the length of a rectangle is 9 inches less than twice the width. if the perimeter of the rectangle is 84 inches, find the dimensions of the rectangle.

Let Angle A = X

Since Angle B is the same, angle B is also X

Then angle C = X +45

Add the 3 angles together: X +X +X +45 = 3x+45

That equals 180 degrees:

3x+45 = 180

Subtract 45 from both sides:

3x = 135

Divide both sides by 3:

X = 135/3

X = 45

Angle A = 45

Angle B = 45

Angle C = 45+45 = 90

[tex]0.000+0.300+0.020+0.006[/tex] is the expanded form of 0.326

(2 x 10000000) + (0 x 1000000) + (7 x 100000) + (6 x 10000) + (9 x 1000) + (0 x 100) + (3 x 10) + (3 x 1)

is that the question?

the square root of 9 would be 3. as 3 x 3 =9

the square root of any number is asking what number times itself will give you the given number you are trying to square root. for example, the square root of 36 would be 6, as 6 x 6 = 36. I hope this helped

Doing a square root of one digit numbers is just multiplying by 2 so 18 is your answer.

When, a rectangle has an area of 364.5cm² if it’s length is 27 cm. Then, the perimeter of the rectangle is 81 cm.

To find the perimeter of a rectangle when the area and the length are known, first calculate the width using the area formula. The area of a rectangle is given by the formula Area = length x width. Given that the area is 364.5 cm² and the length is 27 cm, the width can be found as follows:

Width = Area / Length = 364.5 cm² / 27 cm = 13.5 cm

Once you have both the length and width, the perimeter can be calculated using the formula Perimeter = 2 x (length + width). So, the perimeter would be:

Perimeter = 2 x (27 cm + 13.5 cm) = 2  x 40.5 cm = 81 cm

Hence, the perimeter of the rectangle is 81 cm.

2. Tom's brother saw Muscle Fitness, which offers $20 off of the $80 fee. Membership is $15 a month plus another $5 a month.

First, solve the one time fee

$80 - 20 = $60

Next, solve the monthly fee

15 + 5 = 20

(a) The expression: Let x = month

20x + 60

(b) Remember the previous question.

Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month.

(a) Write a expression to represent the membership cost of Platinum Gym for x months.

Let x = months

20x + 60 is your expression

No. In fact, it will be the same. Waiving the $20 off the one-time fee would give the same amount of one-time payment, 60. Membership and Mandatory equipment maintenance would also add up to $20 a month.

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

hope this helps

 x = 2

22x = 44

22x/ 22 = 44 / 22         -Divide both sides by 22

x = 2

Hope this helps! If so, please mark brainliest!

[tex]22x[/tex][tex]= 44[/tex]

Part 1

For the given equation [tex]3x-2y=-18,[/tex] complete the table:

1) when x=0, then

[tex]3\cdot 0-2y=-18,\\ -2y=-18,\\ y=9;[/tex]

2) when y=0, then

[tex]3x-2\cdot 0=-18,\\ 3x=-18,\\ x=-6;[/tex]

3) when x=2, then

[tex]3\cdot 2-2y=-18,\\ -2y=-24,\\ y=12;[/tex]

4) when x=4, then

[tex]3\cdot 4-2y=-18,\\ -2y=-30,\\ y=15.[/tex]

Therefore, the table is

[tex]\begin{array}{ccccc}x&0&2&4&-6\\y&9&12&15&0\end{array}[/tex]

With these data you can plot the graph of the function (see 1st diagram).

Part 2

The graph of the function y=4x is represented in the second diagram. The slope of the line is m=4.

One Solution: Simplify to get 5x+4=5x+4

The equation 4x + x + 4 = 8x - 3x + 4 has infinitely many solutions.

To solve the equation 4x + x + 4 = 8x - 3x + 4, we first simplify both sides

5x + 4 = 5x + 4

Next, we subtract 5x from both sides:

4 = 4

Since the equation simplifies to a true statement (4 = 4), this means that the equation is true for any value of x.

Hence, the equation has infinitely many solutions.

Read more about equation at

https://brainly.com/question/37064750

#SPJ3

Answer:

Option (B)

Step-by-step explanation:

because twenty-two cents per ounce is less than twenty-five cents per ounce.

y = 0.22x is better option.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given are two option, $4 for 16 ounces and  y = 0.22x

Option B will be better, because twenty-two cents per ounce is less than twenty-five cents per ounce.

Hence, y = 0.22x is better option.

For more references on equation, click;

https://brainly.com/question/29538993

#SPJ2

Julie's age based on the scenario given cab be obtained by using the equation ; j + 2j - 6 = 36

Let :

Julie's age = j ________(1)

Helga's age = 2j - 6 ____(2)

Sum of their ages = 36

Hence, to find Julie's age, j we can use the equation :

(1) + (2) = 36

j + (2j - 6) = 36

j + 2j - 6 = 36

To find Julie's age, we can use the equation ;

j + 2j - 6 = 36

3j - 6 = 36

3j = 36 + 6

3j = 42

j = 42 / 3

j = 14

Hence, Julie's age is 14 years.

Learn more : https://brainly.com/question/18796573

Multiply the 0.00070080 by 10, 4 times, making it a 7.008. When you multiply each time by 10 it moves the decimal point to the right one time. To keep the number the same you put x10 to the 4th power next to the 7.008. This makes your answer 7.008x10 to the negative 4th power.

Hope I could help! :)

17,000 is the answer

6 is the thousand digit and we always want to round when we do thousands to the nearest hundred and since she rounded it to the nearest hundred first it should look like this 16,500 then rounded to the nearest thousand is 17,000 we always round up when we have a number more then 5 and round down less than 5.

Answer:

Complex looking (not mathematical term)... I think it's real?

52i + 7.5 = 59.5i

(I'm  probably wrong)

Step-by-step explanation:

Answer:

complex

Step-by-step explanation:

I think the answer is D, because P is the new price, n is the original price, then you multiply 0.25 by the original price and then subtract it by the original price.

-10 > -2

Hope this helped hun

- Laura <3

So you use the point slope stuff.

y-y=m(x-x)

To find the slope, subtract two y values over two x values that are also sibtracted in the same order.

IN this case, you could do (-4 - 23)/-5 - 10

Which is 9/5

So now you plug in the x and y values (doesnt matter which point)

y+4=9/5(x+5)

Make it slope intercept form

y=9/5x-13

Final answer:

To find the height of the mountain, the tangent of the angle of elevation is multiplied by the distance to the base of the mountain. With an angle of 23°29' and a distance of 16,194.6 feet, the height of the mountain is approximately 7,026 feet.

Explanation:

To find the height of the mountain when Bob is 16,194.6 feet from the mountain's base and the angle of elevation is 23°29', we can use trigonometry, specifically the tangent function which is the ratio of the opposite side to the adjacent side in a right triangle.

Steps to Solve:

Convert the angle 23°29' to decimal degrees: 23° + 29'/60 = 23.483°.

Use the tangent function: tan(angle) = opposite side/adjacent side, where the adjacent side is the distance from Bob to the base of the mountain and the opposite side is the height of the mountain.

Calculate the height: height = tan(angle) * distance to the base.

Substitute the known values and solve: height = tan(23.483°) * 16,194.6 feet.

Using a calculator, tan(23.483°) ≈ 0.4338. Multiplying this by 16,194.6 gives us approximately 7026.03668 feet.

Therefore, the height of the mountain to the nearest foot is 7,026 feet.

positive = greater than 0.

Therefore we have the inequality:

[tex]x-7 > 0[/tex]       |add 7 to both sides

[tex]x > 7[/tex]

8 trips the plane can take between cities before running out of fuel.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Total gas available 65000 gallons round down as 60000

Gas is consumed between New York and Los Angeles = 7460 round-up as 7000

The number of trips from New York and Los Angeles = 60000/7000 = 8.57.

Since the number of trips should be a whole number so 8 will be the correct answer.

Hence "8 trips the plane can take between cities before running out of fuel".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

The length is 5.7 feet.

Step-by-step explanation:

A rectangle has a width of 7.9 feet and a perimeter of 27.2 feet.

Let the length be = x

Perimeter is given by :

[tex]P=2(L+W)[/tex]

We get;

[tex]27.2=2(x+7.9)[/tex]

=> [tex]27.2=2x+15.8[/tex]

=> [tex]2x=11.4[/tex]

Dividing both sides by 2 to get x;

x = 5.7 feet

Hence, length is 5.7 feet.

600t = 480(18 – t) should be it

Answer:

Option D. 600t = 480( 18-t )

Step-by-step explanation:

An airplane flew at an average rate of 600 miles per hour fro Tokyo to Seattle.

Let the airplane travels for t hours so distance covered by the airplane will be = speed × time

    = 600t miles

Similarly, average speed in return trip was 480 mile/hour. So distance covered in return trip = speed × time

= 480 ( 18-t ) [ since time taken by plane in round trip was 18. So time taken in return trip will be ( 18-t) ]

Therefore, distance traveled in one trip = distance covered in return trip

600t = 480( 18-t )

Option D is the answer.

The point (-4,15) is found in the second quadrant, where x-values are negative (here, -4) and y-values are positive (here, 15) in the Cartesian coordinate system.

The point (-4,15) lies in the second quadrant of the Cartesian coordinate system. In the second quadrant, the x-coordinate is negative and the y-coordinate is positive. This is because the Cartesian coordinate system is divided into four quadrants based on the signs of the x (horizontal) and y (vertical) values: Quadrant I (positive x, positive y), Quadrant II (negative x, positive y), Quadrant III (negative x, negative y), and Quadrant IV (positive x, negative y).

Answer:

  The interest rate = 6 %

Explanation:

We have  I = prt, where I represents simple interest, p represents principal, r represents interest rate, and t represents time in years.

 Here principal, p = 200 $

          Number of years , t = 3

        Interest received, I = 36$

       We need to find rate of interest.

Substituting

       36 = 200 x r x 3

      r = [tex]\frac{36}{200*3}[/tex]= 0.06 = 6%

  The interest rate = 6 %

Answer:20%

Step-by-step explanation:

Let r represent rate of interest.

We have been given that Mika invested $200 into a certificate of deposit. After 6 months, the balance was $220.

We will use simple interest formula to solve our given problem.

I = Amount of interest,

P = Principal amount,

r = Rate of interest in decimal form,

t = Time in years.

First of all, we will find amount of interest by subtracting $200 from $220 as:

6 month = 1/2 year = 0.5 year

Upon substituting our given values in simple interest formula, we will get:

Upon dividing both sides by $100, we will get:

Since interest rate is given in decimal, so we will multiply 0.2 by 100 to convert our answer in percentage.

Therefore, the interest rate on the deposit was 20% and option B is the correct choice.

Solution

[tex](\frac{1}{4} )^{-2} - 5^{0.2} .1^{-1}[/tex]

Using the exponents rule, we get

[tex]4^{2} - 1.38 . 1[/tex]

= 16 - 1.38

= 14.62

The answer is 14.62

Thank you.

Answer: It is just 14 !!!

Step-by-step explanation: when taking a test you just right it as 14.

Answer:

yes they are equivalent

answer is 2720

solution below

First, converting R percent to r a decimal

r = R/100 = 4.5%/100 = 0.045 per year.

solving our equation:

A = 2000(1 + (0.045 × 8)) = 2720  

A = $2,720.00

the total amount accrued, principal plus interest, from simple interest on a principal of $2,000.00 at a rate of 4.5% per year for 8 years is $2,720.00

the awnser is 38/56 you first find a number that 8 and 7 both go into witch is 56 then you add 24/56 and 14/56 witch becomes 38/56 and simplyfies to 19/28

Find common denominators:

[tex]\frac{3}{7}[/tex] = [tex]\frac{24}{56}[/tex]  [tex]\frac{2}{8}[/tex] = [tex]\frac{14}{56}[/tex]

Add:

[tex]\frac{38}{56}[/tex]

Simplify:

[tex]\frac{19}{28}[/tex]