Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?

Answers

Answer 1

The actual lenght will be 6 fee

The actual width will be 4 feet

The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5

The perimeter of the floor is 20 feet

The area of the first floor that Jenna's that father built is 24ft²

Given the conversion factor 2inches = 1feet

1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:

12 inches = x

2inches = 1feet

_____________________________

2x = 12

x = 6 feet

Hence the actual lenght will be 6 feet

2) If the width of the entire first floor is 8 inches, the actual width is expressed as;

8 inches = x

2inches = 1feet

_____________________________

2x = 8

x = 4 feet

Hence the actual width will be 4 feet

3) Thee scale factor will be the ratio of the length to the width as shown:

Ratio = length/width

Ratio = 6/4

Ratio = 3/2

Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5

4) The perimeter of the floor = 2(L + W)

Perimeter = 2(6 + 4)

Perimeter = 2(10)

Perimeter of the floor is 20 feet

5) Area of the floor = length * width

Area of the floor = 6ft * 4ft

Area of the floow = 24ft²

Hence the area of the first floor that Jenna's that father built is 24ft²

Learn more on area and perimeter of rectangle here:https://brainly.com/question/19819849


Related Questions

Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction

Answers

The answer should be C. Examples of mixed numbers: 1 2/3; 3 6/7; 2 12/18. Hope this helps. Note: If I’m right can I have brainliest ?

write 200% as a decimal​

Answers

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

Can you convert the stander linear equation 5x-3y=15 into slope intercept form?

Answers

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $58. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.

Answers

Answer:

58= 2x +12

each pass is 23 dollars

Step-by-step explanation:

let x represent the cost of the passes

58= 2x + 12

solve for x

58-12 = 2x +12 -12

46 = 2x

46/2 =2x/2

23 = x

Find the slope for (3,1)and (4,3)

Answers

y2-y1 / x2-x1

so, 3-1 =2 and 4-3=1
2/1 is 2

Answer:

2

Step-by-step explanation:

slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points

We are given the points (3,1)and (4,3)

Given these points we can define our variables

(x1,y1) = (3,1) so x1 = 3 and y1 = 1

(x2,y2) = (4,3) so x2 = 4 and y2 = 3

Now that we have defined our variable, we plug them into the formula

Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3

* plug in values *

[tex]\frac{3-1}{4-3}[/tex]

subtract 3 and 1 , and 4 and 3

[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]

the slope is 2

What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.

Answers

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:

May I please receive help?

Answers

Problem 1 (on the left)

Answers:

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

-------------------------------

Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

=========================================================

Problem 2 (on the right)

Answers:

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

-------------------------------

Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

What is 48.5% of 300?

Answers

278 cause when you carry the three to the 48.5 you have a remainder equal to the composite of both

Please Help
Identify the underlined place in 81.7277. Then round the number to that place.
Underlined place is 2/Two

hundredths; 81.72

thousandths; 81.73

thousandths; 81.72

hundredths; 81.73

Answers

Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

The proportional relationship between the number of hours Taylor works, h, and her total earnings in dollars and cents, e, can be represented by the equation e=15.9he=15.9h. How much does she make in dollars and cents per hour?

Answers

The amount she makes in an hour is $15.90.

The amount Taylor earns is directly proportional to the hours Taylor works.

The equation that can be used to represent direction proportion is:

y = kx

where:

y = dependent variable

k = constant of proportionality

x = independent variable

e = 15.9h

Amount earned in an hour

e = 15.9(1)

e = $15.90

A similar question was answered here: https://brainly.com/question/24799762

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).

On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).

Answers

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

What is co-ordinate plane?

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

A horizontal line exists as a straight line that varies from left to right or right to left. In coordinate geometry, a line is expressed to be horizontal if two points on the line include the same Y- y-coordinate points. It arrives from the term “horizon”. It indicates that the horizontal lines exist invariably parallel to the horizon or the x-axis.

Hence, On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

To learn more about co-ordinate planes refer to:

https://brainly.com/question/7038052

#SPJ2

Answer:

C

Step-by-step explanation:

Edge 2023

Simplify this please!!!! 100 points!!!!! ;)

Answers

Answer:6^21

Step-by-step explanation:

Answer: its B

Step-by-step you multiply 7 x 3 and you get 21

Which is a better buy?

Answers

Answer:

four pack of notebooks for $4.56

Answer:

the 3-pack of note books for 3.33

Step-by-step explanation:

hope this helped have a great day!

I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?

Answers

Answer:

  (f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

  (f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

  (f·g)(x) = x³ -8x² +20x -16

_____

Additional comment

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

help me pls... ....

Answers

Step-by-step explanation:

A1

1 yard = 3 feet

1 foot = 12 inches

therefore,

100 yards = 100×3×12 inches = 3600 inches

A2

again, 1 yard = 3 feet

8 ft = 8/3 = 2.67 yards = 2 2/3 yards

A3

1 gallon = 8 pints

A4

1 liter = 1000 milliliters (remember, "mili" means 1/1000).

therefore,

2.2 liters = 2.2×1000 = 2200 milliliters

A5

again, 1 liter = 1000 milliliters

therefore

1 milliliter = 1/1000 liter

670 milliliters = 670 × 1/1000 liter = 670/1000 liter =

= 0.67 liter

B1

1 kg (kilogram) = 1000 grams ("kilo" means 1000).

we have 3 layers.

each layer weighs (cake plus icing)

1/2 kg + 100 g = 500 g + 100 g = 600 g

3 layers then weigh

3×600 g = 1800 g

the additional candle weighs 250 g.

so, the total is

1800 g + 250 g = 2050 g = 2.05 kg

B2

area is 110 m².

1 m = 100 cm ("centi" means 1/100).

and 1 m² is then 100×100 = 10000 cm².

so, the area in cm² is

110 × 10000 = 1,100,000 cm²

the top area of one brick = 10 × 20 = 200 cm²

so, we need

1,100,000 / 200 = 11,000 / 2 = 5500 bricks

A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300

Answers

Answer:

D

Step-by-step explanation:

if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank

Answers

The weekdays
Because there are 5 week days so most likely they will meet up on those days

can someone please help with this?

Answers

The line passes the y axis at 0. The gradient is 3 so for every 3 it goes up it should go one along.

A couple of friends decide to race each other. Liam can run 5 meters per second, and Grace
can run 8 meters per second. Because he is slower, Liam also gets a head start of 12 meters.
Shortly after they start running, Grace will catch up to Liam. How far has Grace run at that
time? How long will that take?

Answers

Answer:

32 m

4 sec

Step-by-step explanation:

just trust me i did the math

Answer:

i agree with the other person

Step-by-step explanation:

What equation matches this graph?
TI
y = 2x + 2
y = 3/2x + 2
y = 1/2x + 2
y = 2/3x + 2

Answers

Answer:

y = 1/2x+2

Step-by-step explanation:

first find x intercepts : to find x intercept put 0 in y

1/2x+2 = 0

1/2x= -2

x = -4 the graph shows x intercept at 4

next find y intercept : to find y intercept put 0 into x

=1/2*0+2

=2

the graph shows y crosses at 2.

Answer:

y = 1/2x+2

Hurry I need to get this done

Answers

A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.

B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.

C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.

D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.

So A. is the correct answer.

Answer:

A. (2,4), (2,7)

Hope you could get an idea from here.

Doubt clarification - use comment section

Which of the following shows the less amount from the original value?

a. Gadget of 5000 with 5% discount price

b. Mr Smith bought a leather bag for £25 and sold it for £45.

c. A calculator marked £8.50 and Mr Smith pay 15% VAT for this item.

d. Mr Smith sold of £875 for furniture with a gain of 6%.

and explain why.

Answers

Answer:

A

Step-by-step explanation:

This is because it is discounting however in the others it's increasing VAT=Value added Tax,

gain, 45-25=£20 profit therefore it's A.

Answer:

Gadget of 5000 with 5% discount price

Step-by-step explanation:

This is the only option with a discount, not an additional extra on top.

please explain to me how to solve for x and y

Answers

Answer:

  (x, y) = (6, 2)

Step-by-step explanation:

You solve for x and y by writing equations that reflect the relation applicable to the given geometry.

The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.

  2x -4 = 4y . . . . . . down diagonal

  x +4 = 7y -4 . . . . . up diagonal

__

We can subtract the first equation from 2 times the second equation to eliminate the x-variable.

  2(x +4) -(2x -4) = 2(7y -4) -(4y)

  2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses

  12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms

  20 = 10y . . . . . . . . . . . . . . . . . . add 8

  2 = y . . . . . . . . . . . . . . . . . . . . divide by 10

Substituting into the second equation gives ...

  x +4 = 7(2) -4

  x = 6 . . . . . . . . . . . . subtract 4

The values of x and y are (x, y) = (6, 2).

_____

The lengths of the diagonals are 20 and 16.

Use the following system of equations to determine if each ordered pair is a solution: 1. Is (-4,-2) a solution to the system of equations below? Show your work. -3x+2y=8 x + 2y = -8​

Answers

Yes it is a solution to the system.

Marsha deposited ​$5,500 into a savings account 5 years ago. The simple interest rate is ​3%. How much money did earn in​ interest?
Substitute the values into the equation.
Interest​ : $_ x _ x _%

Answers

Answer:

5,500 × 30%

Step-by-step explanation:

165.00 in intrest

simplify the following 2 √5 *5 √5

Answers

Answer: 50!!!

Step-by-step explanation:

What does: 8w+22=34 equal?

Answers

Answer:

3/2

HOPE I HELPEDD

Answer:

w= 1 1/2

I dont know if thats the question youre asking, if its not tell me.

The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tides occur at 12:00 am and 12:30 pm, with a depth of 2. 5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5. 5 m. Let t = 0 be 12:00 am. Which periodic function, sine or cosine, would be a simpler model for the situation? Explain.

Answers

The depth of the water at the end of a pier changes peri along with the movement depth 12.009 am or two

Answer:

A cosine function would be a simpler model for the situation.

The minimum depth (low tide) occurs at t = 0. A reflection of the cosine curve also has a minimum at t = 0.

A sine model would require a phase shift, while a cosine model does not.

edge 2022

hope it helps :)

Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.

Answers

Step-by-step explanation:

the slower plane traveled x miles in 4 hours.

the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.

so,

x + x + 320 = 3800 miles

2x =3480 miles

x =1740 miles (in 4 hours) .

that means the slower plane's speed was 435 mph.

and the faster plane's speed was 435 + 80 = 515 mph.

First person to get it right will get Brainly and 20 points. Good luck

Answers

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

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