Answers
[tex] \frac{2m^2-4m}{2(m-2)} = \frac{2m(m-2)}{2(m-2)} =m[/tex]
[tex] \frac{m^2-2m+1}{m-1} = \frac{(m-1)^2}{m-1} =m-1[/tex]
[tex] \frac{m^2-3m+2}{m^2-m} = \frac{(m-2)(m-1)}{m(m-1)} = \frac{m-2}{m} [/tex]
[tex] \frac{m^2-m-2}{m^2-1} = \frac{(m+1)(m-2)}{(m+1)(m-1)} = \frac{m-2}{m-1} [/tex]
We can conclude that you should your rational expressions as follows:
[tex]\frac{m-2}{m}----\ \textgreater \ \frac{m^2-3m+2}{m^2-m} [/tex]
[tex]m-1----\ \textgreater \ \frac{m^2-2m+1}{m-1}[/tex]
[tex]\frac{m-2}{m-1}----\ \textgreater \ \frac{m^2-m-2}{m^2-1}[/tex]
[tex]m----\ \textgreater \ \frac{2m^2-4m}{2(m-2)}[/tex]
Answer:
m-2/m=m^2-3m+2/m^2-m
m-1=m^2-2m+2m+1/m-1
Step-by-step explanation:
Related Questions
if a ship sailed due south from iceland to antarctica, it would sail through an angle of rotation of about 140 degrees around Earth's center. Find this measure in radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel
Answers
the ship would travel approximately 9685.82 miles from Iceland to Antarctica.
To convert the angle from degrees to radians, we use the conversion factor[tex]\( \pi \)[/tex]radians = 180 degrees.
[tex]\[ \text{Angle in radians} = \frac{\text{Angle in degrees} \times \pi}{180} \][/tex]
In this case, the angle in degrees is 140 degrees:
[tex]\[ \text{Angle in radians} = \frac{140 \times \pi}{180} \]\[ \text{Angle in radians} = \frac{140}{180} \times \pi \]\[ \text{Angle in radians} = \frac{7}{9} \pi \][/tex]
Next, we'll find how far the ship would travel using Earth's radius. The distance traveled on a circle is given by the formula:
[tex]\[ \text{Distance} = \text{radius} \times \text{angle in radians} \][/tex]
Given Earth's radius as 3960 miles and the angle in radians as [tex]\( \frac{7}{9} \pi \)[/tex], we can calculate the distance:
[tex]\[ \text{Distance} = 3960 \times \frac{7}{9} \pi \]\[ \text{Distance} = 3080 \pi \]\[ \text{Distance} \approx 9685.82 \text{ miles} \][/tex]
So, the ship would travel approximately 9685.82 miles from Iceland to Antarctica.
At what position does the ball have its maximum potential energy
A) a
B) d
C) f
D) g
Answers
So it is D the highest point of the trajectory.
Seed corn was $5 per bag, whereas dog food cost only $3 per bag. Wewoka bought 50 bags and spent $190. How many bags of dog food did she buy?
Answers
You can make two equations based on what you know
x + y = 50
5x + 3y = 190
Subtract y from both sides of the first equation
x = 50 - y
Put x into the second equation
5(50 - y) + 3y = 190
Distribute the 5
250 - 5y + 3y = 190
Combine like terms
250 - 2y = 190
Subtract 250 from both sides
-2y = -60
Divide both sides by -2
y = 30
Put y into the first equation
x + 30 = 50
Subtract 30 from both sides
x = 20
She bought 20 seed corn bags and 30 bags of dog food
Hope this helps!
Answer:
30 bags
Step-by-step explanation:
Nc + Nd = 50
5Nc + 3Nd = 190
Multiply by -5 becomes:
-5Nc - 5Nd = -250
5Nc + 3Nd = 190
Equals:
-2Nd= -60
simplify:
-2Nd/-2 and -60/-2 = Nd= 30 bags
what is the value of B in the equation y ^ b ^ 4 equals 1 / y ^ 24
A) -20
B)-6
C)6
D)20
Answers
Step-by-step explanation:
y^b^4=1/y^24
y^b^4xy^24=1
b^4y^25=1
b^4=1/y^25
√b^4=√1/y^25
b=√1/y^25
It's B. -6
apparently i have to write at least 20 characters so,,,, sorry yall.
Alfonso went to famous Sam’s appliance store
Answers
Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3)by letting x=3 in both expressions. What is the value of each expression when x=3
3 and -20
4 and 4
-20 and -20
3 and 4
Answers
-4x-8
-2 (x + 1) -2 (x + 3)
Evaluating x = 3 in both expressions we have:
-4 (3) -8 = -12 - 8 = -20
-2 (x + 1) -2 (x + 3) = -2 (3 + 1) -2 (3 + 3) = -2 (4) -2 (6) = -8-12 = -20
Answer:
the value of each expression when x = 3 is:
-20 and -20
The function f(x) = 68(1.3)x represents the possible squirrel population in a park x years from now. Each year, the expected number of squirrels is ____ the number the year before. A. 3 times B. 1.3 times C. 3 more than D. 0.3 times
Answers
It is 1.3 times more than the year before. (APEX)
help me pls with the answers pls, identify each pair of angles as complementary,supplementary, or neither
Answers
2. Supplementary
3. Supplementary
4. Complementary
40 + 2x = 90
2x = 50
x = 25
5. Supplementary
6x + 60 = 180
6x = 120
x = 20
2. Supplementary
3. Complementary
sorry i am not sure about 4 and 5.
Find the area of the trapezoid.
A) 18 cm2
B) 22.5 cm2
C) 27 cm2
D) 45 cm2
Answers
Answer:
27 cm2
Step-by-step explanation:
The answer is 27 cm 2 because if you use length x base x height you would get your answer. So 6 x 3 x 3 = 54 and then if you divide that by 2 you would get 27
Answer:
the answer is C), 27 cm2
Step-by-step explanation:
What is the decimal equivalent of the fraction?
4/30
A) 0.13⎯⎯⎯⎯
B) 0.13
C) 0.1⎯⎯3
D) 0.13⎯⎯
Answers
4 ÷ 30 = 0.13 (3 goes on forever)
I am assuming the answer is A) 0.13 ---------------------
because the line is longer.
Answer:
Option A [tex]\frac{4}{30}=0.13333...=0.1\bar3[/tex]
Step-by-step explanation:
Given : Expression [tex]\frac{4}{30}[/tex]
To find : What is the decimal equivalent of the fraction?
Solution :
Step 1 - Write the fraction
[tex]\frac{4}{30}[/tex]
Step 2 - Divide the numerator by denominator,
[tex]\frac{4}{30}=0.13333...[/tex]
or [tex]\frac{4}{30}=0.13333...=0.1\bar3[/tex]
Therefore, Option A is correct.
A recipe for dessert calls for 2/4 cup of powdered sugar and 1/6 cup of brown sugar . What is the total amount of sugar needed for the recipe
Answers
What is the surface area of the ramp in square feet and if each square foot of wood on the ramp is sold for three dollars how much would the ramp sell for
Answers
[surface area of the ramp]=10*16+8*16+6*16+2*[6*8/2]
[surface area of the ramp]=160+128+96+48-----> 432 ft²
the answer Part a) is
the surface area of the ramp is 432 ft²
if 1 ft² is sold for--------------------> $3
432 ft²-------------------> x
x=432*3-----> x=$1296
the answer Part b) is
$1296
Which of the following sets of numbers could be the lengths of the sides of a triangle? A. 81 mm, 7 mm, 6 mm B. 81 mm, 7 mm, 72 mm C. 81 mm, 7 mm, 88 mm D. 81 mm, 7 mm, 77 mm
Answers
The triangle inequality states that for any triangle, the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
case A. 81 mm, 7 mm, 6 mm
6+7 is not > 81
case B. 81 mm, 7 mm, 72 mm
72+7 is not > 81
case C. 81 mm, 7 mm, 88 mm
81+7 is not > 88
case D. 81 mm, 7 mm, 77 mm
81+7 is > 77------> ok
77+7 is > 81-----> ok
81+77 is > 7-----> is ok
the answer is the option
D. 81 mm, 7 mm, 77 mm
The correct option is B. 81 mm, 7 mm, 72 mm could be the lengths of the sides of a triangle.
To determine if a set of numbers could be the lengths of the sides of a triangle, the Triangle Inequality Theorem must be satisfied. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's apply this theorem to each set of numbers:
A. 81 mm, 7 mm, 6 mm
- The sum of the two smallest sides is 81 + 6 = 87 mm, which is greater than the third side, 7 mm. However, the sum of the two smallest sides, 7 + 6 = 13 mm, is not greater than the largest side, 81 mm. Therefore, these lengths cannot form a triangle.
B. 81 mm, 7 mm, 72 mm
- The sum of the two smallest sides is 7 + 72 = 79 mm, which is greater than the third side, 81 mm. This set satisfies the Triangle Inequality Theorem.
C. 81 mm, 7 mm, 88 mm
- The sum of the two smallest sides is 81 + 7 = 88 mm, which is equal to the third side, 88 mm. According to the Triangle Inequality Theorem, the sum must be strictly greater than the third side, so these lengths cannot form a triangle.
D. 81 mm, 7 mm, 77 mm
- The sum of the two smallest sides is 7 + 77 = 84 mm, which is greater than the third side, 81 mm. However, the sum of the two smallest sides, 81 + 7 = 88 mm, is not greater than the third side, 77 mm. Therefore, these lengths cannot form a triangle.
Based on the Triangle Inequality Theorem, the only set of lengths that can form a triangle is option B: 81 mm, 7 mm, 72 mm.
A scientist conducted an experiment to determine whether an organic cleaner is as effective as a non-organic cleaner in killing germs that cause colds and the flu. To conduct the experiment, the scientist randomly selected 50 doorknobs in a hospital. He cleaned 25 of the door knobs with the organic cleaner, and he cleaned the remaining 25 door knobs with the non-organic cleaner. After cleaning and testing all of the doorknobs, the scientist reported that the organic cleaner killed 90% of germs that cause colds and the flu on the doorknobs, while the non-organic cleaner killed 95% of germs that cause colds and the flu on the doorknobs. What can be concluded from the scientist's report?
Answers
1. A non-oraganic cleaner is 95% effective
2. An organic cleaner is 90% effective
3. Therefore, an organic cleaner is not as effective as a non-organic cleaner in killing germs that cause colds and the flu.
Therefore, an organic cleaner is not as effective as a non-organic cleaner in killing germs that cause colds and the flu.
Factor completely 2x3 + 10x2 + 4x + 20.
2(x3 + 5x2 + 2x + 10)
2[(x + 5)(x2 + 2)]
(2x + 10)(x2 + 2)
(x + 5)(2x2 + 4)
Answers
= 2(x^3 + 5x^2 + 2x + 10)
= 2[x^2(x + 5) + 2(x + 5)]
= 2[(x+5)(x^2 + 2)]
answer
2[(x + 5)(x^2 + 2)]
Answer:
Step-by-step explanation:
Alright, lets get started.
The given expression is :
[tex]2x^3+10x^2+4x+20[/tex]
taking 2 common factor
[tex]2(x^3+5x^2+2x+10)[/tex]
[tex]2(x^3+2x+5x^2+10)[/tex]
[tex]2[(x+5)(x^2+2)][/tex]
So, the correct answer is option B : answer
Hope it will help :)
If a PENNY has a circumference of 59.69 millimeters, what is the radius?
Answers
59.69 = 2[tex] \pi [/tex]r
Divide both sides by [tex]2 \pi [/tex] to isolate the variable r.
r = 59.69 / [tex]2 \pi [/tex]
Put that into the calculator
r ≈ 93.7608 mm
The radius of the penny is 9.54 millimeters.
What is circumference?The circumference means the length of the literal line that surrounds and forms a circle.
What is the formula for the circumference of circle?The formula for the circumference of the circle is given by
[tex]circumference = 2\pi r[/tex]
Where,
r is the radius
and π = 3.14
What is radius?A radius is a straight line from the center of a circle to the circumference of a circle.
According to the given question.
We have a penny whose circumference is 59.69 millimeters.
Let r be the radius of the penny and 2πr be the circumference of the penny.
Since we know that, the shape of the penny is circular.
Therefore,
The radius, r of the penny is given by
[tex]2\pi r= 59.69[/tex]
[tex]\implies r = \frac{59.69}{2\pi }[/tex]
[tex]\implies r = \frac{59.69}{2(3.14)}[/tex]
[tex]\implies r = \frac{59.69}{6.28}[/tex]
[tex]\implies r = 9.54\ millimeters[/tex]
Hence, the radius of the penny is 9.54 millimeters.
Find out more information about radius and circumference of the circle here:
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write an equation that represents each mixed number as a sum of whole numbers and unit fractions 4 1/4
Answers
The equation that represents each mixed number as a sum of whole numbers and unit fractions of [tex]4\frac{1}{4}[/tex] is [tex]4\frac{1}{4}[/tex] = 4 + 1/4.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
We have the mixed fraction,
[tex]4\frac{1}{4}[/tex].
Converting the mixed fraction to an improper fraction,
[tex]4\frac{1}{4}[/tex] = 17/4
We need to write it as a sum of whole numbers and unit fractions:
So, it becomes,
[tex]4\frac{1}{4}[/tex] = 4 + 1/4
[tex]4\frac{1}{4}[/tex] = (16 + 1)/4
[tex]4\frac{1}{4}[/tex] = 17/4
Therefore, [tex]4\frac{1}{4}[/tex] = 4 + 1/4 is the required equation.
To learn more about the fractions;
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Latoya drives 8 miles to work in 13 minutes what is her average rate
Answers
What’s $54.00 for 3 tickets in unit rate
Answers
A bag contains 5 red marbles, 7 white marbles, and 6 blue marbles. Find P(red or blue).
Answers
Answer:
P(red or blue) = 5/18 + 6/18 = 11/18
A rectangular bathtub is 5 1/2 feet Long, 1 1/2 feet wide, and 3 feet high. Daniel fills the tub to a depth of 2 feet. What is the volume of the water in the tub?
Answers
[volume of a rectangular prism]=L*W*H
for
L=5 1/2 ft-----> (5*2+1)/2----> 11/2 ft
W=1 1/2 ft----> (1*2+1)/2----> 3/2 ft
H=2 ft
so
volume of the water in the tub=(11/2)*(3/2)*2---> 16.5 ft³
the answer is
the volume of the water in the tub is 16.5 ft³
which equation models the population (in millions), p, of austinberg t years after january 1, 2000
Answers
A!!!!!!!!!!!!
What is 0.(24) ̅ (the 24 is repeating) expressed as a fraction in simplest form?
What is 0.24 ̅ (the 4 is repeating) expressed as a fraction in simplest form?
What is 0.24 expressed as a fraction in simplest form?
PLEASE SHOW YOUR WORK
Answers
a)let 0.24 be x.
100x(two zeros because two decimals are repeating)=24.24 ̅(24 is repeating)
Now subtract 100x-x on both sides. This forms an equation.
100x-x=24.24(.24 is repeating) -0.24(.24 is repeating)
99x=24
x=24/99
simplest form=8/33
b)Follow the same rule.
let 0.24(4 is repeating) be x
Since there is two decimals in total , 100x=24.44(4 is repeating)
But since there is one decimal that is repeating, there will be one zero. Hence it will become 100x-10x= 24.4(4 is repeating)-2.4(4 is repeating and get the decimal point closest to the repeating decimal)
90x=22
x=22/90
Simplest form=11/45
c) 0.24 is expressed as 8/25
0.24/1
24/100(make it a whole number and add no. of zeros based on how many decimals places you move.)
Simplest form=6/25
Hope this helps you.
write and solve an inequality for this situation. To honor 50 years of business, All Strikes Bowling is having an anniversary special. Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes, how many games can he bowl?
Answers
20 - 1.25 = 18.75
18.75/.75 = 25 games
To honor 50 years of business, All Strikes Bowling is having an anniversary special. The game he can bowl is 25.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
To honor 50 years of business, All Strikes Bowling is having an anniversary special.
Shoes rent for $1.25 and each game is $0.75. If Charlie has $20 and needs shoes.
Charlie can bowl 25 games.
= 20 - 1.25
= 18.75
So, he can bowl game
= 18.75/ 0.75
= 25 games
Learn more about the unitary method;
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A hamster wheel has a diameter of 8.5 in. How many inches does the hamster run in one revolution? Use 3.14 to approximate for π .
Answers
As hamster wheel is circular so for revolution we will find the circumference.
Diameter of the Hamster wheel = 8.5 in
One revolution of the wheel = circumference of the wheel
Circumference = π × d
π = 3.14 and d = 8.5
So, Circumference = 3.14 × 8.5
Circumference = 26.69 in
So in one revolution the hamster wheel travels a distance of 26.69 in
Need help with finding the volume of this cone for #35
Answers
Volume of cone = π·r²·h /3
π = 3.14
r = 8
8 × 8 = 64
h = 12
Multiply:
3.14 × 64 × 12 = 2,411.52
Answer = 2,411.52
Hope this helped☺☺
toothbrushes are $4.00 each. there is a 10% discount but also 6% sales tax. What is the new price?
Answers
10% ⇒ 0.1
4 × 0.1 = 0.4
Subtract 0.4 from 4.
4 - 0.4 = 3.6 (price with discount)
Multiply 3.6 by 6%.
6% ⇒ 0.06
3.6 × 0.06 = 0.216
Add 0.216 to 3.6.
0.216 + 3.6 = 3.816
Round 3.816 to the hundredths.
3.816 ⇒ 3.82 (price with tax)
The new price of toothbrushes is $3.82.
Perry divides up some candy to give equally to his six friends. If c represents the total amount, write the expression to represent how much candy each friend receives.
Answers
c needs to be divided by 6 to evenly distribute the candy with all 6 friends.
The expression is c÷6.
Hope this helped.
Dirk can clean a playground in 5 hours. Geralyn can clean a playground in only 4 hours. Which of the following can be used to determine the amount of time it would take for Dirk and Geralyn to clean a playground together?
Answers
Kevin had 6 nickles and 4 dimes in his pocket. If he took out one count and then a second coin without replacing the first coin-
what is the probability that both coins were nickels?
what is the probability that both coins were dimes?
what is the probability that the first coin was a nickel and the second a dime?
Answers
P(2 Nickels): 6/10 x 5/9 = 30/90 (1/3 chance)
P(2 Dimes): 4/10 x 3/9 = 12/90 (4/30 chance)
P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)
In this detailed answer, the probabilities of drawing two coins from Kevin's pocket - with 6 nickels and 4 dimes - are explained. The probabilities of both coins being nickels and dimes are 0 due to the lack of replacement, while the probability of one nickel and one dime is 4/15.
To calculate the probabilities of drawing coins from Kevin's pocket, where he has 6 nickels and 4 dimes:
Probability both coins are nickels: Since each draw affects the remaining number of nickels and dimes, the probability is 0.
Probability both coins are dimes: Similarly, as the draws are not independent, the probability here is also 0.
Probability of one nickel and one dime: Since Kevin has 6 nickels and 4 dimes, the probability of drawing a nickel first is 6/10 (6 nickels out of 10 coins) and drawing a dime second is 4/9 (4 dimes remaining out of 9 coins), which equals 24/90 or 4/15.