The table compares actual lengths in a room to lengths in a blueprint of the room.

 Blueprint length (in.)
3
6
9
12
15
18
 Actual length (ft)
5
10
15
20
25
30


Complete the equation for the relationship, where y is the actual length in feet, and x is the blueprint length in inches. y =


The length of a wall on the blueprint is 10 inches. Find the actual length of the wall.

The actual wall is
 feet long.

A window in the room has an actual width of
2.5 feet.
 Find the width of the window in the blueprint.

The width of the window in the blueprint is
 in.

Answers

Answer 1

Answer:

The actual wall- 30

The width of the window blueprint- 1.5

Step-by-step explanation:

The actual wall- its the last answer you get for length

I just know the answer

Answer 2

The width of the window in the blueprint will be 2.7 inch.

What is the equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

From the given table choose;

⇒ (x₁ , y₁ ) = (3, 5)  &  (x₂, y₂ ) = (3, 5)

Since, We know that equation of line is,

⇒ y – y₁  = ((y₂  – y₁)/(x₂ – x₁ )) (x – x₁)

⇒ (y - 3) = ((10-5)/(6-3))(x - 3)

⇒ 3(y - 3) = 5(x - 3)

⇒ 3y  = 5x -15+9

⇒  5x-  3y = 6  ….(i)

This is the required equation.

Given that; the length of wall on blue print = 10 inch

Then, put x = 10 in equation (i) we get;

⇒ 5x10 – 3y = 6

⇒ -3y = 6 - 50

⇒ y = 14.6 ft

The actual length be = 14.6 ft

And, Also given that actual width of window = 2.5 feet

Then put y = 2.5 in equation (i) we get

⇒ 5x – 7.5 = 6

⇒ 5x = 13.5

⇒ x = 2.7 inch

Thus, The width of the window in the blueprint is 2.7 inch.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Related Questions

Select the correct answer.
Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?

A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b

Answers

Given:

The expression is

[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]

To find:

The equivalent expression.

Solution:

We have,

[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]

Taking out common factors.

[tex]=(13-10)\sqrt {22b}[/tex]

[tex]=(3)\sqrt {22b}[/tex]

[tex]=3\sqrt {22b}[/tex]

The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.

Therefore, the correct option is D.

Solve |x+4|=6 need help for a quiz

Answers

Answer:

down below

Step-by-step explanation:

set up two equations:

x + 4 = 6                    x + 4 = -6

solve both:

x = 2                          x = -10

plug it back in to the original equation:

|2 + 4| = 6.                 |-10 + 4| = -6

|6| = 6.                       |-6| = -6

6 = 6.                         since absolute value is always positive:

correct.                     |6| = -6

                                6 does not = -6

write both of these down if you need to show your work

what is
5/8 dived by 6

Answers

Answer:

3.75

Step-by-step explanation:

Answer:

5/6 divided by 6 = 5/48 or 0.1041666666 repeating

The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.

Answers

Answer:

28:24

Step-by-step explanation:

Blue to red is 28:24 or 7:6.

Which of the following statements is true of the number 651.44

A) The 4 in the hundredths place has a value that is 10 times that of the 4 in the tenths place

B) The 4 in the tenths place has a value that is 10 times that of the 4 in the hundredths place

C) The 4 in the tenths place has a value that is 100 times that of the 4 in the hundredths place

D) The 4 in the tenths place has a value that is 1/10 that of the 4 in the hundredths place

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Last one for shore area of this circle???

will give brainliest
pls hlep me!!

Answers

Answer:

16 pi units or about 50.265 units

Step-by-step explanation:

formula for area of circle is πr^2

Using the image, the radius (half the diameter) is 4 units

put this in equation

pi times 4^2

pi times 16

16pi

If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?

Answers

Answer:

2

Explanation:

I'll explain later, it has to do with prime factors, and perfect cubes.

The two values of y that work are 18, and 144.

³√(144/18) = ³√(8) = 2 [whole number]

³√(144/144) = ³√(1) = 1 [whole number]

Help I will mark brainliestttt

Answers

Answer:

11 or more

Step-by-step explanation:

55-40=15

160/15=10.666

11 or more

WILL GIVE BRAINLIEST PLEASE HELP ME

Answers

It would be negative (-)62

Bring 8/(a-x) to a denominator of x-a

Answers

Answer:

[tex]-\frac{8}{x-a}[/tex]

Step-by-step explanation:

[tex]\frac{8}{a-x}[/tex]

we can take common factor of -1 in the denominator

[tex]\frac{8}{-(-a+x)}=\frac{8}{-(x-a)}[/tex]

and now multiply and divide by -1

[tex]\frac{8}{-(x-a)}\cdot \frac{-1}{-1}=\frac{-8}{x-a}=-\frac{8}{x-a}[/tex]

ava scored a 74% a 75% and an 80% on her first three math quizzes. What would she need to scorr on her 4th quiz to have an average of 80 percent ​

Answers

Answer:90

Step-by-step explanation:

need helpp asap its due by 11:59pm i will give brainliest

Answers

Answer:

The solution is (-6,2)

Step-by-step explanation:

Answer:

Fr

Step-by-step explanation:

what is the rate and unit rate for 115 miles on 9 gallons of gas​

Answers

Answer:

the actual answer is 12.7777777778 but you can break it down to about 12.8

Step-by-step explanation:

Hope this helps :)

Arlinda is participating in her school reading
challenge. She reads 40 books in 6 months. If 26
of the books are fiction, then what percent of the
books that she read are non-fiction?

Answers

Answer:

14

Step-by-step explanation:

40-26=14 so therefore 14% of the books are non-fiction

A triangle has interior angles of (x+5) (x-5) and (2x) what is the measure of the largest interior angle?

Answers

Answer:

90

Step-by-step explanation:

interior angles of all triangles add up to 180 degrees

180=x+5+x-5+2x

180=4x

45=x

plug back in to find largest angle

2 (45) = 90

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.
What are the domain and range of the function on the graph?

The domain includes all integers, and the range is y ≥ 0.
The domain includes all integers, and the range is y > 0.
The domain includes all real numbers, and the range is y ≥ 0.
The domain includes all real numbers, and the range is y > 0.

The graph will begin at a lower point on the y-axis.
The graph will increase at a faster rate.
The graph will increase at a slower rate.
The y-values will continue to increase as x-increases.
The y-values will each be less than their corresponding x-values.

Answers

Answer:

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)

In the figure shown, AB = 8 and AD = 5. What is BC?
BC=type your answer...

Answers

Answer:

AB = 8 and AD = 5

Ad=BC ( given in fig or as its is rectangle and sides of rectangle are equal )

so BC = 5

June was thinking of a number. June doubles it and gets an answer of 98.9. What was the original number?

Answers

Answer: 49.45

Step-by-step explanation:

From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.

Let the number be represented by x.

Since she doubles it, thus implies that:

2x = 98.9

x = 98.9 / 2

x = 49.45

The number is 49.45

a shop is having a sale all items are reduced by 30% work out the sale price of an item normally priced at £110

Answers

Answer:

77 us dollar

Step-by-step explanation:

because I used a calculator

Answer:

77

Step-by-step explanation:

What scale factor was applied to the first rectangle to get the resulting image?

Enter your answer as a decimal in the box.

Answers

Answer:

7.5/3= 2.5

i checked by doing

3*2.5 and it was equal to 7.5

the scale factor is 2.5

Answer:

2.5

Step-by-step explanation:

I divided 7.5 by 3 and got 2.5then to check my answer I multiplied 2.5 and 3 to get 7.5Hope this helps.

HELPPP simplify the expression !!!

Answers

Answer:

Exact form: 3√5/5

Decimal form: 1.34164078...

Step-by-step explanation:

Answer:

6.708020

Step-by-step explanation:

easy 10 points, math underline. photo below

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The ratio x: y is 1:3
Which of the following statements are correct?
A x is 1/3 of y
B y is 3/4 of (x + y)
x is 1/4 of y
y is 3/4 of x

Answers

Answer:

Option A

Step-by-step explanation:

x : y = 1 : 3

This can be also written as

[tex] \frac{x}{y} = \frac{1}{3} [/tex]

Multiplying y on both the sides

[tex] = > \frac{x}{y} \times y = \frac{1}{3} \times y[/tex]

[tex] = > x = \frac{1}{3} \times y[/tex]

Hence , x is one-third of y

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

8+4x≥12

x≤5

x≥1

x≤1

x≥5

Answers

its b
and I dont rlly feel like explaining so yea

~.❤~Please Answer~❤.~

Answers

Answer:

True

hope it helps!

Step-by-step explanation:

it’s true
hope this helped u clarify c:

Use the graph above to determine which of the following ordered pairs is in quadrant II.
( (-5-2)
(3.2)
(4.-1)
(-4, 6)
hellppp!!

Answers

The answer is (4,-1)

7000000000000000000000 people ate 800 pizzas how many slices would each person get?

Answers

Hello! I may be wrong, I’m just going off the calculator LOL. I got:

5.6e+24

Hope this helps!

Simplify: −5(−4) + 13 =

Answers

Answer:

33

Step-by-step explanation:

-5(-4)= 20

20+13=33

Solve the Inequality! Please help me, answer needed FAST AND QUICK! Will give BRAINIEST 10 POINTS

Answers

Answer:

z (the arrow with teh line is pinting to the z) -4

Step-by-step explanation:

is -32/8 an integer...??? Pleaseeee helpppp meeee

Answers

Answer:

yes

Step-by-step explanation:

-32/8 = -4

-4 is an integer

Yes -32/8=-4. So it integers
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