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3 years ago

If 50 is increased by 20%, what is the new amount?

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

8 0

The new amount would be 60.

ivann1987 [24]3 years ago

4 0

Answer:

Step-by-step explanation:

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A movie theater charges $4.50 for children and $8.00 for adults. On a certain day, 1200 people enter the theater and $8375 is co

Lady bird [3.3K]

Answer:

The number of adults who attended=850

The number of children who attended=350

Step-by-step explanation:

a). Determine first expression

Let the number of each group be as follows;

adults=a

children=c

total number of people=1200

This can be expressed as;

number of people=number of children+number of adults

replacing;

a+c=1200...equation 1

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per child×number of children)+(cost per adult×number of adults)

where;

total cost=$8,375

cost per child=$4.5

number of children=c

cost per adult=$8

number of adults=a

replacing;

(8×a)+(4.5×c)=1,200

8 a+4.5 c=8,375...equation 2

c). Combine equation 1 and 2 and solve simultaneously

1(8 a+4.5 c=8,375)

4.5(a+c=1,200)=4.5 a+4.5 c=5,400

(8 a-4.5 a)+(4.5 c-4.5 c)=(8,375-5,400)=2,975

3.5 a=2,975

a=2,975/3.5

a=850

replacing the value for a in equation 1

850+c=1200

c=1200-850=350

The number of adults who attended=850

The number of children who attended=350

4 0

3 years ago

How do I explain 1.82 divided by 140.14

denpristay [2]

Answer:

0.012987...(6-digit repeat)

Step-by-step explanation:

You explain it the same way you explain any division of decimal numbers.

The usual procedure is to adjust both numbers so that the divisor is an integer. Here, that is accomplished by multiplying each number by 100. This makes the problem ...

1.82/140.14 = 182/14014

Now, division proceeds in the usual way. The first non-zero quotient digit will appear in the hundredths place. The quotient is a repeating decimal with a 6-digit repeat. You recognize the repeat as soon as you see 182 as a remainder.

<em>Additional comment</em>

The ratio reduces to ...

$\dfrac{1.82}{140.14}=\dfrac{182}{14014}=\dfrac{1}{77}=0.\overline{012987}$