If the length of a room is 18 feet, how long should it be on a scale drawing
where 1 in. = 2 ft.?

Answers

Answer 1

Answer:

9 in.

Step-by-step explanation:

Proportions:

1 in ⇔ 2 ft

R in ⇔ 18

R = 18*1/2

R = 9 in

Answer 2
9 in
18/2 = 9
So fit to scale is 9 inches

Related Questions

please please answer this question now
با )​

Answers

Answer:

43/90

Step-by-step explanation:

We want to express 0.47777... as a ratio of two integers. To do so, we need to multiply by 10^n, where n is the number of repeating decimals. Only 7 is repeating so we multiply 0.47777... by 10. The trick to do this is to let x=0.47777... In other words, what we are doing is the following:

[tex]x=0.47777...\\10x=4.7777....\\\text{Subtract x}\\10x-x=4.7777...-x\\9x=4.7777...-0.4777...\\9x=4.3\\x=4.3/9=43/90=0.4\overline{7}[/tex]

For all x, 5-3(x-4)=?

Answers

Answer:

the answer that i find is 17-3x

Question. 7 Let abc be a three-digit number. Then, abc + bca + cab is not divisible by (a) a + b + c (b) 3 (c) 37 (d) 9

Answers

Answer:

D. 9

Step-by-step explanation:

Let

abc=100a+10b+c

bca=100b+10c+a

cab=100c+10a+b

abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)

=100a + 10b + c + 100b + 10c + a + 100c + 10a + b

Collect like terms

=100a + a + 10a + 10b + 100b + b + c + 10c + 100c

=111a + 111b + 111 c

Factorise

=111(a+b+c)

abc + bca + cab = 111(a+b+c)

Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)

abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)

abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)

abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)

abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)

a piece of paper is 5.5 x 10^-4 inches thick. If jennifer has 35 such pieces,how thick is the whole stack? Write your answer in standard form.

Answers

Answer:

T = 0.01925 m

Step-by-step explanation:

It is given that,

Thickness of a piece of a paper is [tex]5.5\times 10^{-4}\ m[/tex]

Total number of pieces are 35

We need to find the thickness of the whole stack. It is simply a case of unitary method.

For 35 pieces, thickness is :

[tex]T=35\times 5.5\times 10^{-4}\\\\T=0.01925\ m[/tex]

So, the thickness of the whole stack is 0.01925 metres.

A jar contains only red, white and blue marbles. The number of red marbles is 4/5 the number of white ones, and the number of white ones is 3/4 the number of blue ones. If there are 470 marbles in all, how any of them are blue?
•120
•200
•150
•184


Answers

Answer:

200

Step-by-step explanation:

i multiplied the answer choices by the fractions and 200 was the one that checked out

I WILL GIVE BRAINLEST PLEASE HELP
Which of the following is an example of the difference of two​ squares?
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.

Answers

Answer:

A

Step-by-step explanation:

In this question, we are concerned with selecting which of the options best represents the difference of two squares.

Let’s have an exposition below as follows;

Consider two numbers, which are perfect squares and can be expressed as a square of their square roots;

a^2 and b^2

where a and b represents the square roots of the numbers respectively.

Inserting a difference between the two, we have;

a^2 - b^2

Now by applying the difference of two squares, these numbers will become;

a^2 - b^2 = (a + b)(a-b)

So our answer out of the options will be that option that could be expressed as above.

The correct answer to this is option A

Kindly note that;

x^2 -9 can be expressed as x^2 - 3^2 and consequently, this can be written as;

(x-3)(x + 3)

Dos secretarias deben escribir el mismo número de cartas. La primera escribe 2 cartas por hora y la otra, 5 cartas por hora. Si la primera ha empezado 6 horas antes que la segunda. ¿Cuántas horas
trabajó la primera?
Ayuden!!

Answers

Answer:

El número de horas que trabajó la primera secretaria es de 10 horas

Step-by-step explanation:

Los parámetros dados son;

El número de letras que la primera secretaria puede escribir por hora = 2 letras

El número de letras que el segundo secretario puede escribir por hora = 5 letras

Dado que la primera secretaria comenzó 6 horas antes que la segunda secretaria, tenemos;

Sea el tiempo en horas en que ambas secretarias habrán escrito el mismo número de letras = [tex]t_e[/tex]

2 × [tex]t_e[/tex] + 2 × 6 = 5 × [tex]t_e[/tex]

2 × [tex]t_e[/tex] + 12 = 5 × [tex]t_e[/tex]

12 = 5 × [tex]t_e[/tex] - 2 × [tex]t_e[/tex] = 3 × [tex]t_e[/tex]

12 = 3 × [tex]t_e[/tex]

3 × [tex]t_e[/tex] = 12

[tex]t_e[/tex] = 12/3 = 4 horas

El número de horas que trabajó la primera secretaria = Tiempo de inicio anticipado + Tiempo que le toma a la segunda secretaria que comenzó 6 horas más tarde y a la primera secretaria que había estado escribiendo durante 6 horas (inicio anticipado) escribir la misma cantidad de cartas

El número de horas que trabajó la primera secretaria = 6 + 4 = 10 horas.

Por lo tanto, el número de horas que trabajó la primera secretaria = 10 horas.

HELPP NEEDED ASAP PLEASE.
There are 20n members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If n is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?

Answers

Answer:

The maximum number of people that can be in the Trumpington marching band is 940 people

Step-by-step explanation:

The number of members = 20·n

The number per row = 26

The number left = 4

Therefore, we have;

If there are x rows of 26, we have;

26 × x = 20·n - 4

We have;

26 × x < 996

26 × x < 20·n

20·n < 996 therefore, 20·n ≤ 980

We check that 980/26 = 37  and some fractions

26 × 37 = 962 which will leave a remainder of 2

Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n  is 0 which will live 4 members out to get to the next 10 as follows;

26 × 36 = 936 while 20 × 47 = 940

We get 940 - 936 = 4 members

Therefore, the maximum number of people that can be in the Trumpington marching band = 940.

How many times larger is the value of
86,000,000 than 8,600?

Answers

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.

A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180ft of fencing on three sides of the yard. The quadratic equation A=−2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.

Answers

Answer:

a) length x = 45ftb) maximum area = 4050 ft²

Step-by-step explanation:

Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0

If A=−2x²+180x

dA/dx = -4x + 180 = 0

-4x + 180 = 0

Add 4x to both sides

-4x + 180 + 4x = 0 + 4x

180 = 4x

x = 180/4

x = 45

Hence the length of the building that should border the yard to maximize the area is 45 ft

To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x

A = -2(45)²+180(45)

A = -2(2025)+8100

A = -4050 + 8100

A = 4050 ft²

Hence the maximum area of the yard is equal to 4050 ft²

The standard normal curve shown below models the population distribution of a random variable. What proportion of the values in the population does not lie between the two z-scores indicated on the diagram? z = -1.2 z = 0.85

Answers

Answer:

31.28%

Step-by-step explanation:

The z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. If the raw score is above the mean then the z score is positive while if the raw score is below the mean then the z score is negative. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given the z score z = -1.2 z = 0.85. From the normally distribution table, the probability that a value falls between z = -1.2  and z = 0.85 = P(z < 0.85) - P(z < -1.2) = 0.8023 - 0.1151 = 0.6872

The proportion of values that do not fall between z = -1.2 and z = 0.85 = 1 - 0.6872 = 0.3128 = 31.28%

What collateral secures a mortgage?
O A.
5% of the purchase price of the house
B.
the house itself
C.
10% of the purchase price of the house
D.
none​

Answers

I believe the answer is B, the house itself.

Answer:

The House

Step-by-step explanation:

A bank is offering 5.5% simple interest on a savings account. If you deposit $15000, how much interest will you earn in six year?

What is this question asking for?

What Kinda Interest?

Answers

Answer:

a. $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

Step-by-step explanation:

a. We want to calculate the amount of interest to be earned in six years

To calculate this, we use the formula for simple interest.

Mathematically;

Simple interest I = PRT/100

Where P is the principal which is the amount deposited = $15,000

R is the rate which is 5.5%

T is the time which is 6 years

Substituting these values in the simple interest formula, we have

I = (15,000 * 5.5 * 6)/100 = $4,950

b. The question is asking us to calculate the simple interest that would be earned on the deposited amount for the given number of years at the given interest rate

c. Simple interest

question : 4(3x + 2) -6 x 6

Answers

Answer:

x= 24

Step-by-step explanation:

open the bracket

4×3x =12x + 4 × 2 =8

12×+ 8-6×6

12×+ 12

x= 24

Answer:

12x - 28

Step-by-step explanation:

Because of PEMDAS you start with the parentheses and distribute the 4.

So,

(12x + 8) -6 x 6

Then, solve for the 6's

(12x + 8) -36

Remove the parentheses

12x + 8 - 36

Lastly, you get

12x - 28.

This is as far as you can go because there is no equals sign so you cannot actually solve for x.

Please help asap. I will give a thanks, rate your answer and mark the brainliest one too!

The formula v^2 - u^2 = 2as is used to model a moving object, where: u= starting speed (m/s) v = final speed (m/s) a = acceleration (m/s²) s = distance travelled (m) A car stops at some traffic lights. It then accelerates at 2.3 m/s² until it reaches a speed of 13.6 m/s. Find the distance, s, that it has travelled since stopping at the lights. Give your answer correct to 1 decimal place.

Answers

Answer:

s = 40.2 m

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 0 m/s

Final speed of the car, v = 13.6 m/s

Acceleration of the car, a = 2.3 m/s²

We need to find the distance, s, that it has travelled since stopping at the lights. For this, we will use third equation of motion as :

[tex]v^2-u^2=2as[/tex]

s is distance

[tex]s=\dfrac{v^2-u^2}{2a}\\\\s=\dfrac{(13.6)^2-0}{2\times 2.3}\\\\s=40.2\ m[/tex]

So, the distance covered by the car is 40.2 meters.

Help me figure this out, I don’t understand

Answers

Answer:

0,3

1,1

-1,1

-2.55, -10

2.55, -10

Step-by-step explanation:

It's asking for you to graph it and figure out points from the equation.

What you can do is subsitute values for X and solve for Y or use a graphing calculator. I used desmos, an online calculator and looked for coordinates. Also the +3 is the y intercept, which means y is 3 when x is 0.

i need help :( please answer

Answers

Answer:

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

Step-by-step explanation:

[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex]

[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]

[tex] = - \frac{1}{81} [/tex]

I hope it helps

Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,2)

Answers

Answer:

y - 2 = -2/9( x - 8)

Step-by-step explanation:

hope this helps

let me know if u need more help

Answer:

y - 2 = -2/9(x - 8) or y - 4 = -2/9(x + 1)

Step-by-step explanation:

find slope first

(2 - 4)/(8 - -1) = -2/9

y - 2 = -2/9(x - 8)

55.5% repeating as a decimal ​

Answers

Answer:

55.5 ÷ 100 = 0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

Answer:

55.5% = 0.555

Step-by-step explanation:

55.5% = 55.5/100 = 0.555

Solve the following non-linear system of equations algebraically.
y = - 2x² - 4x + 5 and
y = 2x^2 + 4x + 5

Answers

Answer:

x = -2

Step-by-step explanation:

since y is common in both equations, you can equate them to be equal

-2x² - 4x + 5 = 2x² + 4x + 5

4x² + 8x = 0

factor out 4x

4x(x + 2) = 0

divide both sides by 4x

x + 2 = 0

x = -2

1: The best statement for reason 6 of this proof is -∠A ≅ ∠C
-∠B ≅ ∠D
-∠B and ∠D are supplements
-∠B ≅ ∠B

2.The best reason for statements 3.5. and 7 in this proof is
- Alternate interior angles are congruent.
-Corresponding angles are congruent.
-Alternate exterior angles are congruent.
-Interior angles on the same sides of a transversal are supplements.

3. The best statement for reason 8 of this proof is
-∠B ≅ ∠B -∠A and ∠C are supplements.
-∠B ≅ ∠D
-∠A ≅ ∠C

Answers

Answer:

1) -∠B ≅ ∠D

2) -Interior angles on the same side of a transversal are supplementary

3) -∠A ≅ ∠C

Step-by-step explanation:

1) Given that ∠A and ∠B are supplements and ∠A and ∠D are supplements, we have; ∠B ≅ ∠D

2)  Given that ABCD is a parallelogram, therefore ∠A and ∠B,  ∠A and ∠D and ∠B and ∠C  are interior angles on the same side of a transversal and are therefore supplementary

3) Given that ∠A and ∠B and ∠B and ∠C are supplementary, therefore, ∠A ≅ ∠C.

Find the product of 0.3×0.23

Answers

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

Find the sum of 29,the product of 2 and 9 and the difference between 2 and 9

Answers

Step-by-step explanation:

Sum means adding of numbers

Product means multiplying the numbers

Difference means minus two numbers

First number is 2 and other number is 9.

Sum of 2 and 9 = 2+9 = 11

Product of 2 and 9 = 2×9 = 18

Difference between 2 and 9 = 9-2 = 7

Hence, this is the required solution.

Select all of the numbers that are correctly written in scientific notation. 10.8\times10^{-3}10.8×10 −3 0.54\times10^60.54×10 6 1\times10^{-4}1×10 −4 7.6\times10^{2.5}7.6×10 2.5 9.8\times10^59.8×10 5

Answers

Answer:

1×10⁻⁴ and 9.8×10⁵

Step-by-step explanation:

The standard form of writing a scientific notation is expressed as [tex]a.b*10^n[/tex] where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.

Based on the above conclusion, the following numbers are correctly written in scientific notation.

1×10⁻⁴ and 9.8×10⁵

- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.

- Also, 0.54×10^6 is not correctly written because a is zero on comparison

- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.

Complete the square.
3x^2-12x=96

Answers

Answer:

x = 8 and -4

Step-by-step explanation:

3x² - 12x = 96

3(x² - 4x +  4 = 32 + 4)

3[(x - 2)² = 6²]

x - 2 = +/- 6

x = 8

x = -4

x equals 8 and x also equals -4
x=8
x=-4

In the expression 3x2 + y -5, which of the following terms does not have a variable?
A.3x2
B. y
A
C. -5
D. None of these choices are correct.

Answers

Answer:

A, C

Step-by-step explanation:

Only B is containing a variable .

The  -5 is not variable.

We have given that,

A.3x2

B. y

A

C. -5

In the expression 3x^2 + y -5

We have to determine which of the following terms does not have a variable.

What is the variable?

variable, In algebra, a symbol stands in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).

Only C contains a variable.

The  -5 is not variable.

To learn more about the variable visit:

https://brainly.com/question/2804470

#SPJ2

sandra is playing a trivia game.on her first turn she lost 75 points. on her second turn,she lost 35 points. on her third turn,she scored 100 points. What is sandras score after three turns?

Answers

Answer: -10 points

Step-by-step explanation:

She lost 110,so that loss -the gain(100) is the total score at the end of three games

A man gave his 8000$ as pocket money and his son 1000$ less.Express the girls money as a percentage of the total sum of money.​

Answers

Answer:

About 89%

Step-by-step explanation:

8000 + 1000 = 9000.

To find the girls money as a percentage of the total sum of money, you must take 8000 and divide it by 9000.

8000/9000 = .8888 = 88.88 = 88.9% or about 89%.

Kameryn flips a coin, rolls a 6-sided die, and then spins an 8-section
spinner. How many possible outcomes are there?

Answers

Answer:

96 possible outcomes

Step-by-step explanation:

2 x 6 x 8 = 96

Need help pls will give you a good rating.

Answers

Answer:

x+4

.....................

Answer

[tex] \boxed{x + 4}[/tex]

Option C is the correct option

Step by step explanation

Let's find the expression which represents the length of the box:

[tex] \mathsf{length \times width \times height \: of \: prism \: = \: volume \: of \: prism}[/tex]

[tex] \mathsf{lengh \times \: (x - 1) \times (x + 8) = {x}^{3} + 11 {x}^{2} + 20x - 32}[/tex]

[tex] \mathsf{length = \frac{ {x}^{3} + 11 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]

Write 11x² as a sum

[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]

Write 20x as a sum

[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)}}[/tex]

Factor out x² from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)} }[/tex]

Factor out 12 from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32x - 32 }{(x - 1)(x + 8)} }[/tex]

Factor out 32 from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32(x - 1) }{(x - 1)(x + 8)} }[/tex]

Factor out x+1 from the expression

[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 12x + 32) }{(x - 1)(x + 8)} } [/tex]

Factor out 12x as a sum

[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 8x + 4x + 32) }{(x - 1)(x + 8)} }[/tex]

Reduce the fraction with x-1

[tex] \mathsf{ = \frac{ {x}^{2} + 8x + 4x + 32 }{(x + 8)} }[/tex]

Factor out x from the expression

[tex] \mathsf{ = \frac{x(x + 8) + 4x + 32}{(x + 8)} }[/tex]

Factor out 4 from the expression

[tex] \mathsf{ = \frac{x(x + 8) + 4(x + 8)}{x + 8} }[/tex]

Factor out x+8 from the expression

[tex] \mathsf{ = \frac{(x + 8)(x + 4)}{x + 8} } [/tex]

Reduce the fraction with x+8

[tex] \mathsf{ = x + 4}[/tex]

hence, x+4 is the expression that represents the length of a box.

Hope I helped!

Best regards!

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