Answer:
The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is [tex]\frac{1}{9}[/tex]
Step-by-step explanation:
In the complex fractions [tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c
To simplify it change ÷ to × and reciprocal c
[tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c = [tex]\frac{a}{b}[/tex] × [tex]\frac{1}{c}[/tex] = [tex]\frac{a}{bc}[/tex]In the complex fractions [tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex]
To simplify it change ÷ to × and reciprocal [tex]\frac{b}{c}[/tex]
[tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex] = a × [tex]\frac{c}{b}[/tex] = [tex]\frac{ac}{b}[/tex]Let us solve the question
∵ The complex fraction is [tex]\frac{\frac{8}{9}}{8}[/tex]
∵ [tex]\frac{\frac{8}{9}}{8}[/tex] = [tex]\frac{8}{9}[/tex] ÷ 8
→ Change ÷ to × and reciprocal 8
∴ [tex]\frac{8}{9}[/tex] ÷ 8 = [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex]
→ Cancel 8 up with 8 down
∴ [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{9}[/tex]
∴ The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is [tex]\frac{1}{9}[/tex]
Answer:
1
Step-by-step explanation:
In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.
Please help me really need help please please will mark brainiest it’s due today at 3:30pm please help me please
Answer:
8 Hours.
Step-by-step explanation:
The graph of a proportional relationship will always be a straight line that passes through the origin. Why?
Answer:
Being proportional between two entities, refers to the 'Constant of Proportionality' that would be fixed between them which establishes a relationship between them when multiplied or divided.
If we considered it on a graph, the 'Constant Of Proportionality' may take any real values between the coordinate pairs x and y [x,y]. As even 0 is a real number, it will surely be a constant of proportionality when multiplied since its product would result in itself (0). Hence, both x and y turns 0.
As the coordinates of the origin are always (0,0), the graph (Or the slope) would surely pass through the origin.
Example :
If we consider a graph such that x=y.
And if we multiply or divide any real number (a) between them.
ax=ay
As a is a variable, and can take the value of 0, the graph can pass through the origin as x and y nullify becoming the coordinates of the origin.
Convert 0.49494949 into a fraction. Show all work.
Answer:
0.49 49
=
49 this is a fraction
99
Step-by-step explanation:
Let
XXX
x
=
0.49
¯¯¯¯
49
then
XXX
100
x
=
49.49
¯¯¯¯
49
and
XXX
99
x
=
100
x
−
x
=
49
XXX
x
=
49
99
Find the value of x.
930
45°
X=
help please
Answer:
45 Degrees
Step-by-step explanation:
Compare to its other side
help me with this question if you don’t mind❗️
Answer:
12m by 3m
Step-by-step explanation:
lol please mark brainliest
What is the slope of the line whose equation is y-6=2(x+3)?
Answer:
2
Step-by-step explanation:
y=mx+n m is slope
y-6=2(x+3) so y=2x+12 m=2 is slope.
One number is 4 more than 3 times another. Their sum is 16. Find the two numbers.
The original price of a bottle
of dish soap is $2. How much
will Sasha PAY if she buys it
during the sale when it is 50%
off?
Answer:
$1
Step-by-step explanation:
i hope i read it right
Answer:
1
Step-by-step explanation:
cuz half of 2 is 1
! Find the slope using the formula.
(9,-5) and (-2,9)
Answer:
[tex]m=\frac{-14}{11}[/tex]
General Formula and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, -5)
Point (-2, 9)
Step 2: Find slope m
Substitute: [tex]m=\frac{9+5}{-2-9}[/tex]Add/Subtract: [tex]m=\frac{14}{-11}[/tex]Rewrite: [tex]m=\frac{-14}{11}[/tex]19. Theodore purchased a vintage painting from an art dealer worth $480. The dealer noted that the value of the painting will increase by 12 percent per year. What is the growth factor of the
painting?
All changes
12
480
0.12
1.12
The growth factor of the painting is 0.12
What is percent?"It is a ratio that can be expressed as a fraction of 100."
For given question,
The value of the painting will increase by 12 percent per year.
The 12% in decimal form,
[tex]=12\times \frac{1}{100}\\\\ =0.12[/tex]
So the growth factor of the painting is 0.12
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please help me solve this
Answer:
A) 7 and 8
Step-by-step explanation:
root of 7 is 2.64575..... then when u multiply by 3
3*2.64575=7.93725
Help please!! Inverse of Matrix problem!!
Number 8 please!!
Step-by-step explanation:
Inverse of p matrix is in picture
i wish it will make u easy to do♥️✌️
a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet
Answer:
1,232 ft/min (feet per minute)
Step-by-step explanation:
14 miles = 73,920 feet
1 hour = 60 minutes
73, 920 / 60 = 1,232 feet/minute
Allison traveled a distance of 130 miles in 2
1
hours. What was Allison's average driving
speed, in miles per hour?
Allison's average driving speed in miles per hour is 65.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
130 miles = 2 hours
Divide 2 on both sides.
130/2 miles = 1 hour
65 miles = 1 hour
Thus,
The average speed is 65 miles per hour.
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7. Find the value of x and y:
x=
y=
(10x - 61)
(18y + 5)º
(x + 10)
Answer:
y = 8º
y = 8º
Step-by-step explanation:
Given:
(10x - 61)º
(18y + 5)º
(x + 10)º
Find:
x and y
Computation:
(10x - 61) + (x + 10) = 180
11x - 51 = 180
11x = 231
x = 21º
(10x - 61)º = (18y + 5)º [Vertical opposite angle]
10x - 61 = 18y + 5
10x - 18y = 66
5(21) - 9y = 33
y = 8º
Jacob has a piece of paper in the shape of a Decagon, how many sides would be there for the
paper.
A) 7
B) 8
C) 9
D) 10
Answer:
10
Step-by-step explanation:
A decagon is a polygon that has 10 sides !
Where would you locate √6 on the number line?...
Between 2.75 and 3.0
Between 2.5 and 2.75
Between 2.0 and 2.25
Between 2.25 and 2.5
Answer:
Between 2.25 and 2.5
Step-by-step explanation:
The square root of 6 is 2.4494.... which is closer to 2.5
1+9 help me now plssssss
Answer:
10
Step-by-step explanation:
you do the one plus the nine which gives you 11 then subtract 2 which gets you 9 then add 4 which gets you 13 then minus 3 which gets you 10.
Five more than a number is equal to seven-halves of the number What is the number?
HELP
Answer:
The number is 2
Step-by-step explanation:
To attempt this question, we need to represent the number with (x).
Let the number be x
Five more than the number is:
5 + x
Seven-halves means 1/2 × 7 = 7/2
Mathematically, the question is saying:
5 + x = 7/2 × x
5 + x = 7x/2
Cross multiply;
2(5 + x) = 7x
10 + 2x = 7x
We collect like terms;
10 = 7x - 2x
10 = 5x
x = 10/5
x = 2
The number represented by x is 2
We want to convert the given sentence into an equation, and then solve it. We will see that the number is 2.
Finding the equation
We start with the sentence:
"Five more than a number is equal to seven-halves of the number"
if we define x as the number, we can write:
5 + x = (7/2)*x
Now we can solve this equation for x, we will get:
5 + x = (7/2)*x
5 = (7/2)*x - x = (7/2 - 1)*x
5 = (7/2 - 2/2)*x = (5/2)*x
(2/5)*5 = x
2 = x
So the number is 2.
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A device runs until either of two comonents fails, at which point the device stops running. The joint density function of the lifetimes of the two components, both measured in hours, is f(x,y) = x + y/8 for 0 < x < 2 and 0 < y < 2Calculate the probability that the device fails during its first hour of operation.
Answer:
The probability that the device fails during its first hour of operation is 0.625.
Step-by-step explanation:
The joint density function of the lifetimes of the two components, both measured in hours, is:
[tex]f(x,y)=\frac{x+y}{8};\ 0<x<2,\ 0<y<2[/tex]
Compute the probability that the device fails during its first hour of operation as follows:
[tex]P[(X<1)\cup (Y<1)]=1-\int\limits^{2}_{1} {\int\limits^{2}_{1} {\frac{x+y}{8}} \, dx } \, dy[/tex]
[tex]=1-\int\limits^{2}_{1} {\frac{x^{2}+2xy}{16}}|^{2}_{1} \, dy\\\\=1- \int\limits^{2}_{1}[{\frac{4+4y}{16}-\frac{1+2y}{16}}] \, dy\\\\=1-\int\limits^{2}_{1}{\frac{3+2y}{16}}\, dy\\\\=1-[\frac{3y+y^{2}}{16}]^{2}_{1}\\\\=1-0.375\\\\=0.625[/tex]
Thus, the probability that the device fails during its first hour of operation is 0.625.
someoneeeeee pleaseeeeee help meeee
Answer: x=60
Step-by-step explanation:
x+22+x+6+x−28=180
Step 1: Simplify both sides of the equation.
x+22+x+6+x−28=180
x+22+x+6+x+−28=180
(x+x+x)+(22+6+−28)=180(Combine Like Terms) 22+6=28 and then 28-28=0
3x=180
3x=180
Step 2: Divide both sides by 3.
3x/3 = 180/3
x=60
hope this was helpful.
The slipe of the line passing through the points (7, 5) and (21, 15) is
Answer:
5/7
Step-by-step explanation:
You find a slope by using the equation y2-y1/x2-x1.
In this case: 15-5/21-7
10/14
5/7
You have asked to design a rectangle box with a square base and an open top. The volume of the box must be620 cm to the 3rd power. the cost of the material for the base is $0.40 per square cm and the cost of the material for the side is $0.10 per square cm.How to determine the dimension of the box that will minimize the cost of manufacturing. What is the minimum cost? in dollars and rounded to the nearest cent.
Answer:
$69.21
Step-by-step explanation:
Since the box has a square base the length and breadth of the box will be equal. Let it be [tex]x[/tex]
Let h be the height of the box
V = Volume of the box = [tex]620\ \text{cm}^3[/tex]
[tex]x^2h=620\\\Rightarrow h=\dfrac{620}{x^2}[/tex]
Now surface area of the box with an open top is given
[tex]s=x^2+4xh\\\Rightarrow s=x^2+4x\dfrac{620}{x^2}\\\Rightarrow s=x^2+\dfrac{2480}{x}[/tex]
Differentiating with respect to x we get
[tex]\dfrac{ds}{dx}=2x-\dfrac{2480}{x^2}[/tex]
Equating with zero
[tex]0=2x-\dfrac{2480}{x^2}\\\Rightarrow 2x^3-2480=0\\\Rightarrow x^3=\dfrac{2480}{2}\\\Rightarrow x=(1240)^{\dfrac{1}{3}}\\\Rightarrow x=10.74[/tex]
Double derivative of the function
[tex]\dfrac{d^2s}{ds^2}=2+\dfrac{4960}{x^3}=2+\dfrac{4960}{1240}\\\Rightarrow \dfrac{d^2s}{ds^2}=6>0[/tex]
So, x at 10.74 is the minimum value of the function.
[tex]h=\dfrac{620}{x^2}\\\Rightarrow h=\dfrac{620}{10.74^2}\\\Rightarrow h=5.37[/tex]
So, minimum length and breadth of the box is 10.74 cm while the height of the box is 5.37 cm.
The total area of the sides is [tex]4xh=4\times 10.74\times 5.37=230.7\ \text{cm}^2[/tex]
The area of the base is [tex]x^2=10.74^2=115.35\ \text{cm}^2[/tex]
Cost of the base is $0.40 per square cm
Cost of the side is $0.10 per square cm
Minimum cost would be
[tex]230.7\times 0.1+0.4\times 115.34=\$69.21[/tex]
The minimum cost of the box is 69.21 dollars.
What is the reciprocal of 8 5/6
Answer:
6/53
Step-by-step explanation:
a piece of metal has a mass of 2210g the volume of the metal is 260cm3 what is the density of the piece of metal
Answer:
The density is 8.5 g/cm³
Step-by-step explanation:
The density formula is density = mass/volume
When we plug our numbers into the formula, we get:
Density = 2210 / 260
We can then solve and get our answer 8.5 g/cm³
It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³.
How are density, volume and mass of a substance related?Suppose that a finite amount of substance is there having its properties as:
The mass of substance = m kg
The density of substance = d kg/m³
The volume of that substance = v m³
Then, they are related as:
[tex]d = \dfrac{m}{v}[/tex]
It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 .
density = mass/volume
When we substitute our numbers into the formula, we get:
Density = 2210 / 260
Density = 8.5 g/cm³
It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³
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Name a street that is perpendicular to Hwy 64/40 . Can you help with all these questions
Answer:
no puedo alludar te perdón
Find the measure of each angle
Answer:
All the work and answer is on the screenshot I have attached.
Step-by-step explanation:
Will spent $3.75 for 5 1/2 pounds of granola. What is his unit rate in dollars per pound to the nearest cent?
Answer:
Unitary cost (per pound)= $0.682
Step-by-step explanation:
Giving the following information:
Total cost= $3.75
Total pounds= 5.5 pounds
To calculate the unitary cost of each pound, we need to use the following formula:
Unitary cost= total cost / total pounds
Unitary cost per pound= 3.75 / 5.5
Unitary cost per pound= $0.682
1. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Calculate the Z score associated with 3 siblings. Your answer should be rounded to two decimal places, like 5.43 or 1.30.
2. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Using the standard normal table, calculate the proportion of respondents who had more than 2 siblings. Your answer should be rounded to two decimal places, like 0.43 or 0.30.
Answer:
-0.24 ; 0.71
Step-by-step explanation:
Given that :
Mean number of siblings (m) = 3.76
Standard deviation (s) = 3.18
Z score associated with 3 siblings
x = 3
Using the relation :
Zscore = (x - m) / s
Zscore = (3 - 3.76) / 3.18
Zscore = - 0.76 / 3.18
Zscore = −0.238993
Zscore = - 0.24
2.) proportion of respondents with more than 2 siblings
Using the z probability calculator :
X > 2
Obtain the standardized score :
Zscore = (x - m) / s
Zscore = (2 - 3.76) / 3.18
Zscore = - 1.76 / 3.18
Zscore = −0.5534591
Zscore = - 0.55
Using the z table :
P(Z ≥ - 0.55) = 1 - p(Z ≤ - 0.55) ; p(Z ≤ - 0.55) = 0.2912
1 - p(Z ≤ - 0.55) = 1 - 0.2912 = 0.7088 = 0.71
-25.63+ -30.59 ??? Can someone let me know what this equals?
Answer:
= -56.22
Step-by-step explanation:
have a great day
pls mark as brainliest!
hope this helped!
Answer:
-56.22
just calculated it (: