25)

Classify each number below as a rational number or an irrational number.

givi [52]

Answer:

1. rational

2. irrational

3. rational

4. rational. square root of 9 is 3. negative sign implies -1. answer would -3

5. rational

Step-by-step explanation:

pi & square roots of non-perfect squares are irrational numbers

varsitytutors

8 0

2 years ago

A rectangular piece of land is to be fenced using two kinds of fencing. Two opposite sides will be fenced using standard fencing

damaskus [11]

Answer:

Therefore the dimension of the rectangular piece of land is 375 m by 250 m.

Step-by-step explanation:

Given that,

Two opposite sides of rectangular land will be fenced using standard fencing that costs $6 per m while the other two side will require heavy duty fencing that costs $9 per m.

Let the length and width of the rectangular x and y respectively.

Then total cost for fencing = $\$(2x\times 6+2y\times 9)$

=$(12x+18y)

Then,

12x+18y= 9,000

⇒ 2x+3y=1,500 [ cancel out common factor 6]

⇒3y= 1500 - 2x

$\Rightarrow y=\frac{1500-2x}{3}$ ....(1)

The area of the rectangular land is = Length × width

= xy

Let,

A=xy

Putting the value of y

$A=x.\frac{1500-2x}{3}$

$\Rightarrow A=\frac13(1500x-2x^2)$

Differentiating with respect to x

$A'=\frac13(1500-4x)$

Again differentiating with respect to x

$A''=-\frac43$

Now we have to determine the critical value of A.

For critical value set A'=0

$\frac13(1500-4x)=0$

⇒1500-4x=0

$\Rightarrow x=\frac{1500}{4}$

$\Rightarrow x=375$ m

Since, $A''|_{x=375}=-\frac43$ . at x=375 m the area of the rectangular piece of land is maximum.

From equation (1) we get when x=375

$y=\frac{1500-2\times 375}{3}$

⇒y=250 m

Therefore the dimension of the rectangular piece of land is 375 m by 250 m.

3 0

3 years ago

Anne has already knit 86 centimeters of scarf, and can knit 22 centimeters each night. After 21 nights of knitting, how many cen

vagabundo [1.1K]

Answer: 548

Step-by-step explanation:

She kit 426 in 21 nights = 22x21

And then you add how much she already finish

426+86=548

6 0

2 years ago

Max and Tyler collected 174 plastic bottles from the playground. Tyler collected twice as

drek231 [11]

The answer is 116.
You would do 174 / 3 since Tyler collect twice as many as max did, to get how much max has, and doubled it by doing 58 x 2

5 0

2 years ago

Standard form for y-5=6(x+1)

olga_2 [115]

Y−5x6=−1y-5x6=-1 AA must be positive, so multiply both sides of the equation by −1-1 .−1⋅(y−5x6)=−1⋅−1-1⋅(y-5x6)=-1⋅-1 Simplify the left side of the equation.Tap for more steps...Multiply −1-1 by y−5x6y-5x6 to get −1(y−5x6)-1(y-5x6) .−1(y−5x6)=−1⋅−1-1(y-5x6)=-1⋅-1 Apply the distributive property.−1y−1(−5x6)=−1⋅−1-1y-1(-5x6)=-1⋅-1 Rewrite −1y-1y as −y-y .−y−1(−5x6)=−1⋅−1-y-1(-5x6)=-1⋅-1 Simplify −1(−5x6)-1(-5x6) .Tap for more steps...Multiply −1-1 by −1-1 to get 11 .−y+1(5x6)=−1⋅−1-y+1(5x6)=-1⋅-1 Multiply 5x65x6 by 11 to get 5x65x6 .−y+5x6=−1⋅−1-y+5x6=-1⋅-1 −y+5x6=−1⋅−1-y+5x6=-1⋅-1 Reorder −y-y and 5x65x6 .5x6−y=−1⋅−15x6-y=-1⋅-1 5x6−y=−1⋅−15x6-y=-1⋅-1 Multiply −1-1 by −1-1 to get 11 .5x6−y=15x6-y=1

4 0

3 years ago

Read 2 more answers