Which expression is equivalent to 1/4 x + 3 - 1/3 x + (-2) ?

Mathematics

1 answer:

nasty-shy [4]4 years ago

6 0

Answer:

The value of your expression is 7/12x +1.

Step-by-step explanation:

1/4x + 3 - 1/3x + -2 First, positive and negative is negative

= 1/4x + 3 - 1/3x -2 Combine like terms, 1/4x and 1/3x

= 7/12x + 3 - 2 Combine like terms, +3 and -2

= 7/12x +1

Like terms are when a number have similar exponents bases, variables or just plain numbers.

3x, 4x, 5x

1.02x^2, 1.02x^3

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You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi

stich3 [128]

B = block p = park

2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!

6 0

4 years ago

Use the interactive expression equivalent to 4x-4-2x+3.

VARVARA [1.3K]

Answer: x = 1/2

Step-by-step explanation:

4x - 2x - 4 + 3

2x - 1

x = 1/2

7 0

2 years ago

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