You work in a nursery with
20 children aged 3 - 5 years.
Your current room size is
415m² and does not meet
floor space requirements.
The room needs to increase
in size by 11%.
How big should the room
be?

Answers

Answer 1

Answer:

The room should be 460.65 [tex]m^{2}[/tex].

Step-by-step explanation:

First, you have to convert the percentage to a fraction.

11% = 0.11

Then add one to that number.

0.11 + 1 = 1.11

Multiply the number with the original room size.

415 * 1.11 = 460.65 ([tex]m^{2}[/tex])


Related Questions

please help reflictions

Answers

Answer:

A would be reflected on the y-axis first then translated up 6 units

Step-by-step explanation:

Please solve this and show ALL work. PLEASE I'M SO CONFUSED I WILL GIVE YOU A LOT OF POINTS AND MARK BRAINIEST ANSWER!

Answers

hi

budget is  170

we have  20 players and all of them need a package at  7.5 each.

So for 20 players  total amount spend is  :   20*7.5 = 150

there is  3.99 shipping cost

total spendings :   150 + 3.99 = 153.99

AS budget is  170 , so remais  :  170 - 153.99 = 16.01  

Kevin takes 1500 steps to walk d meters from his home to the station. Each step is 90 centimeters correct to the nearest 10cm.

Find the lower and the upper bound for d

Answers

Distance of upper bond and lower bond is 120,000 and 150,000 centimeter

How to find Lower bound and Upper Bound?

Given:

Number of steps walk = 1500 steps

Each step count = 90 centimeters

Correction in each step = 10 cm nearest

Find:

Lower bound and upper bound for d

Computation:

Lower bound step length = 90 - 10

Lower bound step length = 80 centimeters

Upper bound step length = 90 + 10

Upper bound step length = 100 centimeters

Lower bound d = 1500 × 80

Lower bound d = 120,000 centimeters

Upper bound d = 1500 × 100

Upper bound d = 150,000 centimeters

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Math

The product of 84.12 and which number will have three decimal places?

Answers

The product of 84.12 and 19.3 will have three decimal places.

Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.

Let us look at each option one by one,

1. 4.22

4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

2. 10.51

Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

3. 14.163

14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.

3. 19.3

19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.

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Your question was incomplete. Check for full content below-

The product of 84.12 and which number will have three decimal places? 4.22

10.51

14.163

19.3

A store had apples on sale for ​$1.10 a pound. Mike spent ​$5.94 on apples. How many pounds did ​buy?

Answers

Answer:

5.4 lbs

Step-by-step explanation:

5.94 / 1.10 = 5.4

hope this helps! <3

DES
Question: 2/20
Find the next number in the sequence: 1, 1, 2, -1, 1, -2, -1,

Answers

Eigenvalues are the special set of scalar values that is associated with the set of linear equations most probably in the matrix equations. The eigenvectors are also termed as characteristic roots. It is a non-zero vector that can be changed at most by its scalar factor after the application of linear transformations.

0 Eigenvalue

3 Eigenvalue

The y values of any nxn matrix A that adhere to the following criteria are considered to be its eigenvalues.

When I is the order n identity matrix, det(A - yI) = 0.

In this case, A = [1 2; 1 2], I = [1 0; 0 1], and yI = [y 0; 0 y]. I've added a new line in this notation with ;.

A - yI = [1-y 2; 1 2-y]

det(A - yI) = 1 - y* In other words, - 2 = = 2 - y - 2y + y2 - 2 = 0 = y2 - 3y = 0 = y(y-3) = 0.

y = 0 or y - 3 = 0

y = 3

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Get a similar question You can retry this question below
In your investment portfolio, 25% of your stocks are in Company A with a return rate of 6%, 40% of
your stocks are in Company B with a return rate of 2.5%, and the rest of your stocks are in Company
C with a return rate of 2%. Use a weighted mean to find your average return rate.
Average return rate=

Answers

The Average return rate for the investment will be 3.2%.

The Return Rate can be defined as a profit that is made on investment .

In the Question

let the investment be "x" .

25% stocks in Company A have return rate of 6%.

Investment in Company A = (25% of x)

Return is 6% of investment = (25% of x) + 6% of (25% of x)

Return from company A= (25% of x)(1+0.06)     ...as 25%=0.25 & 6%=0.06

                                        = 0.25*x*(1.06)     ...(i)

40% stocks in Company B have return rate of 2.5%.

Investment in Company B = (40% of x)

Return is 2.5% of investment = (40% of x) + 2.5% of (40% of x)

Return from company A = (40% of x)(1+0.025)         ...

                                        = 0.40*x*(1.025)     ...(ii)

Stocks in Company C = 100 - 25 - 40 = 35%

35% stocks in Company C have return rate of 2%.

Investment in Company C = (35% of x)

Return is 2.5% of investment = (35% of x) + 2% of (35% of x)

Return from company C = (35% of x)(1+0.02)         ...

                                        = 0.35*x*(1.02)     ...(iii)

Total Return = Return from Company A + Return from Company B + Return from Company C .

From equation (i) ,(ii) and (iii) we get

Total Return = 0.25*x*(1.06) + 0.40*x*(1.025) + 0.35*x*(1.02)

= 0.265x + 0.41x + 0.357x

= 1.032x

The Average rate of return  = [tex]\frac{return- investment }{investment } \times100[/tex]

Substituting the value we get,

= (1.032x - x ) / x  *100

= 0.032x /x  * 100

= 0.032*100

= 3.2%

Therefore , the Average return rate for the investment will be 3.2%.  

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the best graph to use for nominal or ordinal data is

Answers

Bar charts and pie charts are the best graphs to use for nominal or ordinal data.

What is defined as the Bar charts?

Bar graphs are graphical representations of data (usually grouped) in the form of horizontal or vertical rectangular bars, with the length of the bars proportional to the data measure.

They are also referred to as bar charts. In statistics, bar graphs are one method of data handling.The drawn bars are uniform in width, as well as the variable quantity is depicted on one of the axes. The variable's measure is also depicted on other axes. The heights or lengths of the bars represent the variable's value, and these graphs are also employed to compare different quantities.

Thus, for nominal and ordinal variables, bar charts or even pie charts are most commonly used.

Line charts as well as histograms are the most common ways to represent scale variables.

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Got it wrong hehe :)

Answers

6/1 - 33/7

6/1 = 42/7

42/7 - 33/7 = 9/7 = 1 2/7

What’s the correct answer answer asap

Answers

Answer:

The answer should be B.

What is p2 + 13 if p = −4?
29
17
−3
−21

Answers

The value of the expression p² + 13 will be A. 29.

How to compute the expression?

It should be noted that the expression given is that p² + 13 and we are told that p = -4.

Therefore, we have to put the value of p into the expression. This will be:

p² + 13

= (-4)² + 13

= 16 + 13.

= 29

The value is 29.

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what is the answer to 6 + 14 = 5x

Answers

Answer:

x=4

Step-by-step explanation:

6+14=5x

Add 6 and 14 which is equal to 20.

You will get 20=5x which you will then divide by 5 inorder to solve for x.

X=4

Pull out like factors :

5x - 20 = 5 • (x - 4)

Solve : 5 = 0

This equation has no solution.

A a non-zero constant never equals zero

Solve : x-4 = 0

Add 4 to both sides of the equation :

x = 4

What is the radius of a circle with a circumference of 64 feet?

Answers

10.19 feet is the radius of a circle with a circumference of 64 feet.

A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.

Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.

A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.

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A rectangular garden is to be constructed so that the width is 150 ft. What are the possible values for the length of the garden if
at most 1200 ft of fencing
is to be used?

Answers

The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

Given that A rectangle garden is to be constructed so that the width is 150 ft and atmost fencing can be used is 1200ft and asked to find the possible values of length of the rectangle garden.

It mean maximum value of perimeter = 1200ft

The minimum perimeter can be 2(150+151)=602ft as the length of rectangle must be greater than the bredth of rectangle

Therefore the minimum value of length of rectangle is 151 feet

The maximum perimeter is 1200ft

1200=2(150+length of rectangle)

Maximum value of the length of the rectangle=450ft

Therefore,The possible values of the length of the garden is 151 ft to 450 ft. The length of the rectangle garden can vary from 151 ft to 450 ft

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Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.

Part 1: Writing Expressions

Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.

Answers

Answer:

4(3j + 4 + j) the amount of money sarah can make is (3 Js plus 4 plus J) times 4

Step-by-step explanation:

Show that the equation x³ - 3x² + 3 = 0 can be rearranged to give x = √√3x² -3

Answers

x3-3x2+0 can be idono?

Using the alternate form of the definition of the derivative, Compute f'(c) for f(x) = x+4/x, c=4

Answers

The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.

What is the value of the derivative of a function?

In this problem we have the following rational equation, which is equivalent to the following sum of functions:

f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)

Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:

g(x):

g'(x) = [1 - 1] / h

g'(x) = 0 / h

g'(x) = 0

h(x):

h'(x) = [4 / (x + h) - 4 / x] / h

h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]

h'(x) = - 4 · h / [h · (x + h) · x]

h'(x) = - 4 /[(x + h) · x]

If h = 0, then:

h'(x) = - 4 / x²

Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:

f(4) = - 4 / 4²

f(4) = - 1 / 4

The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.

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A carry on bag costs $24 less than a suitcase. Janice bought 3 suitcases and 2 carry ons for $547. How much does one suitcase cost?

Answers

f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb

Let the gray suitcase be represented by g

Let the pink suitcase be represented by p

Let the blue suitcase be represented by b

The gray suitcase weighs 11 lb more than the pink suitcase

g    =   p   +   11........(1)

The pink suitcase weighs 5 lb than the blue suitcase.

p   =  b  +  5

b  =  p  -  5...........(2)

Total of 3 suitcases = 127 lb

p  +  b  +  g    =  127............(3)

Substitute equations (1) and (2) into equation (3)

p  +  p  - 5 + p  +  11   =  127

3p  +  6   =  127

3p   =  127  -  6

3p   =  121

p  =  121/3

p  = 40.3 lb

Substitute p = 40.3 into equation (2)

b = p - 5

b  = 40.3  - 5

b  =  35.3

The blue suitcase weigh 35.3 lb

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Use the quadratic equation to complete the following sentence.
2^2-4x + 10 =0
The quadratic equation has…
PLEASE HELP WILL GOVE BRIANLIEST

Answers

Answer:

your answer is 7/2

What is the missing number in the table below in 3 5 8 15 out 9 11 14

Answers

13 is the missing number of the table

two times the quantity of seven less than twice x

i need put this in algebraic expression ​

Answers

2(2x-7) I believe is the answer.

I cannot do this help me to this

Answers

I would say LMN is similar to PQR because they are both obtuse angles with an angle of 21 but one triangle is smaller than the other.

What number makes the equation true? Enter the answer in the box.
5 X
= 20

Answers

Answer: 5x4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

5x=20

divide both side by the coefficient of x

5x/5=20/5

x=4

A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?

Answers

Answer:

Step-by-step explanation:   1x,2y

A sloth travels about 7 feet every minute. Generate the set of ordered pairs for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1, 2, 3, and 4 minutes.

Answers

Answer:

(1, 7)

(2, 14)

(3, 21)

(4, 28)

Step-by-step explanation:

what is the net decimal equivalent if all discounts were applied in the series?
40% 15% 30%

Answers

The net decimal equivalent of the series 40/15/30 is 0.357;

Here we assume let X be retail price.

So,

X - 0.40 × X = Y    ⇒ first discounted price.

Y - 0.15 × Y = Z    ⇒ second discounted price.

Z - 0.30 × Z = T        ⇒ total discounted price.

Now

X - 0.40 × X = (1 - 0.40) × X = 0.60 × X = Y

Y - 0.15 × Y = (1 - 0.15) × Y = 0.85 × Y = Z

Z - 0.30 × Z  = (1 - 0.30) × Z  = 0.70 × Z = T

Also, Z = 0.85 × Y, then 0.70 × Z = 0.70 × 0.85 × Y

And, Y = 0.60 × X, then 0.70 × Z = 0.70 × 0.85 × 0.60 × X

So,

= 0.70 × 0.85 × 0.60 × X

= 0.357X;

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If we are asked to to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation, because:

The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0

The y-intercept will be 0

The x-intercept is the point where the graph intersects the y-axis and hence the y-coordinate of that point will be 0

The x-intercept is always at (0, 0)

Answers

Answer:

the answer will be c....

The correct option is The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0.

What are intercepts?

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Given that, we are asked to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation,

So, if we are asked to find the x-intercept, so simply by the definition of intercepts we are asked to find where is the line cutting the x-axis, and as we know that, when a line cuts x-axis its y-intercept we automatically be 0.

So, the answer to this will be, the line cut the x-axis is its x-intercept thus, making y-intercept zero.

Hence, the correct option is the x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0

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The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters

Answers

Answer:

12

Step-by-step explanation:

Answer: 13 cm x 9cm is the correct answer:)

Find the area and perimeter.

The figure shows a rectangle. The length of the rectangle is given by 9 x units. The width of the rectangle is given by 2 x plus 7 units.

18x2 + 63x; 22x + 14
63x2 + 16; 22x + 14
18x2 + 63x; 16x + 2
63x2 + 18; 11x + 7

Answers

The area and the perimeter are 18x^2 + 63x and 22x + 14

How to determine the area and the perimeter?

The given parameters are

Length = 9x

Width = 2x + 7

The area is calculated as

Area = Length * Width

So, we have

Area = 9x * (2x + 7)

This gives

Area = 18x^2 + 63x

The perimeter is calculated as

P = 2 * (Length + Width)

So, we have

P = 2 * (9x + 2x + 7)

Evaluate

P = 22x + 14

Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14

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4
Albert made $54.25 bagging groceries for 5 hours last week. What was Albert's hourly wage? '

Answers

The answer is 10.85 per hour.

Answer:

$10.85

Step-by-step explanation:

Divide 54.25 by 5 and you get 10.85.

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