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krek1111 [17]
3 years ago
7

Is 648, 216, 72, 24 arithmetic or geometric

Mathematics
1 answer:
Vesna [10]3 years ago
7 0
Arithmetic I'm pretty sure

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9. Water is added to two containers for 20 minutes. The equations below model the ounces of
Anit [1.1K]

Answer:

792 ounces

Step-by-step explanation:

At the time when the containers hold the same amount of water the value of y in the equations is the same,  so

\large 62x+48=-2x^2+80x+120

Solve the quadratic equation:

\large 62x+48=-2x^2+80x+120\Rightarrow 2x^2-80x-120+62x+48=0\\\\2x^2-18x-72=0\Rightarrow x=\frac{-(-18)\pm\sqrt{(-18)^2-4(2)(-72)}}{2*2}=\\\\=\frac{18\pm\sqrt{324+576}}{4}=\frac{18\pm\sqrt{900}}{4}=\frac{18\pm 30}{4}

Take only the positive solution since x is positive (minutes)

\large x=\frac{18+30}{4}=\frac{48}{4}=12

Now, compute the amount of water y by replacing x = 12 in any of the two equations, for example in container A which is easier to calculate

y = 62(12) + 48 = 792

The correct answer is then 792 ounces

5 0
3 years ago
Suppose a firm in a competitive market earned $1,000 in total revenue and had a marginal revenue of $10 for the last unit produc
aleksklad [387]

Answer:

      $5 and 50 units

Step-by-step explanation:

5 0
3 years ago
Pauline mixed 0.32 liter of syrup with 12 times as much water to make orange squash.She split 1.28 liter of orange squash.Then s
cluponka [151]

Answer:

0.72 litres

Step-by-step explanation:

Litres of syrup = 0.32 litres

Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres

Litres of orange squash = litres of syrup + litres of water

Litres of orange squash = (0.32 + 3.84) = 4.16 litres

Amount of orange squash litres split = 1.28 litres

Amount of orange squash left = (4.16 - 1.28) = 2.88 litres

Splitting the amount of squash left equally into 4 :

2.88 litres / 4 = 0.72 litres

4 0
3 years ago
Write a number that is greater than 8.604 but less than 8.643
AVprozaik [17]
An example of a number you're looking for is 8.625
4 0
4 years ago
Read 2 more answers
Which of the following is not a way to represent the solution of the inequality 2(x− 1) ≤ 10?
sertanlavr [38]

Answer: D. A number line with a closed circle on 6 and shading to the right

Step-by-step explanation:

Here, the given inequality,

2(x− 1) ≤ 10

2x - 2 ≤ 10

2x ≤ 10 + 2

2x ≤ 12

x ≤ 6 or 6 ≥ x

The value of x is all numbers less than 6 including 6.

⇒ A number line with a closed circle on 6 and shading to the left.

Thus, by the above explanation,

Only option D 'A number line with a closed circle on 6 and shading to the right' is not a way to represent the solution of the inequality.

4 0
4 years ago
Read 2 more answers
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