The length of a rectangle is 5 more than the width. The area is 126 square feet. Find the length and width of the rectangle.

Answer:

A. 3x+12

Step-by-step explanation:

8x+3-5x+9

8x-5x=3x

3+9=12

then put them together

3x+12

answer= A

Answer:

is your answer 6/50

Step-by-step explanation:

6/10 X 1/5 = 6/50

The computation of the increased in salary is $500.

Here, we have,

Explanation:

Data provided in the question

Salary for the first year = $50,000

CPI increase during the year = 4%

Overstated inflation = 1% i.e. 5%

The computation of the increased in salary is shown below:

= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year

= $50,000 × 5% - $50,000 × 4%

= $2,500 - $2,000

= $500

Hence, The computation of the increased in salary is $500.

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complete question:

Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.

Answer:

  168

Step-by-step explanation:

You are given one equation that can be used to solve this problem. The other equation you need is ...

  b = 82

Using this value in the given equation, you can find "a".

  10.50a +3.75b = 2071.50 . . . . . . . given

  10.50a +3.75·82 = 2071.50 . . . . . .using 82 for b

  10.50a +307.50 = 2071.50 . . . . . . evaluated

  10.50a = 1764 . . . . . . . subtract 307.50

  a = 168 . . . . . . . . . . . . . divide by 10.50

168 adult tickets were sold.

Answer:

168 Adult tickets were sold

Step-by-step explanation:

Make me brainliest

The equation √(-3x) + 55 = x - 5 has no solution in the real number system.

To solve the equation √(-3x) + 55 = x - 5, we need to isolate the variable x.

Here's how we can do it step by step:

Subtract 55 from both sides of the equation:

√(-3x) = x - 60

Square both sides of the equation to eliminate the square root:

\((\sqrt{(-3x))} ^2 = (x - 60)^2\)

\(-3x = (x - 60)^2\)

Expand the right side of the equation:

\(-3x = x^2 - 120x + 3600\)

Move all terms to one side of the equation to form a quadratic equation:

\(x^2 - 120x + 3600 + 3x = 0\)

\(x^2 - 117x + 3600 = 0\)

Solve the quadratic equation by factoring, completing the square, or using the quadratic formula.

Let's use the quadratic formula:

x = (-(-117) ± √(\((-117)^2\) - 4(1)(3600))) / (2(1))

x = (117 ± √(13689 - 14400)) / 2

x = (117 ± √(-711)) / 2

Since we have a negative value under the square root, the equation does not have real solutions.

The equation √(-3x) + 55 = x - 5 has no solution in the real number system.

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Answer:

Your answer is C

Step-by-step explanation:

If you plug each answer into a graphing calculator you should get the only right answer to be C.

Answer

x = -2

x = 1.5

x = 5

These are the x-values for which f(x) = 0.

Explanation

We are told to obtain the values of x when f(x) = 0. this means we obtain the values of x where the value of y = 0.

On the graph, this refers to the points where the curve crosses the x-axis.

From the graph, we can see that the curve crosses the x-axis at three different points.

x = -2

x = 1.5

x = 5

These are the x-values for which f(x) = 0.

Hope this Helps!!!

Answer:

$16.5

Step-by-step explanation:

25 % of 22 is 5.5

22 - 5.5 = 16.5

The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.

Given that  the original price of a DVD  is $22, that means the cost of the DVD is $22.

This week the sale on the original  price of  a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.

Here, calculate the discount on the original price of a DVD.

\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)

The discount is $5.5  on the original  price of  a DVD.

Therefore, the sale price of a DVD on this week after the discount:

\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)

Thus, the sale price of a DVD is $16.5.

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Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

y=2x+6

Step-by-step explanation:

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let assume that X and Y reflect the diameters of onions by companies A and B.

\(\to P(9<X<10) = P(\frac{9-10.3}{1.2} < Z < \frac{10-10.3}{1.2} )\\\\\)

                          \(= P(-1.0833 < Z < -0.25)\\\\= P(Z < -0.25) - P(Z<-1.0833)\\\\= 0.2620\\\\\\\)

\(\to P(9<Y<10) = P(\frac{9-10.6}{0.9} < Z < \frac{10-10.6}{0.9} )\\\\\)

                          \(= P(-1.7778 < Z < -0.6667)\\\\= 0.2148\\\\\)

As a result, onions through company A are chosen and they're more likely to be accepted.

Answer:

-14

Explanation:

3 x -3 - 5 = -14

Answer:

-14, -5, 4, and 13

Step-by-step explanation:

For each x value, substitute it for x in the equation.

For the first one where x = -3,

y = 3(-3) - 5

y = -9 - 5

y = -14

So the first one is -14. The next x value is 0

y = 3(0) - 5

y = 0 - 5

y = -5

Second one is -5. The next x value is 3

y = 3(3) - 5

y = 9 - 5

y = 4

Third is 4. The next x value is 6

y = 3(6) - 5

y = 18 - 5

y = 13

So the last one is 13.

Statement 1, 2 and 3 are correct about using the distributive property.

Expanding is the same as using the distributive property. Factoring means going from ab + ac to a(b + c).Factoring can only be done when an expression has two terms.

Statement 1: Expanding is the same as using the distributive property. The distributive property states that a(b + c) = ab + ac. When we expand an expression, we are multiplying everything out. So, expanding an expression is the same as using the distributive property. Therefore, this statement is correct.

Statement 2: Factoring means going from ab + ac to a(b + c).When we factor an expression, we are essentially undoing the distributive property. In other words, we are going from a common factor in the two terms to a product. This is exactly what happens when we factor ab + ac to a(b + c). Therefore, this statement is correct.

Statement 3: Factoring can only be done when an expression has two terms. Factoring is the process of breaking down an expression into simpler factors. However, in order to do that, the expression needs to have two or more terms. If the expression only has one term, then we cannot factor it. Therefore, this statement is correct.

Statement 4: Factoring can only be done when an expression has plus signs. This statement is incorrect. Factoring can be done when an expression has either plus signs or minus signs. For example, we can factor x² - 4 to (x + 2)(x - 2). Therefore, this statement is incorrect.

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Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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Answer:

14b

Step-by-step explanation:

Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)

Step-by-step explanation:

Generally speaking; \(cos^2x + sin^2x = 1\)

rearranging this gives us all sorts of cool things.

for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

\(cosx =- \sqrt{ 1 - sin^2x}\)

and thats the answer :)

Answer:

Step-by-step explanation:

\(\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}\)

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: C:800.B:1200.T:1600

Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.

Answer:

you can make 12 cans of them

Answer:

B

Step-by-step explanation:

Answer:

-n + 2 m + 2

Step-by-step explanation:

Simplify the following:

(-2 n + 4 m + 4)/2

Factor 2 out of -2 n + 4 m + 4:

(2 (-n + 2 m + 2))/2

(2 (-n + 2 m + 2))/2 = 2/2×(-n + 2 m + 2) = -n + 2 m + 2:

Answer:  -n + 2 m + 2

Answer:

b. Jason pays $ 3 on the $ 3 he owes in fines.

Step-by-step explanation:

an amount owing is represented as negative. the action of paying dues or making a payment is treated as positive.

therefore, Jason pays +3 to the owed 3. this, +3 -3

Answer:

---------------------------------------

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

The length is 3 feet more than twice the width (L=3+2w).

The formula for perimeter is 2L + 2W.

Step-by-step explanation:

I HOPE THIS HELPS , AMRK AS BRAINLIST