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Temka [501]
3 years ago
6

Marks books has an area of 48 in.². The perimeter of the book is 52 inches. what are the dimensions of the book

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

dimensions of the book are 2 in. by 24 in.    

Step-by-step explanation:

I assume the book is a rectangle

Let w = the width

     l = the length

A = lw = 48         P = 2w + 2l = 52

                                   w + l = 26

                                          l = 26 - w

w(26-w) =48

26w - w^{2} = 48

w^{2}  - 26 w + 48 = 0

(w-2)(w -24) =  0

w = 2    or   w = 24

                           if w = 2, then l = 26 - 2 = 24

                           if w = 24, then l = 26 - 24 = 2

So, the dimensions of the book are 2 in. by 24 in.    

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What is the value of the expression –4x3 when x = –2? A. –24 B. –32 C. 32 D. 24
timurjin [86]
Answer to your question would be 
c. 32
Because you would first have to multiply -4 and -2, and a negative times a negative times a negative equals a positive so -4 times -2 = 8 and then 8 times 3 equals 32 so the answer would be 32.
6 0
3 years ago
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is
Setler [38]

Answer:

adult=10

Child=7

One adult and one child=10+7=17

Step-by-step explanation:

Let a be the price of an adult ticket

c = price of the child ticket

2a+4c = 48

5a+2c = 64

Multiply the second equation by -2 and add to the first equation

2a+4c = 48

-10a-4c = -128

---------------------

-8a +0c = -80

Divide by -8

-8a/-8 = -80/-8

a = 10

Now find c

2a+4c=48

2(10)+4c=48

20+4c=48

4c=48-20

4c=28

4c/4=28/4

c=7

6 0
3 years ago
Read 2 more answers
Please help me with this word problem!!!
Inessa [10]

Answer:

The number of customers needed to break even is

\simeq 6775.

Step-by-step explanation:

Rent per month = $ 7200

Rent per year, $ 7200 \times 12

                        = $ 86400 -------------(1)

Insurance per year = $ 4200 ---------(2)

Total  direct cost  for 2 servers (withoout  tax) per year,

= $ 2 \times 15 \times 8 \times 5 \times 50

= $ 60000

Total cost for helper ( without tax) per year,

= $ 4 \times 15 \times 5 \times \50

= $ 15000

Total cost for employees per year (without tax),

= $ (60000 +15000)  = $ 75000

Total cost per year for employees including tax,

$ \frac {(75000 \times (100 + 6.2 + 1.45)}{100}

= $ \frac {(75000 \times 107.65 }{100}

= $ 80737.5 -----------------------(3)

So,

total cost for running the restaurant (except food)

= (1) + (2) + (3) = $ (86400 + 4200 + 80737.5)

= $ 171337.5

Average total profit per customer,

= ( Average per customer payment - average cost of food per customer)

= $ (45.47 - 20.18)

= $ 25.29

So, total number of customer needed to break even,

= \frac {171337.5}{25.29}

\simeq   6775

7 0
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DochEvi [55]
These number r called patterns
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Solve the system of equations.
Semenov [28]
I hope this helps you

4 0
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