A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
rectangle is 94 units, what is the length of the rectangle.

Answers

Answer 1

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

[tex] L = 3x + 7 [/tex]

[tex] W = 2x [/tex]

The perimeter of the rectangle is given by:

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

[tex] 94 = 2(2x + 3x + 7) [/tex]

[tex] 94 = 10x + 14 [/tex]

[tex] x = 8 [/tex]

Now, we can calculate the length of the rectangle:

[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]        

         

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                


Related Questions

what is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15​

Answers

Answer:

mean: 19.66667

mode: 12

median: 18

range: 37

Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?​

Answers

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles

Y=5+2x fill in the table using this function rule

Answers

Step-by-step explanation:

hope it helps you..........

All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there

Answers

Answer:

61 cabins

Step-by-step explanation:

Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.

48 + 13 = 61

Step-by-step explanation:

62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.

hey please help
just tell me all the ones that work ​

Answers

Answer:

D and A and B i think

Step-by-step explanation:

How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction

Answers

Answer:

52-40

Step-by-step explanation:

distribute 4 to 13 and 10

put the subtraction sign back in

1. Find the sum of -9g and 6g + 3

Answers

Answer:

-3g + 3

Step-by-step explanation:

-9g + 6g + 3

combine like terms

-3g + 3

Hope this Helps!!!

Answer:

-3g + 3

Step-by-step explanation:

This would be the answer because if we add 6g to -9g then we would have -3g since 3  and 3 are not like terms then we can just add them like this -3g+3

you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

each ballon costs: ?
each banner costs: ?

Answers

Answer:

each balloon costs 1$ and each banner costs 3$

Step-by-step explanation:

The costs of each balloon and banner are $1 and $3 respectively.

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.

Let x represents balloons and y represents banners.

Establishing the equations,

x+y = 4

x = 4 - y......(i)

3x + 2y = 9...(ii)

Put eq(i) in eq(ii)

3(4 - y) + 2y = 9

12 - 3y + 2y = 9

y = 3

Put y = 3 in eq(i)

x = 4-3

x = 1

Hence, the costs of each balloon and banner are $1 and $3 respectively.

Learn more about systems of the equations, click;

https://brainly.com/question/12895249

#SPJ2

Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.

Work out Ted's total pay for last week.​

Answers

118.50 cents if I’m correct

Answer:

The answer is 122.45

Step-by-step explanation:

So basically we know that he worked 15 and 1/2 hours

He gets paid £7.90 for every hour he works

7.90  × 15 = 118.5

Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.

You add 118.5 + 3.95 = £122.45

and that your answer

please help, I suck​

Answers

Answer:

I believe the equation using slope intercept form is Y= (1)x + -1

Step-by-step explanation:

The line is going down, it hits the y axis at -1, and it goes down one and over one

Hope this helps and have a great day :)

Please help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its 7

Step-by-step explanation:

2x2 + 8x - 7 = 0
How to solve

Answers

x =(8-√120)/4=2-1/2√ 30 = -0.739

Step-by-step explanation: calculator

Answer:

2 x 2 +8x -7= 0

4+8x-7=0

-3+8x=0

8x=0+3

8x/8=3/8

x=3/8

x=0.375

Step-by-step explanation:

1.Multiply 2x2 to get 4

2.Calculate the difference between 4-7

3.Move the constant to the right side

4.Divide both sides of the equation by 8

What is the surface area?

Answers

Answer:

369 m²

Step-by-step explanation:

Area of Triangle (sides): 1/2bh

=1/2(bh)

=1/2 (9•16)

=1/2 (144)

=72

There are four sides of the prism:

72•4=288

Area of Square (base): l•w

=9•9

=81

Surface Area = 288+81=369 m²

Answer:

369 m²

Step-by-step explanation:

Solve to find X. 3 ≥ -3x

Answers

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

I need help ASAP!!!,

Which of the following would be a possible solution to the system of inequalities given below?

Answers

Answer:

b

Step-by-step explanation:

i just took the quiz plz mark brainliest

HELP ME PLEASE!!!!!!

Answers

It’s an eighth of area of b

Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?

Answers

Answer:

28 shirts are sold

7/9 of the shirts are sold

Step-by-step explanation:

hope this helps <3

8. What is the 10th term of the geometric sequence
a(n)= -3(2)^x-1

a. -54
b. -3,072
c. -10,077,696
d. -1,536

Answers

Answer:

n=10

a10= - 3 (2)^(10-1)= -3(2)^9

= -1536

you will have amazing luck if you help me out trust

Answers

Answer:

x=29

Step-by-step explanation:

5x+30=175 because they are congruent

5x=145

x=29

Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)

Answers

-3/4,-2/3,-5/12,1/3,1 1/4, 1 5/12 these are all in the correct order,

Answer:

Step-by-step explanation:

b/c fractions are confusing  :D,  put them all in 12th to make it easier

4/12,  -8/12,  -9/12,  -5/12,  1  3/12,  1  5/12

now stick them in order

-9/12,  -8/12,  -5/12 , 4/12 ,  1  3/12,  1  5/12

now put them back to reduced form

-3/4,    -2/3,    -5/12,   1/3 ,    1   1/4,   1 5/12  

:)  better?

johnathan is rolling 2 dice and needs to roll an 11 to win the game he is playing.what is the probability that johnathan wins the game?

Answers

Answer: Hope this helps, I think I did the right math if not I'm sorry

2/6 x 1/6 = 1/18

Step-by-step explanation:

Can someone help me out with this problem?

Answers

Answer:

[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]

20 dumplings can be made by Luke.

3n + 7 - 11n - 31 = 160

Answers

Answer:

n = -23

Step-by-step explanation:

3n + 7 - 11n - 31 = 160

Step 1: Combine like terms

-8n - 24 = 160

Step 2: Simplify

-8n = 184

n = -23

Answer:

= −23

Step-by-step explanation:

Subtract the numbers

3 + 7 - 11-31 = 160

3-24 - 11 = 160

Combine like terms

3 - 24-11 = 160

-8 - 24 = 160

Add 24 to both sides of the equation

-8 - 24 = 160

-8 - 24 + 24 = 160 + 24

Simplify

Add the numbers

Add the numbers

--> -8 = 184

Divide both sides of the equation by the same term

-8 = 184

-8/-8 = 184/-8

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

--> = -23

PLS HELP!!!
A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet. The area of each triangular base is: A = 1/2(b)(h) A = 1/2(3)(4) A = ft2 There are two bases, so total base area is ft2. The lateral area is: A = (12)(3) + 12(5) + 12(4) A = ft2 The total surface area is ft2.

Answers

Answer:

The lateral area is 144 ft^2

The Total surface area is 156ft^2

Step-by-step explanation:

:)

Answer:

6, 12, 144, 156

 

Step-by-step explanation:

The area of each triangular base is:  A = 1/2(b)(h)  A = 1/2(3)(4)  A =  6  ft2

There are two bases, so total base area is  12  ft2.

The lateral area is:  A = (12)(3)  + 12(5) + 12(4)  A =  144  ft2

The total surface area is 156  ft2.

Please help ASAP!!!!!!!!!!!!!

Answers

Answer:good luck yo

Step-by-step explanation:2 times 5

error
question not used

Answers

Erroripairedwithmymomohno.exe has stopped working.

can someone fill in the chart please!!

Answers

Answer: (P 3, -3, 4, -4) {q 14. -14, 7, -7} [P + Q 17, -17, 11, -11]

Hope this helps! :)

Sally made 17 bundles of 10 straws. How many straws did she made in all?

Answers

Answer:

170 straws

Step-by-step explanation:

10x17 is 170, so she made 170 straws

Answer:

The answer is 70 because 17x10=170

Use the zero product property to find the solutions to the equation x2 + x – 30 = 12.
x = –7 or x = 6
x = –7 or x = –6
x = –6 or x = 7
x = 6 or x = 7

Answers

Answer:

answer is in the img below

Step-by-step explanation:

brainliest plzzz

Answer:

A) x= -7 or x = 6

Step-by-step explanation:

e2021

On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row?

Answers

Answer:

naruto

Step-by-step explanation:

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