You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below shows the bedroom (left) and completed office (right). Use this diagram for Questions 3-6.

It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.

Answer:

80 miles

Step-by-step explanation:

The map scale compares the  distance between two points on the map with the corresponding distance on the ground.

That is,

[tex]\boxed{\mathfrak{map\:scale=\frac{distance\:on\:map}{distance\:on\:ground} }}[/tex]

The formula makes it pretty easy to solve!

Substituting these values in the above mentioned formula:

[tex]\implies \mathsf{\frac{1 \:inch}{20\:miles} =\frac{4\:inches}{x\:miles} }[/tex]

cross multiplying:

[tex]\implies\mathsf{x=4 \times 20}[/tex]

[tex]\implies \mathsf{x=80}[/tex]

That makes the actual distance 80 miles!

You can also use simple unitary method here:

1 inch on the map = 20 miles on the ground

∴ 4 inches on the map = 4 × 20 miles on the ground

= 80 miles on the ground

Answer:

x-9=5

Step-by-step explanation:

Answer:

2 2/5 miles

Step-by-step explanation:

Answer:

THey are countin by 2 and 5 on the graph

Step-by-step explanation:

Answer:

it is five

Step-by-step explanation:

5v-2=8 then v=x2 because 5x2=10-2=8

so 7v-9=5

The correct answer is 5

Answer:

The answer is 9

Step-by-step explanation:

Cause when we multiplied 6 to 9 the answer will be 54

Answer:

x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.

Step-by-step explanation:

Answer:

(x + 1)(x - 7) is the odd one.

Step-by-step explanation:

1) sum= 8

Product = 7

Factors = 1 , 7    {1*7 = 7  & 1+7 = 8}

x² + 8x + 7 = x² + x + 7x + 7

                 = x(x +  1) + 7(x + 1)

                 =(x +1 )(x + 7)

2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)

                      = x(x - 1) - 7(x - 1)

                     =(x - 1)( x - 7)

3)Sum = 6

Product = -7

Factors = (-1) , 7   { -1 + 7 = 6   & (-1)*7 = -7}

x² + 6x - 7 = x² - x + 7x - 7

                   = x(x - 1) + 7(x - 1)

                   = (x  - 1)(x + 7)

Answer:

(x+1)(x-7) is the odd one out

Step-by-step explanation:

A=hbb

=42· 0 x30.9

=648.9

Answer:

[tex]24.7 \div 5.2 \\ \frac{19}{4} \: \: or \: \: 4.75[/tex]

Answer:

[tex] \\ \sf24.7 \div 5.2[/tex]

[tex] \\ \sf = \frac{247}{10} \div \frac{52}{10} [/tex]

[tex] \\ \sf = \frac{247}{10} \times \frac{10}{52} [/tex]

[tex] \\ \sf = \frac{247}{52} [/tex]

[tex] \\ \sf = \frac{19}{4}[/tex]

[tex] \\ \sf = 4.75[/tex]

answer: the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24

3x7=21 and that's 3 less than 24

The answer is 3

Step-by-step explanation:

Answer:

x= -1,  y = 6,  z = 3

Step-by-step explanation:

let me solve it with Gaussian Elimination

Step-by-step explanation:

if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.

the inverse function simply tries to calculate the original x it of the original y.

and then, to make it a formal function, we rename x to y and y to x.

y = 3x³

x³ = y/3

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

=> as "regular" function

[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]

Answer:

33.333

Step-by-step explanation:

I looked up the answer

Answer:

34

Step-by-step explanation:

We actually don't care what amount of paper is white, we just need the amount per truck. If there were 2 trucks, they would each take half of the total amount of paper. If there were 3 trucks, they would each take a third of the total amount of paper. And so on for 4,5,6,etc.

For 28 trucks, they would each take a twenty-eighth of the total amount of paper. So, the amount each truck takes is just [tex]952/28=34[/tex].

So, the answer is [tex]\boxed{34}[/tex] and we're done!

Answer:

44.52

Step-by-step explanation:

Volume = b * h

base times height

The height is 8.4 inches so 8.4 *

Length is the same as base so 5.4

8.4 * 5.4

Answer:

6 ft

Step-by-step explanation:

Multiply by 2 on each side: (8*2) = (3*2)

New ratio: 16 = 6

Final answer: 6ft

Answer:

x=69/7   y=-95/7

Step-by-step explanation:

Answer:

200 mi

Step-by-step explanation:

8 times 25 mi = 200 mi

PLEEEEEEEEEAAAse mark branliest!!!

Answer:

56

Step-by-step explanation:

The probability of selecting a receipt of more than $25 is 0.33.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

For the given situation,

The amount on receipts in $, S= { 15,25,17,23,37,28 }

⇒ [tex]n(s) = 6[/tex]

The amounts are grouped as more than $25 and less than $25.

The event is the amount on receipt more than $25, [tex]e = (28,37)[/tex]

⇒ [tex]n(e)=2[/tex]

The formula to find the probability of an event,

[tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)= \frac{2}{6}[/tex]

⇒ [tex]P(e)=\frac{1}{3}[/tex]

⇒ [tex]P(e)=0.33[/tex]

Hence we can conclude that the probability of selecting the receipt of more than $25 is 0.33.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ2

Answer:

i would like to b a k e a  dan ish

Step-by-step explanation:

Answer: Do you have a pic of the question if you do give and  give brainliest for it alright

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

4x4^3/4^7

4^-3

1/4^3

1/64

Answer:

[tex] \alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta= \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \alpha +\beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 2b + 0}{2a} = \frac{ - 2b}{2a} \\ \therefore \: \alpha +\beta = - \frac{b}{a} \\ \alpha \times \beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ {b}^{2} - ( {b}^{2} - 4ac) }{4 {a}^{2} } \\ = \frac{4ac}{4 {a}^{2} } \\ \therefore \alpha \times \beta = \frac{c}{a} \\ (x - \alpha)(x - \beta) = 0 \\ {x }^{2} + (\alpha + \beta)x + \alpha\beta = 0\\\\Let \:D =\sqrt{ {b}^{2} - 4ac}\\ If \:D >0 \Rightarrow \alpha, \beta \in \mathbb R\:(2 \: real \:roots)\\ If D =0 \Rightarrow \alpha= \beta \in \mathbb R\: (one \:real\: root) \\ If D <0 \Rightarrow \alpha, \beta \in \mathbb C\:(complex\: roots)\\At least 4examples\\{(x-1)}^{2}=0\\{x}^{2}-x-1=0 \\{x}^{2}-2x+13=0\\7{x}^{2}-49x-7=0\\ Applications\\ut+g{t}^{2}=s\\a=g\\u=-\frac{b}{a}\\s=\frac{c}{a}[/tex]

Answer:

Step-by-step explanation:

1) Determining the nature of roots:

Quadratic equation: ax² + bx +c = 0

Find D (Discriminant) using the  D = b² - 4ac

If D = 0 , then the two roots are equal.

If D > 0, then the equation has two distinct real roots.

If D < 0, then the roots are complex/ imaginary.

One can find the sum and product of the roots using the below mentioned formula.

1) sum of roots = [tex]\frac{-b}{a}[/tex]

2) Product of roots = [tex]\frac{c}{a}[/tex]

If sum and product of the roots are given, one can frame the quadratic equation by   x² - (sum of roots)*x + product of roots = 0

2) i) x² - 6x + 9 = 0

a = 1 ; b = -6  and c = 9

D = (-6)² - 4 * 1 * 9 = 36 - 36 = 0

D = 0. So, two equal roots

ii) x² - 4x + 3 = 0

a = 1 ; b = -4 ; c = 3

D = (-4)² - 4 * 1 * 3 = 16 - 12 = 4

D > 0. So, two distinct real roots.

iii) x² - 4x - 3 = 0

a = 1 ; b = -4 ; c = -3

D = (-4)² - 4*1*(-3) = 16 + 12 = 28 > 0

D > 0. So, two distinct real roots.

iv) x² - 4x + 7 = 0

a = 1 ; b = -4 ; c = 7

D =(-4)² - 4 *1 *7 = 16 - 28 = - 12

D< 0. So, two imaginary/ complex roots.

Answer:

a. y=4

b. graph the given and y=4

Step-by-step explanation:

The given is y= 8 sin(x) cos(x)

to get y' which is the slope of the tangent line we take the derivative

for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')

thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))

-8sin^2(x)+8cos^2(x)

You can also leave the 8 differentiated out depending on the form you need.

Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point

=8sin^2(pi/4)+8cos^2(pi/4)

this would equal -8*1/2 +8*1/2 which equals 0

the slope of the tangent at this point would be zero

To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)

this means the point slope equation would be

y-4=0(x-pi/4)

y-4=0

y=4

To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)

Answer:

Rate : 45m/s

Distance: 900 m

Step-by-step explanation:

1km/h = 1000m/3600s

= 5/18 * 162 = 45m/s

45 * 20 = 900

Answer:

2700 more eggs were ordered