Distributive property of 6x+3=5x+10 step by step

Mathematics

1 answer:

ratelena [41]4 years ago

4 0

6x-5x+3=10

x+3=10

x=10-3

x=7

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Solve this please <br><img src="https://tex.z-dn.net/?f=2x%20%2B%203%20%5Cleqslant%20x%20%2B%205" id="TexFormula1" title="2x + 3

Nastasia [14]

Answer:

x ≤ 2

Step-by-step explanation:

Isolate the variable, x. Note the ≤ sign, treat it like an equal sign, what you do to one side, you do to the other.

First, subtract 3 and x from both sides:

2x (-x) + 3 (-3) ≤ x (-x) + 5 (-3)

2x - x ≤ 5 - 3

Simplify:

2x - x ≤ 5 - 3

x ≤ 2

x ≤ 2 is your answer.

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3 years ago

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Ulleksa [173]

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3 0

3 years ago

Show both decimal places (5.06).

lilavasa [31]

a. the cost of a call for six minutes is 0.70.

b.the cost of a 14-minute call is 2.62.

c.the cost of a 9 ½2-minute call is 1.66.

given that

rate schedule for an m-minute call from any of its pay phones 0.70.

c(m) = 0.70 when m<=6

c(m) = 0.70+ 0.24(m-6) when m>6 & m is an integer

c(m) = 0.70+0.24((m-6)+1) when m>6 & m is not an integer.

a. to find the cost of a call for six minutes.

already given that c(m) =0.70 when m=6.

Therefore, the cost of a call for six minutes is 0.70.

b. to find the cost of a 14-minute call.

according to given information

$c(14) = 0.70 + 0.24(m - 6) \\ c(14) = 0.70 + 0.24(14 \: - 6) \\c(14) = 0.70 + (0.24 \times 14) - (0.24 \times 6) \\c(14) = 0.70 + (3.36 - 1.44) \\ c(14) = 0.70 + 1.92 \\ c(14) = 2.62$

Therefore,the cost of a 14-minute call is 2.62.

c.to find the cost of a 9 ½2-minute call

according to given information

$c(9 \frac{1}{2} 2) = 0.70 + 0.24((9 \frac{1}{2} 2 - 6) + 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24((9 - 6) + 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24(3+ 1) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.24(4) \\ c(9 \frac{1}{2} 2) = 0.70 + 0.96 \\ c(9 \frac{1}{2} 2) = 1.66$