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Darya [45]
3 years ago
12

3(x+6)=2(4x+14) what is the value of x?

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0
Hi there

3(x + 6) = 2(4x + 14)
3x + 18 = 8x + 28
3x - 8x = 28 - 18
-5x = 10
x= 10/-5
x = -2


Here it is :)


Merry Christmas

SVEN [57.7K]3 years ago
6 0
Hi there! ~

So to start off, we are trying to find the value of x. This is a lot different then just "replacing x with the given value" as we have previously done. So lets get started ~ 

• Our first step is going to be to distribute our problem.

We have; (Putting these in parenthesis)

3(x+6) = 2(4x + 14)
↓   ↓   ↓   ↓   ↓   ↓   
(3)(x) + (3)(6) = (2))4x) + (2)(14)
↓   ↓   ↓   ↓   ↓   ↓  
3x + 18 = 8x + 26

• Now we need to subtract "18" by both sides of the given equation. 

-5x + 18 - 18 = 28 - 18

28-18 = 10

-5x = 10

↓   ↓   ↓   ↓   ↓

• Now we need to divide both of our sides by -5, to get our final and foremost answer. 

\frac{-5x}{-5} =  \frac{10}{-5}

And with that we get our final answer; x = -2
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A cone has a volume of 301.44 cubic yards and a radius of 6 yards. What is its height?
alexira [117]

Answer:

h≅ 8 yards

Step-by-step explanation:

Given data

Volume of cone= 301.44 cubic yards

Radius of cone= 6 yards

Required

The Height of the cone

The expression for the volume of a cone is given as

V= 1/3πr^2h

Substitute

301.44= 1/3* 3.142*6^2*h

301.44= 37.704*h

Divide both sides by 37.704

h= 301.44/37.704

h= 7.99

h≅ 8 yards

3 0
3 years ago
Please help due in 20 minutes
MissTica
  • <PTQ=90

In ∆PTQ

Apply Pythagorean theorem

\\ \tt\hookrightarrow PT^2=PQ^2+QT^2

\\ \tt\hookrightarrow PT^2=15.4^2+9.3^2=323.16

\\ \tt\hookrightarrow PT=17.9

In ∆TRQ

\\ \tt\hookrightarrow tan44.4=\dfrac{QT}{TR}=\dfrac{9.3}{TR}

\\ \tt\hookrightarrow 0.9=\dfrac{9.3}{TR}

\\ \tt\hookrightarrow TR=\dfrac{9.3}{0.9}=10.3

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\\ \tt\hookrightarrow 1/2bh

\\ \tt\hookrightarrow 1/2(28.2)(9.3)

\\ \tt\hookrightarrow 14.1(9.3)

\\ \tt\hookrightarrow 131.13cm^2

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2 years ago
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Serjik [45]

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A. round

Step-by-step explanation:

simple answer, I think you were just joking

4 0
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alekssr [168]
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so
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gayaneshka [121]
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given that we should use 3.14 for pi
and diameter is 11.9

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the circumference is 37.366cm
8 0
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