The perimeter of a rectangle is 85 feet. The length of the rectangle is , 2, ( x + 16 ), and the width is , 3x minus 1, . What is the length of the rectangle?

Answers

Answer 1

Answer:

We know that for a rectangle of length L and width W, the perimeter is:

P = 2*L + 2*W.

In this case, we know that:

P = 85ft = 2*L + 2*W

L = 2*(x + 16)

W = (3*x - 1)

(where i guess that these units are in ft )

This is a system of equations:

Then we can replace the second and third equation into the first one, and get:

85 = 2*2*(x + 16) + 2*(3x - 1)

And solve this for x, we will get:

85 = 4x + 64 + 6x - 2

85 - 64 + 2 = (4 + 6)*x

23 = 10*x

23/10 = x

2.3 = x

Then the measures of the rectangle are:

L = 2*(x + 16) = 2*(2.3 + 16) = 36.6

W = (3*x - 1) = (3*2.3 - 1) = 5.9

The length of the rectangle is 36.6 feet, (and the width is 5.9 feet)


Related Questions

Given the quadratic function y = x2 - 11x - 26, what interval
is this function negative.

Answers

Yes it’s negative bc “x2” does not exist it’s suppose to be “2x”

Help me solve this problem please

Answers

Answer:

a² + b² + c² - 2ab + 2bc - 2ac

Step-by-step explanation:

Answer:

[tex]b=\frac{c+2}{a}\:[/tex]

Step-by-step explanation:

[tex]ab-c=2\\\\\add(c)\\\\ab=2+c\\\\divide(a)\\[/tex]

[tex]\frac{c+2}{a}\:[/tex]

answer number 6 (about the reformation)

Answers

Answer:

A. New Christian denominations emerged

Step-by-step explanation:

Luthern, Nazarene, Methodist etc are all a result of the reformation.

Someone please answer both part a and b i would appreciate is SO MUCH

Answers

Answer:

Look at explanation.

Step-by-step explanation:

a.

<ACD and <DCA

b.

90 = m<1 + m<2

90 = 2x + x

90 = 3x

x = 30

Plug back into angles:

m<1 = 2x

m<1 = 60 degrees

m<2 = x

m<2 = 30 degrees

write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-7,-5);y= -4x+5)

Answers

Answer:

y=-4x-33

Step-by-step explanation:

Since the equation is parallel it will have the same slope which is -4

Now just plug in the points into the equation y=-4x+n

Plug them in and you get -5=-4(-7)+n

Then solve which will get you n=-33

Therefore the equation is y=-4x-33

Please help me out with this

Answers

Answer:

the Fourth One

Step-by-step explanation:

Hey.... I need some help plz and plz answer the question correctly not like other people that put random answers

Answers

Answer: 16

Step-by-step explanation:

They tell you that for every 5ft=2cm you have 40ft so 40ft/5ft=8 so turn you want to multiply 8x2 to get it in cm which is 16

16 CM is your answer

Investing money in a retirement fund is part of a plan for achieving _____.
a.
Immediate goals
b.
Long term goals
c.
Short term goals
d.
Unrealistic goals

Answers

Answer:

I believe it is long term goals

Step-by-step explanation:

But I don’t really know if it is correct but it sounds like it would be long term goals

The investment of the money in a retirement fund is part of a plan for achieving Long term goals. Thus, option (B) is correct.

What is Investment?

Investment refers to the money spend over something that will give profits and higher rates of return. The money can be spent over the business or in the future projects or in the mutual investments etc.

It is basically the asset that has been acquired or invested to earn the wealth. People do spent in various sectors such as gold, shares, bonds, real estate etc. in order to earn maximum profits out of it.

There are two types of investment that is long term investment and short term investment in which the person spending on the long term investment can spend money on the retirement fund.

Therefore, it can be concluded that option (B) is correct.

Learn more about investment here:

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Write a story starting with the following lines. ( no romance included)
The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.

Answers

Answer:

The hospital is stuffy and the air has an undertone of bleach. the walls are magnolia and are scraped in places from the hundreds of trolleys. that have bumped into them. The picture in the wall are cheap benign prints of uplifting scenes and above the double doors are large blue plastic signs with the areas of hospital lie ahead.I was comig through the two doors to see my grandpa and he was bareley alive then I walked with him back through the blue doors with the sam stuffy feeling after I walked through then as we approached the surgery room he miraculously recovered and walked away and no knows how it happened. Too this day the hospital employees wonder how this had happened

An inequality is solved as shown below. Between which two steps is an error made?

Answers

Answer:

a

Step-by-step explanation:

because youre supposed to multipy -3 by 2 and that gives you -6 not positive 6


fill the charts with the image of any XY coordinate after being rotated and reflected

Answers

1. (-y, x)

2. (-x, -y)

3. (y, -x)

4. (x, -y)

5. (-x, y)

Which of the following is the best example of vestigial structures?
O thick fur on a polar bear
sharp beaks on a bird
O wings of a dragonfly
O wisdom teeth in humans
Plsssss helppp!!!!!!

Answers

Answer:

it the last one

Step-by-step explanation:

The sum of first nth terms of two APs are in the ratio (3n+8)
is to (7n+15).Find the ratio of their 12th terms​

Answers

Given:

Sum of first n terms of two AP's are in the ratio (3n + 8) : (7n + 15).

Find:

the ratio of their 12th terms​

Solution:

Let the first terms and common differences of the two APs be a , d & a' , d'.

We know that,

Sum of first n terms of an AP (Sn) = n/2 * [ 2a + (n - 1)d ]

So,

⟹ n/2 * [ 2a + (n - 1)d ] : n/2 * [ 2a' + (n - 1)d' ] = 3n + 8 : 7n + 15

⟹ 2a + (n - 1)d : 2a' + (n - 1)d' = 3n + 8 : 7n + 15

Multiply numerator and denominator by 1/2 in LHS

⟹ a + (n - 1)/2 * d : a' + (n - 1)/2 * d' = 3n + 8 : 7n + 15

Now,

3n + 8 : 7n + 15 is the ratio of nth terms of the two APs.

We have to find the ratio of 12th terms.

We know that,

nth term of an AP (aₙ) = a + (n - 1)d

⟹ a₁₂ = a + (12 - 1)d

⟹ a₁₂ = a + 11d

So,

⟹ a + (n - 1)/2 * d = a + 11d

⟹ n - 1/2 = 11

⟹ n - 1 = 22

⟹ n = 23

Hence, we have to substitute n as 23 to find the ratio of their 12th terms.

⟹ a + 11d : a' + 11d' = 3(23) + 8 : 7(23) + 15

⟹ a + 11d : a' + 11d' = 77 : 176

⟹ a + 11d : a' + 11d' = 7 : 16

∴ The ratio of the 12th terms of the two APs is 7 : 16.

I hope it will help you.

Regards.

Hurry pls I need to fine the difference of the equation

Answers

Answer:

i think it is 12-4i

Step-by-step explanation:

since the negative multiples if everything in the second brackets if i remeber

so it is

5+7

and

8-12

Answer:

C: 12 - 4i

Step-by-step explanation:

when you subtract two phrases its the same as when you add two mathematical phrases by combining like terms except you distribute the - sign into the parenthesis so the signs flip.

hope this helps :))

what is the value of 4 in the number 546210 write your answer in numbers

Answers

Answer:

40000

Step-by-step explanation:

Answer:

The value of 4 is 40,000

Step-by-step explanation:

Can I have brainliest?

Determine the unit rate
24 pencils in 8 jars =
pencils per jar

Answers

Answer:

3 pencils per jar

hope it helps you

The number of pencils in each jar will be 3.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that there are 24 pencils in 8 jars. The number of pencils in each jar will be calculated as,

Number = Number of pencils / Number of the jars

Number = 24 / 8

Number = 3 Pencils

Hence, there will be 3 pencils in each jar.

To know more about an expression follow

https://brainly.com/question/18917576

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Michael works 6 days every month at his grandfather's store. His grandfather pays him the same amount each day. Let e represent the total amount earned during one month. Michael earned $252, write and evaluate the expression for when e = 252.

Answers

Answer:

$42 per day

Step-by-step explanation:

Michael works 6 days every month

His grandfather pays him the same amount each day.

Michael earned $252

e = $252

Amount Michael earns per day = Total amount earned in a month / number of days worked for in a month

= $252 / 6 days

= $42 per day

Jace practices the piano 798 minutes in 3 weeks. At what rate did she practice, in minutes per day?

Answers

Answer:

38 minutes each day

Step-by-step explanation:

Answer:

38 minutes per day

Step-by-step explanation:

The information given says that Jace practices 798 minutes in 3 WEEKS and we need to convert that to days. There are 7 days in a week so multiply

7 x 3 = 21

Now you have to divide the minutes by 21.

798 ÷ 21 = 38

Jace practices piano for 38 minutes every day.

Hope that helps and have a great day!

If t(1) = 11 and t(3) = 17, then which value below is NOT part of the arithmetic sequence? 23 96 56 74​

Answers

Answer:

96

Step-by-step explanation:

It appears that the rate of change for this sequence is +3 because since t(1) = 11 and t(3) = 17, it would make sense that t(2) = 14.

From there you can use a calculator and start from 17 and keep adding 3 until you notice a number that doesn't belong in the sequence.

Hope this helps! I apologize if I'm incorrect

Kelly offers to pay for 9 of her friends to play laser tag, but
2 of them don't want to play
If laser tag costs $4 per person, how much will Kelly spend on her friends?
Choose the correct expression and solution to this problem

Answers

E xpression: 4(9-2)
First do 9-2, which is 7. 7 x 4 is 28, so the answer is 28.

Answer:

Kelly offers 9 of her friends to play, but 2 of them don't want to play...so if it costs $4 per person...then do $4.00 • 7 = $28.00......so the answer is $28.00 .

anyone knows this cuz i need help!?

Answers

Answer:

I think its D

Step-by-step explanation:

im not sure correct me if im wrong thanks

Answer:

C

Step-By-Step explanation:

Yes, the square root of 12 is irrational.

please help me with this

Answers

A- 34

The angels are equal

which expression is equivalent to f(x)=3x+2

Answers

:) hope this helps you out

look at pic and answer thanks

Answers

Step-by-step explanation:

3y/4 = 36

3y = 36 × 4

3y = 144

y = 48

Hence,

The value of y = 48.

y=48 simplify both sides and isolate the variable

ASAP ASAP ASAP
HELP ME PLZ

Answers

Answer:

a

Step-by-step explanation:

hope this helps :)

Pls help
Solve for P

Answers

The answer is the forth option
its D it’s the only one that made sense

can i get help on this please

Answers

Answer: X=18

Step-by-step explanation:

What is the range of f(x) = −2x + 5 with domain {1, 2, 3, 4}?

Answers

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

f(x) = −2x + 5

when

x=1

f(1) =−2 * 1 + 5 = -2 + 5 = 3

x=2

f(2) = −2 * 2 + 5 = -4 + 5 = 1

x=3

f(3) = −2 * 3 + 5 = -6 + 5 = -1

x=4

f(4) = −2 * 4 + 5 = -8 + 5  = -3

Answer:

f(x) = { 3, 1, -1, -3 }

Step-by-step explanation:

Have a great day <3

2jk / 3l^2
when j = -4, k = 5, and I = -3

Answers

Answer:

What????

Step-by-step explanation:

Which price choice has the lowest unit price per ounce?
Choice A: 6 ounces of raisins for $2.98
Choice B: 13 ounces of raisins for $7.18

Answers

Answer: A

Step-by-step explanation:

1. Divide the price of the raisins by the ounce

                     __

2.98 / 6 = .496

7.18 / 13 = .5523

2. round to the nearest hundredth

.50

.55

3. The lowest unit cost is your answer

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