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3 years ago

Evaluate the following log32-log64+log16

2 answers:

7 0

Using properties of logarithms:

log(m+n) = log(m.n)

log(m-n) = log (m/n)

we get,

log(32x16/64)

On simplifying:

log(8)

and 8= 2^3

therefore,

log(2^3)

again using another property for exponents in logarithms we get:

3 log 2 <---- Answer

Vinil7 [7]3 years ago

5 0

Answer:

3/2

Step-by-step explanation:

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Aubrey worked at the concession stand during a recent sporting event at her high school. During the first hour of the event, she

ella [17]

Answer:

cost of nachos = $3.45

Cost of tacos = $1.5

Step-by-step explanation:

Let

x = cost of nachos

y = cost of tacos

11x + 18y = 64.95 (1)

6x + 15y = 43.20 (2)

Multiply (1) by 6 and (2) by 11 to eliminate x

66x + 108y = 389.70

66x + 165y = 475.20

Subtract to eliminate x

165y - 108y = 475.20 - 389.70

57y = 85.50

y = 85.50/57

y = 1.5

Substitute y = 1.5 to find x

11x + 18y = 64.95 (1)

11x + 18(1.5) = 64.95

11x + 27 = 64.95

11x = 64.95 - 27

11x = 37.95

x = 37.95/11

x = 3.45

cost of nachos = $3.45

Cost of tacos = $1.5

8 0

3 years ago

What is the area of this polygon?

Cerrena [4.2K]

Answer:

<h2>39 units</h2>

Solution,

Total area=Area of ABCD+ Area of triangle ADE

 $(ab \times bc) + \frac{1}{2} \times ad \times ef \\ = (5 \times 6) + \frac{1}{2} \times 6 \times 3 \\ = 30 + 9 \\ = 39 \: {units}^{2}$ 

hope this helps...

Good luck on your assignment...

7 0

3 years ago

What is p? 7 1/5+p+4 9/10+3 3/20=19 1/10

Yakvenalex [24]

ANSWER:
$7 \frac{1}{5}+p+4 \frac{9}{10}+3 \frac{3}{20} =19 \frac{1}{10} \\ 7 \frac{4}{20}+p+4 \frac{18}{20} + 3 \frac{3}{20}=19 \frac{2}{20} \\ p=19 \frac{2}{20}- (7 \frac{4}{20}+4 \frac{18}{20} + 3 \frac{3}{20}) \\ p=19 \frac{2}{20}-15 \frac{5}{20} \\ p=3\frac{17}{20}$