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Klio2033 [76]
3 years ago
12

In a period of 2 and one-fourth hours, 5 and one-half gallons of water leaked from a water tank. How much water did the tank los

e per hour?
Which division problem represents the problem?
StartFraction 9 over 4 EndFraction divided by StartFraction 11 over 2 EndFraction
StartFraction 9 over 4 EndFraction divided by StartFraction 2 over 11 EndFraction
StartFraction 11 over 2 EndFraction divided by StartFraction 9 over 4 EndFraction
Negative StartFraction 11 over 2 EndFraction divided by StartFraction 9 over 4 EndFraction
Mathematics
2 answers:
Neko [114]3 years ago
6 0

Answer:

A) \frac{9}{4}÷\frac{11}{2}

Step-by-step explanation:

AVprozaik [17]3 years ago
6 0

Answer:

IGNORE THE OTHER AWNSER!! AWBSER IS D!! I JUST TOOK THE ASSIGMENT!!!!!!

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Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W
Veronika [31]
To solve you first need to pick out the most important information,
~Spent 20 minutes 
~Each prob takes 2 minutes
Lets have y be the total time spent, and x the number of probs
(y/2) = x
Hope this helped!! ^-^


6 0
3 years ago
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Samuel is six inches taller than his brother Elijah.if Samuel is 48 inches tall,how tall is Elijah
GarryVolchara [31]

Answer:

If Samuel is 6 inches taller than Elijah and he is 48 inches tall then Elijah is 42 inches tall.


7 0
3 years ago
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Felicia put $8500 into a CD that pays 2.8% interest compounded semiannual. According to the rule of 72, approximately how long w
maksim [4K]
<span>25.7 years The rule of 72 is a simple approximation on how long it will take to double your money. You simply divide 72 by the interest rate and you'll have your estimate on the number of years it will take. So 72 / 2.8 = 25.7 years. To demonstrate that it's just an estimate, you can take the log of 2 and divide by the log of 1.028 to get the exact value. This far more complicated calculation gives the result of 25.1 years. And to be honest, the estimate of 25.7 years is more than close enough for such an quick and easy rule of thumb.</span>
5 0
2 years ago
−2x=x^2−6
Iteru [2.4K]

Step-by-step explanation:

Example 1

Solve the equation x3 − 3x2 – 2x + 4 = 0

We put the numbers that are factors of 4 into the equation to see if any of them are correct.

f(1) = 13 − 3×12 – 2×1 + 4 = 0 1 is a solution

f(−1) = (−1)3 − 3×(−1)2 – 2×(−1) + 4 = 2

f(2) = 23 − 3×22 – 2×2 + 4 = −4

f(−2) = (−2)3 − 3×(−2)2 – 2×(−2) + 4 = −12

f(4) = 43 − 3×42 – 2×4 + 4 = 12

f(−4) = (−4)3 − 3×(−4)2 – 2×(−4) + 4 = −100

The only integer solution is x = 1. When we have found one solution we don’t really need to test any other numbers because we can now solve the equation by dividing by (x − 1) and trying to solve the quadratic we get from the division.

Now we can factorise our expression as follows:

x3 − 3x2 – 2x + 4 = (x − 1)(x2 − 2x − 4) = 0

It now remains for us to solve the quadratic equation.

x2 − 2x − 4 = 0

We use the formula for quadratics with a = 1, b = −2 and c = −4.

We have now found all three solutions of the equation x3 − 3x2 – 2x + 4 = 0. They are: eftirfarandi:

x = 1

x = 1 + Ö5

x = 1 − Ö5

Example 2

We can easily use the same method to solve a fourth degree equation or equations of a still higher degree. Solve the equation f(x) = x4 − x3 − 5x2 + 3x + 2 = 0.

First we find the integer factors of the constant term, 2. The integer factors of 2 are ±1 and ±2.

f(1) = 14 − 13 − 5×12 + 3×1 + 2 = 0 1 is a solution

f(−1) = (−1)4 − (−1)3 − 5×(−1)2 + 3×(−1) + 2 = −4

f(2) = 24 − 23 − 5×22 + 3×2 + 2 = −4

f(−2) = (−2)4 − (−2)3 − 5×(−2)2 + 3×(−2) + 2 = 0 we have found a second solution.

The two solutions we have found 1 and −2 mean that we can divide by x − 1 and x + 2 and there will be no remainder. We’ll do this in two steps.

First divide by x + 2

Now divide the resulting cubic factor by x − 1.

We have now factorised

f(x) = x4 − x3 − 5x2 + 3x + 2 into

f(x) = (x + 2)(x − 1)(x2 − 2x − 1) and it only remains to solve the quadratic equation

x2 − 2x − 1 = 0. We use the formula with a = 1, b = −2 and c = −1.

Now we have found a total of four solutions. They are:

x = 1

x = −2

x = 1 +

x = 1 −

Sometimes we can solve a third degree equation by bracketing the terms two by two and finding a factor that they have in common.

6 0
3 years ago
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What the simplest form for 5 4/32?
stira [4]
Ok so the answer is 160/32
4 0
2 years ago
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