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3 years ago

What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

Mathematics

1 answer:

svet-max [94.6K]3 years ago

5 0

Answer: $x=-5$

Step-by-step explanation:

You need to find the value of the variable "x".

Solve for "x":

Subtract $\frac{5}{6}x$ from both sides of the equation:

$\frac{2}{3}x-\frac{1}{2}-\frac{5}{6}x}=\frac{1}{3}+\frac{5}{6}x\\\\-\frac{1}{6}x-\frac{1}{2} =\frac{1}{3}$

Add $\frac{1}{2}$ to both sides of the equation:

$-\frac{1}{6}x-\frac{1}{2}+\frac{1}{2} =\frac{1}{3}+\frac{1}{2}\\\\-\frac{1}{6}x=\frac{5}{6}$

Multiply both sides of the equation by -6:

$(-\frac{1}{6}x)(-6)=(\frac{5}{6})(-6)\\\\x=-5$

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What is the volume of the oblique cylinder rounded to the nearest cm^3?

SVETLANKA909090 [29]

Answer: $32009355.90cm^3$

Step-by-step explanation:

Formula: $V=Bh\\$

Since the base is a circumference, we can replace B for the area of a circumference formula.

$V=\pi r^2h$

What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.

$12/2=6ft$ this is the radius.

Now plug all this information into your formula.

$V=(3.14)(6ft)^2(10ft)\\V=(3.14)(36ft^2)(10ft)\\V=1130.40ft^3$

Our values are in feet but the question requires cm. Let's convert from $ft^3$ to $cm^3$ .

Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.

$1ft=30.48cm$

Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.

$(1ft)^3=(30.48cm)^3\\1ft^3=28316.8cm^3$

Now we have our conversion factors.

$1130.40ft^3(\frac{28316.84cm^3}{1ft^3})=32009355.90cm^3$

4 0

3 years ago

What is the value of x when 14x=-2x

ch4aika [34]

14x = -2x
Divide by 2
14/-2 = -7

4 0

3 years ago

Read 2 more answers

jen thought of a number. she called her number k. she subtracted 34 from her number, multiplied the result by 9, and she got 72.

sattari [20]

(k - 34) x 9 =72
k - 34 = 72/9
k - 34 = 8
k = 8 + 34
k = 42

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3 years ago

A carpenter's square is a tool that is used to draw right angles. suppose you are buildong a toy car and you have four small cir

MrRa [10]

A carpenter's square is a ruler which looks like a right triangle. Being such, it has a long side and a short side. Assuming that the radius of each wheel is the size of the short side, we can use this to measure the mid point of the wheel. The mid point of the wheel is the optimal point where you can bore a hole.

3 0

3 years ago

six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na

raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

6 0

4 years ago