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Llana [10]
3 years ago
9

A troy ounce is equal to 480 grains and 1 grain is equal to 64.8 milligrams. if the price of gold is $560 per troy ounce, what i

s the cost of 1 g of gold
Mathematics
1 answer:
Sveta_85 [38]3 years ago
3 0
For this problem, let's use the approach of dimensional analysis. This technique is done by cancelling out like units that appear both on the numerator and the denominator side. As a result, this technique will let you know that your final answer conforms to what parameter is asked. In this case, the final answer should be in $. The solution is as follows:

$560/troy ounce * 1 troy ounce/480 grains * 1 grain/64.8 mg * 1000 mg/1 g * 1 g = $18
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If y varies directly as x and inversely as z, and y = 32 whe x = 4 and z = 6, find y when x = 10 and z = 26
satela [25.4K]

The value of y is 18.46 when x=10 and z = 26

Step-by-step explanation:

The direct proportion is denoted as:

y∝x

And the inverse proportion will be denoted as:

y∝1/z

combining both

y∝ x/z

When the symbol of proportionality is removed, the proportionality constant is introduced

y = k\frac{x}{z}

Given

y = 32 when x=4 and z = 6

Putting the values

32 = k * \frac{4}{6}\\k = 32 * \frac{6}{4}\\k = 8*6\\k = 48

So the equation will become:

y = 48* \frac{x}{z}

Putting x=10 and z= 26

y = 48 * \frac{10}{26}\\y = \frac{480}{26}\\y = 18.4615

Hence,

The value of y is 18.46 when x=10 and z = 26

Keywords: Proportion, variation

Learn more about proportion at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

7 0
3 years ago
I need the solution
Vikki [24]

Answer:

=3/4

Step-by-step explanation:

3 (c+d)         2c-2d

-------------- * -------------

(c-d)             8c+8d


Factor the right had term.  The numerator can factor out a 2 and the denominator can factor out an 8.

3 (c+d)         2(c-d)

-------------- * -------------

(c-d)             8(c+d)

We can cancel the (c+d) in the numerator the left and the denominator on the right.  We can cancel the (c-d) in the numerator on the right and the denominator on the left

3                  2

-------------- * -------------

1                   8

We can divide the fraction on the right by 2 on the top and bottom.

3                  1

-------------- * -------------

1                   4

=3/4

4 0
3 years ago
Which expression represents the product of 4 and the difference of 17 and 9 which one is correct 4+(17+9) or 4+(17-9) or 4 times
VikaD [51]

Answer:

the answer is 4 × (17 - 9)

difference = 17 - 9

product 4 times

8 0
2 years ago
What is the value of a when we rewrite 15^x as a^x/6
jarptica [38.1K]

Answer:

a = 11,390,625.

Step-by-step explanation:

a^x/6 =  (a^1/6)^x  

(a^1/6)^x = 15^x  so:

a^1/6 = 15

1/6 ln a = ln 15

ln a = 6 ln 15

ln a = 16.2483

a = 11390625.

4 0
3 years ago
2. Round the following numbers to the nearest 10 thousand:
Vlad [161]

The  values of the given numbers when it is rounded up to the nearest 10 thousands are:

  • 990000
  • 150000

<h3>What is rounding up in mathematics?</h3>

Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.

It should be noted that in rounding the  a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .

From the given values, we are given the 990,201 and 159,994  and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000

and 150000.

Read more about rounding up at:

brainly.com/question/28324571

#SPJ1

8 0
1 year ago
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