the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the with and length

Answers

Answer 1

We know that the perimeter of a rectangle is twice the length, plus twice the width.  

P = 2L + 2W  

We also know that the perimeter is 156.  

P = 156  

Finally, we know that the width is 12 less than the length.  

W = L - 12.  

The next thing that we do is substitute the information that we have into the original equation:  

P = 2L + 2W  

156 = 2L + 2(L - 12)  

From this point we start to solve  

156 = 2L + 2L - 24 <---we multiplied the '2' through the parenthesis  

156 + 24 = 2L + 2L - 24 + 24  

180 = 2L + 2L <--- getting like terms on same sides  

180 = 4L <---combining like terms  

180/4 = 4L/4 <--- getting like terms on same sides  

45 = L <---now we have a value for L  

Now we take the known value for L and substitute it in to our equation for W  

W = L - 12  

W = 45 - 12  

W = 33  

So now we have Length = 45 and Width = 33.

Answer 2

w = l - 12

156 = 2l + 2w

Since we have a value of w, we can plug that into the variable w to find the exact value of l.

156 = 2l + 2(l - 12)

Distributive property.

156 = 2l + 2l - 24

Combine like terms.

156 = 4l - 24

Add 24 to both sides.

180 = 4l

Divide both sides by 4.

l = 45

Now that we have the exact value of l, we can find the exact value of w.

w = l - 12

w = 45 - 12

w = 33

We now know the width is equal to 33 cm, and the length is equal to 45 cm. (This is your answer.)

We can verify by plugging these values into the second equation.

156 = 2l + 2w

156 = 2(45) + 2(33)

156 = 90 + 66

156 = 156 √ this is correct.






Related Questions

Which expression represents the distance between -14.6 and -5.2 on the number line?

Answers

the third expression does

If the expression represents the distance between -14.6 and -5.2 on the number line. The expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

What is distance?

Distance between these two points:

Distance = Larger value - Smaller value

Where:

Larger value = -5.2

Smaller value=  -14.6

So,

Distance = -5.2 - (-14.6)

Distance = -5.2 + 14.6

Distance = 9.4

Therefore the expression that represents the distance between -14.6 and -5.2 on the number line is 9.4.

Identify the coordinates of four points on the line with each given slope and y-intercept. 0.2, y-intercept = 0.3

Answers

Slope = 0.2 and  y-intercept = 0.3

The slope intercept form of line is

y=mx + b where m is the slope and b is the y intercept

So equation becomes  y = 0.2 x + 0.3

To find coordinates of 4 points , we plug in some number for x  and find out y

x              y = 0.2 x + 0.3

0              y = 0.2 (0) + 0.3= 0.3

1               y = 0.2 (1) + 0.3= 0.5

2               y = 0.2 (2) + 0.3= 0.7

3               y = 0.2 (3) + 0.3= 0.9

Four coordinates are (0,0.3) (1,0.5) (2,0.7) (3,0.9)




If a car salesman made $2450 from a 12% commission on a car sale, what is cost of the car he sold?

Answers

I believe it is 20,416.67

Answer:

20417

Step-by-step explanation:

2450/12=204.16666   204.166*100=20416.6666667 round up

you have piano lessons every 7 days and tuba lessons every 3 days. Today you have both lessons. Not counting today or the day when you have the same lesson again, how many piano lessons will you have in between? how many tuba lessons will you have in between?

Answers

You will have 2 piano lessons and 6 tuba lessons


Final answer:

To solve this, we find the least common multiple (LCM) of 7 and 3, which is 21. Not counting the initial or ending day, there are 19 days in between, during which time 2 piano lessons and 6 tuba lessons occur.

Explanation:

The key concept in this question is the Least Common Multiple (LCM) of two numbers. Given that you have piano lessons every 7 days and tuba lessons every 3 days, we are seeking to find out when these cycles will align again. The LCM of 7 and 3 is 21, meaning that you will have both lessons on the same day every 21 days.

Not counting today or that next joint lesson day (a total of 21 days), we then have 19 days remaining. For piano lessons, since they occur every 7 days, you will have 19 / 7 = 2 piano lessons in between, with some non-whole number of days leftover. Similarly, you will have 19 / 3 = 6 tuba lessons in between, again with a non-whole number of days leftover. Therefore, the answer is 2 piano lessons and 6 tuba lessons.

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17+p=7p-13 Plz help me asap

Answers

First you had to subtract by seventeen from both sides of equation form.

[tex]17+p-17=7p-13-17[/tex]

Then simplify.

[tex]p=7p-30[/tex]

Next, subtract by seven-p from both sides of equation form.

[tex]p-7p=7p-30-7p[/tex]

Simplify.

[tex]-6p=-30[/tex]

Then you divide by negative six from both sides of equation form.

[tex]\frac{-6p}{-6}= \frac{-30}{-6}[/tex]

And finally, simplify by equation.

[tex]-30/-6=5[/tex]

Final answer: [tex]\boxed{p=5}[/tex]

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie


cathy needs to collect linear data which set of data should cathy collect
A. The height of a building for 20 years.
B.The height of a person from birth till 20
C. the height of a tree for 20 years.
D. The height of an elephant for 20 years.

Answers

Option A is correct.

Cathy needs to collect linear data . She should collect the data of option A-The height of a building for 20 years.

Explanation:

Linear data is that data whose slope is always same. Here lets assume, initially the building had 2 floors. Each year 2 floors are added above the previous floors. So our coordinate will be (0,2) (1,4) (2,6) (3,8)  and so on.

So slope = [tex]\frac{difference in y}{difference in x}[/tex]

= [tex]\frac{4-2}{1-0} = \frac{2}{1}[/tex]

= [tex]\frac{8-6}{3-2}[/tex] = [tex]\frac{2}{1}[/tex]

So, here slope is 2 for all coordinates.

is 432 divisible by 2

Answers

Hello!

This question is super easy to me.

[tex]432/2[/tex]

[tex]Answer---> =216[/tex]

[tex]216*2=432[/tex]

[tex]432/216=2[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Answer:

[tex]\displaystyle Yes[/tex]

Step-by-step explanation:

According to the Divisibility Rules, any number quantity ending in 8, 4, 6, 4, 2, or 0, is divisible by 2.

I am joyous to assist you anytime.

How many lines of symmetry does this figure have? 


Answers

There aren't any lines of symmetry because it is a scalene right triangle. (:

Answer:

The scalene triangle has no lines of symmetry.

Step-by-step explanation:

We can see that the given figure is a scalene right triangle.

A line of symmetry is a line that divides a figure into two mirror image halves. The line around which a figure is reflected over is called a line of symmetry.

The scalene triangle has no lines of symmetry. A scalene triangle is one which has no sides equal and no angles equal.

Please Fill in the Blank with the simplified equation. 1/7r=10

Answers

Multiply both sides by 7

1/7 r ×7 = 10 ×7

7r/7 = 70

r = 70

Multiply both sides by 7  

1/7 r ×7 = 10 ×7

1r  = 70

Divide by 1 on both sides (Side by Side need to divide)

r = 70

HHHHHEEEELLLLPPPPP PLLLLLLEEEEAAAASSSEEEEE

Answers

we know 140 is 5% of some number x. to find x, we use this formula: 140/x = 5/100

cross multiply: 14000 = 5x

divide each side by 5: 2800

they had $2800 in their account.

Which equation is the inverse of y=9x^2-4

Answers

First swap the x and y variable, then isolate y.

y = 9x^2 - 4
x = 9y^2 - 4
x + 4 = 9y^2
(x+4)/9 = y^2

plus or minus
[tex] \sqrt{((x + 4) \div 9} = y[/tex]


The equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

Given the expression y = 9x^2 -4

Replace y with x to have

x = 9y^2 -4

Make y the subject of the formula to get the inverse function

9y^2 = x+ 4

[tex]y^2 = \frac{x+4}{9} \\y =\sqrt{\frac{x+4}{9} }[/tex]

Hence the equation of the inverse of the function is [tex]y=\sqrt{\frac{x+4}{9} }[/tex]

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what is thee prime factors of 60

Answers

2*2*3*5 are the prime factors of 60

2, 3 and 5 are the prime factors of 60.

Using the slope and the y- intercept, graph the line represented by the following equation. Then select the correct graph. 2 y + 4 = 0

Answers

the slope is 0 so the answer is the graph with the horizontal line going through -2

21.161(17x+2)=24.8
what does x =?

Answers

[tex]21.161(17x+2)=24.8[/tex]


Distribute the [tex]21.161[/tex]

[tex]359.737x+42.322=24.8[/tex]

Subtract [tex]42.322[/tex] from both sides

[tex]359.737x=-17.522[/tex]

Divide [tex]359.737[/tex] on both sides

[tex]x=-0.048708[/tex]

Therefore -0.048708 is your answer.

2,000+300+50+0.01+0.003 in standard form

Answers

2350.013 is the answer I'm pretty sure.

It doesn't seem like you can put this in standard form since you are lacking variables.

Standard form of a polynomial:

x^3 + x^2 + x + n = 0

The function C(t) below relates outside temperature in degrees Fahrenheit to the number of cricket chirps per minute. It takes as input the temperature in degrees Fahrenheit, and returns as output the number of cricket chirps per minute occurring at that time. C(t) = 6t - 180 Which equation below represents the inverse function T(c), which takes the cricket chirps per minute as input and returns as output the temperature in degrees Fahrenheit? A. B. C. D.

Answers

Step-by-step explanation:

I had a different  A pex  question but it was still relatively the same answer but i don't want anyone getting the answer wrong due to confusion so my answer was

Answer: T(c)=c+160/4

Final answer:

The function T(c), which is the inverse of C(t), is T(c) = (c + 180) / 6.

Explanation:

To find the inverse function T(c), we first have to rewrite the original function C(t) in terms of c. So, if C(t) = 6t - 180, we write it as c = 6t - 180.

Next, we swap the roles of c and t, so now t becomes the function of c i.e., we get t = 6c - 180.

Finally, we solve this equation for c to get the inverse function. Doing so will give us c = (t + 180) / 6. Hence the inverse function is T(c) = (c + 180) / 6.

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2x+6= 45

Solve for x

49 pts

Answers

2x+6=45

2x=39

x=19.5


i hope that's helpfull......... is it?

2x + 6 = 45

2x = 45 - 6

2x = 39

x = 39 : 2

x = 39/2 or 19.5 (39 : 2=19.5)

Use the Distributive property to write an expression equivalent 5 times ( 3+4 ).

Answers

You can set this up as 5(3+4)....then, distribute by multiplying the terms in parentheses by 5. This gives you 15+20, which equals 35.

PLEASE NEED HELP WITH 1,2, AND 3 WILL MARK AS Brainliest!!!

Answers

1. Looks like 12

that's all I know sorry :((

1.)3,1,13. -2.)16,6,4- 3.)12

Lea bought 225 flowers and 12 vases. She put about the same number of flowers in each vase. Which is the best estimate for the number of flowers in each vase

Answers

This would be 225 flowers spread across 12 vases, or 225/12, this equals 18.75. Now of course, it's not reasonable to assume Lea places .75 of a flower in each vase, so we can round it down to 18. This means that Lea should put 18 flowers in each vase.

This answer can be found by deviding 225 by 12. The exact answer is 18.75, but obviously you can’t put 3/4 of a flower in a vase. In that case, the best estimate would be 18-19 flowers, or just 19.

Lynn has two jobs. She earns $7.50 per hour as the hostess for a restaurant and earns $10 per hour babysitting for a neighbor. Part 1 Which inequality represents the number of hours working as a hostess, h, and the number of hours babysitting, b, that Lynn needs in order to earn at least $150 in one week?


HELLLPPP MEEE!!! (again)

Answers

She need to work a total of 6 hours of being a hostess because if she just works 5, she will not get the total $150 she needs to earn. I took this test and I got it correct.

Final answer:

The inequality that represents the number of hours Lynn needs to work both as a hostess and babysitting in order to earn at least $150 in a week is 7.5h + 10b ≥ 150. Here 'h' is the number of hours Lynn works as a hostess and 'b' is the number of hours she babysits.

Explanation:Understanding the Question

To solve this mathematics problem, you need to set up an inequality. Lynn works at the restaurant earning $7.50 per hour (represented by 'h') and babysits earning $10 per hour (represented by 'b'). Given that she needs to make at least $150 in one week, the expression of her earnings from both jobs must be greater than or equal to 150. Hence the inequality will be 7.5h + 10b ≥ 150.

Explaining the Solution

The coefficient of 'h' represents the wage rate Lynn earns per hour working as a hostess and 'b' is the number of hours she babysits. The sum of her earnings from both jobs is her total income. This sum must be at least $150, hence the 'greater than or equal to' sign.

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A polynomial has been factored, as shown below:

f(x) = (x − 9)(x + 12)(x − 24)

What are the zeros of the polynomial?

−9, 9, −12, 12, −24, 24
−9, 12, −24
9, −12, 24
9, 12, 24

Answers

9, -12, 24


The zeroes are the numbers in the parentheses with the opposite signs (-9 becomes 9, 12 becomes -12, and -24 becomes 24)

The zeros of the polynomial are 9, −12, 24.

option (c) is correct.

It is given that the  polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

To find  the zeros of the polynomial.

What of polynomial?

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.

The given polynomial is

f(x) = (x − 9)(x + 12)(x − 24)

If f(x) =0

0 = (x − 9)(x + 12)(x − 24)

then

x-9=0 or x+12=0 or x-24=0

x=9 or x=-12 or x=24

so ,  the zeros of the polynomial are 9, −12, 24.

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Mr Johnson was paid $190 for a job that required 40 hours of work. at this rate how much should he be paid for a job requiring 60 hours of work

Answers

4.75 per hour. So 60 hours would be $285
It would be $285! Hope this helps :D

find the quotient: -10/19 divided by (-5/7) ?

Answers

The quotient is 14/19.
When dividing fractions, you multiply by the reciprocal
Final answer:

In mathematics, we convert division of fractions to multiplication by using the reciprocal of the divisor. By following these steps, -10/19 divided by (-5/7) simplifies to 14/19.

Explanation:

The problem at hand involves the division of two fractions, -10/19 divided by (-5/7). In mathematics, the division of fractions is performed by converting the division operation into multiplication by making use of reciprocal of the divisor. That means we replace the division symbol between the two fractions with a multiplication symbol and inverse the divisor (which is the fraction that comes after the division symbol).

Let's perform the operation step-by-step:

Invert the divisor (i.e., flip fraction (-5/7) to (7/-5) or -7/5)Replace the division symbol with a multiplication symbol, we get: -10/19 * -7/5Multiply the numerators: (-10) * (-7) = 70Multiply the denominators: 19 * 5 = 95Combine the resulting numerators and denominators to form a fraction: 70/95Simplify the result: 14/19

So, the result of -10/19 divided by (-5/7) is 14/19.

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Janie receives an allowance of \$3dollar sign, 3 per week. In addition, she can earn \$2dollar sign, 2 for each chore she does. This week, she wants to earn enough money to buy a CD for \$13dollar sign, 13. Janie can do fractions of chores. Write an inequality to determine the number of chores, c, Janie must do this week to earn enough money to buy a CD.

Answers

it would take 3 weeks because she earns $3 per sign plus $2 for each chore .3+2 =5.if you do 13 ÷5=2remander 3.but she can save $2 if you do 5×3=15.if you did 5×2=10that is lower than $13

Please answer and show work

Answers

This is my solution put -41 other sides of the equation so x/-3 = 30 multiply by -3 to get rid of the fraction so this is the answer

X/-3 -41 = -11

X/-3 = -11 +41

X/-3 = 30

X = 30×-3 = -90


To check

Put X = -90 in LHS

-90/-3 - 41

30 - 41

-11 = RHS

VERIFIED

solve for a 59>2a+59>43

Answers

[tex]59\geq2a+59 > 43\qquad|-59\\\\0\geq2a > -16\qquad|:2\\\\0\geq a > -8[/tex]

[tex]Answer:\ -8 < a\leq0[/tex]

The graphs below show the number of honor roll students in each grade at Bridgeport Middle School. Which statement is true??

A. According to Graph 2, there are more than twice as many sixth graders on the honor roll than eighth graders on the honor roll.

B. The scale on Graph 1 does not distort the differences in the number of students.

C. The two graphs use completely different data

D.both: “according to Graph 2, there are more than twice as many sixth graders on the honor roll than eighth graders on the honor roll” and “the two graphs use completely different data”

Answers

I believe the awnser is b

HELP ME PLEASE I AM A CONFUSED AND SAD BEAN THNKS

Answers

I think it is 11. Hope this help.

5)

f and g are parallel so

5x + 9x +26 = 180

14x + 26 = 180

14x = 154

  x = 11 (second option)

6)

<1 + <2 = 180

answer

j║k by the converse of same side interior angles theorem (add up to 180)

the fourth graders sang on a two day telethon for the local children's hospital. the hospital hoped to raise $750000. one day one, the raised 398622. on day two they raised 379873. did they reach their goal? how much more or less did they raise?

Answers

Yes, the fourth grades reached their goal and they raised 778,495 dollars that's 28,495 more dollars than they hoped to raised.

No they did not reach there goal. They have $370,127 more money raise.

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