The garden bed has a width of 1.5 meters and an area of 6 square meters . Which Equation and Solution correctly represent x , the length , in meters , of the rectangular garden bed

Answer:

The answer is D

192 pi = pi (5) squared h

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

It points out to find the height and it already gives you the volume and radius so all you have to do is plug in those to #'s.

So the "V" is always going to go first then the equal sign the the pi sign then a number followed by squared.

Right after that you should have an "H" which is the height you have to use to multiply.

Answer:

x+10=24

Step-by-step explanation:

the actual equation would give you 14

To represent the situation, you can use the equation x = 24 - 10 or the proportion x/24 = 10/24.

To represent the situation, we can use the equation: x = 24 - 10, where x represents the amount of water Mai drank. This equation represents the fact that the initial amount of water in the bottle (24 ounces) minus the amount of water that Mai drank (x ounces) equals the remaining amount of water (10 ounces).

Alternatively, we can also use the proportion x/24 = 10/24 to represent the situation. This proportion shows that the ratio of the amount of water Mai drank to the initial amount of water in the bottle is equal to the ratio of the remaining amount of water to the initial amount of water.

Answer:

c.

Step-by-step explanation:

2x² - 4x - 3 = 0

[tex]x= \frac{-b+/-\sqrt{b^{2}-4ac} }{2a} \\\\x= \frac{-(-4)+/-\sqrt{(-4)^{2}-4*2*(-3)} }{2*2} \\\\x= \frac{4+/-\sqrt{16+24} }{4} \\\\x= \frac{4+/-\sqrt{40} }{4} = \frac{4+/-2\sqrt{10} }{4}=\frac{2+/-\sqrt{10} }{2}[/tex]

Answer:

10 centimeters

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

[tex]12\frac{1}{426}[/tex]

Step-by-step explanation:

please check the attached files for more explanation

A divisor is a number that divides another number either completely or with a remainder and the divisor  [tex]5113[/tex] is divided by [tex]426[/tex] is [tex]12[/tex].

What is divisor ?

The divisor is any number that divides another number. A factor, however, is a divisor that divides the number entirely and leaves no remainder. So, all factors of a number are its divisors. But not all divisors will be factors.

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The solution using the "Long Divison Method'

Now, start the divisor [tex]426[/tex] on the left side and the dividend [tex]5113[/tex] on the right side :

      12

[tex]\sqrt[426]{5113} \\426\\----\\853\\852\\----\\1[/tex]

Hence, the result of the divisor  [tex]5113[/tex] divided by [tex]426[/tex] is [tex]12[/tex].

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What is 8% of 24.52=   1.9616  

just round up

Answer:

What is 8% of 24.52=   1.9616  

Step-by-step explanation:

round it

Answer:

Mark sold 268 adult tickets.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of students ticket sold and y be the number of adult tickets sold.

Total number of tickets sold = 445

Thus, we can write the equation:

[tex]x + y = 445[/tex]

Cost of student ticket = $3

Cost of an adult ticket = $5

Total income = $1871

Thus, we can write the equation:

[tex]3x + 5y = 1871[/tex]

Solving the two equations, we get,

[tex]3x + 5y - (3x+3y) = 1871 - 3(445) \\2y = 536\\\Rightarrow y = 268\\\Rightarrow x = 445 - 268 = 177[/tex]

Thus, Mark sold 268 adult tickets.

Answer:he sold 268 adult tickets at the school play

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

its right

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the exponential decay formula to solve the problem.

The formula for exponential decay is:

[tex]A = A_0e^{-kt}[/tex]

where:

A₀ = initial amount

A = amount remaining after time t

k = decay rate constant

t = time

We can find the decay rate constant k using the given percentage decay per minute.

If the element decays by 27.5% per minute, then the decay rate constant is:

k = ln(1 - 0.275) = -0.3185

where ln is the natural logarithm.

Let's substitute the given values into the formula and solve for t:

[tex]2 = 120 e^{-0.3185t}[/tex]

Divide both sides by 120:

[tex]0.0167 = e^{-0.3185t}[/tex]

Take the natural logarithm of both sides:

ln(0.0167) = -0.3185t

t = ln(0.0167) / (-0.3185)

t ≈ 9.9 minutes (to the nearest tenth of a minute)

Therefore,

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

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If the length of the rectangle is x, then we know the width is x + 1.

The area of a rectangle is length · width, so we can substitute as x · (x + 1)

Now, we now x · (x + 1) = 42

Expand

x² + x = 42

Solve

x² + x - 42 = 0

(x + 7)(x - 6) = 0

So, x = 6

That means the length is 6 meters and the width is 7 meters.

The dimensions of the rectangle are:

Width, W = 7 meters

Length, L = 6 meters

Let's denote:

L = the length of the rectangle

W = the width of the rectangle

Given that the length of the rectangle is 1 meter less than its width, we can write the equation:

L = W - 1

We're also given that the area of the rectangle is 42 square meters. The formula for the area A of a rectangle is:

A = length × width

Substituting the given values, we have:

42 = (W - 1) × W

Now, let's solve this equation for W to find the width of the rectangle.

42 = [tex]W^2[/tex] - W

Rearranging terms, we get a quadratic equation:

[tex]W^2[/tex] - W - 42 = 0

Now, we can solve this quadratic equation by factoring or using the quadratic formula. Factoring seems simpler in this case:

Product = 1 × -42 = -42

Sum = -1

Required numbers: 6 × -7

[tex]W^2[/tex] - W - 42 = 0

[tex]W^2[/tex] + 6W - 7W - 42 = 0

W (W + 6) - 7 (W + 6) = 0

(W - 7) (W + 6) = 0

Setting each factor equal to zero gives us two possible values for W:

W - 7 = 0 or W + 6 = 0

Solving each equation:

W = 7

W = -6

Since the width of the rectangle cannot be negative, we discard W = -6.

So, the width of the rectangle is W = 7 meters.

Now, to find the length L, we can use the equation L = W - 1:

L = 7 - 1

L = 6

The question is:

The length of a rectangle is 1 meter less than its width. The area of the rectangle is 42 square meters. Find the dimensions of the rectangle.

 The faster pipe will fill the pool in 6 hours and the slower pipe will fill the pool in 12 hours.

Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.

Given here, two pipes fill the pool in 4 hours if they work together and If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours.

Let volume of the pool be LCM(9,4)= 36 unit³ and their efficiencies be E₁ and E₂ respectively then we have E₁+E₂ = 36/4

                                                                   =9 units

Also  18/ E₁ +18/E₂ = 9

         putting E₁=9-E₂ we get

 18₁/ 9-E₂ +18/E₂ = 9

E²₂ -9E₂ +18        =0

(E₂ +3)  (E₂ -6)     =0

Therefore E₂ =6 units  as efficiency cannot be negative and consequently E₁ =3 units

Hence, if they are working alone they finish the work in 36/3 =12 hours and 36/6=6 hours respectively.

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Answer:

d^(j+k)

Step-by-step explanation:

d^j  * d^k

We know that a^b * a^c = a^(b+c)

d^(j+k)

The elevation of the whale is -300 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the whale swims down 300 feet to feed. The elevation of the whale will be:-

Elevation = -300 feet

Therefore, the elevation of the whale is -300 feet.

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The Greatest Common Factor (GCF) of 18 and 8 is 2. Using this GCF, 18 - 8 can be factored as 2 × (9 - 4).

(a)  To find the GCF (Greatest Common Factor), we need to determine the largest number that divides both 18 and 8 without leaving a remainder.

Prime factors of 18: 2 × 3 × 3

Prime factors of 8: 2 × 2 × 2

The only common prime factor is 2.

So, the GCF of 18 and 8 is 2.

(b)  We know that 18 - 8 = 10. To factor this expression using the GCF, we rewrite 10 as a product involving the GCF.

Factor out the GCF (2) from 18 - 8:

10 = 2 × (9 - 4)

So, 18 - 8 = 2 × (9 - 4).

Answer:

I THINK ITS A ;-;

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

the ordered pair is not a solution to the equation

Answer:

19 ft

Step-by-step explanation:

We are given that

[tex]\theta=70^{\circ}[/tex]

Height of bird from the ground=h=18 ft

We have to find the distance between the bird and its prey.

We know that

[tex]sin\theta=\frac{perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin70=\frac{18}{hypotenuse}[/tex]

[tex]hypotenuse=\frac{18}{sin70}=19.1 ft\approx 19ft[/tex]

Hence, the distance between the bird and its prey=19 ft

Answer:56.52

Step-by-step explanation: I just did it

Answer:(3x+5) (3x-5)

Step-by-step explanation: a2-b2 =(a+b) (a-b)  where a= 3x and b=5

Answer:

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0

Answer: That would be  a massive 1500% increase from 16 to 240

Step-by-step explanation:

[tex]45m - 900 = 90m \: [/tex]

[tex]45m - 90m = 900[/tex]

[tex] - 45m = 900[/tex]

[tex]m = \frac{900}{ - 45} = - 20[/tex]

Answer:

m=-20

Step-by-step explanation:

45m -900=90m

-900=45m

-900/45=45m/45

m=-20

Answer:

Step-by-step explanation:

-3p² - p - 2 = 0

a = -3; b = -1 c = -2

[-b ±√(b² - 4ac)]/2a = [1 ± √(1-4*-3*-2) ] /2*-3

=[1 ± √(1-48) ]/-6

= - [1 ±√-47]/6

= - [1 ±√47i]/6

Answer:

[tex]\large \boxed{f(x) = 10(2)^{ x}}[/tex]

Step-by-step explanation:

Write a table giving the number of cattails for the first few months

[tex]\begin{array}{lr}\mathbf{x} & \mathbf{f(x)}\qquad \qquad\quad \\0 & 10 = 2^{0}(10) = 10(2)^{0}\\1 & 2(10) = 2^{1}(10)= 10(2)^{1} \\2 & 2\times2(10) = 2^{2}(10)= 10(2)^{2} \\3 & 2\times 2^{2}(10) = 2^{3}(10)= 10(2)^{3}\\4 & 2\times 2^{3}(10) = 2^{4}(10)= 10(2)^{4}\\\end{array}\\\text{The pattern appears to be $\large \boxed{\mathbf{f(x) = 10(2)^{\mathbf{x}}}}$}[/tex]

Answer:

A

Step-by-step explanation:

but it prob doesnt help tho

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

12x=15-3y

+3y

12x+3y=15

-12x

3y=-12x+15

/3

y=-4x+15

Gradient= -4 as in the equation y=mx+c

, m=the gradient therefore the gradient is -4

Answer:

-4

Step-by-step explanation:

12x=15-3y   +3y

12x+3y=15    -12x

3y=-12x+15    /3

y=-4x+15

 Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

Hope I helped! :)

Answer:

Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

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Step-by-step explanation:

Given:

The length of the entire rectangle is 10x + 7.

The width of the entire rectangle is 6x.

The length of the unshaded rectangle is 4x - 5.

The width of the unshaded rectangle is 2x.

We need to determine the area of the shaded region of the rectangle.

Area of the entire rectangle:

The area of the entire rectangle can be determined using the formula,

[tex]A=length \times width[/tex]

Substituting the values, we have;

[tex]A_1=(10x+7)(6x)[/tex]

[tex]A_1=60x^2+42x[/tex]

Thus, the area of the entire rectangle is 60x² + 42x

Area of the unshaded rectangle:

The area of the unshaded rectangle can be determined using the formula,

[tex]A=length \times width[/tex]

Substituting the values, we have;

[tex]A_2=(4x-5)(2x)[/tex]

[tex]A_2=8x^2-10x[/tex]

Thus, the area of the unshaded rectangle is 8x² - 10x

Area of the shaded region of the rectangle:

The area of the shaded region of the rectangle can be determined by subtracting the area of the entire rectangle by the area of the unshaded rectangle.

Thus, we have;

[tex]A=A_1-A_2[/tex]

Thus, we have;

[tex]A=60x^2+42x-(8x^2-10x)[/tex]

[tex]A=60x^2+42x-8x^2+10x[/tex]

[tex]A=52x^2+52x[/tex]

[tex]A=52x(x+1)[/tex]

Thus, the area of the shaded region of the rectangle is 52x(x + 1)