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3 years ago

There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

Your answer would be 12

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer! :)

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Solve The Equation <br> 4x×9y=7<br> 4x-9y=9

hoa [83]

Answer:

$\large\boxed{x=\dfrac{9}{8}-\dfrac{\sqrt{109}}{8},\ y=-\dfrac{1}{2}-\dfrac{\sqrt{109}}{18}}\\or\\\boxed{x=\dfrac{9}{8}+\dfrac{\sqrt{109}}{2},\ y=-\dfrac{1}{2}+\dfrac{\sqrt{109}}{18}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}4x\times9y=7&(1)\\4x-9y=9&(2)\end{array}\right\\\\(2)\\4x-9y=9\qquad\text{subtract}\ 4x\ \text{from both sides}\\-9y=-4x+9\qquad\text{change the signs}\\9y=4x-9\qquad\text{substitute it to (1)}\\\\4x(4x-9)=7\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\(4x)(4x)+(4x)(-9)=7\\(4x)^2-36x=7\\(4x)^2-2(4x)(4.5)=7\qquad\text{add}\ 4.5^2\ \text{to both sides}\\(4x)^2-2(4x)(4.5)+4.5^2=7+4.5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2$

$(4x-4.5)^2=7+20.25\\(4x-4.5)=27.25\to 4x-4.5=\pm\sqrt{27.25}\\\\4x-\dfrac{45}{10}=\pm\sqrt{\dfrac{2725}{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{2725}}{\sqrt{100}}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25\cdot109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{\sqrt{25}\cdot\sqrt{109}}{10}\\\\4x-\dfrac{45}{10}=\pm\dfrac{5\sqrt{109}}{10}\qquad\text{add}\ \dfrac{45}{10}\ \text{to both sides}\\\\4x=\dfrac{45}{10}\pm\dfrac{5\sqrt{109}}{10}$

$4x=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 4}\\\\x=\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\\\\\text{Put the values of}\ x\ \text{to (2):}\\\\9y=4\left(\dfrac{9}{8}\pm\dfrac{\sqrt{109}}{8}\right)-9\\\\9y=\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}-\dfrac{18}{2}\\\\9y=-\dfrac{9}{2}\pm\dfrac{\sqrt{109}}{2}\qquad\text{divide both sides by 9}\\\\y=-\dfrac{1}{2}\pm\dfrac{\sqrt{109}}{18}$

8 0

3 years ago

There are 128 students going on a field trip to pan for gold. If they are going in vans that hold 7 students each, how many vans

Viefleur [7K]

128/7 is roughly 18.3 so you would need 19 vans. 18 of them would fit all 7 so you’d have 126 so the last van would fit 2 students meaning it won’t be full

6 0

3 years ago

1. It costs $3.45 to buy 3/4 lb of chopped walnuts. How much would it cost to purchase

konstantin123 [22]

Answer:

$34.50

Step-by-step explanation:

First, how many 3/4 lbs are in 7.5 lbs?

7.5 lbs = 15/2 lbs.

(15/2) / (3/4) = 10

There are 10 "3/4" lbs in 7.5 lbs.

So, if it costs $3.45 to purchase 3/4 lbs of chopped walnuts, it would cost $3.45 times 10 dollars to purchase 7.5 lbs of chopped walnuts, or $34.50.

Let me know if this helps!

5 0

2 years ago

If five times the measure of an angle is decreased by 30, the result is the same as when two times the measure of the angle is i

Serhud [2]

Answer:

Step-by-step explanation:

Let "a" represent the measure of the angle. Then ...

5a -30 = 2a +18

3a = 48 . . . . . . . add 30-2a

a = 16 . . . . . . . . . divide by 3

An angel is beyond measure, but this angle has measure 16.

4 0

3 years ago

What is gif of 18 and 24

babunello [35]

Answer:

Step-by-step explanation:

I assume you mean GCF, greatest common factor.

First, write the prime factorizations for each:

18 = 2¹ × 3²

24 = 2³ × 3¹

Next, find what they have in common. Both have a factor of 2¹ and 3¹.

GCF = 2¹ × 3¹

GCF = 6

The greatest common factor is 6.

6 0

3 years ago

There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!​

There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!