The balcony of an apartment is 4 feet by 7 feet. On a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches. What are the actual dimensions of the kitchen? Enter your answers in the boxes. The actual dimensions of the kitchen are feet by feet.

Answers

Answer 1
4 / 0.8 = 5, 7 / 1.4 = 5. The ratio between actual dimension and the drawing is 5

Thus, 2.4 inches * 5 = 12 feet and 2.8 inches * 5 = 14 feet
12 feet x 14 feet
Answer 2

Answer:

12 by 14

Step-by-step explanation:

took quiz


Related Questions

Christian got a haircut yesterday afternoon if the hair stylist charged $18 and christian gave 20% tip how much dod he pay for the haircut

Answers

hey bro just basically add it like this multiply 18 by .20 and then add the answer to 18

Answer:

He paid $ 21.6 for the haircut.

Step-by-step explanation:

Given,

The amount charged by hair stylist = $ 18,

The percentage of tip = 20 %,

So, the amount of the tip = 20 % of 18

= 0.2 × 18

= $ 3.6,

Hence, the total amount paid by him for haircut = The amount charged by hair stylist + Tip

= $ 18 + $ 3.6

= $ 21.6

By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?

Answers

Let the numerator be x and denominator be y

original fraction = x/y

numerator decreased by 50% = 0.5x

denominator decreased by 25% = 0.y75
 
new fraction = 0.5x/0.75y = 2/3 (x/y)


new fraction is 2/3 of the original fraction. It decreased by 1/3

1/3 x 100 = 33%

Percentage decreased = 33%

Answer:

33.33% will work

Step-by-step explanation:

RSM BOI

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden? The perimeter increases % from the first garden to the second garden.

Answers

Answer:

  100%

Step-by-step explanation:

When the dimensions double, the perimeter doubles.

The percent change can be found from ...

  percent change = ((new value)/(old value) -1) × 100%

Filling in your values, you have ...

  percent change = ((2×(old perimeter))/(old perimeter) -1) × 100%

  = (2 - 1) × 100%

  = 100%

The perimeter increases by 100% from the first garden to the second.

In △DEF, DE = 5 and m∠F=55. Find FE.

Answers

check the picture below.

make sure your calculator is in Degree mode.
SOH CAH TOA

tan(55°) = 5/(FE)
FE = 5/tan(55°)
FE = 3.5

What is the GCF of 14x^2 and 4xy? A. 10x B. 28x^2y C. 2x2 D. 2x

Answers

greatest common factor is the largest number you can factor out of both.

14x^2 and 4xy

answer is D. 2x

when an aircraft takes off, it accelerates until it reaches its takeoff speed V. in doing so it uses up a distance R of the runway, where R is proportional to the square of the of the takeoff speed. if V is measured in miles per hour and R is measured in feet, then 0.1639 is the constant of proportionality. if an aircraft has a takeoff speed of about 215 miles per hour, how much runway does it need?

Answers

Answer: 36.22 feet

Explanation:

Two quantities are proportional if and only if their ratio is constant. Since V and the square of R are proportional, then the ratio of V to the square of R is constant. In terms of equation:

[tex] \frac{V}{R^2} = k[/tex]

For some constant k.

Since the constant of proportionality is equal to 0.1639, k = 0.1639. Moreover, since the takeoff speed of the aircraft needs to be 215 miles per hour, the runway needed is will be obtained by solving for R in the following equation:

[tex]\frac{V}{R^2} = k \\ \\ V = kR^2 \\ \\ R^2 = \frac{V}{k} \\ \\ R = \sqrt{\frac{V}{k}} \\ \\ R = \sqrt{\frac{215}{0.1639}} \\ \\ \boxed{R = 36.22 \text{ feet}} [/tex]

Hence, a runway of 36.22 feet is needed for the aircraft to have a takeoff speed of 215 miles per hour.

 

There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!

Answers


How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2  2/3 

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. 2/3×3/10=2/10=1/5 or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

Answer: it would be 2 3/10 pieces will be left over

After 5 months, the number of subscribers to a newspaper was 5,730. After 7 months, the number of subscribers to the newspaper was 6,022. Which equation models the number of newspaper subscribers y after x months? y = –146x – 5,000 y = 146x + 5,000 y = 146x – 5,000 y = –146x + 5,000

Answers

From the information given in the problem we can create a linear model like this: The [tex]x-axis[/tex] will represent the months and the [tex]y-axis[/tex] the subscribers. From the problem we know that after 5 months, the number of subscribers to a newspaper was 5,730, so [tex] x_{1} =7[/tex] and [tex] y_{1} =5730[/tex]. We also know that after 7 months, the number of subscribers to the newspaper was 6,022, so [tex] x_{2} =7[/tex] and [tex] y_{2} =6022[/tex].
Remember that the slope of a line is [tex]m= \frac{y_{2}-y _{1} }{ x_{2} - x_{1} } [/tex]. since we already found those values, lets replace them to find our slope:
[tex]m= \frac{6022-5730}{7-5} [/tex]
[tex]m= \frac{292}{2} [/tex]
[tex]m=146[/tex]

To create our linear model we are going to use the point-slope equation [tex]y- y _{1} =m(x- x_{1} )[/tex]. Notice that we have all the values, so the only thing left is plug them in our equation: 
[tex]y-6022=146(x-5)[/tex]
[tex]y-5730=146x-730[/tex]
[tex]y=146x-730+5730[/tex]
[tex]y=146x+5000[/tex]

We can conclude that the equation which models the number of newspaper subscribers [tex]y[/tex] after [tex]x[/tex] months is [tex]y=146x+5000[/tex]

trapezoid: b1=3 m;b2 =4m A= 7 m2 What is the missing
dimension

Answers

you are missing the height 

10 points!!!

Todd Gunderson went into a partnership with two of his friends. Manny and Jose, to share a route delivering newspapers. Manny owns 1/4 of the partnership, while Jose has a 1/5 interest. If the partnership's monthly revenue amounts to $765, how much of that is Todd's? Round to the nearest cent.

Answers

To solve you must find how much of the route todd has and multiply that by the total revenue.

Todd + Manny + Jose = 1

X + 1/4 + 1/5 = 1 

Change fractions to decimals for easier solving

x +.25 +.20 = 1

combine like terms

x+ .45 = 1

Subtract .45 from both sides

x=.55 

todd has 55% of the shares

Revinue * Todd's Percent = Todd's Shares
765*.55 = 420.75 

The length of a rectangle is 3 times the width. The difference between the length and the width is 8 feet. Determine the rectangle's length

Answers

l=length h=width
l=3h
l-h=8
3h-h=8
2h=8
h=4
Then l=3h=3×4=12

The length of the rectangle will be 12 units.

What is a rectangle?

The rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of ractangle = 2( length + width).

Let say,

Length = l   and   width = w

Given,

length of a rectangle is 3 times the width

l = 3w

The difference between the length and the width is 8 feet

l - w = 8

By equation 1 and 2

3w - w = 8

2w = 8

w = 4

Substitute into equation 1

l = 3(4)

l = 12 units.

So the length of the rectangle will be 12 units.

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The given family of functions is the general solution of the differential equation on the indicated interval. find a member of the family that is a solution of the initial-value problem. y = c1e4x + c2e−x, (−∞, ∞); y'' − 3y' − 4y = 0, y(0) = 1, y'(0) = 2

Answers

Try this option (see the attachment), if it is possible check result in other sources.

Solution:

The given differential equation is,

[tex]y=C_{1}e^{4 x}+C_{2}e^{-x}[/tex]------(A)

Differentiating once,with respect to x,

[tex]y'=4C_{1}e^{4 x}-C_{2}e^{-x}[/tex]-------(1)

Differentiating again with respect to x,

[tex]y"=16C_{1}e^{4 x}+C_{2}e^{-x}[/tex]-------(2)

Equation (1) + Equation (2)

y' +y" [tex]=20 C_{1}e^{4 x}[/tex]

[tex]C_{1}=\frac{y'+y"}{20e^{4 x}}[/tex]

4 ×Equation (1) - Equation (2)

4 y'- y"[tex]=-5 C_{2}e^{-x}[/tex]

[tex]C_{2}=\frac{4y'-y"}{-5e^{-x}}[/tex]

Substituting the value of [tex]C_{1},C_{2}[/tex] in A,we get

[tex]y=\frac{y'+y"}{20}+\frac{4 y'-y"}{-5}\\\\ 20 y=y'+y"-16 y'+4 y"\\\\ 20 y=-15 y'+5y"\\\\ 4 y+3 y'-y"=0[/tex]

As, y(0)=1 , and y'(0)=2, gives

[tex]C_{1}+C_{2}=1\\\\ 4C_{1}-C_{2}=2[/tex]

gives , [tex]5C_{1}=3\\\\ C_{1}=\frac{3}{5}\\\\ 5 C_{2}=2\\\\ C_{2}=\frac{2}{5}[/tex]

So, member of the family that is a solution of the initial-value problem, [tex]y=C_{1}e^{4 x}+C_{2}e^{-x}[/tex] is

[tex]5 y=3 e^{4 x}+2 e^{-x}[/tex]

If P(x) = 0.25, find the complement

Answers

we know that

complement = [1-original]---------------> [1-0.25]=0.75

the answer is 0.75

Janice makes 4 pizzas for dinner. There are 5 people to eat dinner. How much will each person get to eat?

Answers

Hello!

Divide the number of pizzas Janice makes by the number of people who will eat dinner.

4 ÷ 5 = 0.8

Each person will get to eat 0.8 of the pizza.

Simplify 10/16 to lowest terms and find an equivalent fraction that has a denominator of 32?

Answers

Answer:

The lowest fraction for [tex]\frac{10}{16}[/tex] is [tex]\frac{5}{8}[/tex] and a equivalent fraction with denominator of 32 is [tex]\frac{20}{32}[/tex].

Step-by-step explanation:

First, to have the fraction to the lowest terms we will have to divide the numerator and denominator by 2, this is:

[tex]\frac{10/2}{16/2}=\frac{5}{8}[/tex]

As can be seen the expression couldn't be simplified more because there is no a common number that could divide the numerator and denominator.

Second, to have an equivalent fraction with 32 in the denominator we will have to multiply the denominator by 2 and of course the numerator, this is:

[tex]\frac{10*2}{16*2}=\frac{20}{32}[/tex]

The lowest fraction for [tex]\frac{10}{16}[/tex] is [tex]\frac{5}{8}[/tex] and a equivalent fraction with denominator of 32 is [tex]\frac{20}{32}[/tex].

Final answer:

To simplify 10/16 to lowest term, it becomes 5/8. An equivalent fraction of 5/8 with 32 as the denominator is 20/32.

Explanation:

To simplify 10/16 to its lowest term, we have to find the greatest common divisor of 10 and 16, which is 2. Hence, when we divide both the numerator and the denominator by 2, we get 10/2 = 5 and 16/2 = 8. So, the fraction 10/16 simplified to its lowest term is 5/8.

Now, to find an equivalent fraction with 32 as the denominator, we need to multiply both the numerator and the denominator of 5/8 by the same number so as not to change the value of the fraction. Here, we multiply by 4 (since, 8*4 = 32) to get 5*4 = 20 on the numerator. Therefore, an equivalent fraction of 5/8 with 32 as the denominator is 20/32.

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Consider the quadratic equation x2=4x-5. How many solutions does the equation have

Answers

the quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
[tex]\bf x^2=4x-5\implies x^2-4x+5=0 \\\\\\ \begin{array}{lcccll} & 1 x^2& -4 x& +5&=0\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array} \\\\\\ discriminant\implies b^2-4ac= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]

now, plugging in those values for the discriminant, we'd get

(-4)² - 4(1)(5).

A store charges 7% sales tax. Which expression can be used to find the total cost of an item with a price of p? 0.07p 0.93p 1.07p 7.00p

Answers

If you have an item that costs 10 dollars and a sales tax of 7% you could do it this way


10 * 7/100 = 0.70 dollars.


The total cost is 10.70 dollars. or 10 dollars and 70 cents.

The best way to do the total however is to multiply the cost by 1.07. You will get the number the customer has to pay.

10 * 1.07 = 10.70

So for any price (p) it would be 1.07*p

Answer:

1.07p

Step-by-step explanation:

The tax  equals the price times the tax rate

We know the price p and the tax rate 7%

tax = p*7%

Changing this to decimal form

tax = .07p

The  final price of the item is the sales tax plus the price

final price = tax + price

                   .07p +p

                  1.07p


Use the following figure to answer the question. 1 and 4 are _____ angles. corresponding vertical supplementary adjacent

Answers

The two angles are vertical angles because they are on opposite sides of two intersecting lines.
Hope this helps! Have a blessed day!

Answer:

vertical angles

Step-by-step explanation:

We need to identify ∠1 and ∠4 are which type of pair of angles .

Since we are given the options :

1, correspoding angles: Corresponding Angles

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

2. vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross), NOT up/down

3. supplementary angles : Two Angles are Supplementary when they add up to 180 degrees

4. adjacent angles:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

Thus according to definitions ∠1 and ∠4 are vertical angles

what is 0.080 as a fraction

Answers

Answer:

To write 0.080 as a fraction you have to write 0.080 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.080 = 0.080/1 = 0.8/10 = 8/100

So your final answer is:  0.080 as a fraction equals 8/100

Step-by-step explanation:


The decimal number 0.080 as a fraction is A = 2/25

Given data:

The decimal number is represented as 0.080

Step 1: Count the number of decimal places in the given decimal. So, there are three decimal places.

Step 2: Write the decimal as the numerator of the fraction. The decimal 0.080 becomes the numerator 80.

Step 3: Determine the denominator of the fraction. Since there are three decimal places, the denominator should be 10 raised to the power of the number of decimal places. So, the denominator is 10³ = 1000.

Putting it all together, 0.080 as a fraction is 80/1000.

Dividing both the numerator and denominator by 40:

80 ÷ 40 / 1000 ÷ 40 = 2/25

Hence, 0.080 as a simplified fraction is 2/25.

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Help!!!!!!!!!!!!!!!!!!!!!!!


please ty

c:

Answers

Use the formula for the area of a triangle, and fill in the given information.
.. A = (1/2)*b*h
.. 36 in^2 = (1/2)*b*(9 in)
.. (72 in^2)/(9 in) = b . . . . . . . . multiply by 2, divide by 9 in
.. 8 in = b

The base is "none of the above", 8 inches.

_____
This question has a couple of problems:
.. 1) area is not measured in "inches"; it is measured in "square inches."
.. 2) ALL of the offered answer choices are INCORRECT.

What is the inverse of f(x) 3^sqrt x-4

Answers

well, you need the equationL: y=3+√x−8. than order to find the inverse function, we have to switch the variables x and y and then solve for y..

The inverse of f(x) = ∛(x-4) is  f(x)³ + 4.

What is inverse of function?

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.

Given:

We have the equation,

f(x) = ∛(x-4)

Let y = ∛(x-4)

In order to find the inverse function, we have to solve for y :

y =  ∛(x-4)

y³ = (x-4)

x = y³ + 4

or, x = f(x)³ + 4

Therefore,  f(x)³ + 4 is the inverse function.

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What is the area of this figure?
Enter your answer in the box.

PLEASE HELP ASAP!!! IF CORRECT YOU WILL GET 10 POINTS AND MARKED AS BRAINLIEST AS SOON AS I CAN!!!

Answers

Try this solution:

1. The final formula for the area of the figure is: A=A₁+A₂, where A₁ - the area of the square (its side is 18m) and A₂ - area of the triangle (the base is (8+18)m., height is 16 m.)

2. Using all the data in the formula above:

A=18*18+0.5*16*(8+18)=324+8*26=324+208=532 m².


answer: 532

if the parent function is square root of x, describe the translation of this function square root x+7

Answers

The function [tex] y=\sqrt{x} [/tex] sits with its starting point at the origin. The function [tex] y=\sqrt{(x-h)}+k [/tex] is translated h units to the left or right and k units up or down. Since our radicand, the value under the square root sign, is x+7, putting that into our standard form it would be x-(-7) because minus a negative is a positive. So we move the parent graph to the left (-7 moves to the left) 7 units. There is no number k so our function is not moving up or down. Only to the left 7.

The gandhara region is the home of many portrayals of ____.

Answers

BUDDHA. It is a cold climate region where many BUDDHA carvings, with simplistic  garments and appearance can be seen. This also exemplifies Gandhara art work that is usually influenced by roman empire.

Michael will be travelling out of town for business. During his travel, he is scheduled to have 4 dinners, 5 lunches, and 3 breakfasts. His employer will pay him for these meals at the following rate: $ 22.65 for dinner, $ 10.95 for lunch, and $ 6.53 for breakfast.

Answers

one dinner = 22.65
4 dinners = 22.65 x 4 = $90.60

one lunch = 10.95
5 lunches = 10.95 x 5 = $54.75

one breakfast = 6.53
3 breakfasts =  6.53 x 3 = 19.59

Total = $90.60 +  $54.75 + $19.59  = $164.94

The low temperature in Leroy’s town one day was -4. The difference between the high temperature and the low temperature that day was 6. The equation h-(-4)=6 can be used to find h, the high temperature in the town that day in degrees Fahrenheit. What was the high temperature in the town that day, in degrees Fahrenheit?

Answers

6-4=2 The high temperature was 2 degrees Fahrenheit 
2 is correct I just took the test 

Determine the rigid transformations that will map ΔABC to ΔXYZ.

a. Translate vertex B to vertex Z; reflect ΔABC across side AB.
b. Translate vertex X to vertex C; rotate ΔXYZ to align the sides and angles.
c. Reflect ΔABC across side AB; translate vertex C to vertex X.
d. Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Answers

Solution: The correct option is d, i.e., Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Explanation:

we know that the sum of angles of a triangle is always [tex]180^{\circ}[/tex]. In ΔXYZ,

[tex]\angle X +\angle Y +\angle Z=180^{\circ}[/tex]

[tex]35^{\circ} +\angle Y +47^{\circ}=180^{\circ}[/tex]

[tex]\angle Y +82^{\circ}=180^{\circ}[/tex]

[tex]\angle Y =98^{\circ}[/tex]

In both triangles it is noticed that the sides AC and XZ are equal. In given triangles [tex]\angle A =\angle X=35^{\circ}[/tex] and [tex]\angle B =\angle Y=98^{\circ}[/tex].

By AAS rule of congruence ΔABC and ΔXYZ are congruent triangles, therefore we can transform ΔABC to ΔXYZ. For the transformation of ΔABC to ΔXYZ translate the vertex having same angle and rotate the triangle to align the sides and angles.

Since vertex X and vertex A have same angle, therefore we translate vertex X to vertex A and rotate ΔXYZ to align the sides and angles.

Hence the correct option is d.

Answer: d

Step-by-step explanation:

Lisa and Frank shared 1/3 pound of cherries equally what fractional part of a pound did each person receive?
Answer: 0.3333

Part A.
Molly wrote the following quotation to solve the problem: 2 . 1/3 = n.
Do you agree with Molly's equation? Support your answer with information from the problem.

Answers

If there are 2 people sharing 1/3 lb, the answer is not 0.3333. 

1/2 * 1/3 = 1/6 = 0.167

1/2 * 1/3 = n = 0.167

Answer with explanation:

1)

If we divide 1/3 pounds equally among two people then each of them will get a share of:

[tex]\dfrac{1}{2}\times \dfrac{1}{3}\\\\=\dfrac{1}{6}\\\\=0.1666\ pounds[/tex]

Hence,the given answer that each will get 0.3333 pounds is incorrect.

2)

Molly wrote the following quotation to solve the problem: 2 . 1/3 = n.

This is an incorrect equation since this equation does not represent the half share of 1/3 pounds.

It represents the double amount of 1/3 pounds.

Which undefined term is needed to define an angle????

Answers

POINT WASNT AN OPTION ON MY TEST. THE ANSWER WAS PLANE. THE ANSWER CAN BE POINT, LINE, OR PLANE.

Answer:

Line

Step-by-step explanation:

A line is a undefined term used to define a angle. An angle is the corner that is created where two non-parallel lines meet/ intersect


Grace has 2 cups of strawberries and plans to divide this amount into equal parts to make 3 strawberry pies. What fraction of a cup of strawberries will be used for each pie?

Answers

The whole number of cups 2 will be divided by 3 pies leaving a fraction of
[tex] \frac{2}{3} [/tex]
cups for each individual pie.

Number of cups of Strawberries are there for 3 pies =2

Now we apply unitary method here to find how many strawberries are need for 1 pie.

Number of cups of Strawberries required for 1 pie = 2/3

Answer: So Grace would require 2/3 cups of Strawberries for making one pie.

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