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3 years ago

Solve for p. −160=22+8(3p−4)

2 answers:

4 0

Start by distributing the 8:
$-160=22+(8)(3p)+(8)(-4)$

Now we have:
$-160=22+24p-32
$

Combine like terms:
$-160=(24p)+(22-32)
$

Now we have:
$-160=24p-10
$

Add 10 to both sides:
$24p-10+10=-160+10
$

Now we have:
$24p=-150
$

Divide both sides by 24:
$24p/24=-150/24$

Final answer: p=-25/4

Aneli [31]3 years ago

3 0

-160=22+8(3p-4)
Use distributive property
-160=22+24p-32
-160=24p-10
Add 10 for both side
-160+10=24p-10+10
-150=24p
Divided 24 for both side
-150/24=24p/24
p=-6.25
Check:
-160=22+8(3p+4)
-160=22+8[3(-6.25)-4]
-160=22+8(-18.75-4)
-160=22+8(-22.75)
-160=22-182
-160=-160. As a result, x=-6.25. Hope it help!

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3 years ago

4 What is the solution to the inequality -3x-42>3 ?

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$\huge \boxed{\mathbb{QUESTION} \downarrow}$

What is the solution to the inequality -3x-42>3 ?

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$- 3 x - 42 \gt 3$

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3 years ago

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3 years ago

What is the equation of a circle with center at (0, -5) and radius of 7.

timurjin [86]

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3 years ago

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain

horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

= 48 + 32

= 80

N (Y) = n (Y) + n (Y')

= 72 + 18

= 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

$P(X'\cap Y)=P(X')\times P(Y)$

$=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32$

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

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4 years ago