A floor plan shows the area of a room is 271.25 square feet. if the room is 15.5 feet wide, how long is it?

Answers

Answer 1

Final answer:

The length of the room is calculated by dividing the area of 271.25 square feet by its width of 15.5 feet, resulting in a length of 17.5 feet.

Explanation:

To find the length of the room given its area and width, we will divide the area by the width. The formula for finding the area of a rectangle is Area = length × width. So, to find the length, we can rearrange this formula as length = Area ÷ width, which means dividing the given area by the width.

We know the area of the room is 271.25 square feet and the width is 15.5 feet. So the calculation for the length will be:

Length = 271.25 sq ft ÷ 15.5 ft

Length = 17.5 ft

Therefore, the length of the room is 17.5 feet.

Related Questions

When applying for a loan, you should _____.

Answers

you should also have a little money saved aside so that you can pay them the money you saved and then work for the rest of the money you need to pay off

sorry if im incorrect

When multiplying numbers in scientific notation you blank the coefficients and substract the exponents?

Answers

For the sake of example, let's multiply the two numbers [tex]2.3 \times 10^5 [/tex] and [tex]3.5 \times 10^7[/tex] together. Altogether, we have:

[tex]2.3\times10^5\times3.5\times10^7[/tex]

Rearranging the expression, we can group the exponents and coefficients together:

[tex]2.3\times3.5\times10^5\times10^7[/tex]

Multiplying each out, we notice that since [tex]10^5[/tex] and [tex]10^7[/tex] have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

[tex]2.3\times3.5\times10^{5+7}=8.05\times10^{12}[/tex]

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and adding its exponents.

If you shift the linear parent function, f(x) = x, down 6 units, what is the equation of the new function?

A. g(x) = x + 6
B. g(x) = x
C. g(x) = 6x
D. g(x) = x – 6

Answers

Answer:

Option D is correct

[tex]g(x) = x-6[/tex]

Step-by-step explanation:

Vertically down :

If y =f(x) is a parent function, then the new function g(x) b units vertically down is, g(x) = f(x) -b.

As per the statement:

Given the parent function:

[tex]f(x) = x[/tex]

To shift linear parent function vertically down 6 units.

By definition we have;

g(x) = f(x) -6

⇒[tex]g(x) = x-6[/tex]

Therefore, the equation of new function g(x) is, [tex]g(x) = x-6[/tex]

Randy is twice as old as his sister jane. together the sum of their ages is 15. how old is randy?

Answers

Final answer:

Randy is 10 years old.

Explanation:

The question is about solving a simple algebraic equation involving ages.

We are told Randy is twice as old as his sister Jane, and the sum of their ages is 15 years.

If we let Jane's age be represented by 'j', then Randy's age would be '2j' as he is twice as old as Jane.

The equation to represent the sum of their ages is:

j + 2j = 15

To find Jane's age, we combine the like terms:

3j = 15

Now, we divide both sides of the equation by 3 to isolate 'j':

j = 15 / 3

j = 5

Therefore, Jane is 5 years old. To find Randy's age, we multiply Jane's age by 2:

Randy's age = 2 * Jane's age

Randy's age = 2 * 5

Randy's age = 10

So, Randy is 10 years old.

The sum of 6 consecutive odd numbers is 204. What is the fourth number in this sequence?

Answers

204 /6 = 34

29 +31 +33 + 35 +37 +39 = 207

4th number = 35

The fourth number is 35

Rational Exponent
Explain why the square root of a number is defined to be equal to that number to the 1/2 power.

Answers

The concept of radicals and radical exponents is tricky at first, but makes sense when we look into the logic behind it.

When we write a radical in exponential form, like writing √x as x^(1/2), we are simply putting the power of the radical in the denominator (bottom number) of the exponent, and the numerator is the power we raise the exponent to, or the power that would be inside the radical.
In our example, √x is really ²√(x¹), or the square root of x to the first power. For this reason, we write it as x^(1/2).

Let's say we wanted to write the cubed root of x squared, in exponential form.
In radical form, it would look like this:
³√(x²) . This means we square x, and then take the cubed root.
In exponential form, remember that we take the power of the radical (3), and make that the denominator of the exponent, and keep the numerator as the power that x is raised to (2).
Therefore, it would be x^(2/3), or x to the 2 thirds power.

Just like when multiplying by a fraction, you multiply by the numerator and divide by the denominator, in exponential form, you raise your base number to the power of the numerator, and take the root of the denominator.

Answer:

Sample Response:

Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

Step-by-step explanation:

What is f(-4) if f(x)=|7x-3|

Answers

Substitute the given into the function

f(-4) = |7(-4) - 3|
now solve
f(-4) = |-28 - 3|
f(-4) = | -31|
the absolute value of |-31| is 31
so,
f(-4) = 31

Hope this helps :)

f(-4) means subsitute -4 for every x you see in the function

f(-4)=|(7(-4)-3|
f(-4)=|-28-3|
f(-4)=|-31|

|-31| means absolute value of -31 which just takes the distance the number is from 0 (or makes it positive if it is negative and leaves it alone if it is positive)

|-31|=31
f(-4)=31

If y = 2x - 3, then which of the following ordered pairs lies on the graph?

Answers

2,3 would be one of the odered pairs that you could use, unless the answers are different than that. Hope I was a help to you!

If inflation is 4% a year compounded annually, what will it cost in 20 years to buy a house currently valued at $75,000.00?

Answers

1.04^20=2.2
75000*2.2=$164334 as the value of the house in 20 years
☺☺☺☺

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The cost of the house in 20 years valued currently at $75,000 is $1,64,250.

What is compound interest?

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

The formula for amount compounded anually:

A = P [tex](1 + \frac{R}{100})^{n}[/tex]

We have,

Principal = $75,000

Rate = 4%

Time = n = 20 years

The amount after 20 years:

A = P [tex](1 + \frac{R}{100})^{n}[/tex]

A = 75,000 [tex](1 + 0.04)^{20}[/tex]

A = 75,000 x [tex]1.04^{20}[/tex]

A = 75,000 x 2.19

A = $1,64,250

Thus,

The cost of the house in 20 years valued currently at $75,000 is $1,64,250.

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Please help me i really need help

Answers

f(5) = 12230.590464
f(10) = 9972.48954
9972.49/12230.59 = .815
1 - .815 = .185
every 5 years it loses 18.5% of it's value.

Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?

Answers

divide 6000 by 3

6000 / 3 = 2000

so he can do 2000 sq ft per hour

The answer by musiclover10045 is correct - 2000 is the answer. I got it right on my quiz.

What is the function

Answers

The graph shows us that the slope of f(x) is -2. Now we gotta find the slope of g(x) to compare it to that of f(x). The equation of g(x) is in slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept), so the slope is given to us for that one as well: it's -6. A line with a slope of -6 will be steeper than a line with a slope of -3, therefore the answer is B - the slope of f(x) is less than the slope of g(x).
Hope this helps.

which of these ordered pairs is a solution to the inequality 4x+y>-6

Answers

The ordered pair is (1, -1) a solution to the inequality 4x+y>-6. which is the correct answer would be option (C).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We must determine if the inequality holds for a certain set of ordered pairs in order to determine which ordered pairs constitute the answer to the inequality.

We have been given inequality is:

⇒ 4x + y > -6

Option (A) (1, -12)

⇒ 4x + y > -6

Substitute x = 1 and y = -12 in the inequality, we get

⇒ 4(1) + (-12) > -6

⇒ -8 > -6

This is false.

Option (B) (0, -9)

⇒ 4x + y > -6

Substitute x = 0 and y = -9 in the inequality, we get

⇒ 4(0) + (-9) > -6

⇒ -9 > -6

This is false.

Option (C) (1, -1)

⇒ 4x + y > -6

Substitute x = 1 and y = -12 in the inequality, we get

⇒ 4(1) + (-1) > -6

⇒ 3 > -6

This is true.

Hence, the correct answer would be an option (C).

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Graph each equation by using the x- and y-intercepts

Answers

You have the correct graph. Plug in y = 0 and solve for x to get x = -3. Do the same for x = 0 and solve to get y = -3.

x intercept = -3 which is the point (-3,0)
y intercept = -3 which is the point (0,-3)

Nice job on getting the correct graph with the correct points.

Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the graph. Which statements are true about the cost of the apples?

Which statements are true about the cost of the apples?

Select each correct answer

1 lb of apples will cost Zack $2.50.

10 lb of apples will cost Zack t $4.

4 lb of apples will cost Zack $10.

2.5 lb of apples will cost Zack $1.

Answers

Answer:

1 lb of apples will cost Zack $2.504 lb of apples will cost Zack $10

Step-by-step explanation:

The graph axesand common sense tell you that each ordered pair represents ...

(weight, cost)

So the ordered pairs (1, 2.50) and (4, 10) mean ...

1 lb of apples will cost Zack $2.50

4 lb of apples will cost Zack $10

A and C should be the correct answers if I'm not mistaken

We start with triangle ABC and see that angle ZAB is an exterior angle created by the extension of side AC. Angles ZAB and CAB are a linear pair by definition. We know that m∠ZAB + m∠CAB = 180° by the . We also know m∠CAB + m∠ACB + m∠CBA = 180° because . Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we conclude m∠ZAB = m∠ACB + m∠CBA using the .

Answers

Final answer:

To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC and use the fact that angles in a triangle add up to 180°. Angle ZAB and CAB are a linear pair, so they add up to 180°. By substitution, we can conclude that m∠ZAB = m∠ACB + m∠CBA.

Explanation:

To prove that m∠ZAB = m∠ACB + m∠CBA, we start with triangle ABC. Angle ZAB is an exterior angle created by the extension of side AC. Angle ZAB and CAB are a linear pair, which means they add up to 180°. We also know that angle CAB + angle ACB + angle CBA = 180° because the angles in a triangle add up to 180°. Using substitution, we have m∠ZAB + m∠CAB = m∠CAB + m∠ACB + m∠CBA. Therefore, we can conclude that m∠ZAB = m∠ACB + m∠CBA using the fact that the angles in a triangle add up to 180°.

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The following triangle FOX is transformed using a rotation: Triangle FOX is shown. F is at negative 1, 1, O is at negative 2, 3, X is at negative 3, 0. Which could be coordinates of F'O'X' after the rotation? (4 points)

Answers

I think it is 1,1,O but I don’t think you should believe me because I don’t know this very well

The answer is F=(1,1), O=(3,2), X=(0,3)

Calvin cleans 3/5 of his bathroom with 1/3 of a bottle of cleaning solution how much solution would he use if he cleaned the whole bathroom

Answers

The answer is: "5/9 of a bottle" .
_________________________________
Explanation:
______________________________________________
(1/3) / (3/5) = x / (5/5) ; solve for "x" ; in which "x" is the number of bottles used to clean the whole bottle;

Rewrite as:

(1/3) / (3/5) = x / (1) ;

Rewrite as: (1/3) / (3/5) = x ;

{since "x / 1 = x" ; since any value, divided by "1", results in that same value}.
_________________________________________
(1/3) / (3/5) = x

(1/3) / (3/5) = (1/3) * (5/3) = (5*1) / (3*3) = x = 5/9 .
_________________________________
The answer is: "5/9 of a bottle" .
_________________________________

The whole bathroom means 1.
Next, what we have to do is compare the statements. That will be;
3/5 of bathroom=1/3 solution
1=Y
I represented the unknown with Y
Next, you need to cross and multiply. That means 1 will multiply 1/3 to give 1/3 and Y will multiply 3/5 to give 3Y/5. So you will have;
3Y/5=1/3
Cross and multiply again. 5 will multiply 1 to give 5 and 3Y will multiply 3 to give 9Y. That will be;
9Y=5
Divide both sides by 9. That will be;
Y=5/9
The answer is 5/9 of the bottle.
Hope that helped. Have a nice day

Julie yard is rectangular.One side of the yard is 100 feet wide. The total area of the yard is 3,000 square feet. What is the length of the other side of the yard?

Answers

Area= length x width
Divide area by width to find missing side
3000➗100= 30
The other side is 3O feet .

|3x-2|+2y if x=-4,y=7,and z=-9

Answers

The answer would be 26 because you would replace all the variables making the equation be |3*-4-2|+2*7. Then you would solve the absolute value making it 12+2*7. Next solve the multiplication making the equation 12+14 making your answer 26.

What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?

y−1=4(x−3)
y+3=4(x+1)

Answers

I agree with the second answer. Was this correct?

The number 1.258201... can be classified as which of the following? Select all that apply. Real, rational, irrational, whole, integer ,natural
Its a multiple choice question

Answers

It is real and irrational.

The decimal does not terminate and the decimal pattern does not repeat, so the number can not be rationalized.

The number can be classified as both real and irrational

The given number:

= 1.258201

A real number is any number that can represent a distance along a line

A rational number is a real number that can be expressed in form a ratio, it usually have terminating decimals.

An irrational number is any real number that cannot be expressed in form of ratio, it doesn't have terminating or repeating decimals.

A whole number does not contain fractions, it is usually positive integers.

Integers are whole numbers that includes negative and positive numbers.

The given number is a real number but it doesn't contain terminating or repeating decimals. Hence it is irrational number.

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What number is 30% of 150?.

Answers

Here is your answer:

30% of 50=45

Your answer is 45 because...

150/x=100/30
(150/x)*x=(100/30)*x
150=3.33333333333*x
(3.33333333333) to get x
150/3.33333333333=x
45=x
x=45

Your answer is...
x=45

Lester has sold $51 worth of sports drinks at his concession stand today. Each drink sells for $3. He hopes to sell at least $300 worth of drinks over the course of the entire day. Let x be the number of drinks he will sell over the rest of the day. Which inequality precisely represents the condition of Lester meeting his goal?
A.51 + 3x ≥ 300
B.51 + 3x > 300
C.3x ≥ 300+ 51
D. 3x > 300 + 51

Answers

First you should evaluate the givens. We know that so far Lester has sold $51 of drinks. Every drink costs $3 and he wants to sell at least $300 worth of drinks at the end of the day. x represents the number of drinks he wants to sell, which must be at least $300. Now we can put this into an inequality.

Since Lester wants a minimum of $300, he needs the amount to be equal to or greater than 300, because if it were any less he would not meet his goal.

> 300

Every drink costs $3, and x represents the number of drinks he needs to sell to get at least $300. Multiplying 3 and x together will give us the rest of the $300 answer.

3x > 300

We cannot forget that Lester already has $51, however, so we will add this to the amount of money from the rest of the drinks he needs to sell.

51 + 3x > 300

This makes A. our final answer. I hope my explanation made sense!

Graph ƒ(x) = -x + 2. Click on the graph until the graph of ƒ(x) = -x + 2 appears.

Answers

f(x) = -x + 2 is a reflection across the x-axis and a phase shift two units up.

The last graph is correct, with the points at (0,2) and (2,0)

Answer with Step-by-step explanation:

We have to graph f(x) = -x + 2

When x=0 , f(x) = 2

When f(x)=0 , x=2

Hence, the graph passes through the points:

(0,2) and (2,0)

So, the correct graph of f(x) = - x + 2 is the last one which is shown below

50 POINTS! + BRAINLIEST! PLEASE HELP

Answers

slope = rise over run = y/x

A (-1,3) slope = 3/-1 = -3

B (1,2) slope = 2/1 = 2

C (-3,-1) slope = -1/-3 = 1/3

2 lines need to be negative reciprocals in order to be a right triangle

negative reciprocal of -3 is 1/3

so this is a right triangle

Answer: yes it is

Step-by-step explanation: put into a graph and it will become clear

Let f(x)=8^x.

Which function represents a transformation of f(x) by a vertical stretch with factor 2??

A- g(x)=1/2*8^x

B- g(x)=8^2x

C- g(x)=2*8^x

D- g(x)=8 1/2^x

Please help and give reasoning with your answer. I’m very unsure.

Answers

Final answer:

The function that represents a vertical stretch of factor 2 of f(x) = 8^x is g(x) = 2 * 8^x.

Explanation:

The function that represents a vertical stretch of factor 2 of the function f(x) = 8^x is g(x) = 2 * 8^x.

To understand why, consider that a vertical stretch by a factor of 2 means that every y-coordinate in the graph is multiplied by 2. So, if we want to stretch the function f(x) = 8^x vertically by a factor of 2, we multiply the function by 2 to get g(x) = 2 * 8^x.

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Un número entero de tres dígitos es igual a 25 veces la suma de sus dígitos. Si los tres dígitos se invierten, el número que resulta excede al número dado por 198.
El dígito de las decenas en uno menos que la suma de los dígitos de las centenas y de las unidades. Encuentra el número.

Answers

La repuesta es 375，porque 3+7+5 es 15，y 15x25 es 375. Tambien el digito de las decenas es uno menos que la suma de los digitos de las centenas y de las unidades.

The sides of a triangle are in the ratio 5:12:13. Describe the length of the shortest side is the perimeter is not more than 120 inches

Answers

5,12,13 is a triple, i.e. integer values of a right triangle. It's Perimeter is 30.
Then <= 120 yields 4 times this triple, yielding another triple of 20,48,52

A triangle has sides of lengths 6, 2, 7. Is it right triangle?

Answers

By the pythagoreans' theorem,

All right-angle triangle with the opposite squared + adjacent squared = hypotenuse squared.

6² + 2² ≠ 7²
Therefore the triangle is not a right angle triangle

Answer is B.

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