Sanjay needs 90 meters of fence to go around a rectangular garden.
The length l of the garden is three times its width w.
Three of these equations give the correct value for w.
Which equation does NOT?
Answers
Answer:
Option A is incorrect.
Step-by-step explanation:
Length of the given parts is l and width is w meters.
It is given in the question that Sanjay needs 90 meters of fence to go around the rectangular park.
It means perimeter of the park is 90 meters.
Since perimeter of a rectangle = 2(length + width)
= 2(L + w)
It is given that length of garden is three times of width so l = 300
therefore, equation will be
Perimeter = 2[3w + w]
90 = 2[3w + w]
Option A ⇒ w + 3w = 90 ⇒ incorrect
Option B ⇒ w + 3w + w + 3w = 90
2(w + 3w) = 90 ⇒ Correct option
Option C ⇒ 2w + 2 (3w) = 90
2 [w + 3w] = 90 ⇒ Correct option
Option D ⇒ 2(3w + w) = 90 ⇒ Correct option
therefore Option A is incorrect option.
Answer:
w+3w+w+3w=90
Step-by-step explanation:
correct
Related Questions
Find the value of x.
Answer options: 82, 88, 76, 94
Answers
Answer:
x = 76°
Step-by-step explanation:
We can solve this by using the angles of intersecting chords theorem. This tells us that when two chords intersect inside a circle, the angle formed is half of the sum of the intercepted arcs of the angle.
This implies that the angle 94° should be half of the sum of Arc measuring x° and the arc measuring 112°. So we can write the equation as:
[tex]94=\frac{1}{2}(x+112)\\[/tex]
We can simplify and solve for x:
[tex]94=\frac{1}{2}(x+112)\\\\94=\frac{1}{2}x+56\\94-56=\frac{1}{2}x\\38=\frac{1}{2}x\\x=38*2=76[/tex]
Hence, x = 76°
Which of the following best describes the equation below?
A. both a relation and a function
B. relation only
C. neither a relation nor a function
D. function only
Answers
Answer: OPTION A
Step-by-step explanation:
A relation is a function if for each value of x (input value) there is an unique value of y (output value).
For the equation given in the problem:
[tex]y=|x|+6[/tex]
There is an unique value of y for each value of x.
Therefore, the equation is a function and a function is also a relation.
Then, the answer is the option A
Answer:
A
Step-by-step explanation:
13........................
Answers
Answer:
C.
Step-by-step explanation:
Answer:
Choice c is the answer.
Step-by-step explanation:
We have given a expression.
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]
We have to find the rationalized form of above expression.
Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5} } \frac{\sqrt{x}-\sqrt{5} }{\sqrt{x}-\sqrt{5} }[/tex]
[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]
[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]
[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.
what is the area of this parallelogram?
Answers
Answer:
30.6
Step-by-step explanation:
Area of Parallelogram = base x altitude
base = 6.8
altitude = 4.5
6.8 x 4.5 = 30.6
SOLVE FAST!! WORK NOT NEEDED! (3x+1)^2=(2x−5)^2
Answers
Answer: [tex]x = \frac{4}{5} , x = -6[/tex]
* Hopefully this helps:) Mark me the brainliest:)!!
me ayudan en esto? es de matemáticas año 1 de completen factors
Answers
Answer:
(3p-2)(2p+3).
determine if the given point is a solution of the given system of linear equations y=3× + 6 y= -2× + 9 (3,3)
Answers
Answer:
The point (3, 3) is not a solution of the first equation, therefore is not a solution of the given system of equations.
Step-by-step explanation:
[tex]y=3x+6\ and\ y=-2x+9[/tex]
[tex](3,\ 3)\to\text{put x = 3 and y = 3 to the equations of the functions}\\\text{and check the equality.}\\\\y=3x+6\\\\3=3(3)+6\\3=9+6\\3=15\qquad\text{FALSE!}[/tex]
To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true. If both equations are true, then the given point is a solution of the system of equations.
Explanation:To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true.
Substitute x = 3 and y = 3 into the first equation: 3 = 3(3) + 6. Substitute x = 3 and y = 3 into the second equation: 3 = -2(3) + 9. If both equations are true, then the given point (3,3) is a solution of the system of equations.
Let's perform the calculations:
3 = 3(3) + 6 simplifies to 3 = 9 + 6, which is false. 3 = -2(3) + 9 simplifies to 3 = -6 + 9, which is true.
Since only one of the equations is true, the given point (3,3) is not a solution of the system of equations.
Learn more about Solving Systems of Linear Equationshttps://brainly.com/question/12360902
#SPJ2
Which expression is equivalent to (256x16)1/4
Answers
Answer:
[tex]4x^{4}[/tex]
Step-by-step explanation:
Given in the question an expression,
[tex](256x^{16})^\frac{1}{4}[/tex]
As we know that,
[tex]x^{\frac{1}{4} }= \sqrt[4]{x}[/tex]
so
[tex]\sqrt[4]{256x^{16} }[/tex]
it could also be written as
[tex]\sqrt{\sqrt{256x^{16} } }[/tex]
First to solve inner square root
[tex]\sqrt{256x^{16} } = 16x^{16/2}[/tex]
[tex]\sqrt{16x^{8} }[/tex]
Second outer square root
[tex]\sqrt{16x^{8}}=4x^{8/2}[/tex]=[tex]4x^{4}[/tex]
The price of gas was $1.80 in September then $2.07 in October. Find the percent change from September to October.
Answers
twenty seven percent.
The percent change in the price of gasoline from September to October is calculated using the formula for percent change. Subtracting the September price from the October price and dividing by the September price yields a 15% increase.
To calculate the percent change in the price of gasoline from September to October, we use the formula for percent change, which is
(New Price - Old Price) / Old Price
x 100%. In this case, the price in September was $1.80, and the price in October was $2.07.
The percent change can be calculated as follows:
Subtract the old price from the new price: $2.07 - $1.80 = $0.27.Divide the change by the original price: $0.27 / $1.80.Convert this number to a percentage by multiplying by 100, which gives us the percent change: ($0.27 / $1.80)x 100%
= 15%.
Therefore, the percent change in the price of gasoline from September to October is 15%.
Factor the GCF:
-4y^2 + 12y - 16
A.) -1(4y^2-12y+16)
B.) -4y(y^2-3y+4)
C.) -(y^2-3y+4)
D.) -4(y^2+3y-4)
Answers
The expression for when the GCF is factored is -4(y² - 3y + 4). Option D
To factor out the Greatest Common Factor (GCF) from the expression [tex]-4y^2 + 12y - 16[/tex] first, find the GCF of the terms.
The GCF of the coefficients 4, 12, and 16 is 4.
Additionally, there is a common factor of y² in all terms.
Now, we have to actor out the GCF, which is -4, we get;
-4(y² - 3y + 4)
Therefore, the expression -4(y² - 3y + 4) represents the factor GCF from the original expression
If a triangle has side lengths 14,48, and 50 units what type of triangle is it an acute an obtuse a right or no solution.
Answers
Answer:
No solution
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
In this problem
[tex]48+50>14[/tex]
[tex]98>14[/tex] -----> is not true
therefore
You can't build a triangle with those dimensions
-4x is less than or equal to 32
Answers
Answer:
x ≤ -8
Step-by-step explanation:
-4x ≤ 32 => -4x ÷ -4 ≤ 32 ÷ -4 => x ≤ -8
Step-by-step explanation:
-4x≤32
Isolate the variable by dividing by -4 on both sides, to cancel out the coefficient of x
32÷-4=-8
x=-8
Which shows two expressions that are equivalent to (-8)(-12)(2)
Answers
(-8)(-12)(2) = -8 • -12 • 2
192 //It's positive because - - = +.
Answer: 192
//Hope it helps.
Answer with explanation:
Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.
We have to find that expression which is equivalent to:
(-8)×(-12)×(2)
Integers follows Associative Property, that is for any three Integers
→→ a × (b×c)=(a×b)×c=(a×c)×b
So, equivalent expression of →→ (-8)×(-12)×(2)
1.→ [(-8)× (-12)]× (2)
2.→[(-8)×(2)]×(-12)
3.→[(2)×(-12)]×(-8)
4.→ 192
What is the solution to the following system of equations?
Answers
Answer:
D. (2,1)
Step-by-step explanation:
Fill in the value for y from the first eq (6x-11) into the second:
-2x - 3(6x-11) = -7
Now simplify:
-2x -18x + 33 = -7
-20x = -7-33
20x = 40
x = 2
Now that we have x, plug it into the top eq to get y:
y = 6*2 - 11 = 1
Et voila, x=2 and y=1, so the solution is (2,1).
Answer:
X= 2 and Y=1
Step-by-step explanation:
✯Hello✯
↪ So you know what y is so you can substitute into -2x-3y=-7
↪ -20x+33=-7 (thats after you expand the brackets)
↪ -20x=40
↪ this means that x=2. Therefore if u substitute y=1 and its on the options
❤Gianna❤
Which expression is equivalent to
Answers
➷ 5 is multiplied by itself giving this value:
[tex]5^{6}[/tex]
However, the 3 isn't involved with the exponents so the answer would be:
[tex]3(5)^{6}[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
C) 3(5)^6
Step-by-step explanation:
Note the amount of 5's inside the expression and 3's inside the expression.
In the given expression (3 x 5 x 5 x 5 x 5 x 5 x 5), there are 6 5's and 1 3's.
Note that, when changing multiplication into powers, the amount of the same number multiplied together will equal the number you put as a power. For example:
5 x 5 = 5²
5 x 5 x 5 = 5³
In this case:
5 x 5 x 5 x 5 x 5 x 5 = 5^6
Note that there is still a 3 multiplied inside the expression, and so remember to keep it in the answer.
3(5)^6, or C) is your answer.
~
Solve for x 5 - x/3 =-15
Answers
Answer: 60
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5−
x
3
=−15
5+
−1
3
x=−15
−1
3
x+5=−15
Step 2: Subtract 5 from both sides.
−1
3
x+5−5=−15−5
−1
3
x=−20
Step 3: Multiply both sides by 3/(-1).
(
3
−1
)*(
−1
3
x)=(
3
−1
)*(−20)
x=60
Answer:
hey buddy theres no 60 in any of the choices.
Step-by-step explanation:
Which equation represents the graph
Answers
Answer:
y= 3|x|+5
Step-by-step explanation:
Remember the graph for |x| is shown on the attached picture
Since the picture you show tell us that y=5 when x=0
we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point
we can use the equation for slopes using points 1 (0,5) and 2 (1,8)
thus we have that [tex]a=\frac{8-5}{1-0}=3[/tex]
So the answer is y= 3|x|+5
What are the real zeroes
Answers
You have to plug the values in the expression and see if it returns zero.
The only points where the function evaluates to zero are [tex] x=\pm 3[/tex] and [tex]x=6[/tex]
B. -3,3,-6
EXPLANATION
We equate the given polynomial to zero.
[tex] {x}^{3} + 6 {x}^{2} - 9x - 54 = 0[/tex]
Factor by grouping;
[tex] {x}^{2} (x + 6) - 9(x + 6) = 0[/tex]
Factor further;
[tex]( {x}^{2} - 9)(x + 6) = 0[/tex]
Either
[tex] {x}^{2} - 9 = 0 \: or \: x + 6 = 0[/tex]
[tex] {x}^{2} = 9 \: or \: x = - 6[/tex]
[tex]x = \pm \sqrt{9} \: or \: x = - 6[/tex]
[tex]x = \pm 3 \: or \: x = - 6[/tex]
The zeroes are
x=3,-3,-6
Do you know the answer ??
Answers
Answer: The answer is 6
One month jenny rented 3 movies and 5 video games for a total of $40. The next month she rented 12 movies and 2 video games for a total of $43. Find the rental cost for each movie and each video game.
Answers
movies is 2.59 and videos is 5.944
//Hope this helps
The correct answer is $6.50 for each video game and $2.50 for each movie. My work:
3 x 2.50 = $7.50 and 5 x 6.50 = $32.50
32.50 + 7.50 = $40.00
12 x 2.50 = $30.00 and 2 x 6.50 = $13.00
30.00 + 13.00 = $43.00
Hope this helps.
Does this table show a proportional relationship? If so, what is the constant of proportionality?
x| 3 6 9 12
-------------------------------
y| 12 24 45 60
Answers
Answer:
4
Step-by-step explanation:
You can divide all the x from the y like , 45/9 =4 so it equals four
Yes, the table does show a proportional relationship and the constant of proportionality is 4.
What is proportionality?If the corresponding elements of two sequences of numbers have a constant ratio,
Known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
We know constant of proportionality is when we have the same multiplicative or division factor between two variables.
Given, when x = 3, y = 12, So y = 4x.
Again when x = 6 , y = 24, so, y = 4x and from observation we can conclude that y is 4 times of x or y = 4x.
∴ The constant of proportionality is 4.
learn more about proportionality here :
https://brainly.com/question/8598338
#SPJ5
How much water must be evaporated from 36 ounces of a 8% salt solution to make a 9% salt solution?
To obtain a solution that is 9% salt, how many ounces of water must be evaporated
(Simplify your answer.)
Answers
Answer:
4 oz of water must be evaporated
Step-by-step explanation:
If we let x represent the amount of water to be evaporated, the relation between the solutions is ...
0.08 · 36 oz = 0.09 · (36 -x) oz
0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36
x = 36· 0.01/0.09 = 36/9 = 4
4 ounces of water must be evaporated.
Answer:
Step-by-step explanation:
If f(x) = x/2 + 8, what is f(x) when x = 10?i
Answers
Answer: f(x) = 13
Step-by-step explanation:
When x = 10
f(10) = 10/2 + 8
= 5+8
= 13
Hope this helps!
Answer:
13
Step-by-step explanation:
To evaluate substitute x = 10 into f(x), that is
f(10) = [tex]\frac{10}{2}[/tex] + 8 = 5 + 8 = 13
what is the constant of proportionality for the relationship between the length of the arc intercepted by 80 angle and the radius of the circle ?
Answers
Eight hundred thousands
Final answer:
The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.
Explanation:
The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.
This can be determined by using the formula for arc length: L = 2πr(A/360), where L is the length of the arc, r is the radius of the circle, and A is the angle in degrees. Since we know that A = 80 degrees, we can substitute the values into the formula to find the constant of proportionality.
L = 2πr(80/360) = (π/9)r
solve the equation
-84= 6(p-8)
Answers
Answer:
-6
Step-by-step explanation:
-84=6(p-8)
-84=6p-48
+48 +48
-36=6p
-36/6=6p/6
-6
Hope this helps
Please mark me as Brainliest
p= -6
Step by step explanation:
Step 1: Simplify both sides of the equation.
-84=6(p-8)
-84=(6)(p) + (6)(-8) (Distribute)
-84=6p+ -48
-84=6p-48
Step 2: Flip the equation.
6p-48=-84
Step 3: Add 48 to both sides.
6p-48+48=-84+48
6p=-36
Step 4: Divide both sides by 6.
6p/6 = -36/6
P=-6
Jfhfnbxnzbxhdbd mathhhhhhhhhhh
Answers
Taylan should make 2 marks above the 3 1/4 in the line plot.
The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume? 500 cm 3 250 cm 3 200 cm 3 150 cm
Answers
Answer:
[tex]V=250\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the length of the base L
we know that
The surface area of a rectangular prism is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
substitute
[tex]SA=2(LW)+2(L+W)H[/tex]
we have
[tex]W=5\ cm[/tex]
[tex]H=10\ cm[/tex]
[tex]SA=250\ cm^{2}[/tex]
substitute in the formula and solve for L
[tex]250=2(5L)+2(L+5)10[/tex]
[tex]250=10L+20L+100[/tex]
[tex]30L=250-100[/tex]
[tex]L=5\ cm[/tex]
step 2
Find the volume of the rectangular prism
The volume is equal to
[tex]V=(LW)H[/tex]
we have
[tex]W=5\ cm[/tex]
[tex]L=5\ cm[/tex]
[tex]H=10\ cm[/tex]
substitute
[tex]V=(5*5)*10=250\ cm^{3}[/tex]
Answer:
250 CM3.
Step-by-step explanation:
A camera manufacturer spends $1,800 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $18 each.
a. How many cameras must the company sell in one day to equal its daily costs?
b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Answers
Answer:
A: they need to sell 100 cameras
B: $2,700
Step-by-step explanation:
Sean has 4 cookies. He wants to divide the cookies among his friends so that each friend gets of a cookie. How many friends can he give of a cookie?
Answers
The answer is 6
Trust me!
It's not four nor 8 is 6
The 4 cookies can be divided into 6 pairs of cookie pieces:
4 divided by 2/3 = 6
simplify (-5xsquared-3x-7)+(-2x to the 3rd +6x squared-8)
Answers
Answer:
[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x-8)=-2x^3-5x^2+3x-15}[/tex]
Step-by-step explanation:
[tex](-5x^2-3x-7)+(-2x^3+6x-8)\\\\=-5x^2-3x-7-2x^3+6x-8\qquad\text{combine like terms}\\\\=-2x^3-5x^2+(-3x+6x)+(-7-8)\\\\=-2x^3-5x^2+3x-15[/tex]