Your mom wants to replace the window shutters on your house with farmhouse shutters like pictured. Each window takes two shutters. The shutters measure 18 in x 36 in. Both shutters need a diagonal piece of wood cut to fit. What is the total amount of wood needed for each of the two diagonal pieces?

Answer:

x = -7

Step-by-step explanation:

-2x - 3x = -5x

so then its -5x - 15

you then add 15 to both sides which gives you -5x = 35

divide -5 from each side to get the answer

-7 = x

Step-by-step explanation:

-2x - 3x -15 = 20

-5x = 20 + 15

-5x = 35

x = 35/-5

x = -7

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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The value of s - t is 2.

It is given in the question that:-

s = 1/4 and,

t = -1.75

We can convert the decimal form of t in the fractional form.

-1(3/4) = -7/4

Hence, according to the data given in the question we can write,

s - t = (1/4)-(-7/4) = (1+7)/4 = 8/4 = 2.

Decimal

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

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Answer:

d.

Brand C, Brand A, Brand B

Step-by-step explanation:

To find the unit price, we divide the price by the number of pounds.

Brand A: $1.48 for 2.5 pounds

Unit price of:

\(\frac{1.48}{2.5} = 0.592\)

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

907.18/453.59 = 2 pounds

Unit price of:

\(\frac{1.3}{2} = 0.65\)

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

50/16 = 3.125 pounds

Unit price of:

\(\frac{1.55}{3.125} = 0.496\)

From lowest to highest unit price:

C, A and B, so option d.

Answer:

D

Step-by-step explanation:

Unit prices are ratios, so you can add the two prices together and divide by the smaller unit price to get a usable number.

Answer:

3

Step-by-step explanation:

Answer:

none of the above

Step-by-step explanation:

4x + 7 = x + 2

4x - x + 7 = x - x + 2

3x + 7 = 2

3x + 7 - 7 = 2 - 7

3x = -5

3x / 3 = -5 / 3

x = -5 / 3 = -1.667

5x - 8 = x + 4

5x - x - 8 = x - x + 4

4x - 8 + 8 = 4 + 8

4x = 12

4x / 4 = 12 / 4

x = 3

3x + 2 = 5x + 2

3x - 5x + 2 = 5x - 5x + 2

-2x + 2 = 2

-2x + 2 - 2 = 2 - 2

-2x = 0

x = 0

Integers, As a whole number that can be written without a remainder,

x = 3

x = 0

(Mixed) Fraction

x = -5 / 3 = -1.667

The  explicit formula for the arithmetic sequence is -20n + 30

The nth rule of an arithmetic sequence is expressed according to the equation below;

Tn = a+(n-1)d

where

a is the first term = 10

d is the common difference = -10-10  = -20

Substitute

Tn = 10 + (n-1)(-20)

Tn = 10+(-20n+20)
Tn = 10 - 20n +20
tn = -20n + 30

Hence the  explicit formula for the arithmetic sequence is -20n + 30

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Both balls will strike the ground simultaneously, but the faster ball will do so farther away from the table.

The unit g stands for gravitational acceleration. At sea level, the standard value of g on earth's surface is 9.8 m/\(s^{2}\)

They will strike the ground simultaneously if the table and the ground are both flat.

It is customary to divide an object's motion into a vertical component and a horizontal component. While they are on the table, neither of the balls is moving vertically. Both balls begin to accelerate downward as soon as they leave the table due to the effects of gravity. Given that both balls experience the same acceleration from gravity, they will fall at the same rate and with the same downward velocity.

Both balls will strike the ground simultaneously, but the faster ball will do so farther away from the table.

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Answer:

6-2x

Step-by-step explanation:

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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Answer:

18 ft

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

144 = 8w

Divide each side by 8

144/8 =w

18 =w

Answer:

(3x² + 8x)sin x + (4x² - 6x)cos x

Step-by-step explanation:

d/dx (4x^2sin x - 3x^2cos x) =

= 4x² × d/dx sin x + sin x × d/dx 4x² - (3x² × d/dx cos x + cos x × d/dx 3x²)

= 4x² × cos x + sin x × 8x + 3x² × sin x - cos x × 6x

= 4x² cos x + 8x sin x + 3x² sin x - 6x cos x

= (3x² + 8x)sin x + (4x² - 6x)cos x

Answer:

Domain: set of possible input values (x-values)

Range: set of output values (y-values)

The range for the function \(f(x)=-2|x-5|+8\) is:

\(f(x)\leq 8\)

(5, 8) is the vertex of the line

Because |x - 5| is absolute (so always positive) and it is multiplied by -2,

-2|x - 5| will always be negative unless x = 5 (when it will be zero).  Therefore, the max y-value is 8.

However, your question actually asked what the function is when x = -5:

\(f(-5)=-2|x-5|+8\\\\= -2|-5-5|+8\\\\= -12\)

Step-by-step explanation:

Thats the all rhe answers step by step

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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Answer:3/4 * 1/5 = 3/20 = 0.15

Step-by-step explanation:Multiple: 3/

4 * 1/5 = 3 · 1/4 · 5 = 3/20

Multiply both numerators and denominators. The result fraction keep to the lowest possible denominator GCD(3, 20) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three quarters multiplied by one-fifth is three twentieths.

Answer:

The answer is B

Step-by-step explanation:

i got 100%

The limit g(x) is that g(x) = -4 and Lim g(x) = 2.

It should be noted that a graph simply means a diagram that shows the relationship between the numbers of measurements.

In this case, from the graph, it can be seen that limit g(x) is that g(x) = -4 and Lim g(x) = 2.

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Answer: r = 7

Step-by-step explanation:

Subtract 12 from both sides to isolate the r variable. You have -42 = -6r. Divide both sides by -6 to get r by itself and you get r = 7. Verify by substituting 7 as the r value and solving the equation.

Answer:

r=7

Step-by-step explanation:

First subtract 12 from both sides

Now you have -42=-6r

Next divide each side by -6

Now you have 7=r

And that is your answer

Answer:

The answer is 35/3. I hope it helps you....

Answer:

\(\frac{35}{3}\)

Step-by-step explanation:

I hope this helps!

By definition, a point has the following form:

Where "x" is the x-coordinate (which can be positive or negative) and "y" the y-coordinate (which can be positive or negative).

You can see in the Coordinate plane given in the exercise, that the points W, V, S and R are plotted.

You have the point:

You can identify that x-coordinate and the y-coordinate of this point are:

Then, since the x-coordinate is positive and the y-coordinate is negative, the point is located in this Quadrant:

Therefore, based on the above, you can identify that:

The answer is: Option A.

So, we have the expressions:

Lets try to find the firsts numbers of this sequence:

If we continue the sequence, we can see the we can use the followed formula:

To find the 30th number of the sequence, we just need to put 30 in the local of n:

So, our 30th number of the sequence is 205.

Using the frequency table, it is found that:

a) 99.2% of the group of eggs were less than 24.75 mm long.

b) 0.471 = 47.1% probability that one of the eggs selected at random was at least 21.75 mm long but less than 24.75 mm long.

The frequency table gives the percentage of cuckoo bird eggs with the associated lengths.

Item a:

Thus, 100 - 0.8 = 99.2% were less than 24.75 mm long.

Item b:

In total:

\(37.9 + 28.5 + 10.7 = 47.1\)

47.1% of the eggs are in these lengths, thus, 0.471 = 47.1% probability that one of the eggs selected at random was at least 21.75 mm long but less than 24.75 mm long.

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Answer:

5cm^2

Step-by-step explanation:

l=5 w=2

Area= 5×2

=10cm^2

Area of triangle= 10/2

=5cm^2

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Answer:

Step-by-step explanation:

The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

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Answer:

  27 years

Step-by-step explanation:

The formula for the number of payments can be used:

  N = -log(1 +0.05(1 -1000000/65000))/log(1.05) +1 = 27.03

There will be a couple thousand dollars left after the 27th payment.

The winnings will last 27 years.