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Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

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6(m-1) = 3(3m + 2) Show all work

nordsb [41]

Answer:

$\boxed{\sf m = -4}$

Step-by-step explanation:

$\sf Solve \: for \: m: \\ \sf \implies 6 (m - 1) = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ \sf \implies 6 m - 6 = 3 (3 m + 2) \\ \\ \sf Expand \: out \: terms \: of \: the \: right \: hand \: side: \\ \sf \implies 6 m - 6 = 9 m + 6 \\ \\ \sf Subtract \: 9 m \: from \: both \: sides: \\ \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\ \\ \sf 6 m - 9 m = -3 m: \\ \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\ \\ \sf 9 m - 9 m = 0: \\ \sf \implies -3 m - 6 = 6 \\ \\ \sf Add \: 6 \: to \: both \: sides: \\ \sf \implies (6 - 6) - 3 m = 6 + 6 \\ \\ \sf 6 - 6 = 0: \\ \sf \implies -3 m = 6 + 6 \\ \\ \sf 6 + 6 = 12: \\ \sf \implies -3 m = 12 \\ \\ \sf Divide \: both \: sides \: of \: -3 m = 12 \: by \: -3: \\ \sf \implies \frac{ - 3m}{ - 3} = \frac{12}{ - 3} \\ \\ \sf \frac{ - 3}{ - 3} = 1: \\ \sf \implies m = \frac{12}{ - 3} \\ \\ \sf - \frac{12}{3} = - 4 : \\ \sf \implies m = - 4$

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3 years ago

The sum of 4 consecutive integers is 198 what is the fourth number in the sequence

miss Akunina [59]

The fourth number is 51. 48+49+50+51= 198.
THE NUMER IS 48

5 0

3 years ago

The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to

In-s [12.5K]

<span>The elevation is 12,000 feet. the altimeter reading in an airplane is 17.00 in hg. this pressure is equal to:
There are 29.92inHg in 1 atm
thus
</span>17 inHg×(1 atm/29.92inHg)
=17/29.92
=0.5682 atm

Answer: 0.5682 atm

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3 years ago

An aquarium is 18 in. high, 12 in. wide, and 24 in. long. How much water can the aquarium hold? (V = lwh) A) 1,872 in.3 B) 2,592

Liono4ka [1.6K]

Its C because the 18in is the height, the 12in is the width, the 24in is the length. Which you just multiply together.

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4 years ago

Read 2 more answers

Sierra left $4.50 as a tip for a waiter. THis was 18% of the bull before the tip, How much was her total bill before the tip?

andreyandreev [35.5K]

let's say the bill without the tip is "x" amount, so that'd be the 100% of the bill, but we also know that 4.50 is the 18% of "x".

so if 4.50 is the 18% of "x", how much is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 4.50&18\\ x&100 \end{array}\implies \cfrac{4.5}{x}=\cfrac{18}{100}\implies 450=18x \\\\\\ \cfrac{450}{18}=x\implies 25=x$

4 0

3 years ago