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3 years ago

Find the value of the variable

Mathematics

1 answer:

erik [133]3 years ago

3 0

X+1=y and 3y-7=2x are your two equations.

Substitute x+1 in for y
3(x+1)-7=2x
3x+3-7=2x
x-4=0
x=4

Plug in 4 for x in either equation to solve for y
x+1=y
4+1=y
5=y

x=4 and y=5

Hope I could help!

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3 years ago

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The length of a table is 8 times longer then it’s width. If the perimeter is 72, how wide is the table?

Andrews [41]

Answer:

4 units wide

Step-by-step explanation:

Let the width of the table be 'w'

Given:

Perimeter of the table is, $P=72$

The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.

Length of the table is 8 times longer than its width. Therefore,

$Length,L=8w$

Now, perimeter is given as:

$P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}$

Now, plug in 72 for 'P' and solve for 'w'. This gives,

$w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4$

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4 years ago

Pls help due in 10 minutes!!!

Luden [163]

Answer:

$\sf 500,000,000,000=5 \times 10^{11}$

$\sf 0.00000000005=5 \times 10^{-11}$

Step-by-step explanation:

Scientific notation

$\large\boxed{a \times 10^n}$

where:

$1\leq a < 10$

$n$ is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is $n$ .

If the decimal point has moved to the left, $n$ is positive.
If the decimal point has moved to the right, $n$ is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point 11 places to left, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is positive.

$\implies \sf 500,000,000,000=5 \times 10^{11}$

To convert 0.00000000005 into scientific notation, move the decimal point 11 places to the right, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is negative.

$\implies \sf 0.00000000005=5 \times 10^{-11}$