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

what is the slope of the line
(2,9) (3,7)

Answers

Answer:

Slope = -2

Step-by-step explanation:

[tex]\frac{7-9}{3-2}=-2[/tex]

Step-by-step explanation:

imma have to think about that one

Evaluate the expression.

Answers

Answer:

40

Step-by-step explanation:

To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.

 3^3 + 3(4 + 1/3)

= 3^3 + 3(13/3)

= 27 + 3 x 13/3

= 27 + 13

= 40

Thomas has $10 to spend on lunch he decides to buy some chicken sandwiches which cost $2.75 each and one container of orange juice which cost $1.50 what is the maximum Number of chicken sandwiches Thomas can buy

Answers

Answer:

3

Step-by-step explanation:

10-1.50 is 8.5 and divide that by the cost

Which equation best represents the relationship between x and y in the graph? A) y = - 3 4 x - 3 B) y = - 4 3 x - 3 C) y = - 3 4 x - 4 D) y = - 4 3 x - 4

Answers

Given that the hypotenuse of the isosceles right triangle
=
14
,

the length of each leg
=
14

2
=
7

2
Check :
(
7

2
)
2
+
(
7

2
)
2
=
196
=
14
2
(OK)

Question 5 (2 points)
Here is a diagram of a softball field:
Outfield
Infield
110 ft
250 ft
Use this diagram to answer the questions below.
Use 3.14 to represent and round your answer to the nearest whole number. Type your answers in the boxes below.
HINT: For this problem we are going to assume the infield is a regular circle. Solve as if it is a circle.
1. The fence around the field (the whole perimeter of the shape) is about
feet
2. The area of the outfield is about
ft

Answers

a. The Length of the fence around the field = perimeter of quarter circle is  892.7 ft.

b. The area of the outfield is 39,584 sq. ft..

What is the circle about?

Note that:

Perimeter of circle = 2πrPerimeter of a quarter circle = 2r + 1/4(2πr).

a. The length of the fence around the field = perimeter of the quarter circle fence

= 2r + 1/4(2πr).

r = 250 ft

Put in the value

The length of the fence around the field = 2(250) + 1/4(2 × π × 250)

= 892.7 ft.

b. Size of the outfield = area of the full field (quarter circle) - area of the infield (cicle)

= 1/4(πR²) - πr²

R = radius of the full field = 250 ft

r = radius of the infield = 110/2 = 55 ft

Put in the values

Size of the outfield = 1/4(π × 250²) - π × 55²

= 49,087 - 9,503

= 39,584 sq. ft.

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use the chain rule to calculate y = (2u² + 3)⅓ and u = √(2x +1)

full method​

Answers

Answer:

Given the reference to the chain rule, I assuming by "calculate", you mean "take the derivative of", in which case we have:

For the first function:

[tex]y = (2u^2 + 3)^{\frac{1}{3}}\\\\\frac{dy}{du} = \frac{1}{3}(2u^2 + 3)^\frac{-2}{3}(4u)\\\\\frac{dy}{du} = \frac{4u}{3}(2u^2 + 3)^\frac{-2}{3}\\\\\frac{dy}{du} = \frac{4u}{3(2u^2 + 3)^\frac{2}{3}}[/tex]

and for the second one:

[tex]u = \sqrt{2x + 1}\\\\u = (2x + 1)^{0.5}\\\\\frac{du}{dx} = 0.5(2x + 1)^{-0.5}(2)\\\\\frac{du}{dx} = \frac{1}{\sqrt{2x + 1}}[/tex]

James purchased 3 pounds of steak for $21. Which equation can be used to determine the cost, y, to purchase
x pounds of steak?

Answers

Answer:

i belive its A

Step-by-step explanation:

y= 7 x or 21=7x3

y = 21 x=3

21 = 7x3

7x3=21

PLEASE ANSWER I REALLY NEED HELP

Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.

a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)

Answers

Plug in the x and y values in the inequality.
A) 4>2(5)-4 C) 16>2(10)-4
4>6 16>16


B) 1>2(0)-4 D) -1>2(2)-4
1>-4 -1>0

Solution B makes sense since 1 is greater than -4. Solution A and D does not because they are less than the y value. Solution C isn't either because the inequality is saying the y value is greater than the x value and not equal to.

The points lie on the given inequality y ≥ 2x-4 are  (0,1) and (10,16)

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that an inequality y ≥ 2x-4

We need to check whether the given points lie on the solution of the inequality or not,

1) (5, 4)

Put x = 5

2×5-4 = 10-4 = 6

4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,

2) (0, 1)

Put x = 0

2×0 - 4 = 0-4 = -4

1 ≥ -4, satisfying the condition hence lies on the solution.

3) (10, 16)

Put x = 10

2×10-4 = 20-4 = 16

16 = 16. satisfying the condition hence lies on the solution.

4) (2, -1)

Put x = 2,

2×2-4 = 4-4 = 0

-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,

Hence, points lie in the solution set of the inequality are (0,1) and (10,16)

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Anyone know the answer?!

Answers

Answer:

B

Step-by-step explanation:

the third and fourth ones

please help me with this

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

HOPE THIS HELPSSSS

The height of a hot air ballon is tracked as it makes trip from launch to the landing site. Look at the graph to determine what is happening at each labeled segment of the graph

Answers

Answer:

c

Step-by-step explanation:

The graph is gradually decreasing but stops

Answer:

Try A

Step-by-step explanation:

Given the equations y= 1/2x + 2 and y= -x - 1, what is the solution.

Answers

Answer:

(−2,1)(-2,1)

x=−2,y=1

Step-by-step explanation:

Tell me if it's correct

what is this equation simplified as?

Answers

Answer:

-14/25

Step-by-step explanation:

:D

A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will slips down one meter. Then how long does it take for the snail to reach the top of the coconut?

Answers

Step-by-step explanation:

18hr.

2m =1hr

but go 2m it will slips down 1m

is 1m =1hr

i am not sure

A plane started on the ground at ground level near the ocean. Upon taking off it climbed 9000 meters and leveled off. At the same time a submarine left from the same shoreline. It dove 250 meters down into the ocean. How many meters are there between the plane and the submarine.

(Integers / Dividing )

Answers

Sjskekskejejjekekekejrjekekekekekekekekejjejejejejejeekjekekekekkekekwk

Answer:

Step-by-step explanation:

you just add 9000 to 250 which is equals to 9250 the clue was at the very bottom. "How many meters are there between the plane AND the submarine" 'and' is automatically addition.

If each interior angle of a regular polygon measures ​120 , how many sides does the polygon​ have?

Answers

Answer:

the ans is 6 sides i guess

[tex]\huge\sf{Answer :- }[/tex]

Given :-

Each interior angle of regular polygon is 120°

To Find :-

Number of sides of the polygon

Formula :-

Interior angle of the polygon = [180(n - 2)]/n

where,

n = sides of the polygon

Solution :-

Let, The number of sides of polygon be n

By substituting values according to the formula,

➯ [180(n - 2)]/n = 120°

➯ 180n - 360 = 120n

➯ 180n - 120n = 360

➯ 60n = 360

➯ n = 360/60

➠ n = 6

Hence, The regular polygon have 6 sides

5. Rebecca bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 3.6 inches, and the height is 4 inches. Rebecca wants to fill each box with 20 pieces of candy. If each piece of candy is 0.8 in.³, will Rebecca be able to fit 20 pieces of candy into each candy box?

Answers

Answer:17.28 and yes

Step-by-step explanation:because I did it in school and I don’t remember how to do it

2. You need to work a total of 44 hours per week at your two jobs. Your job as a store clerk pays
$5.50 an hour, and your job as a landscaper pays $6.00 an hour. You need to earn $250.00 per
week to cover your expenses. Which system of equations shows the various numbers of hours
you can work at each job? C is the number of hours worked as a clerk, while L is the number of
hours worked as a landscaper.
A.
C +L = 44
5.50C + 6L = 250
B.
C + L = 250
5.50C + 6L = 44
C.
5.50C + L = 44
C + 6L = 250
D.
C + L = 44
6C + 5.50L = 250

Answers

I think that the answer is second one

The equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44, so option A is correct.

What is the equation?

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given:

You work a total of 44 hours per week at your two jobs, Your job as a store clerk pays $5.50 an hour, and your job as a landscaper pays $6.00 an hour, and the total money to be earned is $250 per week.

Calculate the equation as shown below,

5.50C + 6L = 250 and C + L = 44

Solve the above equation by using the elimination method,

C = 28 hours and L = 44 - 28 = 16 hrs

Therefore, the equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44.

To know more about equation:

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Phineas and Ferb are preparing to conduct experiments at Dataknee Incorporated. Phineas bought 4 beakers and 3 goggles for $33. Ferb bought 6 beakers and 2 goggles for $32. How much did each beaker and each goggle cost?

Enter your one-sentence interpretation in the space below.*

Also the problem to geth the sentence

Answers

Answer:

Beaker: $3, Goggles: $7

Step-by-step explanation:

~A ~ c ~ i ~ r ~ c ~ l ~ e ~ h ~ a ~ s ~ a ~ r ~ a ~ d ~ i ~ u ~ s ~ o ~ f ~ s ~ i ~ x ~ m ~ e ~ t ~ e ~ r ~ s.~
~W ~ h ~ a ~ t ~ i ~ s ~ t ~ h ~ e ~ c ~ i ~ r ~ c ~ u ~ m ~ f ~ e ~ r ~ e ~ n ~ c ~e ~ o ~ f ~ t ~ h ~ e ~ c ~ i ~ r ~ c ~ l ~ e ?~

~A ~ c i r c l e ~ h a s ~ a ~ r a d i u s ~ o f ~ s i x ~ m e t e r s.~
~W h a t ~ i s ~ t h e ~ c i r c u m f e r e n c e ~ o f ~ t h e ~ c i r c l e ?~

~A ~ c i r c l e ~ h a s ~ a ~ r a d i u s ~ o f ~ 6 ~ m e t e r s.~
~W h a t ~ i s ~ t h e ~ c i r c u m f e r e n c e ~ o f ~ t h e ~ c i r c l e ?~

~A ~ circle ~ has ~ a ~ radius ~ of ~ 6 ~ meters.~
~What ~ is ~ the ~ circumference ~ of ~ the ~ circle?~

~A circle has a radius of 6 meters.~
~What is the circumference of the circle?~

A circle has a radius of 6 meters.
What is the circumference of the circle?

Answers

Answer:

I already answered this question, the answer is A

12[tex]\pi[/tex]m

Answer:A

Step-by-step explanation:A

A sack has 1 apple and 16 oranges You pick one fruit. what is the chance its a apple ?

(A) 1/17

(B) 16/1

(C) 1/16​

Answers

It’s c because there’s only one apple

Answer:

1/16

Step-by-step explanation:

Select the correct answers. Which two words or phrases indicate a cause and effect relationship? O first of all O likewise O for this reason O before because


PLEASE HELP ASAP​

Answers

Answer:

D. because

Step-by-step explanation:

ok

............°_°.............​

Answers

Answer:

3/4 and 0.95 would both result in a reduction.

Step-by-step explanation:

multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.

Hey again!

The answers to your question are 3/4 and 0.95

A reduction is making it smaller, and since 3/4 and 0.95 are smaller than 1, they result in a reduction

Hope it helps! Also, how many questions do you have left?

If f ( x ) = 3 - i and g ( x ) = 4i,

find f ( x ) g ( x )
Select one:
a. 12i + 3i
b. 11
c. 4i - 3i
d. 4 + 12i

Answers

Answer:

[tex]f(x)g(x) = (3 - i)(4i) \\ = 12i - 4 {i}^{2} \\ = \boxed{12i + 4 }\\ remember \:the \: value \: of \: {i}\: is \: \sqrt{ - 1} \\ and \: {i}^{2} \: is - 1 \\ d. (4 + 12i)\: is \: the \: right \: answer.[/tex]


The purpose of inverse trig functions is to identify the ____ that yield the given ____.
A) trigonometry function, value
B) value, angles
C) trigonometry function, angle
D) angle, value

Answers

Answer:

A

Step-by-step explanation:

Ok so I am pretty sure it’s A that’s why I think so yeah

PLEASE HELP FAST

decide if the following systems of equations have a single solution no solution or infinity many solution x+ 5y =9 _ x+5y=6

Answers

Answer:

no solutions

Step-by-step explanation:

I believe there are no solutions for these 2 equations.

Hope this helps!

What is the y intercept of the following equation -y+x=0

Answers

Answer:

0

Step-by-step explanation:

Answer:

y-intercept is 0

Step-by-step explanation:

because well you first have to put it in y=mx+b form, after you do that you have -y=0-x and you can't have a -y so you divide by -1 for 0 and -x 0/-1=0 and -x/-1=1 hope that helps

 this one is really hard

Answers

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Two triangles are similar. The corresponding sides have a ratio of 2;5. If the small triangle has a side length of 14 centimetrs, what is the measurement of the corresponding side of the larger triangle?

Answers

Answer:

35

Step-by-step explanation:

let the corresponding side of larger triangle be x .

Then,

2/5=14/x

→2x=70

→ x=35

Therefore the answer is 35

Write an equivalent expressions to 2x + 3 + 5x +6 by combining like terms Your standard form +

Answers

Answer:

7x+9

Step-by-step explanation:

combine like terms

plz brainliest!

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