Urgently need this my kid is confused and so am I.

The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?

Answers

Answer 1

Answer:

The other equation is [tex]x + y = 21[/tex]

The length and width are 13 and 8

Step-by-step explanation:

Given

[tex]Perimeter = 42[/tex]

[tex]y = x - 5[/tex]

Required

What is the other equation for the length and width?

x and y represents the length and width respectively.

The perimeter of a rectangle is calculated using:

[tex]Perimeter = 2 * (length + width)[/tex]

In this case, it is:

[tex]Perimeter = 2 * (x + y)[/tex]

Substitute 42 for perimeter

[tex]42 = 2 * (x + y)[/tex]

Divide through by 2

[tex]21 = x + y[/tex]

[tex]x + y = 21[/tex]

Required: The values of length and width

We have that:

[tex]y = x - 5[/tex]

[tex]x + y = 21[/tex]

Substitute x - 5 for y in the second equation

[tex]x + x - 5 = 21[/tex]

[tex]2x - 5 = 21[/tex]

Add 5 to both sides

[tex]2x - 5 + 5 = 21 + 5[/tex]

[tex]2x = 26[/tex]

Divide through by 2

[tex]x = 13[/tex]

Substitute 13 for x in [tex]y = x - 5[/tex]

[tex]y = 13 - 5[/tex]

[tex]y = 8[/tex]

Hence, the length and width are 13 and 8 respectively


Related Questions

What is the equation of this line

Answers

Answer:

Y= 2x

Step-by-step explanation:

Two points in that graph are (1,2) and (2,4). you have to do rise over run so 4-2 over 2-1 and the answer is 2/1 or just two.

Lourdes recorded in this table the change in her dog's weight, in ounces, each month. Which statement can be suppor by the data in the table? Change in Dog's Weight January February March April May +6 +4 -2 +1 -5

A) Lourdes dog gained weight in more months than it lost weight because there are more positive numbers than ne numbers.

B) Lourdes' dog lost weight in more months that it gained weight because the digit 5 is the greatest digit and it is a ne number.

C) Lourdes dog gained weight every month because it is getting older.

D) Lourdes dog lost weight every month because the change in May is a negative number.​

Answers

Answer:

A). Lourdes dog gained weight in more months than it lost weight because there are more positive numbers then negative numbers

If there are 13 pretzels in each cup, How many pretzels does He eat?

Answers

How many cups are there? You are missing information.

Answer:

Step-by-step explanation:

Slope for (-5,-1) (5,0)

Answers

Answer:

(0-(-1))/(5-(-5)) = 1/10

Solve the equation. 4(x + 5) - 4 = 4

Answers

Answer: How to solve your question

Your question is

4

(

+

5

)

4

=

4

4(x+5)-4=4

4(x+5)−4=4

Solve

1

Distribute

4

(

+

5

)

4

=

4

{\color{#c92786}{4(x+5)}}-4=4

4(x+5)−4=4

4

+

2

0

4

=

4

{\color{#c92786}{4x+20}}-4=4

4x+20−4=4

2

Subtract the numbers

3

Subtract  

1

6

16

16

from both sides of the equation

 

4. Simplify

5. Divide both sides of the equation by the same term  

 

6. Simplify

Solution  

=

3

Step-by-step explanation: I got this from a website but i hope this helps!!!!

4(x+5)-4=4
4x+20-4=4
4x+16=4
4x=4-16
4x=-12
X=-3

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising. (a) What is the recursive rule for the sequence? (b) What is the iterative rule for the sequence?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

(a) What is the recursive rule for the sequence?

Given the sequence

6, 18, 54, 162,...

Please note that each successive term is 3 times the previous term.

i.e. 18 = 6×3, 54 = 18×3, 162 = 54×3

Here, r = 3 is the common multiplier

In other words, every next term can be obtained by multiplying the previous term by a number 'r', using the recursive formula

[tex]a_n=a_{n-1}\times r[/tex]

Here, aₙ is r times the previous term aₙ₋1.

For example, in order to determine the 2nd term a₂, just put n=2 in the recursive formula

[tex]a_n=a_{n-1}\times r[/tex]

so substituting r = 3, and n = 1 in the recursive formula

[tex]a_2=a_{2-1}\times 3[/tex]

[tex]a_2=a_1\times \:3\:\:\:\:\:\:[/tex]

as

a₁ = 6

so

[tex]a_2=6\times \:3\:\:\:\:\:\:[/tex]

[tex]a_2=18[/tex]

(b) What is the iterative rule for the sequence?

Given the sequence

6, 18, 54, 162,...

A geometric sequence has a constant ratio 'r' and is defined as

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]\frac{18}{6}=3,\:\quad \frac{54}{18}=3,\:\quad \frac{162}{54}=3[/tex]

The ratio of all the adjacent terms is the same and equal to, so

r = 3

as

a₁ = 6

so substituting r = 3 and a₁ = 6 in the nth term of the sequence

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=6\cdot \:3^{n-1}[/tex]

Thus, the iterative rule for the sequence is

[tex]a_n=6\cdot \:3^{n-1}[/tex]

a) The recursive rule for the sequence is [tex]a_n=3a_{n-1}[/tex]

b) The iterative rule for the sequence is [tex]a_n=2(3^n)[/tex]

The given sequence is:

6, 18, 54, 162, …

The common ratio, r = 18/6

r  =  3

Let the last term be [tex]a_n[/tex]

Let the preceding term be [tex]a_{n-1}[/tex]

The recursive rule for the sequence is given as:

[tex]a_n=a_{n-1}r\\\\a_n=3a_{n-1}[/tex]

b) The iterative rule is gotten by using the formula:

[tex]a_n=ar^{n-1}[/tex]

Substitute a = 6 and r = 3 into the formula above

[tex]a_n=6(3)^{n-1}\\\\a_n=\frac{6}{3}(3^n )\\\\a_n=2(3^n)[/tex]

Learn more on sequence here: https://brainly.com/question/6561461

Sports Plus has a sale on all
baseball cleats for 25% off. If a
pair of cleats is priced at $74.00,
what is the price after the
discount?

Answers

Answer:

$55.5

Step-by-step explanation:

divide 74 by 100 to find out how much 1% of the shoe is and multiply that number by 25 and you will get 18.5 , then subtract 18.5 from 74 and you get $55.5!Hope this helps :)

The anwser is $55.50 because 25% off 74.00 is 54.50

What is the range of h

Answers

“B” is the answer I think

[tex]\sqrt{x + 12} = x+5[/tex]

Answers

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.

order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2​

Answers

Answer:

3/4 3/4 1/2 1/4 -14 -15 -20

Step-by-step explanation:

Answer:

-20,-15,-14,-1/4,1/2,34

Step-by-step explanation:

What is the answer I need it ASAP

Answers

Answer:

the 1st one!

Step-by-step explanation:

Melissa has started training for a race. The first time she trains, she bikes 5 miles. Each subsequent time
she trains, she bikes 0.5 mile farther than she did the previous time.
a) Use summation notation to write an arithmetic series to represent the total distance Melissa has biked
after she has trained n times. (2 points)
b) Use the formula for a partial sum of the series you wrote in part a, above, to answer this question: What
is the least number of times Melissa must bike for her total distance biked during training to exceed 60
miles? (3 points)

Answers

It’s 59000000000099999999 miles

Answer:

55

Step-by-step explanation:

Which of the following are geometric sequences?
Check all that apply.

Answers

Answer:

c , I think :))))))))))))

Answer: C

Step by Step Explanation:

Can not give, sorry

What is MR? Explain.

Answers

Answer:

MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go           " 4 6 6 4" and you add those together and get 20

ASAP ASAP 30 POINTS

A ratio table shows ratios that are....

A)equivalent
B)subtracted
C)unequal

Answers

Answer:

A ) equivalent

Step-by-step explanation:

<333 .! :)

Answer:

I agree with the answer equivalent because I am also doing the assignment

Have a great day!

What is the distance between (–2 and one-half, –3) and (1, –3)?
–3 and one-half units
–1 and one-half units
1 and one-half units
3 and one-half units

Answers

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

Solve the proportion. 8/11 = 4/y + 2

Answers

Answer:

The answer is Y = - (22)/(7 )

Step-by-step explanation:

The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude

2x+5=13


Help me out please

Answers

Answer:

4

Step-by-step explanation: 2x+5=13

                                                  -5   -5

                                                   2x=8

                                                   /2     /2

                                                      x=4

Answer:

X = 4

Step-by-step explanation:

Subract 5 from 5 and 13

Simplify: 2x = 8

divide both sides of the equation by the same term 2x/2 8/2

which gets you x = 4

carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?

Answers

Answer:

Rocco mowed 1 lawn a week.

Step-by-step explanation:

If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.

Thus Rocco mowed 1 lawn a week.

A teacher had 39 students in her classes. If each student completed 73 problems which expression shows about how many problems she'd have to grade?

Answers

39 x 73 - use a calculator or something if you need the answer for it.

Jasmine saves $46 each month from her part-time job. She saves 2/5 of her earnings. Her earnings a can be found by using the equation 2/5a = 46.
Find her earnings.Required to answer. Single choice.
(10 points )
$ 230
$ 115
$ 92
$ 18.40

Answers

Answer:

$115 is the correct answer please mark me as brainliest

please fast tell me​

Answers

Answer:

1). Option (b)

2). Option (d)

3). Option (d)

Step-by-step explanation:

Question (1)

For Pythagoras triplet,

(Largest number)² = (Number 1)² + (Number 2)²

a). 5² = 5² + 2²

   25 = 25 + 4

   25 = 29

  Not True.

b). 5² = 3² + 4²

   25 = 9 + 16

   25 = 25

   True.

c). 10² = 1² + 5²

   100 = 1 + 25

   100 = 26

   Not true.

d). 2² = 2²+ 2²

   4 = 4 + 4

   4 = 8

   Not true.

Therefore, Option (b) is correct.

Question (2)

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{5}{5}-\frac{1}{5}[/tex]

      = [tex]\frac{5-1}{5}[/tex]

      = [tex]\frac{4}{5}[/tex]

Therefore, Option (d) is the answer.

Question (3)

Property of triangle → Sum of lengths of two sides of a triangle should be greater than the measure of third side.

a). 6 + 3 > 2 ⇒ 9 > 2 [True]

    6 + 2 > 3 ⇒ 8 > 3 [True]

    2 + 3 > 6 ⇒ 5 > 6 [False]

    Triangle is not possible.

b). 2 + 8 > 3 → 10 > 3 [True]

    8 + 3 > 2 → 11 > 2 [True]

    2 + 3 > 8 → 5 > 8 [False]

   Triangle is not possible.

c). 5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   5.5 + 2.5 > 2.5 → 8 > 2.5 [True]

   2.5 + 2.5 > 5.5 → 5 > 5.5 [False]

   Triangle is not possible.

d). 3 + 6 > 7 → 9 > 7 [True]

    3 + 7 > 6 → 10 > 6 [True]

    7 + 6 > 3 → 13 > 3 [True]

   These are the sides of a triangle.

Therefore, Option D is the answer.

In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.

Answers

Answer:

93.83%

Step-by-step explanation:

2350 - 1200 = 1150

1150/1200 * 100 = 95.83%

A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?

Answers

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)

How much cinemeters is 5 inches

Answers

Answer:

5 inches is equal to 12.7 centimeters.

Step-by-step explanation:

There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.

Answer:

12.70 cm hope it is right

Step-by-step explanation:

ANYONE WANNNA HELP MATH!!!!! HRW BTW

Answers

Answer:

1/4 off

Step-by-step explanation:

1/4 is 0.25. 0.25 times 100 is 25. It would be 25% off. 25 is more than 20 and why buy 3 to get 1 free. Hope this helps!!!! Let me know if i'm right please.

How do I turn a decimal into a whole number? :)

Answers

There is a confusion here. “Decimal” is not a number set. “Whole numbers” is.

“Decimal” has been used to mean three different things about the representation of numbers:

- Numbers written using a base 10 place value system

- The decimal point that separates the integer and fractional parts of a number written in base 10. (Some countries use a comma. Some folks refer to the point used for this purpose in other bases as a decimal too for extra confusion.)

- A number written in the above form that has some numerals, probably nonzero, written to the right of the point. In other words, a number written in decimal form with a nonzero fractional part.

I'm guessing that the usage in this question is referring to the third meaning of “decimal” and will interpret the question as being not about representation of numbers but about transformation of numbers.

To wit, “What are some popular ways real numbers with nonzero fractional parts can be mapped to integers?”

I hope this is the correct interpretation.

There are a few common ways:

- Round towards zero: Ignore the fractional part and keep only the integral part.

- Floor: Take the greatest integer less than the number in question.

- Ceiling: Take the least integer greater than the number in question.

- Round to the nearest integer: Ignore the fractional part if it's less than a half. Otherwise, round away from zero.

These are the main ways of picking integers close to the number in question, but obviously, there are infinitely many ways to map sets of real numbers to mergers, so it is unclear if any of these are what the asker was looking for.

Answer:

if the number after the decimal is 5 or more then round the number before decimal by 1

Step-by-step explanation:

for example:

1234.5

=1235

or

6974.7

=6975

or

7796.4

=7796 (No change on the last number because the number after the decimal is 4, which is under 5)

An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, 30 taxi drivers receive a bottle of the additive to use the next time they fill their gas tank. The drivers then compare their gas mileage with the additive to their gas mileage before the additive was used.

What is the response variable in this scenario?

the age of the car
the 30 cars used in the study
the use of the additive
the gas mileage after the additive is used

Answers

Answer:

The answer is D. the gas mileage after the additive is used

Step-by-step explanation:

I got 100% on edg!

Answer:

d

Step-by-step explanation:

edge2o2o

PLEASE HALP ASAP MARKING BRAINLEIST

Answers

Answer: y = (4/3)x - 7

Explanation

Answer:

y=4/3x-7

Step-by-step explanation:

The slope intercept formula y=mx+b, m being the slope and b being the y-intercept so all we have to do is find those and plug them in to get the answer.

Other Questions
There are 12 teams in the Jayhook Hockey League. Each team plays every other team twice per season, once at home and once away from home. Last season 34 of the matches played resulted in a tie. Of the others, 18 more were won by the home team than by the away team. 1: How many games did any one particular team play? Why is it important to pasteurize certain liquids? Kayla is given a monthly allowance. She uses 40% of this allowance to purchase a designer bag, and then donates $15 to a charity. If she ends up with $155, which of the equations below can be used to determine what her monthly allowance was?a. 0.40 X -15 = 155b. 40 X + 15 = 155c. 0.60 X - 15 = 155d. 60 X -15 = 155 3w-5>2w+-7 and 6(c+3) 2+-3 What idea is emphasized through repetition? What role did the United States policy of interventionism have on Latin America societies? What is 5[cos(Pi/4) + I sin (pi/4)] raised to the 3rd power? why is it important for the oceans and the atmosphere to retain solar radiation?a.) if solar radiation is not retained, the earth will be figid at night and the world temperatures will be extreme.b.) if solar radiation is not retained, the earth will be very hot at night but the world temperature will be moderate. Which tool is used for cutting bricks and other masonry materials with precision? an object has an mass of 15 kg and is falling at a rate of 2.0 m/s what is the momentum? What is the solution for the system below?4-20244(2,0)(0-2)0 (1-1) 3x-4+7x-8-10x-2Simplify The process for applying for a work permit at the Manchester department of labor is as follows. First, the administrator fills out an application (5 minutes) and takes a picture (1 minute). Then, a clerk enters the information and processes the permit (5 minutes). There are two administrators and three clerks. If the number of licenses per hour for the administrators is 16 and the number of licenses per hour for the clerks is 20.57, what is the hourly service rate for administrators Failing to think critically, is more dangerous than failing to think creatively.TrueFalse 3What is the decimal equivalent of 3/9? (5 points)0.20.3.40.5 Building meaningful relationships with persons of racesdifferent from one's own can result in:O A. ignoring people who make negative commentsabout other people based on their race.B. being an advocate for racial inequality.C. helping the United States move toward its ideal of allpeople being equal.O D. discouraging the government to end institutionalracism. 1 Which expression is equivalent to 1/3y?A 1/3(y+12)-12B 1/6y+1/3(y+3)C 1/6y+1/6(y+12)-2D 1/3y+1/3(6-y) 1. Les gants de Stphane sont ____2. Le tee-shirt d'Amina est ____3. La robe de Sandrine est ____4. Le blouson de Stphane est ____5. Le chemisier de Valrie est ____6. La jupe d'Amina est ____7. La calculatrice de Stphane est ___8. Les ballons sont ____ On the weather map, what does the symbol shown below represent?A curved line with half circles is shown Flurries Showers T-Storms Warm Front What is an essential reason for evaluating sources for a research paper?A. to make sure they provide unique information on the topicB. to make sure they provide credible information on the topicC. to make sure they provide contrasting opinions on the topicD. to make sure they provide interesting opinions on the topic