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tensa zangetsu [6.8K]
3 years ago
12

If 3x-4+8=12+2x then x=?

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Answer:

8

Step-by-step explanation:

Combine like terms, -4 and 8, 2x and 3x.

After combining the terms, you get x+4=12.

Subtract 4 from both sides and get x=8

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A jar containing only nickels (n) and dimes (d) contains a total of 60 coins. The value of all the coins in the jar is $4.45.
cestrela7 [59]

Answer:

n + d = 60

0.05n + 0.1d = 4.45

The jar contains:  31 nickels and  29 dimes.

Step-by-step explanation:

Numbers of coins: n nickels and d dimes

Total number of coins: n + d

Total number of coins: 60

<em>Equation 1: </em>n + d = 60

Values of the coins:

n nickels are worth 0.05n

d dimes are worth 0.1d

Total value of all coins: 0.05n + 0.1d

Total value of coins: $4.45

<em>Equation 2: </em>0.05n + 0.1d = 4.45

<em />

<em>System of equations:</em>

<em>n + d = 60</em>

<em>0.05n + 0.1d = 4.45</em>

<em />

Solve the first equation for n.

n = 60 - d

Substitute 60 - d for n in the second equation.

0.05n + 0.1d = 4.45

0.05(60 - d) + 0.1d = 4.45

3 - 0.05d + 0.1d = 4.45

3 + 0.05d = 4.45

0.05d = 1.45

d = 29

<em>There are 29 dimes.</em>

n + d = 60

n + 29 = 60

n = 31

<em>There are 31 nickels.</em>

The jar contains:

31 nickels and

29 dimes.

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A grocery store sells peanuts in bulk foods. The price for 5 lb of peanuts is $8.00. Brian said, “The ratio of dollars to pounds
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Carla is correct using a calculator to check 
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