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oksano4ka [1.4K]
3 years ago
14

A swimming pool is open for7 1/2 hours per day. the pool keeps one lifeguard on duty at a time. And each life guard's shift is 1

1/2 hours. How many shifts are there per day?
Please show work. Thanks
Mathematics
1 answer:
UNO [17]3 years ago
6 0

Answer:

5\ shifts

Step-by-step explanation:

we know that

To find out the number of shifts per day, divide the total number of hours per day the pool is open by each lifeguard's shift.

Convert to an improper fraction first

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

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

so

(15/2)/(3/2)=15/3=5\ shifts

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Answer in scientific notation?
love history [14]
The answer is:  45 * 10 ⁻¹¹ .
___________________________________________

Explanation:
____________________________________________
Given:   (9 * 10⁻⁵) * (5 *10 ⁻⁶) ;   Simplify.
____________________________________________
 (9 * 10⁻⁵) * (5 *10⁻⁶)  =

9 * 5 * 10⁻⁵ * 10⁻⁶ = 

(9 * 5) * 10⁻⁵ * 10⁻⁶ 

45 * 10⁻⁵ * 10⁻⁶  ;   
______________________________________
Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
______________________________________
So;  45 * 10⁻⁵ * 10⁻⁶ 

           =  45 * 10⁻¹¹ .
______________________________________

7 0
3 years ago
What is the number of coefficients in 6a-3, 0.2-y+8z, and 1/2 n? <br><br> Someone please help
hjlf
There are 3 coefficents. There is one in 6a, which is 6, one in 8z, which is 8, and one in 1/2n, which is 1/2.

Hope this helps, Ngam123!

3 0
3 years ago
Read 2 more answers
Pls help ASAP !! I’m struggling so hard in math class pls help I need it .
Mama L [17]

Answer:

b = 27 degrees

Step-by-step explanation:

90 - 63 = 27

8 0
3 years ago
Read 2 more answers
14. Write a two-column proof.
scZoUnD [109]

Given:

\bold{ 8x=4y-20} \\\\ \bold{ y=13}

Prove:

\bold{x=4}

Solution:

\to \bold{8x=4y-20}..........(i)\\\\\to \bold{ y=13}........................(ii)

Putting the value of equation (ii) into the equation (i):

\to \bold{8x=4(13)-20}\\\\\to \bold{8x=52-20}\\\\\to \bold{8x=32}\\\\\to \bold{x=\frac{32}{8}}\\\\\to \bold{x= 4}\\\\

putting the value x into the equation (i):

\to \bold{8(4)=4y-20}\\\\\to \bold{32=4y-20}\\\\\to \bold{32+20=4y}\\\\\to \bold{52=4y}\\\\\to \bold{y=\frac{54}{4}}\\\\\to \bold{ y= 13.5}

Therefore, the value of x= 4

Learn more:

brainly.com/question/6219408

3 0
2 years ago
What is the value of 2 in 0.259?
anastassius [24]
Ir's 0.2
or two tenths.
You can tell because it's in the tenths digit place, right next to the decimal.
3 0
3 years ago
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