I decided to add a room to my house and now need to know the total square feet of the house. The dimensions of the original house are (X + 8) by (x + 12) and the dimensions of the new addition are x by (x + 6). What is the total area of my new house. What's the area of the original house? What's the area of the new addition? What's the total area of the house?

Answer:

A.

x=1/2 or 0.50

Hey there!

ORIGINAL EQUATION

x + x + x = 56

CONVERT/COMBINE the LIKE TERMS

1x + 1x + 1x = 56
2x + 1x = 56

NEW EQUATION

3x = 56

DIVIDE 3 to BOTH SIDES

3x/3 = 56/3

SIMPLIFY IT by canceling out 3/3 because it give you 1 & KEEP 56/3 because help solve for the x-value (it also give you the x-value result)

x = 56/3

x = 18.666667

x = 18 2/3

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE ALL EQUIVALENT TO EACH OTHER

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The coordinates of the point X:

Step-by-step explanation:

Let X be the point.

As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

[tex]\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)[/tex]

[tex]\left(x_2,\:y_2\right)=\left(5,-1\right)[/tex]

Rise = y₂ - y₁

       [tex]= -1 - (-8)[/tex]

       [tex]= -1 + 8[/tex]

       [tex]= 7[/tex]

Run = x₂ - x₁

      [tex]= 5 - (-2)[/tex]

      [tex]= 5 + 2[/tex]

      [tex]= 7[/tex]

1 : 6 ratio means the point X lies at

[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]

Thus,

rise for X [tex]=\:7\:\times \:14\%=1[/tex]

run for X [tex]=\:7\:\times \:14\%=1[/tex]

Thus, coordinates of X will be:

[tex]x = -2 + 1 = -1[/tex]

[tex]y = -8 + 1 = -7[/tex]

Therefore, we conclude that:

The coordinates of the point X:

The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.

If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:

[tex]x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7[/tex]

O = (-1, -7)

The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.

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Answer:

10. ∠ZD is an obtuse angle ∠KS is an obtuse angle

11. ∠LV is an obtuse angle ∠LM is a right angle ∠BF is an obtuse angle

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

step by step

Answer:

3.5 meters times 100 is equal to 350 centimeters.

Step-by-step explanation:

Answer:

60 I think 3/5 converted to a decimal would be 0.6 right?

Step-by-step explanation:

Answer

w+(w+5)=61

Step-by-step explanation:

Answer:

an answer could be Patricia is 33 and wyatt is 28 so x=33

Step-by-step explanation:

Step-by-step explanation:

2 + 59 -(-9) = 2+ 59 +9 = 59 + 11 = 70

Answer:

3

Step-by-step explanation:

The correct option is D, the value of the missing side x is 5.

If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.

If that scale is k, then we can write:

3k = 15

Solving for k:

k = 15/3

k = 5

Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:

1*k = x

1*5 = x

5 = x

The correct option is D.

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Answer:

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

The Value of car when it is purchased =  $25,900

Step-by-step explanation:

As given,

The value at the end of the year was 17% less than its value at the beginning of the year.

⇒ value at the end of the year = (100% - 17% ) = 83% of value at the beginning of the year.

Now,

Let the Value of car when it is purchased = x

So,

Price at the end of 1 year = 83% of x = 0.83x

Price at the end of 2 year = 83% of 0.83 x = (0.83)² x

Price at the end of 2 year = 83% of (0.83)² x = (0.83)³ x

and so on

Price at the end of n years = (0.83)ⁿ x

∴ we get

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

Now,

Value of car after 2 year = (0.83)² x = $17,842.51

⇒0.6889x = $17,842.51

⇒x = [tex]\frac{17,842.51}{0.6889}[/tex] = $25,900

∴ we get

The Value of car when it is purchased = x = $25,900

Answer:

95 Degrees Celsius

Answer:

its the first one i believe

Answer:

I believe it's, The difference between a number and five is negative two.

Step-by-step explanation:

Answer:The Miller family drove 379miles on Tuesday.

Step-by-step explanation:

Amount of miles driven in two days = 736  miles

Amount of miles driven on Monday = 357miles

 Therefore Amount of miles driven on Tuesday =Amount of miles driven in two days -mount of miles driven on Monday

= 736miles -357miles

=379miles

Answer:

Its A :)

Step-by-step explanation:

Answer:

You need to figure out how many minutes per kilometer.

Lynda ran 22 divided by 5 = 4.4 minutes per kilometer

Janet ran 8.5 divided by 2 = 4.25 minutes per kilometer

Therefor, Janet ran the faster race.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

Given that:

[tex]P = 39[/tex] --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]

Substitute 39 for P

[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]

[tex]2x + 24 = 39[/tex]

Collect like terms

[tex]2x = -24 + 39[/tex]

[tex]2x = 15[/tex]

Divide through by 2

[tex]x = 7.5[/tex]

The area of the shape

The shape can be divided into two rectangles

So, the area of the shape is:

[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]

[tex]Area = 27ft^2 + 2ft \times x ft[/tex]

Substitute [tex]x = 7.5[/tex]

[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]

[tex]Area = 27ft^2 + 30 ft^2[/tex]

[tex]Area = 57 ft^2[/tex]

Hence, the area of the shape is 57 square feet.

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Answer:

18,000 grams of rice

Step-by-step explanation:

First multiply 3 x 6 to find out how many kilograms total the crew is carrying. Then convert the 18 kilograms into grams by multiplying by 1000.

Hope it helps!

Answer:

Step-by-step explanation:

Here, ABCD is a parallelogram.

∠CBD=40

o

 and ∠BAD=80

o

.

AD∥BC and BD is a transversal.

∴  ∠ADB=∠CBD            [ Alternate angles ]

∴  ∠ADB=40

o

.

∴  y=40

o

.

In △ADB,

⇒  ∠ADB+∠DBA+∠BAD=180

o

⇒  40

o

+x+80

o

=180

o

⇒  120

o

+x=180

o

⇒  x=180

o

−120

o

⇒  x=60

o

We get, x=60

o

 and y=40

o

.

Answer:

0.16

Step-by-step explanation:

hope this helps!

Answer:

0.16

Step-by-step explanation:

First let's convert 0.4% to a decimal.

0.4% = 0.004

So, 0.4% of 40 is just 0.004 times 40, which is 0.16.

Let me know if this helps!

Answer:

Option 2 and Option 5

Step-by-step explanation:

Answer:it is the second one

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-48/2 ÷ (-6)

-24 ÷ (-6)

4

Answer:

Step-by-step explanation: The commission will be a total of $11.25.

the commission would cost $11.25

Answer:

36 texts

Step-by-step explanation:

Last week = 40 texts

This week = 40 -10%of 40

= 40-4

=36 texts

Hope this helps you.

The point (-8, -3) is reflected on x-axis, we have (-8, 3) and the point is reflected on y-axis, we have (8, -3). Therefore, options A and E are the correct answers.

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

The given coordinate point A is (-8, -3).

Reflection on x-axis, we get

(-8, -3)→(-8, 3)

The reflection of point (x, y) across the y-axis is (-x, y).

Reflection on y-axis, we get

(-8, -3)→(8, -3)

Therefore, options A and E are the correct answers.

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Answer:

I believe the answer is b as my friend dream said

Step-by-step explanation:

Answer:

-0.8375

Step-by-step explanation: