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svlad2 [7]
3 years ago
5

For each value of y, determine whether it is a solution to 18 < or equal to 3y.

Mathematics
1 answer:
OleMash [197]3 years ago
4 0

Answer:

  • 6, 7, 9 are solutions
  • 2 is not

Step-by-step explanation:

Divide the inequality by 3 to see what the solutions are:

  6 ≤ y

Now, you can tell that 2 is not a solution, but 6, 7, and 9 are solutions. The latter values are all at least 6.

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How do you divide 2.16 by 3
lozanna [386]

Answer:

by moving the decimal in both numbers twice to the right and doing normal long division (the decimal in 3 is at the end) to get the answer of 0.72

3 0
3 years ago
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Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through
stiks02 [169]

Answer:

x + 2y= 2

Step-by-step explanation:

Given

Points:

F = (4,9)

G = (1,3)

Required

Determine the equation of line that is perpendicular to the given points and that pass through (2,0)

First, we need to determine the slope, m of FG

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

F = (4,9) --- (x_1,y_1)

G = (1,3) --- (x_2,y_2)

m = \frac{3 - 9}{1 - 4}

m = \frac{- 6}{- 3}

m =2

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

m_2 = -\frac{1}{m}

m_2 = -\frac{1}{2}

The equation of the line is then calculated as:

y - y_1 = m_2(x - x_1)

Where

m_2 = -\frac{1}{2}

(x_1,y_1) = (2,0)

y - 0 = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}(x - 2)

y  = -\frac{1}{2}x + 1

Multiply through by 2

2y = -x + 2

Add x to both sides

x + 2y= -x +x+ 2

x + 2y= 2

Hence, the line of the equation is x + 2y= 2

8 0
3 years ago
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Eurostar is a high-speed railway service connecting
erma4kov [3.2K]

Answer:

Step-by-step explanation:

This is simply a units conversion problem.  It gives us for the number of passengers, the number of seats per carriage and the number of carriages per train.  To change the units from passengers to trains without changing the value, we use the multiplicative identity (that is, 1).

350000 passengers

(350000 passengers) * 1

(350000 passengers) * ((1 carriage)/(32 passengers)) * ((1 train)/(15 carriages)

   [note:  passengers and carriages cancel. Leaving only trains]

(350000)*(1/32)*(1/15) trains       [note: I write this way to paste into MS Excel]

729.1667  trains                 [oh, but don’t just round this number either up or down]

   729 full trains can carry 729*32*15 = 349920 passengers

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Now, we can say that 730 trains are adequate to carry 350000 passengers.

6 0
3 years ago
What is the denominator of 7/9
Lina20 [59]

Answer:

9

Step-by-step explanation:

The denominator of a fraction is always the bottom number, while the top number is always the numerator.

5 0
3 years ago
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Find the value of x. PLEASE HELP!!!!
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

Because of the right angle (90 deg) in red, and the horizontal line on the bottom axis,

we know that :

49 + (1+5x) = 90

solving for x delivers x=8

4 0
3 years ago
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