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Semmy [17]
3 years ago
6

The length of a rectangle is one unit shorter than one-sixth of the width x which expression represents the perimeter of the rec

tangle
Mathematics
2 answers:
wlad13 [49]3 years ago
8 0
Hi,

L = (1/6)x - 1

P = 2x + 2L = 2x + (2/6)x - 2

P= (7/3)x - 2

x being the width.


Hope this helps!
marta [7]3 years ago
8 0

Answer:

The expressions represents the perimeter of the rectangle is  \frac{7}{3}x-2 .

Step-by-step explanation:

Let the width of the rectangle be x

We are given that The length of a rectangle is one unit shorter than one-sixth of the width x

Length of the rectangle = \frac{1}{6}x-1

Perimeter of rectangle = 2(Length +Breadth)

                                      = 2(\frac{1}{6}x-1+x)

                                      = 2(\frac{7}{6}x-1)

                                      = \frac{7}{3}x-2

Hence The expressions represents the perimeter of the rectangle is  \frac{7}{3}x-2 .

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5y-3y+1=7<br><br> solve for y
Juli2301 [7.4K]

Answer:

y=3

Step-by-step explanation:

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

5y−3y+1=7

Step 1: Simplify both sides of the equation.

5y−3y+1=7

5y+−3y+1=7

(5y+−3y)+(1)=7(Combine Like Terms)

2y+1=7

2y+1=7

Step 2: Subtract 1 from both sides.

2y+1−1=7−1

2y=6

Step 3: Divide both sides by 2.

2y /2 = 6 /2

y=3

3 0
3 years ago
Write 460,053 in expanded form
Marianna [84]
400,000                                                                                                                 60,000
0,000
000
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6 0
3 years ago
Read 2 more answers
Graph the solution set of the inequality 1/4x &gt;-2<br> —
Pavel [41]

Answer:

x>= -8

Step-by-step explanation:

Hope the above image help..

Visit Quick math if you have problems with inequalities

4 0
2 years ago
1. A student took 60 minutes to answer a combination of 20 multiple-choice and extended-response questions. She took 2 minutes t
Darina [25.2K]

Answer:

1) m=15 and r =5

2) 4 and 2 ml

3) x= 0.5 and y = -1

Step-by-step explanation:

given that m multiple choice questions and r extended response questions.

Also given that a) m+r = total no of questions =20 ... i and

                        2m+6r = total time taken = 60  ... ii

b) Divide second equation by 2, m+3r = 30  ... iii

                                                  m+r  = 20   ... i

Subtract to get 2r =10 or r =5

m = 20-5 = 15

Verify: m+r = 15+5 =20

and     2m+6r = 30+30 = 60 minutes.  

Hence verified

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

2) Let a litres of 20% solution and b litres of 50% solution be mixed

a) Then total volume = 6 ml = a+b  ... i

Resulting solution = 30% of 6 ml = 1.8 = 0.2a+0.5b ... ii

b) Solve i and ii

b = 6-a: substitute in ii.

0.2a + 3-0.5a = 1.8

Or a = 4 ml and b = 2ml

Verify: Total volume = a+b =6ml and

concentration = 0.2(4)+0.5(2) = 1.8 = 30% of 6 ml.

Thus verified

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

3) 2x-3y=4 ...i

  2x-5y =6... ii

Because x term has the same coefficient in both the equations, elimination is easier.

i-ii gives 2y =-2 or y =-1

Substitute in i, 2x+3 =4 or x = 0.5

So answer is x = 0.5 and y =1


6 0
3 years ago
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 1
Kobotan [32]

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

<h3>How to calculate the volume of a pyramid.</h3>

Mathematically, the volume of a pyramid is given by the formula:

Volume = \frac{1}{3} \times base\;area \times height

<u>For the </u><u>base area</u><u>:</u>

The area of a right triangle is given by:

A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}

A = 54 square units.

<u>Given the following data:</u>

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

7 0
2 years ago
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