Answer:
[tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x^2+2x}[/tex] ← factor denominator
= [tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
= [tex]\frac{x(x+5)}{x(x+2)}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
Subtract terms on numerator leaving the common denominator
= [tex]\frac{x^2+5x-x-1}{x(x+2)}[/tex]
= [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Answer:
a on edge
Step-by-step explanation:
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression o represent Alan’s weight in terms of Dylan’s weight.
Answer:
2x+3
Step-by-step explanation:
2x+3=Alan's Weight
2x= Dylan's weight times two
+3= the plus three more pounds
Which then equals Alan's weight.
What is the diameter of the smallest circle that would enclose 2,000 pennies?
Answer:
Almost about 4500 mm
Step-by-step explanation:
Measure the pennies width and estimate. Multilpy by 2000 and there you go!
Write each statement as an algebraic expression. The quotient of the square of a number n and the cube of n increased by 5.
Will get brainiest answer
Answer:
n² / (n³ + 5)
Can someone please help me on this????
Simplify (4^-2)^5 Pls help
Answer:
4^-10
Step-by-step explanation:
(4^-2)^5
4^-2 x 5
= 4^-10
hope this helped have fun doing school haha
Answer:
[tex]\frac{1}{32768}[/tex]
Step-by-step explanation:
[tex](4^{-2})^{5}[/tex]
[tex](\frac{1}{4^{2} }) ^{5}[/tex]
[tex](\frac{1}{8})^{5}[/tex]
[tex]\frac{1}{32768}[/tex]
What is the value of x in the equation below? −3x + 14 = 4x − 7 *
Answer:
x=3
Step-by-step explanation:
-3x+14=4x-7
-3x going to right and -7 is going to left and change sign
14+7=4x+3x
21=7x
21/7=3 , x=3
Answer:
-The value of [tex]x[/tex]:
[tex]x = 3[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]-3x + 14 = 4x - 7[/tex]
-Subtract both sides by [tex]4x[/tex] and combine [tex]-3x[/tex] and [tex]-4x[/tex] together:
[tex]-3x + 14 - 4x = 4x - 4x - 7[/tex]
[tex]-7x + 14 = -7[/tex]
-Subtract both sides by [tex]14[/tex]:
[tex]-7x + 14 - 14 = -7 -14[/tex]
[tex]-7x = -21[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{-7x}{-7} = \frac{-21}{-7}[/tex]
[tex]x = 3[/tex]
So, the final answer is [tex]x = 3[/tex].
2y + 4(y + 1) = blank y + blank
[tex]2y + 4(y + 1)[/tex]
Expand the brackets.
[tex]2y + 4y + 4[/tex]
Add the like terms.
[tex]6y + 4[/tex]
6y+4Answer:
6 y + 4
Step-by-step explanation:
=> 2y+4(y+1)
=> 2y+4y+4
=> 6y+4
The age of father is 4nyears.If the age of his daughter is(2n-9)years.find their total age.
Answer:
4n+(2n-9)
4n+2n-9
6n-9 =the total age
6n=9
divide by 6 both sides.
n=9/6
n=1.5 years.
substitute the value of n in the age of the father and the daughter.
Age of father=4×1.5
6years.
Age of Daughter = (2×1.5)-9
3-9
=-6 years
Total age
6-6=0
The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle
Answer:
166.25 cm²
Step-by-step explanation:
W = L - 8
2W + 2L = 54
2(L - 8) + 2L = 54
2L - 16 + 2L = 54
4L - 16 = 54
4L = 70
L = 17.5, W = 9.5
A = 17.5 x 9.5 = 166.25 cm²
Leshawn has $580 in a savings account that pays 3% interest.
How much interest will be earned in 5 years?
How much interest will be earned in 6 months?
Answer:
For 5 years $87
For 6 months $8.7
Step-by-step explanation:
To calculate the interests, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the amount invested called the principal = $580
R is the rate = 3%
Time differs which may be 5 years or 6 months according to the question.
kindly note that 6 months is 0.5 year
For 5 years, we have
I = (580 * 3 * 5)/100 = $87
For 6 months, we have;
I = (580 * 3 * 0.5)/100 = $8.7
153 is the product of Matt’s age and 9 use the variable m to represent Matt’s age
Answer:
m = 153/9
Step-by-step explanation:
since it is the product, you need to divide it to be able to get his age/
hope this helps! :)
How would knowing the slope of a linear function help determine whether a function is increasing or decreasing?
Answer:
3
Step-by-step explanation:
Answer:
If the slope is positive, it signifies the function is increasing, and if it's negative, it's decreasing. If the slope is exactly 0, the function is stagnant, a horizontal line
A high square prism has a length L and width W units. if its height is H Units long the find the lateral surface area of the prism .
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area of a prism is the total of the area of the faces. The lateral area of the prism is equal to the perimeter of the base times the altitude.Surface area= 2(L+W)H
Answer:
2(L+W)H
Step-by-step explanation:
The lateral surface area is the total of the area of all the faces of the prism.
Hope this helps!
Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.
A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice
Answer:
Subtract 7 from each side
Divide each side by -2
Step-by-step explanation:
-2b+7 = -13
Subtract 7 from each side
-2b+7 -7= -13-7
-2b = -20
Divide each side by -2
-2b/-2 = -20/-2
b = 1-
what is 5 1/6 (-2/5) written as a fraction
Answer:
-17/5
Use math papa it gives you the answer all you have to do is unput the equation
Step-by-step explanation:
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? reasoning Converse Deductive Inductive Indirect
Answer:
The correct option is;
Deductive
Step-by-step explanation:
Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain
In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.
True or false a multiple of 3 must end in 6 or 9
Answer: False
Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.
Answer:
True
Step-by-step explanation:
find the volume with the explanation if possible <3
Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
The value x is
Please help I’m stuck
Step-by-step explanation:
EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA
VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON
RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA
HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES
5x° = 55°
DESPEJA x
x = 55°/5° = 11
NEED HELP SOON! What is the value of x? x + StartFraction 4 Over 9 EndFraction = three-fourths StartFraction 11 Over 36 EndFraction One-third 1 and StartFraction 11 Over 16 EndFraction 1 and StartFraction 7 Over 16 EndFraction
Answer:
x=11/36
Step-by-step explanation:
1. Move the 4/9 to the right side to isolate valu e"x."
2. Create a common denominator between "4/9" and "3/4"
3. Your equation should look like this;
x=3/4-4/9
x=27/36-16/36
x=11/36
Answer:
11/36
Step-by-step explanation:
all work is in the image below!
Nine subtracted from the product of 3 and a number is less than 23
Answer:
3n-9<23
You can use any variable you want for n
Answer:
32/3
Step-by-step explanation:
Nine subtracted from the product of 3 and a number is less than 23
-9 3n < 23
3n-9 < 23
3n < 23+9
3n < 32
n < 32/3
Don't forget to say THANKS
A jar contains 3 black marbles, 4 white marbles and 5 striped marbles. If a marble is picked at random, what is the probability that it is not white? Give your answer as a fraction in lowest terms.
Please help!!!
Answer:
2/3
Step-by-step explanation:
The first person to make me become Brainliest wins the official contest!!! Hurry!
Answer:
I'm not sure but it might be 2/3????? That's just from looking at Spatrickfarley's answer. He deserves Brainliest!
Olivia is sorting through the coins in her bank to determine how
much money she has. She sees that she has $3.25 in quarters.
The equation 0.25x $3.25 can be used to figure out how
many quarters are in Olivia's bank. Using substitution, Olivia
Answer:
It is 13 quarters.
Step-by-step explanation:
0.25x=3.25
Please help! Correct answer only!
Belle got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 9 movies are scheduled to show, 7 of which feature an alien as the one main protagonist.
If Belle is randomly assigned to clean up after 6 movies, what is the probability that all of them feature an alien as the one main protagonist?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0833
Step-by-step explanation:
Consider steps below;
[tex]Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\[/tex]
[tex]Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7[/tex]
[tex]Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps![/tex]
Solution; Probability ≈ 0.0833
Can I please get help with the awnser and explanation?
Answer:
x = 32
y = 16
Step-by-step explanation:
As can be seen in the picture (replace x by z), if the long side length is z√3, the other sides are 2z and z, respectively. (Using z to avoid confusion with your pic).
So z = 16, so x=2z=32, y=x=16
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
please help very fast! Will mark brainliest!
Answer:
(D) The Last OptionStep-by-step explanation:
Answer:
D
Step-by-step explanation:
please help me with this question!
A cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase overflow?
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?
What is the length of arc S shown below? In units
Answer:
24 units
Step-by-step explanation:
2πr(X/2π)
2π(8)(3/2π) = 24
Answer:
24cm
Step-by-step explanation:
i got it right on khan
What's the chance of NOT rolling a seven using a pair of dice.
Answer:
5/6
Step-by-step explanation:
total possible = 36
Favorable = 6
1 6
6 1
2 4
4 2
3 4
4 3
Part/whole
6/36
= 1/6
NOT = 5/6