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natta225 [31]
3 years ago
6

If it takes 20 minutes to fill a tank completely with the capacity of 1000 l find the rate at which water flows in litres per mi

nute​
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

50 liters per minute.

Step-by-step explanation:

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Yao's Asian Market sells dragon fruit for $3 each. The store usually sells 20 dragon fruits a week. Dragon fruit is in season, a
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The quantity demanded would increase due to the cheaper price people would want to take advantage and buy it when it was on sale. There is not enough information to determine whether the supply or demand would maintain so D is your answer.

4 0
3 years ago
Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
Find the area of the polygon.<br> 26 ft<br> 14 ft<br> 4 ft<br> 4 ft<br> 5 ft
sertanlavr [38]

Answer:

......

Step-by-step explanation:

55

5 0
3 years ago
On the middle school baseball team, 8 players are sixth graders. Of the players, 40% are sixth graders. How many
Alexandra [31]
<h2>Answer:  Step-by-step explanation: 40 multiply by 8=320 divided by 100=3.</h2>
3 0
3 years ago
Mason and Laney run laps. The ratio of the number of laps Mason ran to the number Laney ran was 2:3.
3241004551 [841]

Using proportions, it is found that Mason ran 620 meters.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the ratio, the <em>rule of three</em> is given as follows:

2 laps for Mason - 3 laps for Laney.

n meters for Mason - 930 meters for Mason.

Applying cross multiplication:

3n = 930 x 2

n = 930 x 2/3

n = 620

Mason ran 620 meters.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
2 years ago
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