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3 years ago

How to solve for B in this equation: A= 3B + 7C

Mathematics

1 answer:

Katen [24]3 years ago

6 0

Answer:

(A -7C)/3 = B

Step-by-step explanation:

A= 3B + 7C

We want to get B isolated

Subtract 7C from each side

A-7C= 3B + 7C-7C

A -7C = 3B

Divide by 3 on each side

(A -7C)/3 = 3B/3

(A -7C)/3 = B

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Three planes a distinct lines have in common

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2 years ago

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If g(x)=2(x-4), find the value of x if g(x)=20

kherson [118]

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

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3 years ago

What is the equation of the line that passes through the point (6,-5)

nexus9112 [7]

Answer:

y= -3/2x + 4

Step-by-step explanation:

hope this helps :)

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2 years ago

The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that

kaheart [24]

Answer:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

$P(A \cup B)$

And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

6 0

3 years ago

The volume V (in cubic feet) of a right cylinder with a height of 3 feet and radius r (in feet) is given by V=3πr2. Solve the fo

Kitty [74]

Answer:

$r=\sqrt{\frac{V}{3\pi}}\\\\r\approx 5.00\ ft$

Step-by-step explanation:

-The volume of a cylinder is given by the formula:

$V=3\pi r^2$

#We make r the subject of the formula:

$V=3\pi r^2\\\\r^2=\frac{V}{3\pi}\\\\r=\sqrt{\frac{V}{3\pi}}$

#We then substitute for the stated volume and solve for r:

$r=\sqrt{\frac{V}{3\pi}}, V=236\\\\\therefore r=r=\sqrt{\frac{236}{3\pi}}\\\\r=5.00404\approx\ 5.00\ ft$

Hence, the cylinder's radius is approximately 5.00 ft

5 0

3 years ago