The circle graph shows the preferences of town residents for the new playground equipment in a park

If 240 residents responded to the survey, how many residents preferred each type of playground equipment


Swings:

residents

Sandbox: residents



Obstacle course: residents

Answer: 12.57

Step-by-step explanation:

Answer:

The correct answer is Option 3: 12y

Step-by-step explanation:

A polynomial term is usually made of a variable and a co-efficient.

Like terms are those terms that have the same variables i.e. x and 44x are like terms.

Given expression is:

[tex]6y-2y+8y[/tex]

All the terms have only y which means that all three terms are alike.

The coefficients of like terms are added or subtracted according to their sign.

[tex]6y-2y+8y[/tex] = 12y

Hence,

The correct answer is Option 3: 12y

The equation –2 = –2 is always true, so no value of x will make the equation true. The correct solution of the equation is that there is no solution.

In mathematics, an equation is a statement that shows the equality between two expressions. It contains an equals sign (=) that separates the two expressions. The expressions on both sides of the equals sign can be numbers, variables, or functions. The equation represents a relationship between the expressions that must hold true for all values of the variables involved. Solving an equation means finding the values of the variables that satisfy the equation. Equations are used in various fields, such as physics, engineering, economics, and many others, to model and solve real-world problems.

Here,

The error made by the student is assuming that -2 is the solution to the equation without actually solving it. The equation -2 = -2 is always true, which means that the equation is an identity and has no solution. So, the correct solution of the equation is that there is no solution.

To know more about equation,

https://brainly.com/question/2228446

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Answer:

It is a non -proportional equation

Answer: 3

Distribute

Subtract the numbers

Simplify

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

Answer:

please refer to the above attachment.

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Required

Determine the value of x

The diagonals of a rectangle are equal.

So:

[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]

[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]

[tex]3x + 3 = 7x -25[/tex]

Collect Like terms

[tex]3x-7x=-25-3[/tex]

[tex]-4x=-28[/tex]

[tex]x = \frac{-28}{-4}[/tex]

[tex]x = 7[/tex]

Answer:

6.5

Step-by-step explanation:

Answer:

y≈15840

Step-by-step explanation:

Exponential Functions:

a=starting value = 14000

r=rate = 2.5%=0.025

Exponential Growth:

b=1+r=1+0.025=1.025

Write Exponential Function:

put it all together-

y=14000(1.025)^x

Plug in time for x:

y=14000(1.025)  ^5

Evaluate-

y=15839.71498

round-

y≈15840

Answer:

16

Step-by-step explanation:

You plug in the value of y into the expression:

5(2) + 3(2)

10 + 6 = 16

Answer:

08:00

Step-by-step explanation:

Answer:

8:00

Step-by-step explanation:

12/midnight would be 00:00 so 8am would be 8:00. if it were 8pm it would be 20:00

Answer:

[tex]\boxed {\boxed {\sf 8 \ cups \ of \ raisins }}[/tex]

Step-by-step explanation

Let's create a proportion using this setup.

[tex]\frac{raisins}{almonds} =\frac{raisins}{almonds}[/tex]

We know that 2 cups of raisins are needed for 3 cups of almonds.

[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{raisins}{almonds}[/tex]

We don't know how many cups of raisins are needed for 12 cups of almonds. Therefore, x cups of raisins are needed for 12 cups of almonds.

[tex]\frac{2 \ cups \ raisins}{3 \ cups \ almonds} =\frac{x \ cups \ raisins}{12 \ cups \ almonds}[/tex]

[tex]\frac{2 }{3} =\frac{x }{12 }[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 12. The inverse operation of division is multiplication. Multiply both sides of the proportion by 12.

[tex]12*\frac{2 }{3} =\frac{x }{12 }*12[/tex]

[tex]12*\frac{2 }{3}=x[/tex]

[tex]8=x[/tex]

8 cups of raisins are required for 12 cups of almonds.

Answer:

-7

Step-by-step explanation:

Answer

368

Step-by-step explanation:

1840÷5=368

Answer:

170,

Step-by-step explanation:

my explanation is commented on the other persons answer

Answer:

10+0.60+0.03

Step-by-step explanation:

simple

Hey there!

Note; When you see the phrase “expanded form” think of the SUM (addition) formation of a given which writes as it is added with the given which makes it an single value when it is multiplied by the place value

Now that we have that note/fact out of the way we have answer your question!

Answer: 10 + 0 + 0.6 + 0.03 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Second option!!!

Step-by-step explanation:

Hope it helps you:)

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])

where x = values of the set.

For Pawnee:

[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

[tex]mean^{2}[/tex]  = [tex]4.25^{2}[/tex] = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

Answer:

On my screen the answer would be A

Step-by-step explanation:

but it could be different for u but I found the answer on Quizizz picture down below

The graph models this situation after the office worker receives x annual increases is to be considered as an option A.

Since

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%.

So, based on the given graph we can say that The graph models this situation after the office worker receives x annual increases is to be considered as an option A.

Learn more about graph here: https://brainly.com/question/24613103

Answer:

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷=  (x-y)⁷ (x³-y³)

Expand  (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

Read more about expressions at:

https://brainly.com/question/4344214

Answer:

29.75

Step-by-step explanation:

5% of 35 is 1.75 so 1.75 times 3 equals 5.25, 35 - 5.25 = 29.75

Answer:

$360

Step-by-step explanation:

I = Prt

I = 4000 * 3 * 3%

I = 12000 * 3% (Convert 9000 and 3% into fractions.)

I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)

I = 120/1 * 3/1 (Disregard the over 1 portion.)

I = 120 * 3 (Multiply 120 by 3 to get 360.)

I = $360

Answer:

The answer is (19,12)

The solution of the system is (-2,2)

Step-by-step explanation:

a solution is a system of equations intersecting.

on the graph you can see that the lines intersect at (-2,2)

Answer:

B. 21.2 units

Step-by-step explanation:

10.6 x 2 = 21.2

Answer:

c...........................

First you'll have to bring the equation in form y = mx + b.

4y = -x - 32

y = -1/4 x - 8

So the slope is -1/4 and y-intercept is -8

Hope this helps :)

Questions you may have-

How did you change it to y = mx + b form?

Divide 4 on both sides to isolate the y

Answer:

slope: 1/4

y-intercept: (0,8)