if you want to place an 8 1/2 inch towel bar in the center of a door that is 25 1/2 wide, how much space will be on each side of the towel bar?

After calculating the cost per square inch for both tiles, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Thus, the 6x8 tiles are cheaper.

To determine which tile is cheaper, you need to calculate the cost per square inch for each tile, and then compare them. The 6x8 tile has an area of 48 square inches (6 inches x 8 inches), and it costs $1.29. To find the cost per square inch, divide $1.29 by 48 square inches.

Cost per square inch for 6x8 tile: $1.29 / 48 = $0.026875

The 4x4 tile has an area of 16 square inches (4 inches x 4 inches), and it costs $0.99. To find the cost per square inch, divide $0.99 by 16 square inches.

Cost per square inch for 4x4 tile: $0.99 / 16 = $0.061875

Comparing these two amounts, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Therefore, the 6x8 tiles are cheaper than the 4x4 tiles.

The possible combinations of reviews and new written pieces can be represented by the inequality 60r + 120n ≥ 600.

To represent the possible combinations of reviews and new written pieces, we can use the variables r for reviews and n for new pieces.

The total earnings can be calculated by multiplying the number of reviews by $60 and the number of new pieces by $120, and this must be greater than or equal to $600.

Therefore, the inequality that represents the possible combinations is 60r + 120n ≥ 600.

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The above me is clearly wrong. However, the reason I'm not going to post an actual answer is because this post is over 2 years old and there is a good chance the they aren't even in school anymore.

Answer:

Step-by-step explanation:

The wall, fence and ladder form similar right triangles as pictured

Use the ratio of corresponding sides to solve for x, the fence height

The fence is 10.9 feet tall

Answer:

C

TOOK SAME TEST ON EDGE 2021

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3(x+6)

Step-by-step explanation:

Let [tex] l [/tex] be the length and [tex] w [/tex] be the width of the rectangle.

Given perimeter of the rectangle

[tex] 2(l+w)=34 \; l+w=17[/tex]

Area of the rectangle is

[tex] lw=52 [/tex]

Also length is 5 more than twice its width,

[tex] l=2w+5 [/tex]

From the above equations

[tex] (l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\
l-w=9,\; since \; l>w [/tex]

Now [tex] 2l=9+17=26\;,l=13,w=4 [/tex]

The dimensions of the rectangle are length [tex] l=13 [/tex], and width [tex] w=4 [/tex].

For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.

For the given case we have following values and their probabilities:

0 : 0.1

2 : x

3 : y

So the expected value will be = 0(0.1) + 2(x) + 3(y)

Expected value is given to be 2.05. So we can write the equation as:

2x + 3y = 2.05 (Equation 1)

Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:

0.1 + x + y = 1

x + y = 0.9 (Equation 2)

From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:

2(0.9 - y) + 3y = 2.05

1.8 - 2y + 3y = 2.05

1.8 + y = 2.05

y = 0.25

Using the value of y in equation 2 we get value of x to be 0.65

Therefore we can conclude that:

The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25

He goes to the gym 0, 2, or 3 days per week.  

Let's assume P(0 days)=p, P(2 days)=q, and P(3 days) = r.

So, p+q+r = 1

E(X)= E(x=0)*P(0 days) + E(x=2)*P(2 days) + E(x=3)*P(3 days)

E(X) = 0*p + 2*q + 3*r = 2q + 3r

Given is the value of P(0 days) = p = 0.1

Given is the expected value of number of days is E(X) = 2.05

Therefore, we have 0.1 + q + r = 1 and 2q + 3r = 2.05

Or, q + r = 0.9 and 2q + 3r = 2.05

Solving the two equations :-

(2q+3r)-2*(q+r) = 2.05-2(0.9)

r = 0.25

q = 0.65

Therefore, P(2 days) = 0.65 and P(3 days) = 0.25

it would cost an employee $140 to purchase the coat at the sale.

Let's break down the problem step by step:

1. The store charges $280 for the coat, which is 40% more than the amount it cost the store to buy. This means that the store's cost (let's call it ( C )) can be found by first determining what 100% of the cost is (since $280 is 140% of the cost, as 100% + 40% = 140%). We can set up the equation:

[tex]\[ 140\% \text{ of } C = $280 \]\[ 1.4C = $280 \]\[ C = \frac{$280}{1.4} \]\[ C = $200 \][/tex]

So, the store's cost for the coat is $200.

2. At the end-of-season sale, store employees can purchase any remaining coats at 30% off the store’s cost. This means they pay 70% of the store's cost. We can calculate this as:

[tex]\[ 70\% \text{ of } $200 = 0.7 \times $200 = $140 \][/tex]

Therefore, it would cost an employee $140 to purchase the coat at the sale.

The degree of the product of two polynomials p(x) and q(x) is equal to the sum of the degrees of p(x) and q(x).

The degree of the product of two polynomials p(x) and q(x) is related to the degrees of p(x) and q(x) by the following rule:

The degree of the product is equal to the sum of the degrees of the two polynomials.

For example, if p(x) is a polynomial of degree m and q(x) is a polynomial of degree n, then the product p(x)q(x) will be a polynomial of degree m+n.

To factor 1/5 out of the algebraic expression 1/5x + 29/5, we remove the common term 1/5. This leaves us with 1/5 * (x + 29), not altering the value of the original expression.

To factor 1/5 out of 1/5x+29/5, we first need to understand what factoring entails. Factoring is basically expressing an algebraic equation as a product of its factors.

Step 1: Look at the expression '1/5x + 29/5'. We can see that '1/5' is common in both terms.

Step 2: Factor out the common term, which in this case is '1/5'.

So the expression '1/5x + 29/5' factored out would be '1/5 * (x + 29)'. Throughout this process, we have not changed the value of the original expression, only rewritten it in a different form.

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