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2 years ago

Let log P/N=5 and log M/N=9 what is the relationship between P and M?

1 answer:

7 0

we know that

log (P/N) = log P - log N
so
log P - log N = 5----------------> equation 1

log (M/N) = log M - log N
so
log M - log N = 9 ------------------> equation 2

If you subtract equation 2 from equation 1,
you have
log M - log P = 4
That means that log (M/P) = 4 ----> 10^4 = M/P ---> M = 10000P

the answer is
the relationship between P and M is
M = 10000P

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

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2 years ago

A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1446 in ticket sales. Th

luda_lava [24]

X = adults
Y = child

X+y=168
X=168-y

$10x + $7y = $1446

10(168-y) + 7y = 1446
1680 - 10y + 7y = 1446
-3 y = -234
Y = 78

X = 168-78
X = 90

$10*90 + $7*78 =
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2 years ago

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2 years ago

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