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Paul [167]
3 years ago
6

What is the Unit rate of 12 dogs cost $300?

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
4 0

Answer:

$25 per dog

Step-by-step explanation:

$300/12 dogs=price per dog

KIM [24]3 years ago
4 0

Answer:

25

Step-by-step explanation:

You might be interested in
a square has a side length of x. A rectangle has a length that is 4 inches longer than the square and a width that is 2 inches s
vodomira [7]

Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

4 0
3 years ago
Select all of the following that are quadratic equations.
goldenfox [79]

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

8 0
3 years ago
If E = [9, -6], what is the length of E.
Marrrta [24]

Answer:

16

Step-by-step explanation:

Interval E contains (9,8,7,6,5,4,3,2,1,0,-1,-2,-3,-4,-5,-6)

so the numbers of the interval equals 16

3 0
3 years ago
Read 2 more answers
Amber says 2.76/6 gets an answer of 0.19.Is Amber's answer reasonable. (Choose One) A:No,because 0.2x3=0.6 B:No,because 0.2x6=1.
Butoxors [25]

Answer:

No, her answer is unreasonable because 0.2 * 6 = 1.2

Step-by-step explanation:

Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.

Looking at her division, 2.76/6 = 0.19

To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one

Thus, the division 2.76/6 = 0.19 is not a reasonable answer

5 0
3 years ago
Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y
oksano4ka [1.4K]

Answer: -1.0018*10^42

Step-by-step explanation:

The Euler Method in numerical analysis is used to approximate the solution to an initial value problem using the tangent line to the solution curve through the (x0,y0) to obtain such approximations.

The euler method equation is:

Yn+1 = Yn + h*f(Xn,Yn)

Where n = number of steps, h = Xn+1 - Xn, f(Xn,Yn) is the slope of the curve at (Xn,Yn).

Variables given in the equation

Y(X=0) = 9,

X0 = 0.

h = step = 0.2

f(X,Y) = X^2*Y - 12*Y^2

B

For the first step, n = 0 in the euler equation. Therefore we have:

Y1 = Y0 + h*f(X0,Y0)

Substituting the Y0 = 9 and X0 = 0 into the function f(X,Y) = X^2*Y - 12*Y^2 = 0^2*9 - 12*9^2 = -972.

Therefore Y1 = 9 + 0.2*(-972) = -185.4.

For n = 1

Repeating the same step with X1 = X0 + h = 0 + 0.2 = 0.2,

Y1 = -185.4,

h = 0.2.

Substitute the variables into the equation Y2 = Y1 + h*f(X1,Y1) and f(X1,Y1) = X1^2*Y1 - 12*Y1^2

Y2 = -82682.4672.

Continue the iterations following the steps above till the result is reached.

The summary of the iteration.

When n = 0, X = 0, Y = -185.4

When n = 1 , X = 0.2, Y = -82682.4672

When n = 2 , X = 0.4, Y = -1.6407*10^10

When n = 3, X = 0.6, Y = -6.4609*10^20

When n = 4, X = 0.8, Y = -1.0018*10^42

4 0
3 years ago
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