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2 years ago

13

Which is greater -3 or -1/3 ?

2 answers:

GenaCL600 [577]2 years ago

6 0

Answer:

<u>-1/3</u>

Step-by-step explanation:

because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.

Ad libitum [116K]2 years ago

3 0

Answer:

-1/3 is greater than -3

-3 < -1/3

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A farmer has 3000 feet of fencing to use on a new enclosure. The new enclosure will go up against existing fencing so one side d

andrew11 [14]

Answer:

375000 ft^2

Step-by-step explanation:

From the statement that we have that it would be 1 time the length and 2 times the width because one side is not necessary and also we must take into account that it would be divided by 3 equal enclosures therefore we will use 1000 feet (3000/3) so Therefore, the perimeter would be equal to:

1000 = l + 2 * w

we solve for w:

l = 1000 - 2 * w

Also the area is equal to:

A = w * l

replacing:

A = w * (1000 - 2 * w)

A = 1000 * w - 2 * w ^ 2

We derive:

A '= 1000 - 4 * w

Let's equal 0:

1000 - 4 * w = 0

w = 1000/4

w = 250

replacing and we calculate l:

l = 1000 - 2 * 250

l = 500

A = 250 * 500

A = 15,000 ft ^ 2

Which means that for each subdivision the maximum area would be 125000 square feet and the total would be:

125000 * 3 = 375000 ft ^ 2

4 0

3 years ago

A high school Band has a budget of $1500 this year. They plan to go to the State Competition which cost $450. How many Members o

zheka24 [161]

Answer:

n < 42

Step-by-step explanation:

450 + 25n < 1500 (Has to be less than 1500)

25n < 1500 - 450

25n < 1050

n < 42

6 0

3 years ago

Read 2 more answers

How many solutions does this system have?

gtnhenbr [62]

Answer:

There will be an infinite number of solutions.

Step-by-step explanation:

From the given system of equations, we have to find the solution.

The equations are

$y = \frac{3}{4}x - 5$ ........... (1) and

- 3x + 4y = - 20 .......... (2)

Now, simplifying the equation (1) we get

4y = 3x - 20

⇒ - 3x + 4y = - 20

which is nothing but the equation (2).

Therefore, the system of equations (1) and (2) are the same straight line.

Hence, there will be an infinite number of solutions. (Answer)

5 0

3 years ago

Read 2 more answers

Worth points! I don’t understand how to determine if two given function are inverse of each other. Please help in showing work.

umka21 [38]

Answer:

Yes, they are inverse functions.

Step-by-step explanation:

To determine if two functions are inverses of one another, put one in for the x in the other. If the result is f(x) = x, then they are inverses.

f(x) = $\sqrt[3]{x-5}$

f(x) = $\sqrt[3]{(x^3 + 5)-5}$

f(x) = $\sqrt[3]{x^3}$

f(x) = x

So therefore, they are inverse of each other.

4 0

4 years ago

A rectangle with an area of 8 ft² is dilated by a factor of 4. What is the area of the dilated rectangle?

prohojiy [21]

Answer:

Option 4) $128\ ft^{2}$

Step-by-step explanation:

we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

Let

z------> the scale factor

x-----> the area of the dilated rectangle

y----> the area of the original rectangle

so

$z^{2}=\frac{x}{y}$

we have

$z=4$

$y=8\ ft^{2}$

substitute and solve for x

$4^{2}=\frac{x}{8}$

$x=16(8)=128\ ft^{2}$

4 0

4 years ago

Read 2 more answers