The length of a rectangle is three more than twice the width. Find the width and the length if the perimeter is 84 f

Answers

Answer 1

[tex]\text{Hello! :D}[/tex]

[tex]\boxed{\text{width = 13ft, length = 29ft}}[/tex]

[tex]\text{ Let the width = "w":}\\\\\text{Write an expression to represent the length in terms of "w":}\\\\l = 2w + 3\\\\\text{Formula of a rectangle: } \\\\P = 2l + 2w\\\\\text{Therefore:}\\\\84 = 2(2w + 3) + 2(w)\\\\84 = 4w + 6 + 2w\\\\84 = 6w + 6\\\\\text{Subtract 6 from both sides:}\\\\78 = 6w\\\\\text{Divide both sides by 6:}\\\\78/6 = 6w/6\\\\w = 13ft\\\\\text{Plug this value of "w" into the equations for the length:}\\\\l = 2(13) + 3\\\\l = 26 + 3\\\\l = 29ft[/tex]


Related Questions

The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. Please I need this right knowWrite a sentence using an adverb clause illustrating the following usage. contrast

Answers

Answer:

Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.

Step-by-step explanation:

A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?​

Answers

Answer:

Hence, the watcg must be bought at rupees 4888

Step-by-step explanation:

Let the desired selling price of the watch be x

Cost Price of the watch = 4444

We know that if Cost Price < Selling Price,

Selling Price - Cost Price = gain

When we substitute we get,

x-4444=444

x= 4888

Given the following formula, solve for t.
V = u + at.
A. t= a(v – u)
B. t = v-u/a
C. t=v+u/a
D. t =a(v + u)​

Answers

So start manipulating the formula by adding/ subtracting/ multiplying/ dividing until you get the variable you want alone.
So
V=u+at
V-u=at
t= V-u/a
The answer is B.

A group of 11 people are going to the movies one Saturday. Adult tickets cost $12.50 each and child tickets cost $7.75 each. If the total cost for admission to the movies is $109.00, how many children attended the movie?
a.) 4
b.) 5
c.) 6
d.) 7

Answers

The answer is B. 5 !!

Answer: c=6

Step-by-step explanation: $12.50 x 5 adults = $62.50. $7.75 X 6 children = $46.50. $62.50 + $46.50 = $109

ashley spends $12 to buy 3 pencils and 6 rulers. Jack spends $8 to buy 5 pencils and 2 rulers. what is the cost of 2 pencils and 2 rulers?

Answers

Answer:

$ 3 left ashley money

$ 1 left  jacks money

$ 8 left ashley money

$ 4 left jacks money

Step-by-step explanation

3 pencils + 6 rulers = 12 - 9 = 3

5 pencils +  2 rulers = 8 - 7 = 1

12 - 4 = 8

8 - 4 = 4

Answer:

I am guessing 2 rulers are two dollars and 2 pencil are 4 dollars

CAN SOMEONE HELP ME? You just have to check if I'm right and I need the answer to 13 plzzz?? It would be greatly appreciated! I will give you a brainest!! It is geometry.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠GMP  and ∠AMP  are linear pair

∠EPM  and ∠CPM are linear pair

6(m+2)+6m=-5(-7m-7) Solve for m.

Answers

Answer:

m = -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m = -1

☽------------❀-------------☾

Hi there!

~

Let's solve your equation step-by-step.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

Step 1: Simplify both sides of the equation.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

[tex](6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)[/tex] (Distribute)

[tex]6m+12+6m=35m+35[/tex]

[tex](6m + 6m)+(12)=35m + 35[/tex] (Combine Like Terms)

[tex]12m + 12 = 35m + 35[/tex]

[tex]12m + 12 = 35m + 35[/tex]

Step 2: Subtract 35m from both sides.

[tex]12m + 12 - 35m = 35m + 35 - 35m[/tex]

[tex]-23m + 12 = 35[/tex]

Step 3: Subtract 12 from both sides.

[tex]-23m + 12 - 12= 35 - 12[/tex]

[tex]-23m = 23[/tex]

Step 4: Divide both sides by -23.

[tex]\frac{-23m}{-23} = \frac{23}{-23}[/tex]

[tex]m = 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Rewrite in simplest terms: -5a – 86-8a + 1)

Answers

Answer:

- 13a - 85

Step-by-step explanation:

Given

- 5a - 86 - 8a + 1 ← collect like terms

= (- 5a - 8a ) + (- 86 + 1)

= - 13a + (- 85)

= - 13a - 85

Answer:

-13a - 85

Step-by-step explanation:

Collect the like terms

-5a -8a =  -13a

Then calculate the sum

-86 + 1 =  -85

and then you get your answer

-13a - 85

Write the equivalent expression (5x-3x2)-(5x-2)×(10x+7x2)in standard form:​

Answers

Answer:

-35x³ - 39x² + 25x

Step-by-step explanation:

Step 1: Write out expression

(5x - 3x²) - (5x - 2)(10x + 7x²)

Step 2: Distribute/Expand

5x - 3x² - (50x² + 35x³ - 20x - 14x²)

Step 3: Combine like terms

5x - 3x² - (36x² + 35x³ - 20x)

Step 4: Distribute negative

5x - 3x² - 36x² - 35x³ + 20x

Step 5: Combine like terms

-35x³ - 39x² + 25x

Answer:

WAIT standard .?

Step-by-step explanation:

what examine the rotation. which best describes point D​

Answers

Answer:

center of rotation

Step-by-step explanation:

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?

Answers

Answer:

Parallel lines requires the terms line and plane because line and plane that are parallel cannot cross each other therefore they will never make a point of intersection. The characteristics of that parallel lines consists of lines and planes. Perpendicular lines requires the terms line and point because whenever two lines intersect, it creates a point and whenever two planes intersect, it creates a line. The characteristics of that perpendicular lines are points and lines.

The characteristics of the geometric figures that create the different requirements are;

Parallel lines are lines on the same plane and that are equidistant from each otherPerpendicular lines are lines that form a 90 degree angle at the point of their intersection.

Reasons:

The characteristics of parallel lines are;

The shortest distance between the lines that are parallel is the same at all points along the lines.The lines are on the same plane.As the plane is extended indefinitely, the lines do not intersect.

The characteristics of perpendicular lines are;

Perpendicular lines are lines that intersect at a point.

Where two lines are perpendicular, the slope of one line is the negative reciprocal of the other, such that the product of the slopes of two lines that are perpendicular is -1.

The angle formed at the intersection of perpendicular lines is 90°.

An horizontal and a vertical line on the same plane are perpendicular to each other.

Therefore, the characteristics of the geometric figures that create the different requirements are;

Parallel lines are lines on the same plane.Perpendicular lines are lines that form a 90 degree angle at the point of their intersection.

Learn more about parallel and perpendicular lines here:

https://brainly.com/question/24607467

https://brainly.com/question/10253775


What is the completely factored form of xy - 4xły - 5y?

Answers

I believe it is A. y(x^2-5)(x^2+1)
I think it’s a lmk if it’s right

Write a formula for the area of the regular polygon.

Answers

Answer:

The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.

Step-by-step explanation:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The formula when solved for h will be equal to A/4b.

What is a polynomial?

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and non-negative exponentiation of variables involved.

A.)

For the given octagon, if its diagonals are made then it will be divided into 8 triangles, such that each triangle will be equal to the other.

Now, if the area of a single triangle is calculated then the area of the triangle will be,

Area of triangle = (1/2) × b × h

Further, since there are 8 triangles, therefore, the area of the octagon can be written as,

Area of octagon = Area of triangle × 8

                           = (1/2) × b × h × 8

                           = 4bh

Hence, the area of the octagon is 4bh.

B.)

The formula can be solved for h as shown below,

Area of octagon = 4bh

A = 4bh

Divide both the sides by 4b, therefore, we can write,

A/4b = 4bh/4h

h = A/4b

Hence, the formula when solved for h will be equal to A/4b.

Learn more about polynomials here:

https://brainly.com/question/27343162

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HELPP. In words, write the meaning of: √a+3

Answers

Answer:

square root of a plus 3

Step-by-step explanation:

Find the slope of the line parallel to the given line.
y= 2/5x+2

Answers

The slope of the line is negative four tenths

Slope:

[tex]\sf{\dfrac{2}{5}}[/tex]

Explanation:

Parallel lines have the same slope, so the slope of y = 2/5x + 2 will be the same as the slope of the line which is parallel to it.

The equation is written in slope-intercept form, aka y = mx + b, where m is the slope and b is the y-intercept.

In slope intercept, the slope is always the number that comes before x.

For this equation, the number in front of x is 2/5.

So, I come to the conclusion that the slope of the line parallel to y = 2/5x + 2 is 2/5.

The area of a circle is 201cm² . what is the diameter ?

Answers

The answer is 16 cm approx.

Diameter= 2[tex]\sqrt{a/pi}[/tex]

=>2[tex]\sqrt{201 / 22/7}[/tex]

=>2[tex]\sqrt{201*7/22}[/tex]

=>15.997.......

=> 16 approx

Hope this helps you!!

Answer:

The diameter of the circle  is 16

Step-by-step explanation:

[tex]\pi = 3.14[/tex]

Area = [tex]\pi r^{2}[/tex] you will have to use this formula to find the radius

[tex]\pi r^{2} = 201[/tex]   =   [tex]3.14r^{2}=201[/tex] (divide 3.14 into both sides)

[tex]\frac{3.14r^2}{3.14} = \frac{201}{3.14}[/tex]   cross out 3.14 leaves you with [tex]r^2[/tex]  and divide 201/3.14= 64.01

[tex]r^2 = 64.01\\r = \sqrt{64.01}\\r = 8[/tex]  square root 64.01 which equals 8

Diameter = [tex]2r[/tex]    2(8) = 16

To check answer use Area formula [tex]\pi (8)^{2}[/tex] = 201. 0619298

The sum of three numbers is 109. The second number is 4 times the first number and the third number is 8 less that the second number. What are the three numbers?

Answers

Answer:

I think the answers are 19, 17 and 76.

I am not sure...

Find the distance between the points (6, 9) and (0, 1).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units

Answers

Answer:

D= 10

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10[/tex]

Solve 2.5 = 6
(answer should start with x=)

Answers

Answer: x=3.5

Step-by-step explanation:

3.5 should be the answer

If ray US is an angle bisector of ∠RUT, find m∠RUT. A. m∠RUT = 80° B. m∠RUT = 40° C. m∠RUT = 20° D. m∠RUT = 10°

Answers

Answer:

Answer: m<RUT=80

Step-by-step explanation:

took the test

If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.

What is a bisector in the triangle?

The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.

What is the angle bisector formula?

According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.

Learn more about angle bisector here https://brainly.com/question/24334771

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What is the angle of elevation of the sun when a pole 32.0 ft tall casts a shadow 45.0 ft long

Answers

As you can see in the first drawing, the vertical line represents the pole which is 32.0 ft long and the horizontal line represents the shadow casted by the pole which is 45.0 ft long. The angle θ, represents the angle of elevation of the sun.

We can solve this problem using trigonometric ratios, that is sine, cosine, and tangent. Remember SOH CAH TOA?

SOH

[tex]sin = \frac{opposite}{hypotenuse} [/tex]

CAH

[tex]cosine = \frac{adjacent}{hypotenuse} [/tex]

TOA

[tex]tan = \frac{opposite}{adjacent} [/tex]

In this case, we're going to use TOA since we are given the height of the pole which represents the line opposite the angle of elevation, and the length of the shadow of the pole which represents the line adjacent to the angle of elevation.

adjacent, a = 45.0

opposite, o = 32.0

So, to find the angle of elevation, refer to the second picture above.

I don't know. can someone help please??​

Answers

Answer:

what

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

__

PQ means the whole length of PQ, same goes to the others (QR and PR)

The first option means the angles P, Q and R

The second option means the points P, Q and R

What is the same value as the expression 7/5+2 1/4+1.6

Answers

The same value as that expression would be 5.

Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less

Answers

Answer:

The 43rd day of spending $45.

Step-by-step explanation:

Let the number of days = x.

If she spends $45 per day, then in x days she spends 45x.

She starts with $2400, so 45x is subtracted from 2400.

2400 - 45x < 500

Subtract 2400 from both sides.

-45x < -1900

Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.

x > 42.2

Answer: The first day is the 43rd day of spending $45.

30 – 2а — 4) + За
Which expressions are equivalent?

Answers

Answer:

=2456

Step-by-step explanation:23456

Help me please please!!

Answers

Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2

Please Mark me as brainliest


3) Sue and Jim are driving on the highway. Sue takes 24 minutes to drive 40 km. If Jim drives
at the same rate, how long will it take for him to drive 115 km?
69 minutes

Answers

Answer:

69min

Step-by-step explanation:

sue: 24min 40km

.6 min per 1km

×115

115 km = 69 min

please help. it’s about density

Answers

1. 4 g/mL

2. 2 g/mL

3. 5 mL

4. 400g

5. 25g

6. 2 cm^3

7. 2 g/cm^3

What is the square root of 10p^3

Answers

Answer:

Factor 10 into its prime factors

          10 = 2 • 5  

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified

At the end of this step the partly simplified SQRT looks like this:

        sqrt (10p3)  

STEP

2

:

Simplify the Variable part of the SQRT

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(p3) = p • SQRT(p)  

Combine both simplifications

        sqrt (10p3) =

       p • sqrt(10p)  

Simplified Root :

p • sqrt(10p)

Use dimensional analysis to convert 9 milliliters to fluid ounces. Use 1 mL ≈ 0.034 fl oz.

Answers

Answer:

0.306 fl oz.

Step-by-step explanation:

9 mL * (0.034 fl oz / 1 mL) = 0.306 fl oz [the millilitres canceled out].

Hope this helps!

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