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2 years ago

What is 1/2 of 14? this is an algebraic expression!!

Mathematics

1 answer:

Vikentia [17]2 years ago

3 0

1/2 of 14 is 7. multiply 14/1 to 1/2.

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Can someone help me on this plzzz

choli [55]

Answer:

b=15

How I got it:

32 + (7x4) = 32 + 28 = 60

60 divided by 4 = 15

Checking:

15 - 7 = 8

8 x 4 = 32

32 = 32

You can tell b = 15 is the correct answer.

3 0

2 years ago

If logb2=x and logb3=y, evaluate the following in terms of x and y:

Alja [10]

$log_b{162} = x + 4y\\\\log_b324 = 2x+4y\\\\log_b\frac{8}{9} = 3x-2y\\\\\frac{log_b27}{log_b16} = 3y-4x$

Solution:

Given that,

$log_b2 = x\\\\log_b3 = y --------(i)$

Use the following log rules

Rule 1: $log_b(ac) = log_ba + log_bc$

Rule 2: $log_b\frac{a}{c} = log_ba - log_bc$

Rule 3: $log_ba^c = clog_ba$

$a) log_b{162}$

Break 162 down to primes:

$162 = 2^1 \times 3^4$

$log_b{162} =log_b 2^1. 3^4\\\\By\ rule\ 1\\\\ log_b{162} = log_b 2^1 +log_b 3^4\\\\By\ rule\ 3\\\\1log_b2 + 4log_b3\\\\1x+4y\\\\x+4y$

Thus we get,

$log_b162 = x + 4y$

$b) log_b 324$

Break 324 down to primes:

$324 = 2^2 \times 3^4$

$log_b324 = log_b 2^2.3^4\\\\By\ rule\ 1\\\\log_b324 = log_b2^2 + log_b3^4\\\\By\ rule\ 3\\\\log_b324 = 2log_b2 + 4log_b3\\\\From\ (i)\\\\log_b324 = 2x + 4y$

$c) log_b\frac{8}{9}$

By rule 2

$log_b\frac{8}{9} = log_b8 - log_b9\\\\log_b\frac{8}{9} = log_b 2^3 - log_b3^2\\\\By\ rule\ 3\\\\log_b\frac{8}{9} = 3 log_b2 - 2log_b3\\\\From\ (i)\\\\log_b\frac{8}{9} = 3x - 2y$

$d) \frac{log_b27}{log_b16}$

By rule 2

$\frac{log_b27}{log_b16} = log_b27 - log_b16\\\\ \frac{log_b27}{log_b16} = log_b3^3 - log_b2^4\\\\By\ rule\ 2\\\\ \frac{log_b27}{log_b16} = 3log_b3 - 4log_b2 \\\\From\ (i)\\\\\frac{log_b27}{log_b16} = 3y - 4x$

Thus the given are evaluated in terms of x and y

3 0

2 years ago

Keegan and Annie are working on an experiment in the science lab. Their mixture contains ingredients that weigh 5.22 grams, 5.7

Elza [17]

Answer:

Step-by-step explanation:

5 0

2 years ago

2/5 divides by -4/7=? Can I please get a specified answer?

iVinArrow [24]

Answer:

7/10

Step-by-step explanation:

(2/5)%(-4/7)

We will change the second fraction to make multiplication

So it will be 2/5×-7/4

=. -14/20

= -7/10

6 0

2 years ago

Cynthia conducted an experiment with a spinner that contained only 4 sectors:f,g,h,and j. She spun the arrow 40 times and record

nadezda [96]

The probability is C) 3/8.

The spinner landed on H 15 times out of (12+9+15+4) = 40 times. This is a probability of 15/40, which simplifies to 3/8.

3 0

2 years ago