Explain why one Columm in the hundredths grid is equal to one Columm in a tenths grid.

Mathematics

1 answer:

Alla [95]3 years ago

4 0

Answer:

because in each case, the selected column composes one-tenth of the grid in total. The number of blocks is different, but the proportion of space filled is the same.

Step-by-step explanation:

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[(y+4)/(y+7)]+1=(y+3)/(y+1)

Sunny_sXe [5.5K]

First note that y cannot equal -7 or -1 as division by zero is undefined. So that if it comes up in our solution we know that it is not a real solution.

[(y+4)/(y+7)]+1=(y+3)/(y+1) make the left side have a common denominator

(y+4+y+7)/(y+7)=(y+3)/(y+1) combine like terms on left side

(2y+11)/(y+7)=(y+3)/(y+1) cross multiply

(2y+11)(y+1)=(y+3)(y+7) expand

2y^2+13y+11=y^2+10y+21 subtract y^2 from both sides

y^2+13y+11=10y+21 subtract 10y from both sides

y^2+3y+11=21 subtract 21 from both sides

y^2+3y-10=0 expand so factoring is easier

y^2-2y+5y-10=0 factor

y(y-2)+5(y-2)=0 which is equal to

(y+5)(y-2)=0

y=-5 or 2

6 0

3 years ago

As a percentage $9.00 is equal to ? of $30.00

solmaris [256]

Answer:

30%

Step-by-step explanation:

Method 1-

Divide 9 by 9/30. You get 30. This is the percent that you need!

Method 2-

You can also simplify 9/30 down to 3/10. You just multiply this by 10 on both sides. This makes 30/100, or 30%

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