Answer:
7 hrs
Step-by-step explanation:
$187 for 11 hrs
$119 for x hrs
write a proportion.
187/11 = 119/x since Reuben is making money at the same rate.
solve for x:
187x = 1309
x=7
7 hours
Answer:
7 hours
Step-by-step explanation:
Reuben works for 11 hours to earn $187
This means, his earnings rate is $187 per 11 hours of work
In 1 hour he would earn = 187/ 11 = $17
Therefore, he earns $17 in 1 hour
To find out how many hours he has to work to make $119, we multiply this by the rate.
He will earn $119 in = $119 x (1 hour/ $17) = 7 hours
Reuben has to work 7 hours to make $119
A cube has a side length of 120 cm what is its volume in cubic meters 100 com 1 m
Answer:
1.728 m^3
Step-by-step explanation:
120 cm = 1.20 m
V = 1.20^ 3 = 1.728 m^3
Answer:
\(\huge\boxed{\sf Volume = 1.728 \ m\³}\)
Step-by-step explanation:
Length = l = 120 cm = 1.2 m
We know that,
Volume of a cube = Length³Volume = 1.2³
Volume = 1.728 m³
\(\rule[225]{225}{2}\)
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Jane has been practicing sewing, and she wants to make a rectangular blanket to give as a gift to her best friend. So that the blanket is not too small, Jane decides the blanket will have an area of approximately 40 square feet, or 5,760 square inches. She also wants the blanket to be 18 inches longer than it is wide to have room to embroider her friend's name along one edge.
To the nearest tenth of an inch, what is the width of the blanket?
The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
What is width in rectangle ?
In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.
Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.
The area of the blanket is given by:
Area = Length x Width
5760 sq inches = (x + 18) inches * x inches
Expanding the right-hand side and solving for x, we get:
\(x^2 + 18x - 5760 = 0\)
We can solve this quadratic equation using the quadratic formula:
\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)
where a = 1, b = 18, and c = -5760. Plugging in these values, we get:
\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)
\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)
x ≈ 67.42 or x ≈ -85.42
Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
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Using Compound Interest, calculate the principle and interest earned (final
balance/principal
and interest) if:
Principle=$2,000
Interest Rate=8.5%
Time=10 years
Interest Calculated Quarterly
Answer: 20,085
Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.
I hope I got this right and if I did it right.
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?
Easy Algebra question!
Let's use "x" as a variable.
The equation would be x+x+60 = 240 with "x" being George's weight.
Subtract 60 from both sides and you get 2x = 180.
From there you divide both sides by 2, getting x=90.
"x" is George's weight, so he weighs 90 pounds.
ANSWER: 90 POUNDS
The weight of George is 90 pounds and the weight of George's brother is 150 pounds.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
George weighs 60 pounds less than his older brother.
Together they weigh 240 pounds.
Let George weigh be x and his brother weigh be y.
x + y = 240 ...1
x = y - 60 ...2
Then from equations 1 and 2, we have
2x = 180
x = 90
Then y will be
y = 90 + 60
y = 150
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The size of the largest angle in a triangle is 3 times the size
of the smallest angle.
The third angle is 10° more than the smallest angle.
Work out the size, in degrees, of each angle in the triangle.
You must show your working (let x be the smallest angle).
Answer:
34˚, 102˚, 44˚
Step-by-step explanation:
Smallest angle=x
Largest angle= 3x
Third angle= x+10
180=x+(x+10)+3x
180=5x+10
170=5x
x=170/5=34
x=34
3x= 3×34=102
x+10=34+10=44
34, 102, 44
Let the smallest angle be X
We are given, X + 3X + X+10 = 180
X +3X + X+10 = 180
5X + 10 =180
5X= 170
X = 34
We got the smallest angle as 34 degrees
The largest angle is 3X which will be 3 × 34 = 102 degrees
the third angle will be 34 + 10 = 44 degrees
To see whether the answer is correct, add the three angles and they should give me the sum of 180.
44 + 34 + 102 = 180
Thus, the answer.
A bottle contains 2 liters. The bottle leaks 80 milliliters of water every 3 minutes
The full question: A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in 1 hour? Explain why or why not. (1 liter = 1,000)
The bottle will NOT be empty in an hour. However, it will leak 26.6 milliliters in a minute, so 1.596m in an hour.
Hope that helps!
Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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Choose the best multiple choice option below! Thanks in advance!
Answer:
Q5. D, Q6. D, Q9. B.--------------------
Question 5The range of the given function has one restriction, its denominator can't be zero, hence:
3x + 4 ≠ 0 ⇒ 3x ≠ - 4 ⇒ x ≠ - 4/3Therefore the function can get any value but zero:
y ≠ 0The matching answer choice is D.
Question 6Linear function is f(x) = mx + b.
Reciprocal of a function f(x) is 1/f(x).
So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).
The only answer choice in same form is D.
Question 9Substitute x = - 5/3 into function to get:
\(f(x)=\cfrac{1}{3*(-5/3)+5} =\cfrac{1}{-5+5} =\cfrac{1}{0}\)This is undefined value, therefore it represents the vertical asymptote.
The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).
Therefore the correct choice is B.
Arrange the following numbers in ascending order. (a) 5812214,
Answer:
1, 1, 2, 2, 4, 5, 8
Step-by-step explanation:
Hope this helps :)
Maybe brainliest?
The slope of line
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
Answer:
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
PLEASE I NEED HELP
Use composition to prove that f(x) and g(x) are inverses. Check your work
F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.
How do you verify that f x and G x are inverses?If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.
Explanation:
Instance 1
Inverse functions of both functions can be found using the first method.
Example.
Inverse of f (x) = x + 7 is what we're looking for.
We attempt to determine x using the equation y = x + 7.
y = x + 7
Inferring that g (x) is the inverse of f (x) from the fact that x = y 7
Finding g (x inverse )'s is now necessary.
g( x ) = x − 7
y = x − 7
x = y + 7
As a result, we discovered that f (x) is the inverse function of g (x).
f and g are equal if g is inverse of f and vice versa.
The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.
Example:
f ( g ( x ) = [ x − 7 ] + 7
G ( x ) placed as x is the expression in brackets.
f ( g ( x ) ) = x − 7 + 7 = x
g (f ( x ) = [ x + 7 ] − 7
f ( x ) inserted as x is the expression in brackets.
g ( f ( x ) ) = x + 7 − 7 = x
The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.
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Linear Inequalities
Anderson's Entertainment Bus Company charges a $19.95 flat rate for a party bus. In addition to that,
they charge $1.75 per mile. Chenelle has no more than $300 to spend on the party bus. At most, how
many miles can Chenelle travel without exceeding her spending limit?
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
We have,
To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.
So,
Subtract the flat rate from Chenelle's budget:
Budget after subtracting the flat rate.
= $300 - $19.95
= $280.05
Divide the remaining budget by the cost per mile to find the maximum number of miles:
Maximum miles = Budget after subtracting the flat rate / Cost per mile
= $280.05 / $1.75
Using division.
Maximum miles = 160.028571
Therefore,
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
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Out of the 25 families that Tod delivered magazines to on
Friday, 10 families were home and the rest were away. How is
the fraction of magazines that were delivered to families who
were home written as a decimal?
The fraction of magazines that were delivered to families who were home written as a decimal is 0.4
Difference between fraction and decimal?
There are just two ways to represent numbers: fractions and decimals. In comparison to decimals, where the whole number part and the fractional part are connected by a decimal point, such as in the case of 0.5, fractions are expressed as p/q, where q0. Decimals and fractions show the link between parts and wholes. We use 1 to represent the entire in fractions and decimals. To comprehend the relationship between fractions and decimals, let's look at some instances. Think of a six-slice, full-thin crust pizza. Your mother gave you three slices, or half of it, which is written as 1/2 in fractional form and as 0.5 in decimal form.Total number of families = 25
Number of families in home = 10
Then, number of families away = 25 - 10 = 15
Fraction of magazines that were delivered to families who were home
= Number of families in home/ Total number of families
= 10 / 25
= 0.4
Hence, the fraction of magazines that were delivered to families who
were home written as a decimal is 0.4
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Molly needs to practice her piano piece 27 times before her recital. She can practice the piece 3 times in one hour.
How many hours will it take her to be ready?
Answer:
Step-by-step explanation:
Determine the measure of angle b, and describe the relationship between the two angles shown.
None of these
40 degrees; supplementary
40 degrees; complementary
130 degrees; complementary
130 degrees; supplementary
linear pair angles are supplementary
b+50=180b=180-50b=130°if you could help that would be greatly appreciated
Answer: search
Step-by-step explanation: look up the question on your browser and the answer will pop up
A sequence can be generated by using an= 3an-1, where a1 = 10 and n is a whole number greater than 1.
What are the first 3 terms in the sequence?
A. 3, 13, 23
B. 10, 30, 90
C. 10, 13, 16
D. 3, 30, 300
Answer:
B
Step-by-step explanation:
using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then
a₁ = 10
a₂ = 3a₁ = 3 × 10 = 30
a₃ = 3a₂ = 3 × 30 = 90
the first 3 terms are 10 , 30 , 90
3. Put these distances in order from least to greatest: 3/16 mile, 1/8 mile, 3/4 mile.
I have some geometry questions today!
Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!
Anyways, please show all of you work and explain your thinking! Good luck!
Answer:
Question 7Arc LM has length of:
LM = 2πr*72/360LM = 2π*1*1/5LM = 2π/5Question 8Area of the given sector:
πr²*θ/360 = x²π*(360 - 75)/360 =x²π(19/24) = 19πx²/24Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
please help will give brainliest
The normal distribution An automobile battery manufacturer offers a 31/54 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 31 months but within 54 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that x, the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months. Use the following Distributions tool to help you answer the questions that follow. (Hint: When you adjust the parameters of a distribution, you must reposition the vertical line (or lines) for the correct areas to be displayed.)
1. If the manufacturer's assumptions are correct, it would reed to replace _______ of its batteries free.
2. The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of ____ results in a 1.07% replacement rate.
3. Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?
Answer:
1) if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.
2) a standard deviation of 6.0843 results in a 1.07% replacement rate
3) using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit
Step-by-step explanation:
based on the given data;
x will represent the random variable such that the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months
so
x → N( U = 45, ∝ = 5.6)
Under the warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charges to the consumer.
if the battery fails after 31 months but within 54 months, the manufacturer provides a prostrated credit towards the purchase of anew battery
1) If the manufacturer's assumptions are correct,
p(x < 3) = p( [x-u / ∝ ] < [ 31-45 / 5.6] )
= p( z < -2.5 )
using the standard normal table,
value of z = 0.0062 ≈ 0.62%
so if the manufacturer's assumptions are correct, it would reed to replace 0.62% of its batteries free.
2)
The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect, so a standard deviation of ? results in a 1.07%
so lets say;
p ( x < 31 ) = ( 1.07%) = 0.0107
p ( [x-u / ∝ ] < [ 31-45 / ∝] ) = 0.0107
now from the standard table
-2.301 is 1.07%
so
( 31 - 45 / ∝ ) = -2.301
-14 / ∝ = -2.301
∝ = -14 / - 2.301
∝ = 6.0843
therefore a standard deviation of 6.0843 results in a 1.07% replacement rate
3)
Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?
p( 31 < x < 54 ) = p ( [31 - u / ∝ ] < [ x-u / ∝] < [ 54 - 45 / ∝] )
= p ( [31 - 45 / 6.0843 ] < [ x-u / ∝] < [ 54 - 45 / 6.0843] )
= p ( -2.301 < z < 1.4792 )
= p(Z < 1.5) - p(Z < -2.3)
= 0.9393 - 0.0108
= 0.919 ≈ 91.9%
therefore using the revised standard deviation for battery life, 91.9% of the manufacturer's batteries don't get free replacement but qualifies for the prorated credit
Which expression is equivalent.
Option A is the correct answer
Answer:
ok so the correct answer is A!
Step-by-step explanation:
hope it helped!
have a nice day.
6x2 + 14 - 10x
What is the value of the expression when x = 5?
A.
170
B.
24
C.
114
D.
864
\(\lsrge\text{Hey there!}\)
\(\mathsf{6x^2 + 14 - 10x}\\\mathsf{= 6(5)^2 + 14 - 10(5)}\\\mathsf{= 6(\bold{25}) + 14 - 10(5)}\\\mathsf{= \bold{150} + 14 - 10(5)}\\\mathsf{= \bold{164} - 10(5)}\\\mathsf{= 164 - \bf 50}\\\mathsf{= \bf 114}\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ C. 114}}}\huge\checkmark\)
\(\large\text{Good luck on assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Use a model to find the missing value in the proportion.
A. 4
B. 5
C. 10
D. 22
Please select the best answer from the choices provided
OA
OB
O C
OD
The missing value in the proportion is C- 10
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that 2/5 = ?/25
Let x be the unknown number.
Here first we have the bottom half of type equation equal each other
5x=25 (2)
x= 25 (2) / 5
x = 5 (2)
x = 10
10 is the answer
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Points A, B, and C are collinear. If BC= 8.5 and AC= 13.2, select all possible values of AB
A. 4.7
B. 3.8
C. 21.7
D. 8.5
E. 13.2
I know that A is for sure an answer but I think there’s supposed to be another one
Points A, B, and C are collinear then the possibility of AB will be equal to 4.7. Hence, option A is correct.
What are Collinear Points?Points that are parallel to or within a single line are referred to as collinear points. In Euclidean space, two or more points have been shown to be collinear if they are situated on a line that is either close to or far from another.
As per the given information in the question,
The case is that when B is in between A and C, which means A, B, and C are collinear.
So,
AB + BC = AC
AB + 8.5 = 13.2
AB = 13.2 - 8.5
AB = 4.7
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Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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PLSSS HELP it’s half my grade
The units are always squared.
The area can be found when given the diameter by first finding the radius.
Circumference can be used to find area.
Simplify \sqrt[3]{135^{a13}}
The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³
How to evaluate the radical expressionFrom the question, we have the following parameters that can be used in our computation:
A radical expression
The radical expression is given as
\sqrt[3]{135^{a13}}
Represent the expression properly
So, we have the following representation
∛135a¹³
Apply the exponent rule of indices
This gives
∛135a¹³ = (135a¹³)¹/³
135 and a¹³ are not perfect cube root expressions
This means that the expression cannot be further simplified
Hence, the solution is (135a¹³)¹/³
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