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Helen [10]
2 years ago
12

A lifeguard fills a pool with water at a constant rate. After 1/2 hour, 1/3 of the pool is filled.

Mathematics
2 answers:
dlinn [17]2 years ago
8 0

Answer:

2/3 of an hour

Step-by-step explanation:

Romashka-Z-Leto [24]2 years ago
4 0

Answer: 2/3 of an hour.

Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour.  If she fills it for an hour, she'll get 2/3 of the pool filled.  Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.

Hope this helps! :)

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Y = -2(x + 5)(x + 1)<br> Set the factor (x + 5) = 0 and solve
Harrizon [31]

Answer: x=-5

Step-by-step explanation:

x+5=0 \implies x=-5

7 0
2 years ago
Simplify: 4 (3y +x) please show your work
Yakvenalex [24]

Answer:

12y+4x

Step-by-step explanation:

Multiply 4*3y and 4*x

Distributive property

7 0
3 years ago
Which two ratios represent quantities that are proportional?
babymother [125]
Answer: Option A is correct.

Explanation: Both fractions equal 6/5 when fully simplified. Questions like these are easy to check. All you have to do is divide 18 by 15 and divide 24 by 20. Both will equal 1.2.
5 0
4 years ago
All of the total number of spectators at a circus show 1/4 or men 2/5 of the remaining number of spectators are women there 132
kkurt [141]

Answer:

There are <u>198 children</u> at the circus show.

Step-by-step explanation:

Let the total number of spectators be 'x'.

Given:

Number of men = \frac{1}{4} of the total number

Number of women = \frac{2}{5} of the remaining number.

Also, number of women = 132

Number of men = \frac{1}{4}\ of\ x=\frac{x}{4}

Now, spectators remaining = Total number - Number of men

Spectators remaining = x-\frac{x}{4}=\frac{4x-x}{4}=\frac{3x}{4}

Now, number of women = \frac{2}{5}\times \frac{3x}{4}=\frac{6x}{20}

Now, as per question:

Number of women = 132. Therefore,

\frac{6x}{20}=132

6x=132\times 20

x=\frac{2640}{6}=440

Therefore, the total number of spectators = 440

Also, number of men = \frac{x}{4}=\frac{440}{4}=110

Now, total number of spectators is the sum of the number of men, women and children.

Let the number of children be 'c'.

Total number = Men + Women + Children

440=110+132+c\\440=242+c\\c=440-242=198

Therefore, there are 198 children at the circus show.

8 0
4 years ago
(2a^2 + ab +2b)+(4a^2-3ab+9)​
maw [93]

Answer:

-2 a b + 2 b + 6 a^2 + 9

Step-by-step explanation:

Simplify the following:

2 a^2 + a b + 2 b + 4 a^2 - 3 a b + 9

Grouping like terms, 2 a^2 + a b + 2 b + 4 a^2 - 3 a b + 9 = (a b - 3 a b) + 2 b + (2 a^2 + 4 a^2) + 9:

(a b - 3 a b) + 2 b + (2 a^2 + 4 a^2) + 9

a b + a b (-3) = -2 a b:

-2 a b + 2 b + (2 a^2 + 4 a^2) + 9

2 a^2 + 4 a^2 = 6 a^2:

Answer:  -2 a b + 2 b + 6 a^2 + 9

5 0
3 years ago
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