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galina1969 [7]
3 years ago
15

Alice sleeps an average of 9 hours per night. A cat can sleep up to 20 hours per day. About how many more hours does a cat sleep

in 1 month that Alice?
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

Cat  sleeps 420 hours than Alice  in a month

Step-by-step explanation:

Given:

Number of  hours Alice sleeps per night = 9 hours

Number of  hours Cat sleeps per night = 20 hours

To Find:

How many more hours does a cat sleep in 1 month that Alice

Solution:

Let

The total number of hours for which Alice Sleeps in one month be x

The total number of hours for which Cat sleeps in one month be y

Step 1: Number of hours for which Alice Sleeps in one month

X = number of days in a month  X  Number of hours Alice sleeps per night

X = 30 X 9

X = 180 Hours

Step 2: Number of hours for which Cat Sleeps in one month

y= number of days in a month  X  Number of hours cat sleeps per night

y = 30 X 20

y = 600 Hours

Now ,

=> y – x  

=>600 – 180

=>420 hours

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3 years ago
Find the mid point of points A (-8, -8) and B (-1, -3) graphically<br><br> its deltamath
Misha Larkins [42]

-4.5,-5.5

Step-by-step explanation:

-8-1/2 , -8-3/2

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7 0
2 years ago
Twin brothers, Billy and Bobby, can mow their grandparent’s lawn together in 63 minutes. Billy could mow the lawn by himself in
Pepsi [2]

Answer:

<h2>140 minutes</h2>

Step-by-step explanation:

this problem focuses on the combined work rate

both can finish the work under 63 minute

let bobby mow the lawn in x minute

Billy will then mow the lawn in x-25 minutes

Let the completed job = 1 (a mowed lawn)

we can now apply the combined work formula for the two boys as

\frac{63}{x}+\frac{63}{x-25}=1

multiplying through by x(x-25 )we have

63(x-25)+63x= x(x-25)

open bracket we have

63x-1575+63x= x^2-25x

rearranging and collecting like terms we have

0=x^2-25x-63x-63x+1575 \\\\0=x^2-151x+1575 \\\\x^2-151x+1575=0

we can now use the quadractic formula

x=\frac{-b\frac{+}{} \sqrt{b^2-4ac} }{2a}

 

a= 1

b= -151

c= 1575

x=\frac{-(-151)\frac{+}{} \sqrt{151^2-4*1*1575} }{2*1}

x=\frac{-(-151)\frac{+}{} \sqrt{22801-6300} }{2} \\\\x=\frac{-(-151)\frac{+}{} \sqrt{16501} }{2} \\\\x=\frac{-(-151)\frac{+}{} 128.45}{2} \\\\

x=\frac{-(-151)+128.45}{2} \\\\\x=\frac{279.45}{2} \\\\x=139.72 \\\\\\x=\frac{-(-151)-128.45}{2}\\\\x=\frac{151-128.45}{2}\\\\x=\frac{22.55}{2}\\\\x=11.27

the first answer x= 139.72 approximately 140 minutes mins is correct for  Bobby's time

let us check

\frac{63}{140}+\frac{63}{140-25}=1\\\\\\0.45+\frac{63}{115} =1\\\\0.45+0.5478=1\\0.997 =1

we can see that the solution approximates to 1

8 0
3 years ago
Solve for n .<br><br> n - 26 = -13 .<br><br> n =
shusha [124]

Answer:

n = 13

Step-by-step explanation:

Given

n - 26 = - 13 ( add 26 to both sides )

n = 13

5 0
3 years ago
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Answer:

A, D and C.

Step-by-step explanation:

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