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levacccp [35]
3 years ago
11

A swimming pool is open for 7 1/2 hours during a day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift

is 1 1/2 hours long. How many shifts are there per day?
Mathematics
2 answers:
asambeis [7]3 years ago
8 0
There are 5 shifts because 7 1/2 divided by 1 1/2 equals 5.

vekshin13 years ago
7 0

Answer:

5\ shifts

Step-by-step explanation:

To find out how many shifts there are per day, divide the total number of hours during the day the pool is open by the duration of each lifeguard's shift.

so

Convert mixed number to an improper fraction first

7\frac{1}{2}=\frac{7*2+1}{2}=15/2

1\frac{1}{2}=\frac{1*2+1}{2}=3/2

\frac{(15/2)}{(3/2)}=5\ shifts

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One number is 2 less than a second number. Twice the second number is 17 less than 5 times the first
gulaghasi [49]
X=y-2
2y=5x-17
Substituting for x into the second equation, we find
2y=5(y-2)-17
2y=5y-10-17
-3y=-27
y=9
So x=7
Thus, the two numbers are 7 and 9.
4 0
4 years ago
If 4 Maths books are selected from 6 different Maths different English books, how many ways can the seven om Maths books and 3 E
alexgriva [62]

Answer:

Please see the answer below

Step-by-step explanation:

a. Since there’s no restrictions .Therefore , the number of ways = 7!*150 = 756000

b. The number of ways such that the 4 math books remain together

The pattern is as follows:  MMMMEEE, EMMMMEE, EEMMMME, and EEEMMMM

Where M = Math’s Book and E= English Book.  

Number of ways = 4!*8!*4*150= 86400 ways.

c. The number of ways such that  math book is at the beginning of the shelf

The number of ways = 6!*4*150 = 432000

d. The number of ways such that  math and English books alternate

The number of ways = 150*4!*3! =2160 ways

e.  The number of ways such that math is at the beginning and an English book is in the middle of the shelf. The number of ways = 4*3*5!*150 =216000 ways.

6 0
4 years ago
A ball is thrown into the air from an apartment balcony and falls to the ground. The height of the ball, h metres, t seconds aft
andriy [413]

Answer:

1+2\sqrt{2} seconds

Step-by-step explanation:

When the ball hits the ground, its height will obviously be 0. Therefore, you can set up the equation the following way:

0=-5t^2+10t+35 \\\\-5(t^2-2t-7)=0

Plugging this into the quadratic equation, you get:

t=\dfrac{2\pm\sqrt{4+28}}{2}= \\\\\dfrac{2\pm4\sqrt{2}}{2}= \\\\1\pm2\sqrt{2}

Since the time must be positive, it takes the ball 1+2\sqrt{2} seconds to hit the ground, or around 3.828. Hope this helps!

7 0
3 years ago
50/24= x/495<br> what does x =
vesna_86 [32]

Answer:

1031.25 =x

Step-by-step explanation:

50/24 = x /495

We can use cross products to solve

50 *495 = 24*x

24750 = 24x

Divide each side by 24

24750/24 =24x/24

1031.25 =x

7 0
3 years ago
Read 2 more answers
Write an expression that represents n plus 7 multiplied by 3.
diamong [38]
The <span>expression that represents n plus 7 multiplied by 3 is
(n + 7)(3)
The entire expression, (n + 7) is multiplied by 3 since it would be inconvenient to state the expression as given above if what is meant was
(n + 7x3). It would have simply been n plus 21.</span>
7 0
3 years ago
Read 2 more answers
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