Mathematics, 26.06.2019 11:30 Packergood

198.9 grams = ounces solve using proportions

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Answer from: smiley29162

7.016 oz

Step-by-step explanation:

(x oz)/(198.9 g) = (1 oz)/(28.349523125 g) . . . . . . . exact conversion factor

Multiply by 198.9 g.

... (x oz) = (198.9 g)×(1 oz)/(28.349523125 g)

... x oz ≈ 7.016 oz . . . . . rounded to 4 significant figures

Comment on this conversion

A US pound is defined in metric terms as 0.45359237 kg = 453.59327 g exactly. An ounce is 1/16 of a pound, so can be expressed exactly as 28.349523125 grams. The conversion in the other direction, ounces per gram, is a long repeating decimal that usually gets rounded after a few significant digits. It is appropriate to use an exact conversion, then round the result to the required precision.

Answer from: Quest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

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198.9 grams = ounces solve using proportions...

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