 2[/tex]
white balls = 30 balls
[tex]\dfrac{30\ balls}{5} = 6[/tex]
blue balls = 5 balls
[tex]\dfrac{5\ balls}{5} = 1[/tex]
Hence, the new ratio of the white, blue, and red balls is 6:1:2.
Learn more about Ratio:
https://brainly.com/question/1504221
Hassan built a fence around a square yard. It took 48\text{ m}^248 m 2 48, start text, space, m, end text, squared of lumber to build the fence. The fence is 1.51.51, point, 5 meters tall. What is the area of the yard inside the fence? \text{m}^2m 2
Answer:
64
Step-by-step explanation:
khan acadamy
Answer:
64
Step-by-step explanation:
Marta esta poniendo sus libros en una estantería. Le faltan 7 libros para poder poner 12 en cada estante; sin embargo, si pone 10 libros en cada estante, se quedan 5 libros sin poner. ¿Cuantos es antes tiene la estantería?
Answer:
x = 6 la cantidad de estantes
y = 65 cantidad de libros
Step-by-step explanation:
LLamemos "x" la cantidad de estantes que tiene Marta, y llamaremos "y" la cantidad de libros.
La primera condición que se debe cumplir es que cuando Marta coloca 12 libros en cada estante entonces le faltan 7, esto lo expresamos así:
y + 7 = 12*x (1)
La segunda condición establece que si Marta coloca los libros en número de 10 por estante le quedan 5 sin colocar, luego esto en lenguaje matemático se expresa así:
y - 5 = 10*x (2)
Ahora hemos obtenido un sistema de dos ecuaciones con dos incógnitas que se resuelve por cualquiera de los métodos conocidos, usaremos el método de sustitución.
Despejamos y en la primera ecuación y lo sustituimos en la segunda, de esa forma obtendremos el valor de x
y = 12*x - 7
(12*x - 7 ) - 5 = 10*x
2*x -12 = 0
2*x = 12
x = 6 la cantidad de estantes, y
y = 12*x -7
y = 72 - 7
y = 65 cantidad de libros
Msr walkers class set up an online fund with a goal to raise 1280
Answer: is brainly broken for u too??
Step-by-step explanation:
Evaluate -3.28 - (-4.4) + (-p) where p = 9.7
Answer:
-8.58
Step-by-step explanation:
p = 9.7
=> -3.28 - (-4.4) + (-p)
=> -3.28 - (-4.4) + (- (9.7))
=> -3.28 - (-4.4) + (-9.7)
=> -3.28 - (-4.4) -9.7
=> -3.28 +4.4 -9.7
=> -12.98 +4.4
=> -8.58
Answer:
The evaluated answer for this equation is -8.58
Step-by-step explanation:
We are given a value of p so we will use this value for the equation.
-3.28 - (-4.4) + (-p)
Replace p with 9.7
-3.28 - (-4.4) + (-9.7)
Since there is a double negative in front of 4.4, then that means that we are going to be adding -3.28 to 4.4
1.12 + (-9.7)
Subtract 1.42 from 9.7 because there is negative sign in front of 9.7
-8.58
w = zh - 6zk². Solve for z
(preferred with steps)
Answer:
w
z = ------------
h - 6k²
Step-by-step explanation:
w = zh - 6zk²
zh - 6zk² = w
w
z = ------------
h - 6k²
Find the values of a and b so that the following
system of linear equations have infinitely solutions:
(1) (2a - 15x + 3y - 5 = 0, 3x + (6 - 1)y - 2 = 0
plz answer step by step
Answer:
a = 15/2, b = 2/5
Step-by-step explanation:
For a system of two linear equations to have infinitely many solutions, the equations must be equivalent to one another.
Assuming a and b to be constants, and since b is absent from equations, there must be a typo where b was mistaken for a 6.
Modified equations:
2a - 15x + 3y - 5 = 0 ...................(1)
3x + (b - 1)y - 2 = 0 .....................(2)
rearrange equations to standard form:
-15x + 3y + 2a-5 = 0 .................(1a)
3x + (b-1)y -2 = 0 ........................(2)
To equalize the coefficient of x, multiply (2) by -5
-15x - 5(b-1) y +10 = 0 ................(2a)
Subtract (2a) from (1a)
3y + 5(b-1)y + 2a-5 -10 = 0 ..............(3)
For the two equations (1a) and (2a) to be identical, coeffients of y and constant term of (3) must equal zero.
3+5(b-1) = 0 .................(4)
3+5b-5 = 0
5b = 2
b = 2/5
2a-5-10 = 0 .....................(5)
a = 15/2
1. What is the solution to 6m – 10 = 22 – 2m ?
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
What is the value of x
Answer:4,24
Step-by-step explanation:
2(4x+x)=60
10x=60
x=6
4*6=24
Answer:
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b ) = 60
here,
l = 4x
b = x
so,
2 ( l + b ) = 60
2 ( 4x + x ) = 60
2 ( 5x ) = 60
5x = 60 / 2
5x = 30
x = 30 / 5
x = 6
so l = 4x = 4 × 6 = 24
b = x = 6
you can also recheck it by
2 ( l + b )
2 ( 24 + 6 )
= 2 × 30
= 60
Which is equal to the perimeter.
Hope this helps
plz mark as brainliest!!!!!
please help me on this!! i’ll mark u the brainliest
What is the image of (-5, -1) after a reflection over the x-axis?
Answer:
( -5, 1)
Step-by-step explanation:
When we reflect over the x axis
(x,y)→(x,−y)
( -5, -1) becomes ( -5, - -1) which is ( -5, 1)
Need help pls will give you a good rating.
Answer:
x^ ( 6/35)
Step-by-step explanation:
x ^ 2/5 ^ 3/7
We know that a^ b^ c = a^ ( b*c)
x ^ ( 2/5 * 3/7)
x^ ( 6/35)
If 24, x, and 6 form the first three terms of an arithmetic sequence
then which of the following is the value of x?
(1) 12
(3) 20
(2) 15
(4) 42
===============================================
Work Shown:
d = common difference
p = first term = 24
q = second term = a+d = 24+d
r = third term = q+d = 24+d+d = 24+2d = 6
------------
Solve for d
24+2d = 6
2d = 6-24
2d = -18
d = -18/2
d = -9
We add -9 to each term to get the next term. This is the same as subtracting 9 from each term to get the next term.
------------
First term = 24
Second term = 24-9 = 15
Third term = 15-9 = 6
We get the sequence 24, 15, 6
help..? why are there so many parentheses..?can you plz give a step by step on how to slove the equation?
Answer:
= -11
Step-by-step explanation:
-(-(11-22))
= -(-11+22)
= 11 - 22
= -11
area of a parrollelogram with a base length of 2.9ft and a height of 5.5ft
Answer:
[tex] \boxed{15.95 \: {ft}^{2} }[/tex]Step-by-step explanation:
base length ( b ) = 2.9 ft
Height ( h ) = 5.5 ft
Let's find the area of parallelogram:
Area of parallelogram : [tex] \mathsf{ = b \times h}[/tex]
plug the values
⇒[tex] \mathsf{2.9 \times 5.5}[/tex]
Multiply
⇒[tex] \mathsf{15.95}[/tex] ft²
--------------------------------------------------------------------
Extra information:
Parallelogram
The quadrilateral in which opposites sides are parallel is called a parallelogram.
The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are equal.The diagonals of a parallelogram bisect each other.The area of a parallelogram = base × heightHope I helped!
Best regards!
What is negative 14 minus 5
Answer:
-19
Step-by-step explanation:
(-14)
-5
-------
14+5=19
add the negative
-19
1A-MATH
Diviwuetalls
2 Exercise 7:
Your ansv
Type you
The three angles in a triangle are labeled A, B and C.
A = 2x
B= 3x
C=4x
Private coi
1) calculate X
2) find the actual angle of B
3) find the exterior angle to B
Answer:
Value of x = 20°
Angle B = 60°
Exterior angle to B = 300°
Step-by-step explanation:
Given:
Angles of triangle.
A = 2x
B = 3x
C = 4x
We know that,
A + B + C = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 20°
Value of x = 20°
Angle B = 3x
Angle B = 3(20°)
Angle B = 60°
Exterior angle to B = 360° - 60°
Exterior angle to B = 300°
Nazri put some nails into a box and the total mass was 4 kg. Hari put some
screws into a similar box and the total mass was 10 kg. The screws were 3 times
as heavy as the nails.
(a) What was the mass of the nails?
(b) What was the mass of the box?
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
The answer is option c.
