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kodGreya [7K]
3 years ago
6

The rain caused the River to raise a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How

may hours did it rain?
Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
It rained for approximately 10.09 hours.
6 2/3 divided by 2/3 = 10.09
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(X-3) (2x-3)= (x-3) (x+1) solve for x
yanalaym [24]

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

Do the multiplication both sides,

2 {x}^{2}  - 9x + 9 =  {x}^{2}  - 2x - 3

Arrange the terms to LHS according to their variables,

2 {x}^{2}  -  {x}^{2}  - 9x  +  2x + 9 - 3 = 0 \\  {x}^{2}  - 7x  + 6 = 0


Factorise this polynomial

{x}^{2}  - 6x - 6x + 6 = 0 \\ x(x - 6) - (x - 6) = 0 \\ (x - 1)(x - 6) = 0


So what we notice here is when you're multiplying two numbers you're getting 0 as answer.

So one of them must be 0.

If (x-1) is 0
then x = 1

similarly,

x-6=0

then, x= 6.


So the possible values of x are 1 and 6.
7 0
3 years ago
Read 2 more answers
A 10-pound bag of wildflower seed covers 25 square feet. How many pounds of seed does it take to cover 1 square​ foot?
adell [148]

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

6 0
3 years ago
Help algebra word problems a quire of paper consists of 25 sheets, and a ream of paper consists of 500 sheets. how many quires a
Natali5045456 [20]
Good morning from Canada!

What we know:
-quire=25 sheets
-ream=100 sheets

So, we are looking for how many quires can fit into a ream. All we have to do is divide the number of sheets in a ream (100) by the number of sheets in a quire (25) because dividing allows us to see how many times a specific number can go into another number, which is what we are looking for. (How many quires are in a ream).

100/25=4

Therefore 4 quires can fit into a ream.

Hope this helps!
3 0
3 years ago
The half-life of lead is 22 years. How long will it take for a sample of this substance t decay to 80% of its original amount?
Svetlanka [38]

Answer: 7 years

Step-by-step explanation:

t_{\frac{1}{2} } = In2 / ∧

since the half life is given , we have :

22 = In 2/ ∧

∧ = In2/22

∧ = 0.032

Recall the formula for half life:

\frac{N(t)}{N(0)} = e^{-∧t}

Therefore:

0.80 = e^{-0.032t}

Take the In of both sides

In 0.80 = - 0.032t

t = In 0.80 / - 0.032

t = 7 years

4 0
3 years ago
Let x represents the amount of a transaction and let f(x) represents the amount Isabel is charged for the transaction write a fu
Svetradugi [14.3K]

Answer:

f(x) = \frac{Px}{100}

Step-by-step explanation:

Let P% of the transaction amount is charged in the account.

So, if the transaction amount is x, then the charge for that transaction will be

\frac{ Px }{ 100 }.

Therefore, if f(x) represents the amount Isabel is charged for the transaction then we can write f(x) = \frac{ Px }{ 100 }, where P% is the rate of charge. ( Answer )

4 0
3 years ago
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