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Alisiya [41]
3 years ago
7

Show your work: Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.

Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

x = 0.45*160

x = 72.57 kg

160 lbs = 72.57kg

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2000-1996=4 forks

2000-1745=255 knives

since there are extra spoons it is reversed-->2116-2000=116 spoons

the owner needs 4 forks,255 knives and there are 116 extra spoons


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3 years ago
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B

Explanation:

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2 years ago
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3 years ago
Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5
abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

|z-6|-|z-5|,\ if\ z

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

|z-6| and |z-5|

Using the definition of absolute value function as per above definition.

|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z

|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression |z-6|-|z-5|,\ if\ z will be equivalent to :

-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}

So, the expression is equivalent to <em>1</em>.

6 0
3 years ago
The length of a rectangle is 7/6 its width, w. Which expression represents the perimeter of the rectangle?
Hitman42 [59]
If the length is 7/6 the width w then the perimeter is w + (7/6)w + w + (7/6w)
= 2((7/6)w + w) = 2w + (14/6)w = (26/6)w = (13/3)w.
So the answer is the last one.
3 0
4 years ago
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