Percentage is related to 100 and tells us how much we have of a quantity compared to another one. Suppose you have 100 cars and want to know how much cars are in red color. If 70 cars are red, then 70 percent of the cars are red. In general, we can find the percentage of a number following the steps:
For this example, let's take number 200 and the percentage 20%:
STEP 1: Multiply the number by the percentage:
200 x 20 = 4000
STEP 2: Now divide the number by 100:
400/100 = 40
STEP 3: If necessary., round to the desired precision.
To calculate the percentage of a number, divide the part by the whole and multiply by 100.
Explanation:The percentage of a number is a measure of the proportion that a given quantity represents in relation to a whole, expressed as a fraction of 100. It's commonly used to express portions, ratios, and comparisons. For example, 25% of 100 is 25.
To calculate the percentage of a number, you can use the formula: (part/whole) * 100. Start by dividing the part by the whole, then multiply the result by 100. For example, if you want to find 25% of 80, you would divide 25 by 100 to get 0.25, then multiply 0.25 by 80 to get 20. So, 25% of 80 is 20.
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Answer:
24 units cubed
Step-by-step explanation:
Volume is just length x width x height
so the width is 2 units and the height is 2 units and the length is 6 units: 2 x 2 = 4
4 x 6 = 24 units cubed
One unit cube = 1 by 1 by 1.
In the long picture, we have 2 by 2 by 6.
Volume = 2 x 2 x 6
Volume = 4 x 6
Volume = 24 units^3
Consider the quadratic function shown in the table below. x y 0 0 1 3 2 12 3 27 Which exponential function grows at a faster rate than the quadratic function for 0
Answer:
Graph D last graph
Step-by-step explanation:
PLEASE HELP ME
3x - 8y = 29
3x + y = -2
Question 4 options:
(0.5, -3.5)
(0, -2)
(0.75, -2.25)
(0, -3.75)
Answer:
Solution to pair of linear equations
Step-by-step explanation:
Subtract second equation from the first
[tex]3x-8y=29\\3x+ y=-2\\[/tex]
subtraction eqn 2 from 1 we get
[tex](3x-3x)+(-8y-y) = (29-(-2))\\-9y=31\\y=-\frac{31}{9} \\y= - 3.44[/tex]
In order to find the value of x we will put this value of y in anyof the above equation and solve it for x
[tex]3x-\frac{31}{9} = -2\\3x=-2+\frac{31}{9} \\3x=\frac{-18+31}{9} \\3x=\frac{13}{9} \\x=\frac{13}{9*3} \\x=\frac{13}{27} \\x=0.4814[/tex]
The Correct answer which is solution two the above linear pair of equations is
x=0.4814
y=-0.344
find f’(x).
1. f(x)=x^2-5x+1
2. f(x)=10/x
Answer:
1) 2x-5 2) -10/x^2
Step-by-step explanation:
Use power rule and constant rule for the first one:
1) f(x)=x^2-5x^1+1 (x^n)'=nx^(n-1) and (c)'=0
f'(x)=2x^1-5(1)x^0+0
f'(x)=2x-5(1) x^0=1
f'(x)=2x-5
Use just power rule for last one after a rewrite
2) f(x)=10/x
f(x)=10x^(-1) now use power rule
f'(x)=-10x^(-2) =-10/x^2
Brainliest!, write an algebraic expression to represent the verbal expression
the cube of the quotient of a number and 24
Answer:
(n/24)^3
Step-by-step explanation:
If "n" represents "a number," then "the quotient of a number and 24" means ...
(n/24)
The cube of that is ...
(n/24)^3
Please help me with this problem
For a system of linear equations to have a solution, it means that they would cross over at some point, thus if we are looking for a system of linear equations that do not have a solution (ie. they do not cross over), we are looking for two parallel lines.
Now for two lines to be parallel, they must have the same gradient. Thus, we must find the value of a for which both the equations have the same gradient. In order to do this, we should first write both equations in the form y = mx + c, where m is the gradient and c the y-intercept.
1) Equation 1:
(1/2)x - (2/3)y = 7
(3/4)x - y = 21/2 (Multiply both sides by 3/2)
(3/4)x = 21/2 + y (Add y to both sides)
(3/4)x - 21/2 = y (Subtract 21/2 from both sides)
Thus, the first equation may be written as y = (3/4)x - 21/2
2) Equation 2:
ax - 8y = -1
(a/8)x - y = -1/8 (Divide both sides by 8)
(a/8)x = -1/8 + y (Add y to both sides)
(a/8)x + 1/8 = y (Add 1/8 to both sides)
Thus, the second equation may be written as y = (a/8)x + 1/8
Now that we know the equations of the two lines, we can compare their gradients.
Equation 1: m = 3/4
Equation 2: m = a/8
Remember, for the two lines to be parallel, their gradients must be the same. Thus, we must equate the two gradients above to find the value of a:
3/4 = a/8
24/4 = a (Multiply both sides by 8)
6 = a
Therefor, if the system of linear equations has no solution, and a is a constant, the value of a is 6 (answer D).
Solve the following equation for . A. y = 3 B. y = 18 C. y = 6 D. y = 36
Your answer is D. y = 36
We can find this by just rearranging the equation firstly:
2 + √4y - 3 = 11
√4y - 1 = 11
√4y = 12
Now we can simplify √4y, because 4 2², so you get 2√y :
2√y = 12
√y = 6
We can now square both sides to get the equation as "y ="
y = 36
I hope this helps! Let me know if you have any questions :)
What is the area of the figure? The diagram is not drawn to scale.
A. 528 in^2
B. 1,056 in^2
C. 1184 in^2
D. 1,221 in^2
Answer: The answer is B.
Step-by-step explanation:
Area of parallelogram = B*H (base times height)
Here, the base is 32 inches and the height is 33 inches.
32*33=1,056in^2
Answer:b
Step-by-step explanation:
We multiply base and height
These tables represent a quadratic function with a vertex at (0, -1). What is the average rate of change for the interval from x = 9 to x = 10?
Answer:
A. -19
Step-by-step explanation:
There are lots of ways to get there. One of them is to realize that the average rate of change between two adjacent numbers is the negative of their sum. -(9+10) = -19.
__
Another is to extend the table:
6 to 7 : -13
7 to 8 : -15
8 10 9 : -17
9 to 10 : -19
__
Yet another is to write an equation for the function, and compute the average rate of change:
f(x) = -x^2 -1
average rate of change from 9 to 10 = (f(10) -f(9))/(10 -9) = (-101 -(-82))/(10 -9) = -19
Answer:
A. -19
Step-by-step explanation:
6. what is the parimeter of triangle ABC
8. What is the value of x
Answer:
Perimeter = 20 units
x = 120°
Step-by-step explanation:
We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.
We are to find the perimeter of triangle ABC and the value of x.
Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units
The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.
Two out of four angles are right angles and one is 60 so we can find the value of x.
x = 360 - (90 + 90 + 60) = 120°
Answer:
6. 20 8. 120
Step-by-step explanation:
add the side measurements up of the triangle:
2+5+2+3+3+5=7+5+8=20
That shape where the x is a quadrilateral so is't interior angles must add to 360 so you have 90+90+60+x=360
Solving: 230+x=360
So x=360-240=120
Michael has never taken a foreign language class, but is doing a story on them for the school newspaper. The school offers French and Spanish. Michael has a list of all 25 kids in the school enrolled in at least one foreign language class. He also knows that 18 kids are in the French class and 21 kids are in the Spanish class. If Michael chooses two kids at random off his list and interviews them, what is the probability that he will be able to write something about both the French and Spanish classes after he is finished with the interviews? Express your answer as a fraction in simplest form.
Answer:
112/125
Step-by-step explanation:
If we know all 25 are in at least one foreign language class then we can assume that exactly 4 of the 18 kids in French only take French to add up to 25 and this means that the 14 left take both classes. Now we can create three fractions for each case which are 7/25 (Spanish only) 4/25 (French only) and 14/25 (Both) and we can know say that if he goes down the route of getting a Spanish only as his first he needs one of the 18 other students the chances of this happening are 7/25 * 18/25 = 126/625 the same thing is done with the French only and we get 4/25 * 21/25 = 84/625 and then we have the possibility of just getting a student that does both which is 14/25 or 350/625. now we add them all together to get 560/625 which is simplified to 112/125.
Hope this helps please mark brainliest :)
Graph the solution to the following system of inequalities in the coordinate plane.
Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
The parabola opens: y=√x-4 (principal square root) up down right left
Answer:
right towards positive x axis
Step-by-step explanation:
In order to find the orientation of the parabolas we can follow following steps.
1. if in the equation x is squared , the parabola opens up. Also if its coefficient is negative it opens down.
2. If y is squared , the parabola opens right , and its coefficient is negative , it opens left
but before that we have to convert our function in standard form of the parabola. Our equation is
[tex]y=\sqrt{x-4}[/tex]
hence we square on both sides
[tex]y^2=x-4[/tex]
which is now into one of the standard form of a parabola. here y is squared and its coefficient is not negative hence it opens towards right.
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Answer:
Part 21) The distance from Football Field to the Park is [tex]10.95\ miles[/tex]
Part 22)
a) The value of a is [tex]20\ units[/tex]
b) The value of b is [tex]20.10\ units[/tex]
Step-by-step explanation:
Part 21)
Let
A -----> Football Field
B -----> Park
C -----> Home
D -----> Library
x -----> the distance from Football Field to the Park
In the right triangle ABD
[tex]cos(A)=10/x[/tex] -----> equation A
In the right triangle ABC
[tex]cos(A)=x/12[/tex] ----> equation B
equate equation A and equation B
[tex]10/x=x/12[/tex]
solve for x
[tex]x^{2}=120\\ \\x=10.95\ miles[/tex]
Part 22)
see the attached figure with letter to better understand the problem
step 1
Find the value of a
In the right triangle ABD
[tex]tan(ABD)=a/200[/tex] ----> equation A
In the right triangle ADC
[tex]tan(DAC)=2/a[/tex] ----> equation B
remember that angle ABD is congruent with angle DAC
therefore
equate equation A and equation B
[tex]a/200=2/a[/tex]
solve for a
[tex]a^{2}=400\\ \\a=20\ units[/tex]
step 2
Find the value of b
In the right triangle ADC
Applying the Pythagoras Theorem
[tex]b^{2}=a^{2}+2^{2}[/tex]
substitute the value of a
[tex]b^{2}=20^{2}+2^{2}[/tex]
[tex]b^{2}=404[/tex]
[tex]b=20.10\ units[/tex]
Colin and Brian scored 59. Brian scored 59 more points than Colin ,so what are Colin and brain scored combine together ? Colin scored 62 points
Answer:
59
Step-by-step explanation:
Let c and b represent the scores of Colin and Brian respectively. Then
c + b = 59. Since brian scored 59 more points than Colin, that means c = 0 and b = 59. Their combined score is 0 + 59 = 59.
There are 7 people on a cycling team. Their coach mush pick two of them to be Co - Captain. How many different pairs can the couch choose?
Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, Blake can paint one room in 9 hours. Ned can paint the same room in 6 hours. How long will it take them to paint the room if they work together? (SHOW WORK)
Answer: 3.6 hours
Step-by-step explanation:
Given : The time taken by Blake to paint the room : [tex]t_1=9\text{ hours}[/tex]
The time taken by Ned to paint the room : [tex]t_2=6\text{ hours}[/tex]
Then , the time taken (T) by both of them to paint the room if they work together is given by :-
[tex]\dfrac{1}{T}=\dfrac{1}{t_1}+\dfrac{1}{t_2}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{9}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{T}=\dfrac{5}{18}\\\\\Rightarrow\ T=\dfrac{18}{5}=3.6\text{ hours}[/tex]
Hence, it will take 3.6 hours to the two companies if they working together .
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2. Obi spent ?20 that day. Obi now had ?8 less than Rudy. How much did they have initially altogether?
Answer:
Altogether, they had ?28
Step-by-step explanation:
Had Obi spent only ?12, they would have been even. Thus ?12 is the same as 5-2 = 3 "ratio units". So, each "ratio unit" is worth ?12/3 = ?4.
Then Obi started the day with 5·4 = 20, and Obi started the day with 2·4 = 8. Obi ended with 0, which is 8 less than Rudy.
Altogether, they started with 20 + 8 = 28 of whatever a ? is.
Answer:
Money they have initially altogether = 28
Step-by-step explanation:
The ratio of money in Obi's wallet to Rudy's wallet one day was 5:2.
Money Obi has = 5 r
Money Rudy has = 2 r
Obi spent 20 that day and bi now had 8 less than Rudy
5r -20 = 2r - 8
3r = 12
r = 4
Initial money they have
Obi = 5r = 5 x 4 = 20
Rudy = 2 x 4 = 8
Altogether they have 20+8 = 28
Money they have initially altogether = 28
Solve the formula I = Prt, in general, to find the principal, P.
By substitution of formula, the expression of principle P is P = I/(r*t) .
What is substitution of formula ?Substitution of formula is a method to find any parameter from the given expression by substituting the required value from the expression or equation mentioned.
Given expression is I = Prt .
Substituting the parameter of principle(P) from the above expression -
P = I/(r * t)
Thus, by substitution of formula, the expression of principle P is P = I/(r*t) .
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after undergoing a displacement of 18.4m, an object has a final position of 53.5.what was its initial position (unit=m)
Answer:
The initial position was 35.1 m
Step-by-step explanation:
Let
x -----> the initial position
we know that
The linear equation that represent this problem is equal to
x+18.4=53.5
Solve for x
Subtract 18.4 both sides
x=53.5-18.4
x=35.1 m
Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?
Answer:
12 in
Step-by-step explanation:
the arc length formula is s = rФ, where Ф is the central angle in radians.
Here, the arc length is s = (4 in)(3 radians) = 12 in
Answer:
D on edge
Step-by-step explanation:
Determine the ordered pair numbers for each letter.
Point Ordered Pair
A __________
B ___________
C __________
D __________
E ___________
Answer:
A. (1,2)
B. (3,1)
C.(4,4)
D. (6,6)
E. (8,4)
Step-by-step explanation:
Answer:
Answer:
A. (1,2)
B. (3,1)
C.(4,4)
D. (6,6)
E. (8,4)
Step-by-step explanation:
En una comunidad se intercambian productos alimenticios A, B, C y D con la modalidad del trueque, utilizando un mismo recipiente llamado a "medida" para cada producto. Si una medida de A más una de C se cambia por 5 medidas de B; una medida de A más una de B se cambia por una de C; y una medida de B más una de C se cambia por una de D, ?Cuántas medidas de B se cambian por una de D?
Answer: se necesitan 4 medidas de B para obtener una de D
Step-by-step explanation:
Las medidas serán entendidas como unidades de.. (A , B o C)
Entonces, de esta manera
1A + 1C = 5B
1A + 1B = 1 C
1B + 1C = 1D
Para lograr el cometido debo combinar las 3 relaciones de cambio de tal manera que se cancelen totalmente las partes A y C utilizando los multiplicadores adecuados
Entonces,
Uso 5 unidades de B para conseguir una de A y una de C
5B = 1A + 1C
Con esa A y otra de B obtengo otra C
1A + 1B = 1C
Por último con esas dos unidades de C y dos unidades mas de B consigo 2 de D
2B+ 2C = 2D
En total utilicé 5 + 1 + 2 = 8 unidades de B para obtener 2 de D
Entonces para obtener una de D necesitaría 4 unidades de B
Need help with a math question
ANSWER
P'(2,7)
EXPLANATION
When we reflect a point in the y-axis, we negate the x-coordinates.
The rule for reflection across the y-axis is
[tex](x,y)\to (-x,y)[/tex]
The given point, P has coordinates (-2,7)
To obtain the coordinates of the image P', we negate the x-coordinate of P(-2,7).
[tex]P( - 2,7) \to \: P'( - - 2,7)[/tex]
[tex]P( - 2,7) \to \: P'(2,7).[/tex]
Answer:
(2, 7)
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (- x, y)
Hence
P(- 2. 7) → P'(2, 7)
One side of a triangle is 2 feet shorter than the second side. The third side is 4 feet shorter than the second side. The perimeter of a triangle is 15 feet. Find the length of each side.
The length of first side is 5 feet, the length of second side is 7 feet, the length of third side is 3 feet.
What is perimeter?The perimeter is the sum of measurement of all sides of a triangle. It is done by a ruler.
How to calculate perimeter?let the second side be x
according to question first side will be (x-2) feet and the third side will be (x-4) feet.
We know that the perimeter is equal to the sum of all sides of a triangle.
so
x+x-2+x-4=15
3x=6=15
3x=21
x=7
The length of first side=7-2=5 feet
The length of second side=7 feet
The length of third side=3 feet
Hence the sides of the triangle is 5 feet, 7 feet, and 3 feet.
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What equation can be written from this sequence -50,-33,-16,1
Answer: [tex]a_n=-50+(n-1)17[/tex]
Step-by-step explanation:
The Arithmetic Sequence Formula is:
[tex]a_n=a_1+(n-1)d[/tex]
Where:
[tex]a_n[/tex] is the [tex]n^{th}[/tex] term of the sequence.
[tex]a_1[/tex] {a_1} is the first term of the sequence.
[tex]n[/tex] is the term position.
[tex]d[/tex] is the common difference of any pair of consecutive numbers.
We can observe that the first term is:
[tex]a_1=-50[/tex]
Now, we need to find "d". This is:
[tex]d=-16-(-33)\\d=-16+33\\d=17[/tex]
Then, substituting, we get the following equation:
[tex]a_n=-50+(n-1)17[/tex]
what is the illustrated property of the statement
if 5n=15,then 15=5n ?
BRAINLIEST
This would be the symmetric property!
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The property illustrated here is symmetric property .
Explanation:
Symmetric Property of Equality. The following property: If if a = b then b = a. This is one of the equivalence properties of equality. See also. Reflexive property of equality, transitive property of equality, transitive property of inequalities.
Find the area of the kite
For this case we have that the area of the kite is given by the area of two triangles, the triangles share the same base of 3 + 3 = 6 meters and one has height of 2m and the other height of 4m.
So, the total area is given by:
[tex]A = \frac {1} {2} * 6 * 2 + \frac {1} {2} * 6 * 4\\A = \frac {1} {2} 12+ \frac {1} {2} *24\\A = 6 + 12\\A = 18[/tex]
Thus, the area of the kite is [tex]18m ^ 2[/tex]
ANswer:
[tex]18m ^ 2[/tex]
The table shows values for the functions f(x) and g(x). What are the solutions of X where f(x) = g(x)?
Step-by-step explanation:
You need to look for where f(x) and g(x) have the same value. That's at x=0 and x=2.
Answer: If you want to see in what value of x there is true that f(x) = g(x), you need to see in the table when f(x) and g(x) has the same value, this is lock in in table when the second and third values are the same.
This is true for x = 2, where f(2) = 0 and g(0) = 2, and for x = 0, wher f(0) = -3 and g(0) = -3.
How many real and imaginary solutions does the equation X^2+x=11 contains?
Answer:
Two
Step-by-step explanation:
x² + x = 11
The degree of a polynomial will always tell us the maximum number of solutions
You have a second degree polynomial, so there are two possible solutions.
They are
[tex]x = \dfrac{1}{2} \left (-1 - 3\sqrt{5} \right )[/tex]
and
[tex]x = \dfrac{1}{2} \left (-1 + 3\sqrt{5} \right )[/tex]
The diagram below shows that the zeros are at (-3.854,0) and (2,854, 0), which are the decimal equivalents of the roots.