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Gnesinka [82]
3 years ago
6

What is the value of x in 9/5 x = 2/3

Mathematics
2 answers:
Anna [14]3 years ago
6 0

Answer:

x = 10/27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

9/5x = 2/3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide both sides by 9/5:          x = 10/27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    9/5(10/27) = 2/3
  2. Multiply:                        90/135 = 2/3
  3. Simplify:                        2/3 = 2/3

And we have our final answer!

Gre4nikov [31]3 years ago
5 0

Answer:

x = 10/27

Step-by-step explanation:

2/3 ÷ 9/5

2/3 x 5/9 = 10/27

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Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

6 0
3 years ago
Determine whether the lines are parallel, intersect, or coincide y=-7x-+1 y=-7x-3
Diano4ka-milaya [45]

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Step-by-step explanation:

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Given the figure below, find the values of x and z.
iragen [17]

Answer:

x=6 and z=107

Step-by-step explanation:

From the figure or diagram we can say that

z+15x-17=180 ---(1)

z+11x+7=180 ---(2)

Subtracting (1) and (2)

z+15x-17-(z+11x+7)=180-180

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Substitute x=6 in (2)

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3 years ago
A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu
makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

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According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

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\Leftrightarrow x =\frac{2990}{320}

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)

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