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madam [21]
3 years ago
5

a metal bar weighs 8.15 ounces. 93% of the bar is silver. how many ounces of silver are in the bar? (round to the nearest thousa

ndth)
Mathematics
2 answers:
masya89 [10]3 years ago
6 0
7.6 ounces of silver
fgiga [73]3 years ago
4 0

Answer: 7.560 ounces

Step-by-step explanation:

Given : The weight of a metal bar = 8.15 ounces

Also, it is given that : 93% of the bar is silver.

We can write 93% as 0.93  [To convert percent into decimal or fraction , we divide it by 100.]

Now, the amount of silver in the metal bar = 93% of 5.15 ounces

Replace 'of' by '×' and '93%' by '0.93' , we get

The amount of silver in the metal bar = 0.93\times8.15\text{ ounces}

7.5795\approx7.560\text{ ounces}

Hence, there are 7.560 ounces of silver in the metal bar.

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Ivenika [448]
Check the procedures in the picture attached.

1. Since we are using direct substitution, the only thing we need to do is replace x by 6 (the quantity x is approaching to) in our quantity to get:
x^{2} -6=0^{2} -6=-6
We can conclude that the correct answer is B) -6

2. Again, since we are using direct substitution, th only thing we need to do is replace x by 3 (the quantity x is approaching to) to get:
x^{2} +8x-2= 3^{2} +8(3)-2=9+24-2=31
We can conclude that the correct answer is D) 31

3. Direct substitution again, so we are going to replace x in our quantity by \frac{ \pi }{2} to get:
2e^{ \frac{ \pi }{2} } cos \frac{ \pi }{2}
 And since cosine of \frac{ \pi }{2} is 0, and any quantity multiplied by zero is zero:
2e^{ \frac{ \pi }{2} } (0)=0
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4. Here we need to so some algebra first. Notice that if we use direct substitution, the denominator will be zero, and we cannot divide by zero. So lets massage our quantity first:
\frac{ x^{2} -4}{x-2} =  \frac{ x^{2} - 2^{2} }{x-2} = \frac{(x-2)(x+2)}{x-2} =x+2
Now, we can use direct substitution to get:
x+2=2+2=4
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