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3 years ago

I need help with this 2/3x=10

Mathematics

1 answer:

svetoff [14.1K]3 years ago

4 0

Answer: x=15

Step-by-step explanation:

We want to get x by itself, and in order to do that, we need to get rid of the fraction 2/3.

Multiply 2/3 by its reciprocal, which is 3/2.

This cancels out the fraction and leaves x by itself on the left side.

Whatever you do to one side, you must do to the other, so multiply 10 and 3/2, which will get you 30/2.

Finally, simply 30/2.

The answer is:

x=15

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QUESTION 10

adelina 88 [10]

Answer:

Step-by-step explanation:

A = L * W

A = 22

L = 2x + 1

W = 3x + 1

now we sub

22 = (2x + 1)(3x + 1)

22 = 6x^2 + 2x + 3x + 1

22 = 6x^2 + 5x + 1

6x^2 + 5x + 1 - 22 = 0

6x^2 + 5x - 21 = 0 <======part A

(3x + 7)(2x - 3) = 0

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3x = -7 2x = 3

x = -7/3 x = 3/2

I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure

length = 2x + 1.......2(3/2) + 1........3 + 1 = 4

width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===

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3 years ago

Please help!! (Number 73)

Rasek [7]

So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so $\bf V=l\cdot w\cdot h\qquad 
\begin{cases}
l=length\\
w=width\\
h=height\\ --------\\
h=1.75\\
V=78.75
\end{cases}\implies 78.75=lw\cdot 1.75
\\\\\\
\cfrac{78.75}{1.75}=lw\implies 45=lw$

so.. if you factor 45, to two factors, one will be the length, the other the width

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3 years ago