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frez [133]
3 years ago
13

The level of a lake was 8 inches below normal. It decreased 1

Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

-9\dfrac{5}{8} inches.

Step-by-step explanation:

The level of a lake was 8 inches below normal.

Now, it is given that the water level decreases 1\dfrac{1}{4} = 1.25 inches in June and 2\dfrac{3}{8} =2.375 inches more in July.

Therefore, the new level of water with respect to the normal level will be  

= - 8 - 1.25 - 2.375  

= - 9.625 inches

= -9\dfrac{5}{8} inches. (Answer)

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Simplify the expression.<br><br> (–2)5<br><br><br> 16<br><br><br> –10<br><br><br> –32<br><br><br> 32
BigorU [14]

Answer:

the answer is -10

Step-by-step explanation:

Its basically multiplication

4 0
2 years ago
your classmate tells you the details of the great deal he got on his mortgage: 30- year 3.5% fixed rate with a 10% down payment.
DIA [1.3K]

Answer:

$13,600

Step-by-step explanation:

If he puts a down payment of 10% on $136,000

Then is should be $13,600

4 0
3 years ago
What are the factors of 2x^2 + 5x -12?
Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step  1  :

Equation at  step  1  :

 (2x2 +  5x) -  12

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+5x-12  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -12  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -12 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   5 .

-24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  8  

                    2x2 - 3x + 8x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x-3)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-3)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (2x-3)

            Which is the desired factorization

3 0
3 years ago
Combine like terms in the expression below:<br> 9x + 4.05xy + 15y + 30y - 11x + 9.46
aev [14]

Answer: 4.05 x y  − 2 x  +  45 y  +  9.46

Step-by-step explanation:

9x + 4.05xy + 15y + 30y - 11x + 9.46

4.05xy + 9x - 11x  + 15y+ 30y+ 9.46

4.05 x y  − 2 x  +  45 y  +  9.46

6 0
2 years ago
This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
Mekhanik [1.2K]

49^2m-m : Not equivalent

7^2m-2m : Not equivalent

7^2m-m : Not equivalent

This is actually a trick question. All of the following are actually false statements. Want to know why? Let me show you.

For exponents, if you are dividing a number to some power (i.e 5^3) by the SAME number to a different power (i.e 5^2), then the expression is 5^3-2 or 5^1 = 5. This is true for any number a such that a^b ÷ a^c = a^b-c.

Since 7 and 49 are not the same number, this rule does not apply and thus cannot be simplified any further.

Let me prove why. 5^3 = 125, and 5^2 = 25, and 125 ÷ 25 = 5. This is also the same as 5^3-2 = 5^1 = 5. We just proved this as so.

But, what about 7 and 49, or 2 different numbers. Well it doesn't apply. 7^3 = 343, and 49^2 = 2401, and 343 ÷ 2401 ≈ 0.14. Thus, this is NOT equal to 7^3-2 which is 7. We just proved that a^y ÷ b^z ≠ a^y-z. Congratulations!

Hope this helped!

7 0
1 year ago
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