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3 years ago

That is weird but here it is again

Mathematics

2 answers:

Mars2501 [29]3 years ago

5 0

Answer:

The answer is 3.6 feet per year

borishaifa [10]3 years ago

3 0

Answer: 3.6 feet per year

Pick any column and divide the feet over the years

eg: 7.2/2 = 3.6 (column 1)

You can think of it as the ratio

7.2 feet: 2 years

and then divide both sides by 2 to get "1 year" on the right side

7.2 feet: 2 years

7.2/2 feet: 2/2 years

3.6 feet: 1 year

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A gardener uses 20 gallons of water each week on his 8-foot by 10-foot vegetable garden. He plans to enlarge his

MatroZZZ [7]

Answer:

60 gallons

Step-by-step explanation:

so he enlarged it by three so it would be 24by30

because of that, you have to multiply 20g by 3 also

that gives you 60 gallons

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2 years ago

write the converse, inverse and contrapositive of the following sentences. if the sun shines Bright today, then it will set earl

KIM [24]

Answer:

If the converse is true, then the inverse is also logically true. If two angles are congruent, then they have the same measure.

...

Converse, Inverse, Contrapositive.

Statement If p , then q .

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8 0

3 years ago

determine the point of intersection of the following pair of lines ............2x-3y-4=-13 and 5x=-2y+25. 3x+2y-7=0 and 2x=12-5y

grandymaker [24]

Answer:

(x, y) = (3, 5)
(x, y) = (1, 2)

Step-by-step explanation:

A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.

The usual methods of solving a system of equations involve elimination or substitution.

There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to elimination. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.

_____

1. In standard form, your equations are ...

2x -3y = -9
5x +2y = 25

Then the solution is ...

$x=\dfrac{-3(25)-(2)(-9)}{-3(5)-(2)(2)}=\dfrac{-57}{-19}=3\\\\y=\dfrac{-9(5)-(25)(2)}{-19}=\dfrac{-95}{-19}=5\\\\(x,y)=(3,5)$

2. In standard form, your equations are ...

3x +2y = 7
2x +5y = 12

Then the solution is ...

$x=\dfrac{2(12)-5(7)}{2(2)-5(3)}=\dfrac{-11}{-11}=1\\\\y=\dfrac{7(2)-12(3)}{-11}=\dfrac{-22}{-11}=2\\\\(x,y)=(1,2)$

_____

Note on Cramer's Rule

The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.

The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.