You want to place a towel bar that is 10 1/4 inches long in the center of a door that is 26 1/3 inches wide. How far should you place the bar from each edge of the door

Answers

Answer 1

Answer: If the bar is in the center of the door then we know that there is the same amount of space on each side of the bar. Call this space 's'. This is what we need to find. We also know the total width of the door and the total length of the bar. With this info we can set up and equation to represent the relationship:

$s=(26(1)/(3) - 10(1)/(4))/(2)$

and then solve for s. This is easer to do if we convert the two fractions to a common base and rearrange the equation so that instead of dividing by 2, we instead multiply by 1/2:

$s=26(4)/(12) - 10(3)/(12) * (1)/(2) = 13(1)/(12) * (1)/(2) = (193)/(12) * (1)/(2) = (193)/(24) = 8 (1)/(24)inch$

Related Questions

Solve the system by using a table.{-0.2x-0.3y=0.2{0.4x-0.3y=1.4a.)(2,2)b.) (2,-2)c.)(2,1)D.)(-2,2)
Complete the equation to show two equivalent expressions.g2 – 4g – 21 = (g – )(g + )
At noon, the minute and hour hands overlap. In how many hours will they overlap again?
Hi, so I think I got this right but do you have to put a negative symbol anywhere or just leave it how it is? number 12 (sorry is blurry my back camera is broken)
I need help with that

Suppose that milk costs $5.25 per gallon and 1 quart is needed in a recipe. What is the approximate cost? A) $1.05 B) $1.25 C) $1.50 D) $2.10

Answers

Answer:

Step-by-step explanation:

4 quarts gives you a gallon

so 1 quart gives you 1/4 a gallon

5.25 times 1/4 (in other words 0.25)

1.3125

closer to B) 1.25

How do you solve 13y^2-5yx-8x^2

Answers

Answer:

(13y+8)(y-x)

Step-by-step explanation:

13 $y^(2)$ - 5yx -8 $x^(2)$

we can solve above equation by using splitting the middle term

we can factorize it by splitting the middle term

13 $y^(2)$ - 5yx -8 $x^(2)$

=13 $y^(2)$ - 13yx+8yx -8 $x^(2)$

=13y(y-x)+8x(y-x)

=(13y+8)(y-x)

There are the two factors because the degree of the polynomial is 2

Hence, the correct answer is (13y+8)(y-x)

Step 1 :Simplify 13y2-5yx - 23x2
1.1 Factoring 13y2 - 5yx - 8x2 Try to factor this multi-variable trinomial using trial and error Found a factorization : (y - x)•(13y + 8x)
Final result : (y - x) • (13y + 8x)

Suppose that you have a $2,000 balance on a credit card with a 7.99% annual interest rate, and you can afford to pay $150 per month toward this debt. a. Find the amount of time it takes to pay off this debt. Give your answer in months and years.
b. Calculate the total amount paid over the life of the debt.

Answers

Answer:

loan is paid in 1 year 3 months

total amount paid over life = $2101.35

Step-by-step explanation:

given data

balance = $2,000

annual interest rate = 7.99%

afford to pay = $150 per month

solution

we apply formula for amount of time to pay off debit is

$amount(1+ (rate)^t) - principal( (1-(1+rate)^t)/(-rate) )$ = 0 ...........1

here rate is $(0.0799)/(12)$ per month

and t is time that is find here

put here all value

$2000(1+ ((0.0799)/(12))^t) - 150( (1-(1+(0.0799)/(12))^t)/(-(0.0799)/(12)) )$ = 0

$(1+ (0.0799)/(12))^t ((799)/(9000) - 1 ) = -1$

take log both side

t × log ( $1+ (0.0799)/(12)$ ) = - log ( $(8201)/(9000)$ )

t = 14.009

so loan is paid in 1 year 3 months

and

total amount paid over life of debit is

total amount paid over life = $14.009 × 150

total amount paid over life = $2101.35

I need my homework done in about the next hour. i just need someone to find X

Answers

Answer: x=62

Step-by-step explanation: Using the definition of supplementary angles, 118+x=180, or 180-118=x. This is because a straight line is 180 degrees.

Y=x-3 and 2x-4y=8 can you help me please

Answers

$\left\{\begin{array}{ccc}y=x-3\n2x-4y=8\end{array}\right\n\nsubtitute\ y=x-3\ to\ the\ second\ equation:\n\n2x-4(x-3)=8\n2x-4(x)-4(-3)=8\n2x-4x+12=8\n-2x+12=8\ \ \ \ |subtract\ 12\ from\ both\ sides\n-2x=-4\ \ \ \ |divide\ both\ sides\ by\ (-2)\n\boxed{x=2}\n\nput\ value\ of \x-2\ to\ the\ equation\ y=x-3:\ny=2-3=-1\n\nAnswer:\boxed{x=2\ and\ y=-1}$

$y=x-3\n2x-4y=8\n\n2x-4(x-3)=8\n2x-4x+12=8\n-2x=-4\nx=2\n\ny=2-3\ny=-1$

Help Please !What polynomial identity should be used to prove that 133 = 125 + 8?

Difference of Cubes

Difference of Squares

Square of Binomial

Sum of Cubes

Answers

The answer is Sum of Cubes.

Since there is sign +, we expect it to be the sum. Among all choices, only the last one includes summation, and that is sum of cubes.

Let's check it out.
Sum of cubes can be expresses as:
a³ + b³ = (a + b)(a² - ab + b²)

Let's see what are cube roots of 125 and 8:
∛125 = ∛5·5·5 = ∛5³ = 5 ⇒ a = 5
∛8 = ∛2·2·2 = ∛2³ = 2 ⇒ b = 2

Now, let's implement that in the equation of sum of cubes:
5³ + 2³ = (5 + 2)(5² - 5·2 + 2²)
125 + 8 = 7 · (25 - 10 + 4)
133 = 7 · 19
133 = 133

Therefore, sum of cubes is the right answer.

Other Questions

Chen spins the spinner and rolls a standard number cube. Find the probability that’s the spinner will stop on blue and the cube will show four. Write the probability as a fraction in simplest form. (Spinner shows 4 quarters, all different colors. Yellow, orange, red and blue.)

Your portfolio has provided you with returns of 8.6 percent, 14.2 percent, -3.7 percent, and 12.0 percent over the past four years, respectively. what is the geometric average return for this period?

A worker at a computer factory can assemble 8 computers per hour. How long would it take this worker to assemble 200 computers?A.8 hB.20 hC.25 hD.200 h

Solve the equation for y(x-3)^=4y-12