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monitta
3 years ago
7

Three consecutive integers have a sum of 42. Find the integers.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

The three integers are 13,14,15

Step-by-step explanation:

Let x be the first integer

x+1 be the second integer

x+2 be the third integer

The sum of the three integers is 42

x+ (x+1) + (x+2) = 42

Combine like terms

3x+3 = 42

Subtract 3 from each side

3x+3-3 = 42-3

3x= 39

Divide by 3

3x/3 = 39/3

x = 13

x+1 = 14

x+2 = 15

The three integers are 13,14,15

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A scuba diver swims 45 m below sea level. A bird flies 15 m above sea level. Write an inequality to represent this statement.
Wewaii [24]

Answer: -45<15

Step-by-step explanation:

7 0
3 years ago
Pedro has a total of 645 cents in dollar bills, dimes, and pennies. Which could be the money that he has?
Ivahew [28]

Answer:

a). The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). 1,005 cents≠645 cents

c). 60,045 cents≠645 cents

d). 60,405 cents≠645 cents

Step-by-step explanation:

a). Step 1: Consider the total money for the first option

Total money=6 one dollar+4 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.40 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+0.40+0.05)=6.45 dollars

1 dollar=100 cents

6.45 dollars=(6.45×100)=645 cents

The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). Step 2: Consider the total money for the second option

Total money=6 one dollar+40 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+4+0.05)=10.05 dollars

1 dollar=100 cents

10.05 dollars=(10.05×100)=1,005 cents

1,005 cents≠645 cents

c). Step 3: Consider the total money for the third option

Total money=600 one dollar+4 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+0.4+0.05)=600.45 dollars

1 dollar=100 cents

600.45 dollars=(600.45×100)=60,045 cents

60,045 cents≠645 cents

d). Step 4: Consider the total money for the fourth option

Total money=600 one dollar+40 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+4+0.05)=604.05 dollars

1 dollar=100 cents

604.05 dollars=(604.05×100)=60,405 cents

60,405 cents≠645 cents

6 0
3 years ago
1. Simplify (3 × 22) ÷ 6 + [28 – (4)2] = ?
lisov135 [29]

<em>the answer to this question is </em><em>31</em><em> </em>

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3 years ago
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Write an equation to represent the problem. Then solve the equation.
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8x = 5x + 14
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x = 14/3 = 4.6666.....
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3 years ago
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A number is between 58 and 68 it has prime factors what number is it
hoa [83]
One that comes to mind is 63  

63 = 7*9
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