A school is planning to construct two rectangular play areas in the playground.
The length of play area A must be 1 foot longer than four times its width. The width of play area B must be 2 feet longer than the width of play
area A, and the length must be 2 feet longer than three times its own width. In
addition, the areas of the two play areas must be equal.
Write a system of equations to represent this situation, where y is the area of the play areas and x is the width of play area A. Which statement
describes the number and viability of the system's solutions?
ОА.
The system has two solutions, but only one is viable because the other results in a negative width.
B.
The system has only one solution, and it is viable because it results in a positive width.
c. The system has two solutions, and both are viable because they result in positive widths.
d. The system has only one solution, but it is not viable because it results in a negative width.

NEED THE ANSWER ASAP

Answer:

C

Step-by-step explanation:

using the formula for circumference of a circle.

2πr is the formula.

closest answer is 15.7 ft

Answer:

37+12 =49_218+54=4554472287/41

Answer:

C and D

Step-by-step explanation:

both the squareroot of 19 and 23 are irrational because their square toots have decimals that go on infinately

Answer:

i think it is A

Answer:

a. a×3= -30

a= -30-3

a= 33

Answer:

The answer is 17.6

Step-by-step explanation:

Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.

Answer:

answer is: 7x^2-14x+10

Step-by-step explanation:

Answer:2

\left(-3\times \:3\right)+15-2^2

=-9+15-2^2

-9+15-4

=6-4

6-4=2

the answer is 2

Answerloser

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

take your intial value multiplied but the value it's retaining. it's losing 4.5%, or .045, so it's keeping .055 of it's value, then to the power of 5 because it's 5 years later

Answer:

342 m/s

Step-by-step explanation:

1230x 1000 = 1230000

1230000 / 60 = 20500

20500 / 60 = 341.666 = 342

Answer: 3.4 * 10^(5)

Step-by-step explanation:

Answer:

a) attached below

b) 2a + b

Step-by-step explanation:

a) show that the expected monetary value of this game is infinite

Given that the probability of getting first head on nth toss = $2^n

attached below is the prove

b) what is the expected utility of this game

using the Logarithm ; [tex]U(x) = a log_{2} n + b[/tex]

x = number of dollars you have

attached below is a detailed solution to the given problem

Answer:

2650

Step-by-step explanation:

Ok so,

3000-(3.5(100))

3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)

so it would be:

3000-350

Simply subtract.

3000-350= 2650

Answer: 2650

Cheers! I hope you can understand it well.

Answer:

Perpendicular lines

Step-by-step explanation:

Brainliest plz

Hope this helped

Ty

Answer:

[tex]\huge\boxed{\sf GCF = x}[/tex]

Step-by-step explanation:

Firstly we'll factorize the terms:

45x³ = 3 * 3 * 5 * x * x * x

24x² = 2 * 2 * 2 * 3 * x * x

16x = 2 * 2 * 2 * 2 * x

The factor which is common in all three terms is:

= x

Hence GCF = x

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

800

Step-by-step explanation:

160 * 100% / 20% = 800

If 20% of a number is 160 then the original number is 800.

percentage, a relative value indicating hundredth parts of any quantity.

Given that 20% of number is 160

We need to find the original number.

Let the original number be x

Convert 20% to decimal value by dividing 20 with 100

20/100=0.2

Now multiply 0.2 with x which is equal to 160

0.2x=160

Divide both sides by 0.2

x=800

Hence, If 20% of a number is 160 then the original number is 800.

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Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

1/4 of a pie

Step-by-step explanation:

2 / 8 = 1/4

Answer: 8.3 m

Step-by-step explanation:

Given

The angle of declination is [tex]50^{\circ}[/tex]

Earthworm is [tex]7\ m[/tex] away from the base of the tree

Suppose h is the height of the tree

from the figure, we can write

[tex]\Rightarrow \tan 50^{\circ}=\dfrac{h}{7}\\\\\Rightarrow h=7\tan 50^{\circ}=8.3\ m[/tex]

Answer:

+ 2,345

Step-by-step explanation:

Above means positive, so the number would be positive.

Answer:

x 8 skeiehrieheodbdoeneorbro

Answer:

y-5=5/8(x-8)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-5-5)/(-8-8)

m=-10/-16

simplify

m=5/8

y-y1=m(x-x1)

y-5=5/8(x-8)

Answer:

25.6

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]

The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have two points (5, 13) and (-8, -9)

[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]

d = √(169+484)

d = 25.55 units ≈ 25.6 units

Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.

Learn more about the distance formula here:

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Answer:

the answer is 7 j

Step-by-step explanation:

b

Answer:

negative linear

Step-by-step explanation:

Answer:

A. A negative linear association

Step-by-step explanation:

The points are close enough for a line of best fit, therefore they are linearly associated and they are going down so it is negative association.

Answer:

the percentage is 36%

Step-by-step explanation:

The computation of the  percentage of 25 floors does Giovanni have left to reach his grandmothers floor is shown below:

= (25 floor - 16 floor) ÷ (25 floor)

= 9  floor ÷ 25 floor

= 36%

Hence, the percentage is 36%

Answer:

x= 3

Step-by-step explanation:

Move all the terms that do not contain x to the right side and solve.

Hope this helped!

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