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finlep [7]
3 years ago
12

HELP SOMEONE PLEASE HELP

Mathematics
1 answer:
romanna [79]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Evaluate the numerator/ denominator using order of operations

numerator = 16 + 2(4 × 2)

using the order parenthesis, multiplication followed by addition

= 16 + 2(8) ← evaluating parenthesis

= 16 + 2 × 8

= 16 + 16 ← performing multiplication

= 32 ← addition

denominator = 8 + 2³

using the order exponents then addition

= 8 + 8 ← evaluating exponent

= 16 ← addition

Hence

\frac{numerator}{denominator} = \frac{32}{16} = 2 → B


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Answer:

Step-by-step explanation:

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Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality 2 \frac{3}{5} < b - \frac{8}{15}\\\\ is the same as \frac{13}{5} < b - \frac{8}{15}\\\\

---------------------

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

---------------------

Now isolate the variable b

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Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

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y = 4

first note that the right side simplifies to 12, equation can be written

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