A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.

(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.

(b) Solve the system of equations and determine the lengths of the two pieces of wire.

Answers

Answer 1

Answer:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

So one side is 5

Other side is 2


Related Questions

If you spin the spinner, what is the probability of the pointer landing in the y section

Answers

Answer:

1/8

Step-by-step explanation:

What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2

Answers

the answer is y=1/2x+2

Explanation:
When you do rise over run you get 1/2. For the y-intercept you can see the line touches 2 so the y-intercept is 2.
last one, .............

Times it by 6 and take away 10 and the result is 44

Answers

Answer:

(for your second question) 23.69

Step-by-step explanation:

(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner

Answers

SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

What is solution of 5(x - 3)=4(x + 2)

Answers

Answer:

x=23

Step-by-step explanation:

You simplify both sides of the equation, then isolate the variable.

Answer:

x=23

Step-by-step explanation:

fred sold half of his comic books and then bought 8 more he now has 16 how many did begin with

Answers

He started with 16 because he sold half so add half and that would be 16 ;)

Answer:

16 I think

Step-by-step explanation:

If he now has 16 and he bought 8 you have to do 16-8 which is 8. He sold half and got to 8. Half of 16 is 8. (Sorry if that didn't make sense)

I hope this helped!

Plz help I do t have much time!!!!!!!!! Which expression is represented by the model?

A.
B.
C.
D.

Answers

Answer:

4x-3 or A

Step-by-step explanation: because there are 4 x's and 3 "-" which makes it 4x-3

Answer:

Hi, this is a strange problem but I believe the answer is A) 4x-3.

Step-by-step explanation:

I think the X symbols represent "X"es and the dashes represent single negative digits. I may be wrong, but I think this is what your teacher is most likely looking for. Good luck! :)

Which table represents a nonlinear function?

Answers

Answer: c

Step-by-step explanation:

A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?

Answers

Answer:

Tax amount = $15.00 x 0.06 =0.9

Total amount of the basketball = $15.00 x 1.06 = $15.90

Answer:

Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90

Step-by-step explanation:

SOMEONE FIND THE PERIMETER OF THIS SHAPE AND ILL GIVE BRAINLIEST IF UR RIGHT

Answers

Answer:

28cm

Step-by-step explanation:

7x4

or

7+7+7+7


Q1. The volumes of two spheres are 640 cm3 and 270 cm3. Find the ratio of
their diameters. Plz help cie igcse math

Answers

Answer:

Formula

V=4/3[tex]\pi[/tex]R³ => R = ∛3V/4[tex]\pi[/tex]

With V1 = 640 cm³ and V2=270 m³

[tex]\pi[/tex] = 22/7

=> You can substitute the numbers above to calculate R1 and R2

Step-by-step explanation:

Have fun

Answer:

[tex]\boxed{\text{\sf \Large 4:3}}[/tex]

Step-by-step explanation:

Volume of sphere=4/3πr³

1. 4/3πr³=640

  r=5.346018

  d=10.692036

2. 4/3πr³=270

   r=4.009514

   d=8.019028

Simplify ratio

10.692036 : 8.0190284:3

A travelers ground speed is 2 feet per second against the walkway and 8 feet per second with the walkway, what is the travelers speed off the walkway, what is the speed of yhe walkway

Answers

Answer:

The traveller's speed is 5ft/s and the walkway speed is 3ft/s

Step-by-step explanation:

Given

Represent the traveller's speed with T and the walkway's speed with W.

When the traveller walk against the walkway, we have:

[tex]T - W = 2[/tex] ---- i.e. 2ft/s against the walkway

When the traveller walk with the walkway, we have:

[tex]T + W = 8[/tex] ---- i.e. 8ft/s with the walkway

Required

Solve for W and T

[tex]T - W = 2[/tex] --- (i)

[tex]T + W = 8[/tex] --- (ii)

Add (i) and (ii)

[tex]T + T - W + W = 2 + 8[/tex]

[tex]T + T = 2 + 8[/tex]

[tex]2T = 10[/tex]

Divide both sides by 2

[tex]\frac{2T}{2} = \frac{10}{2}[/tex]

[tex]T = \frac{10}{2}[/tex]

[tex]T = 5[/tex]

Substitute 5 for T in (ii)

[tex]T + W = 8[/tex]

[tex]5 + W = 8[/tex]

Make W the subject

[tex]W = 8 - 5[/tex]

[tex]W = 3[/tex]

Hence, the traveller's speed is 5ft/s and the walkway speed is 3ft/s

Michelle lives 4.5 miles from work. Kelly lives 5.6 kilometers from work. Staci lives 4,200 meters from work. Kyle lives 670,000 centimeters from work.

Answers

Answer:

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Step-by-Step Explanation:

1 kilometer = 0.62137119 mile(s)

4.5 miles = 0.62137119 × 4.5 = 2.79617036 kilometers

4,200 meters = 4.2 kilometers

670,000 centimeters = 6.7 kilometers

So,

Michelle = 2.8 kilometers (rounded up)

Kelly = 5.6 kilometers

Staci = 4.2 kilometers

Kyle = 6.7 kilometers

So,

Michelle < Staci < Kelly < Kyle

Kyle is the greatest distance from work, while Michelle is the closest to work.

Hope this helps! ^^

Helppppppppppppppppppppp due in 2hrs

plz watch for more questions

Answers

Answer:

2x = 3

Step-by-step explanation:

Here we have a balanced equation using the hanger method.

The left side shows two x'es, so the left side of the equation should be 2x.

The right shows three units with a value of "1", so the right side of the equation should be 3.

As a result, 2x = 3 is our final answer.

what is 5+1 please hurry

Answers

Answer: 6

Step-by-step explanation:

3 which number line best represents 2÷1/4​

Answers

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me

Answers

Answer:

The ratio is 20:30, or 2:3 in simplest form

Plzzzzz give me Brainliest!  

Answer:

2/5 or 40%

Step-by-step explanation:

20 out of fifty is hard so make it 40 out of 100 and it's easy 40%

The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answers

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

HELP PLEASE!! Type the correct answer in each box. The graph shown is not a function because points (-1, 2)

Answers

Answer:

(-1,0)

Step-by-step explanation:

Look to see which points have the same x value (in this case -1)

The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.

Answers

Answer:

6

Step-by-step explanation:

it as a interior angle of a regular polygon is 23

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.

Answers

Answer:

31.4

Step-by-step explanation:

first you take your radius of 5 and times it by 2.

5 x 2 = 10

times 10 by pie

10 x 3.14 = 31.4

Write an equation in slope-intercept form perpendicular to the given equation through the given point
Y = -3x + 4
(6,-2)

Answers

Answer:

The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Step-by-step explanation:

We need to write an equation in slope-intercept form perpendicular to the given equation through the given point

y = -3x + 4

(6,-2)

The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope:

The given line is perpendicular to required line, so there slopes are opposite

The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)

The slope of required line is: [tex]m = \frac{1}{3}[/tex]

Finding y-intercept:

y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)

[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]

So, we get y-intercept b =0

Equation of required line:

So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:

[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?

Answers

Answer:

44

Step-by-step explanation:

Number who use balls only = 7 / 20

Number who use rings only = 3/7

Fraction who use both :

1 - (7/20 + 3/7)

1 - 0.7785714

= 0.2214285

If number of jugglers is less than 200

Number of jugglers who use both :

0.2214285 * 200

= 44.285714

Number of jugglers who use both should be about 44

HELPPP what is 2x - 5 by the Square root of 9

Answers

2x-15 is the answer for 2x-5 sq 9

Dusty earns $5 for every 10 newspapers he delivers. Write and graph an equation which shows how much he earns for each delivered newspaper. How much would he earn if he delivered 320 papers?

Answers

10x= 5
x= 1/2
For every 2 newspapers he gets $1.
320/10 times 5
32 times 5
Answer:
$250

When Joseph’s first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50.

Answers

Answer:

R(t) = 10 + 0.50t

Step-by-step explanation:



A 12 ounce latte costs $3.00. Write an equation that relates the cost in dollars, y, to the number of ounces, X.
a
y= 3x
y= 0.25%
y= 4x
y= 12x

Answers

y=0.25x because 3=0.25(12)

I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?

Answers

Answer:

4:7  7 being to total number of marbles (part to whole ratio)

There are 16 blue marbles were in the bag before I added more.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratio of blue marbles to yellow marbles is 4 : 3.

And,  If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Now,

Since, The ratio of blue marbles to yellow marbles is 4 : 3.

Hence, Number of blue marbles = 4x

Number of yellow marbles = 3x

And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.

Then, We can formulate;

⇒ 4x + 5 / 3x - 3 = 7x / 3x

⇒ (4x + 5) / (3x - 3) = 7 / 3

⇒ 3 (4x + 5) = 7 (3x - 3)

⇒ 12x + 15 = 21x - 21

⇒ 15 + 21 = 21x - 12x

⇒ 36 = 9x

⇒ x = 4

Thus, The number of blue marbles = 4x

                                                      = 4 × 4

                                                      = 16

Learn more about the ratio visit:

https://brainly.com/question/169670

#SPJ2

You plan to meet a friend at a local bowling alley on Sunday afternoon. Prior to bowling, you must pay an initial fee of $6.00 to rent shoes and will then pay $4.00 per game you play. Which equation (written in slope-intercept form) best models this scenario? Let y represent your total cost and x represent the number of games you play. Group of answer choices y = 4x + 6 y = 2x + 6 y = 6x + 4 y = 4x

Answers

Answer:

[tex]y = 4x + 6[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Fee = \$6.00[/tex]

[tex]Rate = \$4.00[/tex]

Required

Derive the linear equation

Let the number of games be x.

Let the total cost be y

So, if the rate of 1 game is $4

Then x games costs 4x

The total cost (y) is then calculated as:

y = Initial Fee + Cost of x games

Substitute values for initial fee and cost of x games

[tex]y = 6 + 4x[/tex]

Rewrite as:

[tex]y = 4x + 6[/tex]

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