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3 years ago

When is the difference of two decimals equal to a whole number?

Mathematics

1 answer:

trasher [3.6K]3 years ago

4 0

Answer:

The sum (or difference) of two decimals is a whole number when the sum (or difference) of the integers to the right of the decimal points is 0.

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A new Outdoor recreation Center is being built in Erie. The perimeter of the rectangular playing field is 456 yards. The length

MAVERICK [17]

Answer:

$P= 456 = 2X +2Y$ (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

$X = 4Y -7$

And replacing into equation (1) we got:

$456= 2(4Y-7) +2Y$

$456 = 8Y -14 +2Y$

$456 = 10Y-14$

Adding 14 in both sides we got:

$456+14 = 10Y$

And dividing 10 on both sides we got:

$Y=\frac{470}{10}= 47$

And then we can solve for X and we got:

$X= 4*47 -7=181$

Step-by-step explanation:

For this case we can set up the following notation:

X represent the lenght

Y represent the width

And since we have a rectangular playing filed the perimeter is given by:

$P= 456 = 2X +2Y$ (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

$X = 4Y -7$

And replacing into equation (1) we got:

$456= 2(4Y-7) +2Y$

$456 = 8Y -14 +2Y$

$456 = 10Y-14$

Adding 14 in both sides we got:

$456+14 = 10Y$

And dividing 10 on both sides we got:

$Y=\frac{470}{10}= 47$

And then we can solve for X and we got:

$X= 4*47 -7=181$

6 0

4 years ago

suppose you have 76 feet of fencing to enclose a rectangular dog pen. The function A=38x-x^2, where x= width, gives you the area

yan [13]

If A=38x-x^2 then

dA/dx=38-2x

d2A/dx2=-2

Since the acceleration, d2A/dx2 is a constant negative, when velocity, dA/dx=0, it will be an absolute maximum for A(x)

dA/dx=0 only when 38=2x, x=19

A(19)=38(19)-19^2

A(19)=722-361

A(19)=361 ft^2

So the maximum possible area is 361 ft^2

(This will always be true as the maximum possible area enclosed by a given amount of material will always be a perfect square...)

3 0

3 years ago

Hey This question is so confusing please help me out :(

Anika [276]

Answer:

Equation: 350 + 14 x 70

Answer: 1,330

Step-by-step:

Equation: 350 + 14 x 70

Answer: 1,330

Hope this helped! <3

7 0