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3 years ago

Factor: 3bc-4ad +6ac-2bd Can you create a rubric for this math question

Mathematics

1 answer:

Trava [24]3 years ago

7 0

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

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Water is being pumped into a 12-foot-tall cylindrical tank at a constant rate.

Stels [109]

Answer:

4 feet

Step-by-step explanation:

It is given that:

• At 2:30 p.m., the water depth was 2.6 feet.

• It is now 5:00 p.m., and the depth of the water is 3.6 feet.

So in 2.5 hours ( 5pm - 2:30pm) the water rose 1 feet (3.6 - 2.6).

Now <em><u>we can find how much water rises in 1 hour by setting up a ratio (let x be the depth increase of water in 1 hr):</u></em>

$\frac{2.5}{1}=\frac{1}{x}\\2.5x=1*1\\2.5x=1\\x=\frac{1}{2.5}\\x=0.4$

So, in 1 hour, the water level will rise 0.4 feet

So, at 6pm (1 hour from 5 pm) it will rise to 3.6 + 0.4 = 4 feet

8 0

3 years ago

A surveyor is measuring the distance across a canyon. He sets up two similar right triangles and finds that the length of CD = 1

Citrus2011 [14]

The length side AB is 64 ft , Option D is the correct answer.

<h3>What is a Right triangle ?</h3>

A triangle that has one angle 90 degree is called Right angled Triangle.

From the figure it can be seen that

The triangle CDE is a right Triangle

Applying Pythagoras theorem to find the length of CE

CE² = 12² + 16²

CE = 20 ft

As both the triangles are similar therefore the ratio of the sides will be equal

BC : CD = AC : CE

48 / 12 = AC / 20

AC = 80ft

As Triangle ABC is also a right angled triangle

Applying Pythagoras theorem to find the length of AB

AC² = BC² +AB²

6400 = 48² +AB²

AB² = 4096

AB = 64 ft

Therefore Option D is the correct answer.

To know more about Right Triangle

brainly.com/question/6322314

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3 0

2 years ago

Dorado County, which has a population of about 6,720, is divided into 4 townships. About 1/4

Ostrovityanka [42]

Density of population = total population / area of the township

Emerson township:
Population of Emerson = 6720 * (1/4)
= 1680
Density of population = 1680 /344
= 5 per square miles

Franco township:
30% of 1680 = 0.3 * 1680 = 504
Population = 1680 + 504
= 2184
Density = 2184/512
= 4 per square mile

8 0

2 years ago

Please help need this answer

I am Lyosha [343]

A function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.

(2, 0), (-3, 3), (9, 1), (-3, 5) NOT

(9, 1), (-3, 4), (2, 1), (9, 2) NOT

(2, 4), (-3, 2), (9, 1), (-7, 2) YES

(2, 4), (-3, 6), (2, 3), (-7, 2) NOT

8 0

3 years ago

Garth got 117 votes in the class election. 240 people voted. What percent of all the votes did he get? Which equation does NOT r

erastova [34]

Faci 240+117=357,sper ca team ajutat multumestemi

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3 years ago