A studio apartment has a floor that measures 120 feet by 60 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit : 6 feet. What are the dimensions of the scale drawing?

Answer:

[tex]x^2 + 6 = 31[/tex]

Step-by-step explanation:

Given

[tex]Painted = 6ft^2[/tex]

[tex]Total = 31ft^2[/tex]

Dimension of unpainted area:

[tex]Length = Width = x[/tex] --- Square

Required

Determine an expression to solve for x

First, calculate the area of the unpainted space;

[tex]Area = Length *Width[/tex]

[tex]Area = x*x[/tex]

[tex]Area = x^2[/tex]

The unpainted area, added to the painted area, equals the total area.

So, we have:

[tex]Area + Painted = Total[/tex]

[tex]x^2 + 6 = 31[/tex]

Hence, the expression is: [tex]x^2 + 6 = 31[/tex]

Answer:

12.5 inches

Step-by-step explanation:

Im taking the exam!!

Answer:

In summary, the translation and scale factor are:

Translation: (x,y)↦(x+5,y+4)

Scale factor: 2

Step-by-step explanation:

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

=17a-8b

Answer:

(2, −6.5)

Step-by-step explanation:

The solution to a system of equations is where they intersect

They intersect near x = 2 y = -6.5

Answer:

(2, −6.5)

Step-by-step explanation:

Answer:  38 feet

Step-by-step explanation:

Based on the dimensions of the garden, we can infer that it a rectangular garden because one side is longer than the other.

The perimeter of a rectangle is calculated as:

= (2 * length) + (2 * width)

= (2 * 15) + (2 * 4)

= 30 + 8

= 38 feet

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

Answer:A

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

You will want all numbers to have the same common denominator, then you can add them together.

1 = 8/8

1/2 = 4/8

1/4 = 2/8

1/8 = 1/8

[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

[tex]\angle ATR\cong \angle ITB[/tex]              [Common angles]

[tex]\angle ART\cong \angle IBT[/tex]              [Corresponding angle]

[tex]\triangle ATR\sim \triangle ITB[/tex]              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]

[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]3(x)=2(x+8)[/tex]

[tex]3x=2x+16[/tex]

[tex]3x-2x=16[/tex]

[tex]x=16[/tex]

Therefore, the correct option is C.

Answer:

x = 2

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{6}{x+1}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )

6x = 4(x + 1)

6x = 4x + 4 ( subtract 4x from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

subtracting both sides by 3

x + 3 - 3 = 12 - 3

x + 0 = 9

x = 9

Answer:

x = 9

Step-by-step explanation:

x + 3 = 12

x (+ 3 - 3) = 12 - 3

x = 9

Answer:It's 1

Step-by-step explanation:

Answer:

6.34 years

Step-by-step explanation:

Given data

Principal P=$5,000

Rate r= 8%

Final amount A=  $8,303.00

The expression for the time will be

t= ln(A/P)/r

substitute

t= ln(8,303.00/5000)/0.08

t= ln(1.6606)/0.08

t= 0.507/0.08

t= 6.3375

Hence the time is about 6.34 years

Answer:

Step-by-step explanation:

Answer:

You must find the diameter then half it, so the radius, and then multiply it by 3.14152

Step-by-step explanation:

Answer:

Domain:

(−∞,5/2),{x/x<5/2}

Step-by-step explanation:

not sure tho wait for someone else to see if its true

Answer:

1st option:  55 + 19.50m = 250

Step-by-step explanation:

Answer:

x =417.6

Step-by-step explanation:

0.5x+78.2=287

Subtract 78.2 from each side

0.5x+78.2-78.2=287-78.2

.5x =208.8

Divide each side by .5

.5x/.5 = 280.8/.5

x =417.6

The only table that represents a function is the fourth option.

A function is a relation that maps elements from a set (domain) into elements of another set (range).

Such that each element from the domain can be mapped into only one element from the range.

In the table, the "x" values are from the domain, and the "y" values are from the range.

So, if you see a table with the same value of x being mapped into two different values of y, then that relation is not a function.

With that in mind, the only table that meets this property is table number 4.

If you want to learn more about functions, you can read:

https://brainly.com/question/1770447

Answer:

arts: movement and flexibility  Music: communication and rhythm

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

Answer:

[tex]Volume=56\frac{1}{4}[/tex] cubic feet

Step-by-step explanation:

Given

[tex]L =3\frac{3}{8}ft[/tex] --- Length

[tex]W =13\frac{1}{3}ft[/tex] --- Width

[tex]H =3\frac{3}{4}[/tex] --- Tank

[tex]Water\ level = \frac{2}{3}[/tex]

Required

Space not covered with water

If the water level is:

[tex]Water\ level = \frac{2}{3}[/tex]

Then the empty space is:

[tex]Empty = 1 - Water\ level[/tex] --- Complement rule

[tex]Empty = 1 - \frac{2}{3}[/tex]

Take LCM

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

[tex]Empty = \frac{1}{3}[/tex]

So, the volume of the empty space is:

[tex]Volume=L*W*H*Empty[/tex]

[tex]Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}[/tex]

Express fraction as improper fraction

[tex]Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}[/tex]

Simplify

[tex]Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}[/tex]

Simplify

[tex]Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}[/tex]

[tex]Volume=\frac{3*5*15}{4}[/tex]

[tex]Volume=\frac{225}{4}[/tex]

[tex]Volume=56\frac{1}{4}[/tex]

Answer:

11 is the missing number

Answer:

the answer should be 11 your welcome

Answer:

A translation 1 unit left and 2 units up

Step-by-step explanation:

1) look at the point at the very bottom-we can call that point A

2) that point on figure C would be at (3,-5)

3) if you move it to the left one and up two, you get that same point but on figure D

So, the answer is the second option

- 8 / 20 = y / - 4

y = - 4 × - 8 / 20

y = 4 × 8 / 4 × 5

y = 8 / 5

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

Answer:

$120,000

Step-by-step explanation:

Given that

The price of the new car is $750,000

And, the saving percent is 16%

We need to find out the saving amount for the deposit

SO, the saving amount is

= $750,000 × 16%

= $120,000

We simply multiply these two to each other so that the saving amount could come

Answer:

3.9 mi^2 (rounded)

Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum