the width of a rectangle is 3x+1. the length is three times the width. what is the simplified expression of the total perimeter of this rectangle?

Answers

Answer 1

Answer:

The total perimeter here is P =21x + 7

Step-by-step explanation:

Let W and L represent the width and length of the rectangle.  Then the perimeter is P = 2W + 2L.  Substituting 3x + 1 for W and 3(3x + 1) for L, we get

P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7


Related Questions

The figure shows two triangles with two pairs of congruent angles. If AC = 10 units, what is AD?

A.
4 units

B.
6.5 units

C.
10 units

D.
12 units

Answers

Answer:

the Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles.The four triangles are congruent with each other regardless whether they are rotated or flipped.The congruence of two objects is often represented using the symbol. △ABC  △DEF.the lengths of the corresponding sides and measures of the corresponding angles do not have to be explicitly shown to indicate congruence.

Step-by-step explanation:

hope this helps if not please let me now

Answer: the is c

Step-by-step explanation:  good luck !

Can someone help me on this ? Please

Answers

Answer:

need to know more

Step-by-step explanation:

It takes 8 seconds to fully inflate a mini basketball and 27 seconds to fully inflate a full size basketball. The mini basketball is 6 inches in diameter. 1) If the full size ball is a dilation of the mini ball, what scale factor was used to create the full size ball? Response area
2) What is the diameter of the full size ball? Response area inches

Answers

Answer:

28.5 inches

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IF IT'S CORRECT!

The length of the diagonal of a square is 14. What is the length of each side?

Answers

Answer:

x=[tex]\sqrt{7}[/tex]

Step-by-step explanation:

use the pythagorean theorem

since the two sides are the same you  

[tex]2x^{2} =14\\x^{2} =7\\x=\sqrt{7}[/tex]

write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

40 yd to 64 yd

Answers

5/8 because you divide both of the numbers by 8 and that’s your simplest form

Step right up for a prize brainiest if you get right
A librarian surveys college libraries to find out how many hours each library stays open on the weekends.
​15,15,8,12,12,14,14,16,8,17,18,15,12,10
​The number of hours is noted in the order that the librarian calls each.

​​Find the median of hours open
A.12
B.14
C.14.5
D.15

Answers

Answer:

I think its B

Step-by-step explanation:

Answer: B)14 hours open

(14+14)/2 =14

Step-by-step explanation:

15,15,8,12,12,14,14,16,8,17,18,15,12,

8,8,12,12,12,14,14,15,15,16,17,18

(14+14)/2 =14

The principal at Miller Street School
has 12 packs of new pencils. She
will give 3 packs to each third-grade
class. How many third-grade classes
are there?

Answers

Answer:

There are 4 third grade classes

Step-by-step explanation:

12 packs of pencils

3 packs to each class so you are making groups of 3.  

12 ÷ 3 = 4

There are 4 third grade classes

3 packs × 4 classes = 12 packs of pencils

14. What is the difference between
70% of 7 and 7% of 70?

Answers

Answer:

It's technically the same thing, because if we solve both of these the answer would be same.

First one says 70 percent part of 7 and the other one says 7 percent part of 70. However, if we solve both of these the answer will be same:

i) 70% of 7

= (70/100) × 7

= 4.9 answer

ii) 7% of 70

= (7/100) × 70

= 4.9 answer

So, here as you can see, through both the equations we get the same answer, which is 4.9 .

This is one of the basic principles of multiplication actually, where:

a × b = c

b × a = c

Therefore,

a × b = b × a

Hope that helps...

Simplify the square root of 40x^4

Answers

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

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

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

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

        2 • sqrt (10x4)  

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(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Hey there!


3 * 2/3

= 3/1 * 2/3

= 3(2) / 1(3)

= 6 / 3

= 6 ÷ 3 / 3 ÷ 3

= 2 / 1

= 2 ÷ 1

= 2


Therefore, your answer is: 2


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

If p(x)=5(x²+1)+16 then what is p(11)?

Answers

Answer:

626

Step-by-step explanation:

substitute whatever they put in the brackets into wherever X appears in the equationthey put 11 in the brackets, so replace X in the equation with 11[tex]5({11}^{2} + 1) + 16[/tex]this is just 5 (121+1) + 165(122) + 16 610 + 16626

Can anyone help me I needa explanation how to do it​

Answers

Answer:

1/4

Step-by-step explanation:

There are 8 sections and skating is on 2 of the 8;  the probability is 2/8 = 1/4. It does not matter how many times it has appeared on previous spins.

7. a) How many perfect squares are there between 90 and 890?​

Answers

Answer:

19

Step-by-step explanation:

100, 121, 144, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841 . are perfect squares in between 90 and 890, all together there are : 19

20 points if you help me with this 1 thing

Answers

Answer:

0.7

Step-by-step explanation:

1+3+3+2+3+3 = 15/6 = 2.5

2+4+4+2+4 = 16/5 = 3.2

3.2-2.5 = 0.7

Cos(B) = ?
13/5
5/13
12/13
12/5

Answers

[tex]~~~~~~\cos B = \dfrac{\text{Base}}{\text{hypotenuse}}\\\\\\\implies \cos B = \dfrac{BC}{AB}\\\\\\\implies \cos B = \dfrac{12}{13}[/tex]

You spin the spinner two times. If you get blue both times, you win $15.

If you don't, you lose $2. How much money do you expect to win or lose if you play this

game 1000 times?

Answers

The amount of money which is expected to lose if the game of spinner is played 1000 times is $111.

What is probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

You spin the spinner two times.

If you get blue both times, you win $15. If you don't, you lose $2.

Let suppose there are total 12 outcomes on a spinner which has 12 blocks. In this block, 4 is blue. The probability of getting blue twice in this spinner and earning $15 is,

[tex]P=\dfrac{4}{12}\times\dfrac{4}{12}\\P=\dfrac{1}{9}[/tex]

The probability of not getting two blue in two spun and losing $2 is,

[tex]P^{-1}=1-\dfrac{1}{9}\\P^{-1}=\dfrac{8}{9}[/tex]

The money to expect to win or lose if you play this is,

[tex]E(X)=15\times\dfrac{1}{9}-2\times\dfrac{8}{9}\\E(X)=-0.111[/tex]

For 1000 games,

[tex]E(X)=-0.111\times1000\\E(X)=-111[/tex]

Thus, the amount of money which is expected to lose if the game of spinner is played 1000 times is $111.

Learn more about the probability here;

https://brainly.com/question/24756209

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Each of the following bills is late. Which of the following situaltions charges a fee that is greater that 5%? Choose all that apply
A.a $150 bill totals $154.50 with fee.
B A $40 bill totals $41.60 with fee.
C.A $120 bill totals $133.00 with fee
D A $220 bill totals $237.60 with fee
E A $410 bill totals $418.20 with fee

Answers

The answer is A and C


Because a and c have late fees that are greater than 5%


( hope this helps )
Choices C. and D.

Reason:
A. 150 • 5 = 750 750/100 = 7.5
150 + 7.5 = 157.5
157.5 > 154.50, so 154.50’s fee is less than 5%.

B. 40 • 5 = 200 200/100 = 2
40 + 2 = 42
42 > 41.60, so 41.60’s fee is less than 5%.

C. 120 • 5 = 600 600/100 = 6
120 + 6 = 126
126 < 133, so 133’s fee is more than 5%.

D. 220 • 5 = 1100 1100/100 = 11
220 + 11 = 231
231 < 237.60, so 237.60’s fee is more than 5%.

E. 410 • 5 = 2050 2050/100 = 20.50
410 + 20.50 = 430.50
430.50 > 418.20, so 418.20’s fee is less than 5%

Rice weighing 3 3/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?​

Answers

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

given:

3 3/4 pounds of rice divided equally in 4 containers.

to find:

the amount of ounces of rice each were in.

solution:

33/4 ÷ 4 pounds

= (4 × 3 + 3)/4 ÷ 4 pounds

= 15/4 ÷ 4 pounds

= 15/4 × 1/4 pounds

= 15/16 pounds

so, now:

1 pound = 16 ounces

hence, 15/16 pounds = 15/16 × 16 ounces

= 15 ounces

Determine the MAD of the set of the data without the outlier. 88, 85, 90, 35, 75, 99, 100, 77, 76, 92, 82

Answers

Answer:

85

Step-by-step explanation:

pls help me with this maths question, I forgot how to do it :))

Answers

Step-by-step explanation:

thats the answer i think

sketch on the same axes the graphs of y= |x| and y= |x| - 2. Label the x- and y-intercepts. In what respects are the two graphs similar? In what respects do they differ?​

Answers

Answer:

Another method to graph a line in the xy-axis or xy-plane is to use its intercepts. What are intercepts? These are points of the line that are found on the xx and yy axes. There are two kinds of intercepts.

The first one is called the x-intercept because it is the point of the line located on the horizontal axis (x-axis).

The second is the y-intercept which is the point of the line located on the vertical axis (y-axis).

Step-by-step explanation:


2. (04.01 MC)
Gwen owes a total of $3,135.00 on revolving credit accounts that have total limits of $6,740.00. Calculate the amount she needs to pay on her debt to reduce her revolving
credit accounts to reach a 25% debt-to-credit ratio. (1 point)
$1,300.50
$1,450.00
$1,500.00

Answers

Answer:

  (b)  $1450

Step-by-step explanation:

For her debt-to-credit ratio to be 25%, Gwen must reduce her credit accounts balance to 25% of her limits of $6740. That balance will be ...

  0.25 × $6740 = $1685

__

To get her balance down to that amount, she must reduce it by ...

  $3135 -1685 = $1,450.00

3. What fraction of a revolution does the hour hand of a clock turn through when: (a) it starts at 3 and stops at 11​

Answers

Answer:

2/3.

Step-by-step explanation:

Full revolution = 12 hours

11 - 3 = 8 hors

So it is 8/12 = 2/3 of a revolution.

Use formulas to find the lateral area and surface area of the prism.
the numbers are 15 in 17 in 20 in
round to the nearest whole number

Answers

Answer:

12 inches

Step-by-step explanation:

Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.

The perimeter is the sum of the bases.

p=3+4+5=12 inches

Lateral Surface Area =12(8)=96  inches2

8. In AQRS, if m/Q = 30°, what must be the
length of QR?

Answers

Answer:

=> 73

Step-by-step explanation:

Given :

∠ Q = 30°

RS/QR = tan 30°

7/QR = 1/√3

QR = 7√3

Niles Hunt received this information on the statement from his bank. Find the (a) average daily balance-new purchases included, (b) finance charge, and (c) new balance. Reference Posting Date Transaction Date Description Purchases & Advances Payments & Credits $ 75. 66 $100. 00 1238090 2789433 3459811 4334681 2/5 2/10 2/17 2127 2/13 2/8 2/15 2/24 Home repairs PAYMENT Discount store PAYMENT 198. 33 50. 00 Billing Period Previous Balance Periodic Rate Finance Charge Average Daily Balance | a. 2/01-2/28 $36. 54 | b. 2. 1% Payments & Credits Purchases & Advances New Balance Minimum Payment Payment Due $273. 99 1 Ic $150. 00 $10. 00 3/15​

Answers

Minimum payment due is 345

Please answer this asaapppppp

Answers

Answer:

Fraction: 23/18

Radians: 23π/ 18

Step-by-step explanation:

A semi circle is 180 degrees, so 230 degrees of a semi circle would be 230/180, or 23/18.

To convert degrees to radians, do the degree times π/180, so the answer is 23π/18

WILL MARK BRAINLIEST PLS HELP!!!

Answers

Answer:

Angle 6= 109
Angle 6= 71

Step-by-step explanation:

Angle 4 and Angle 2 are equal because they are vertical angles, Angle 2 is also 109, Angle 6 is corresponding to angle 2, meaning angle 6 is also 109. To figure out angle 7 you simply do 180-109=71 and you get 71 for angle 7

Answer:

Step-by-step explanation:

<6 is the same since they are alternate interior angles meaning <6 is 109 degrees

7 is going to be a little more complicated.

180-109=71

<1,2,3 and 4 all share similar angles. 1 and 3 are similar, meaning 2 and 4 are also.

If 2 is 4 (109), then this means that 7 is 109 as it is the alternate exterior angle.

What is the value of x in the equation 2/3x - 7 = 5 - 3/5x?​

Answers

Answer:

180/19

Step-by-step explanation:

(10x)/15+(9x)/15=5+7

19x=12(15)

x=180/19

Find the center of the circle given by this equation:

Answers

Answer:

center of the circle is (5, -3) and radius of the circle is 8 units

Step-by-step explanation:

Find the center of the circle given by this equation:

x²-10x+y²+6y-30=0

for x

b= -10

for y

b=+6

complete the square

for x

(-10/2)² = 25

for y

(6/2)²=9

x²-10x+25

y²+6y+9

(x²-10x+25)+(y²+6y+9)+30=0+25+9

(x²-10x+25)+(y²+6y+9)=25+9+30

(x-5)²+(y+3)²=64

This is the form of a circle. Use this form to determine the center and radius of the circle

(x − h)² + (y − k)² = r²

Circle Equation

(x-a)² + (y−b) ² = r² is the circle equation with a radius r, centered at (a, b)

Rewrite x² - 10x + y² + 6y - 30 = 0 in the form of the standard circle equation

(x − h)² + (y − k)² = r²

(x - 5)² + (y-(-3))² = 8²

(x-5)² + (y+3)² = 8²

r=8

h=5

k=-3

signs of h and k are opposite of what they are inside the parenthesis

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x- offset from the origin, and k represents the y-offset from origin.

r=8

h=5

k=-3

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