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3 years ago

Kendra placed the numbers -3/8, 0.27, -0.3 and 4/7 on the number line. Which of the numbers is furthest from zero

1 answer:

8 0

In order to solve this, you're going to need something called "absolute value" (it's basically putting vertical lines around a term like |x| ). And you're going to use it for all the values you have, and find the largest number. This is simply because absolute value literally means the distance from zero. So, doing the problem for you: you'd start off by finding the absolute value for each of those values [3/8 ,0.27, 0.3, 4/7]. It is only a matter of finding out that 4/7 is the largest of those four numbers. Hope I helped :)

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What is the distance?(-4,2) (-2,-2)

slava [35]

It is 2x and 4y, so you need to use pythagorean theorem. 2 squared is 4, and 4 squared is 16. Add them, and you get 20. The problem is that that won't square to a whole number, so the closest I can get it is the square root of 20, or 2 root 4.

8 0

3 years ago

What is the radius of a circle what circumference is 44cm

LuckyWell [14K]

Hello!!

Circumference of a circle = 2πr

and

Given, 2πr = 44cm

So,

πr = 44/2 = 22

r = 22 × 7/22

r = 7cm is the answer.

Stay safe and God bless!

- eli <3

8 0

3 years ago

Read 2 more answers

A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.

Montano1993 [528]

Answer:

x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

area = xy +2(xz +yz)

volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

L = xy +2(xz +yz) +λ(xyz -8788)

partial with respect to x: 0 = y+2z +λyz

partial with respect to y: 0 = x +2z +λxz

partial with respect to z: 0 = 2x+2y +λxy

partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

λ = (y +2z)/(yz) = 1/z +2/y

λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

1/z +2/y = 1/z +2/x ⇒ x = y

The third equation then tells us ...

λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

1/z +2y = 2/x +2/y ⇒ z = x/2

This is the result we started the answer with:

x = y = 2z = ∛(2·8788 cm³)

7 0

3 years ago

3y-y+8-2=20<br> combine like terms and solve

Flauer [41]

3y - y + 8 - 2 = 20
3y - y = 2y
8 - 2 = 6
2y + 6 = 20
2y = 20 - 6
y = 10 - 3
the answer is: y = 7

4 0

3 years ago

2) True or False: Absolute value is always negative?|

german

Answer:

True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers