Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?
How wide should the door be on the scale drawing?
cm
Explain how you know
Type your response in the box below.
c. Mai's kitchen table measures 4 cm by 2.5 cm on the scale drawing.
What are the actual measurements of her kitchen table?
Type your answers in the boxes below.

Answers

Answer 1

Answer:

Her door should be 3cm on scale

The actual dimension of the kitchen table is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Step-by-step explanation:

Given

[tex]Scale= 1 : 40[/tex]

[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]

[tex]Door\ Width = 1.2m[/tex]

Solving (a): The width of the door on the scale

Represent the scale width with x

So, we have:

[tex]1 : 40[/tex]

and

[tex]x : 1.2[/tex]

Equate both ratios

[tex]1 : 40 = x : 1.2[/tex]

Represent as fraction

[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]

Solve for x

[tex]x = \frac{1.2}{40}[/tex]

[tex]x = 0.03m[/tex]

[tex]x = 3cm[/tex]

Hence, her door should be 3cm on scale

Solving (b): Actual Dimension of the kitchen table

To solve this, we simply multiply the scale dimensions by 40

[tex]Length = 4cm * 40[/tex]

[tex]Length = 160cm[/tex]

[tex]Length = 1.6m[/tex]

[tex]Width = 2.5cm * 40[/tex]

[tex]Width = 100cm[/tex]

[tex]Width = 1m[/tex]

Hence:

The actual dimension is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]


Related Questions

(5,0) is a solution to the equation y = 5x + 5 Question 11 options: True False

Answers

Answer:

False

Step-by-step explanation:

y=5x + 5

0=5 (5)+5

0=10+5

0≠15

False

Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.

Answers

Answer:

(x-4)^2 + (y+5)^2 = 324

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-4)^2 + (y+5)^2 = 18^2

(x-4)^2 + (y+5)^2 = 324

One-half of a roll of wallpaper covers 1/10th of a wall. How many rolls of wallpaper are needed to cover half the wall? (a) 2/10 (b) 2 1/12 (c) 5 (d) 10

Answers

Answer:

  2 1/2 rolls

Step-by-step explanation:

rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)

It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.

Answer:

[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall

The correct option is (b) 2 1/2

Step-by-step explanation:

To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,

From the question,

One-half of a roll of wallpaper covers 1/10th of a wall.

Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)

Now,

First, we will find the part of the wall that will be covered by one roll of the wallpaper

If one-half of the roll of wallpaper covers 1/10th of the wall.

Then, one roll (two halves) will cover 2 × 1/10th of the wall

= 1/5th of the wall

Hence one roll will cover 1/5th of the wall

Now, for the number of rolls that will cover half (1/2) the wall

If one roll of the wallpaper covers 1/5th of the wall

Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall

[tex]x =\frac{1/2 \times 1}{1/5}[/tex]

[tex]x =\frac{5}{2}[/tex]

[tex]x =2\frac{1}{2}[/tex]

Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall

If x is not equal to zero, what is the value? show step by step.​

Answers

Answer:

2/3

Step-by-step explanation:

Simplify the numerator

(2x) ^3 = 8 x^3

8x^3 * 3x = 24 x^4

Simplify the denominator

(6x^2) ^2 = 36 x^4

Simplify the fraction

24x^4/ 36 x^4 =

24/36 = 2/3

x^4/x^4 =1

The fraction is 2/3  when x does not equal 0

What is the sum of -5 and -5?

Answers

-5+-5=-10 so the sum is -10

MARK BRAINLIEST


The left and right page numbers of an open book are two consecutive integers whose sum is 473. Find these page numbers.


The two page numbers are ______

(Use a comma to separate
answers as needed.)


PLEASE HELP MARK BRAINLIEST

Answers

Answer:

263,267

Step-by-step explanation:

473/2 is 263.5 and so just add .5 to one and subtract .5 from the other

236, 237 is the answer to this problem. Hope I helped

-2.1-[2.3-(3.5-(1.9))]
WITH AN EXPLANATION PLEASE
I WILL GIVE BRANLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

-2.1

Step-by-step explanation:

Using your equation if the number of square feet is 2400, what is the price of the house? If algebraic work is not shown, describe how you found your answer. How well does this fit with the actual data?

Answers

Answer:

Step-by-step explanation:

Need help. Not understanding

what number is 100 times greater than 20?

Answers

Answer:

2000

Step-by-step explanation:

just muliply

2000 is the correct answer

4 b + 19 can be translated as "nineteen more than the product of 4 and a number." TrueFalse

Answers

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

4b+19

If 19 is added to 4b, then yes, it is 'nineteen more than...'

4b is a multiplication expression in itself and the term 'product' means the answer to a multiplication problem.

So the answer is true.

hope it helps!

I’ll mark you brainliest for the first response! Explain answer in full detail.

Answers

Answer:

x = 25

Step-by-step explanation:

2x + 4 + x + 11 = 90, combine like terms

3x + 15 = 90, subtract 15 from both sides

3x = 75, divide by 3

x = 25, you have your answer!

x= 25 is the answerrrrr

What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1? A.Multiply both sides by 6. B.Add 2 to both sides. C.Change the direction of the inequality. D.Change the inequality to ≤.

Answers

Answer:

Multiple both sides by 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:                                                                                          

What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1?

(A is the correct answer) Multiply both sides by 6.

B: Add 2 to both sides.

C: Change the direction of the inequality.

D; Change the inequality to ≤.

My brother ate 4 of the cupcakes my mother just finished baking for her back sale. That was 2/5 of all of them! With how many cupcakes did she start with?

Answers

Answer:

10

Step-by-step explanation:

if 4 cupcakes were 2/5 of what she started out with, i divided 4/2 and got 2 so 2 cupcakes per 1/5, 2*5=10 so 5/5 is the 10 cupcakes

QUESTION 8 A motorboat leaves a harbor and travels at an average speed of 6 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 12 mph toward the same island In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?

Answers

Answer:

2 hours

Step-by-step explanation:

Distance = rate × time

That is,

d=rt

Let

t = time (hours) cabin cruiser traveled

t + 2 = time (hours) motorboat traveled

motorboat = 6 mph

Cabin cruiser =12 mph

Motorboat distance

d=rt

d = 6(t + 2)

Cabin cruiser distance

d=rt

d = 12(t)

Equates the two distance

6(t + 2) = 12t

Open bracket

6t + 12 = 12t

12 = 12t - 6t

12 = 6t

Divide both sides by 6

t = 12 / 6

= 2

t = 2 hours

The cabin cruiser will be alongside the motorboat in 2 hours

Which choice could you use to find the distance D between the points shown on the number line

Answers

Answer:

d = |145 − (−235)|

Step-by-step explanation:

Consider the triangle shown in the diagram
8
60°
75°
Choose 2 reasons why x = 135°
a. The two remote interior angles add up to 135º.
b. triangle is 180°. Xº = 135° because it is
supplementary to c. Therefore x°= 135º.
d. x° and

Answers

Answer:

the 2 are letters a and b

what is the y-intercept of the table shown?​

Answers

Answer:

the answer is (0,-2) trust bro I did the work

Kyle wants to find out how many textbooks his class has in total. He has discovered
that each student has an average of 5 textbooks. There are 30 people in his class. How many
textbooks does his class have in total?

Answers

Answer: His class has approximately 150 textbooks in total

Explanation: Because it is given that each student carries about 5 textbooks, with 30 students in the class, the equation would be 5 • 30 = 150. Some students may have more, while others may have less, so the average is given as 5 in order to simplify the equation.

0.5s +1=7 + 4.5s
S =

Answers

Answer:

[tex]s = -\frac{3}{2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]s[/tex] :

[tex]0.5s + 1 = 7 + 4.5s[/tex]

-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :

[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]

[tex]-4s + 1 = 7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]-4s + 1 - 1 = 7 - 1[/tex]

[tex]-4s = 6[/tex]

-Divide both sides by [tex]-4[/tex] :

[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]

[tex]s = -\frac{3}{2}[/tex]

So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].

Algebra 1- 10 pts
Solve for t.

−4t≤48

Enter your answer as an inequality

Answers

The answer for this problem is t ≥ - 12

22. y =x-v over b solve for x

Answers

Answer:

See Below

Step-by-step explanation:

y = [tex]\frac{x-v}{b}[/tex]

Isolate x

First step, multiply both sides by b to get rid of fraction

y(b) = x - v

+v          +v

y(b) +v = x

Hope this helps!=)

I NEED ANSWER ASAP I WILL GIVE BRAINLIEST IF RIGHT
Question 9
3 pts
2
1
3
4
If m_1 equals (4x + 2) and m-3 equals (5x - 15), what is the value of x?
16
0 14
15
17

Answers

17

Because of the opposite angle Theorem, we make 4x+2 and 5x-15 equal to each other to solve for x.

Which problem can be represented by the equation 12z + 2 = 98?

Each train car holds 12 tons of ore. A production facility currently has 98 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Each train car holds 12 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 98 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Each train car holds 98 tons of ore. A production facility currently has 12 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Each train car holds 98 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 12 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?

Answers

Answer:

Its A i took the test while looking at this but no one awnsers so i took a leap and got the right answer here ya go buddy sorry if its not the same anwser for you

Step-by-step explanation:  

Answer:

B

Step-by-step explanation:

Which of these is a unit rate? A $25 per 5 hours B 10 kilometers per minute C 35 miles per 4 gallons D 75 yards per 25 dollars

Answers

Answer:

B. 10 km. per minute

Step-by-step explanation:

A unit rate is a ratio that is over 1. 10 km. per minute is describing how many km. in one minute. A unit rate can then be used to predict ratios further in a sequence by multiplying the minutes with the 10 km.

Hope that helps!

Answer:

b

Step-by-step explanation:

I need the answer to this question and it’s timed

Answers

Answer:

Ramesh is not correct; 7^-5 is 1/ 16807

Step-by-step explanation:

Solve for x in simplest form. 9=1/4 (6x+12)

Answers

Answer:

x=4

Step-by-step explanation:

9=1/4 (6x+12)

Multiply each side by 4

4*9 =4*1/4 (6x+12)

36 =  (6x+12)

Subtract 12 from each side

36-12 = 6x+12-12

24 = 6x

Divide each side by 6

24/6 = 6x/6

4 =x

Hope this helps! Feel free to ask any questions.

the time is 10 ; 34 what time will it be in 285 minutes

Answers

3:19 is your answer aaaaaa

PLEASE HELP ME, and explain it please please please <3

Answers

the answer would be f(x)= x+47

Use the Distributive Property to simplify 8(y+3)

Answers

[tex]8y+24[/tex]. you multiply all of the values in the parentesys.

Answer:

[tex]\huge\boxed{\sf{8y+24}}[/tex]

Step-by-step explanation:

Hello.

Let's recall that the Distributive Property states that

a(b+c)=ab+ac

Using the formula, let's simplify:

8(y+3)

Multiply 8 times y and 8 times 3 and add the products:

8y

24

Add:

8y+24

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198
*text messages?

Answers

Answer:

$19.8

Step-by-step explanation:

To find the answer, find the  ratio.

Answer: 1980

Step-by-step explanation:

Set yp a proportion

5.60dollars=56texts

----------------   ----------

198dollars=    x

Then you cross multiply the 198 with the 56

then you divide the 5.60

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