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3 years ago

Solve the proportion. 2/15 = x/60 a. 450 b.8 c.4 d.30

Mathematics

1 answer:

Bess [88]3 years ago

6 0

2/15==x/60

Multiplly
60*2= 120
now divide
120/15= 8

x=8

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| x-3 | < x-3<br><br> can someone give a step by step process on how to do this?

statuscvo [17]

Answer:

There are no solutions to the inequality.

Step-by-step explanation:

|x - 3| < x – 3

1. Separate the inequality into two separate ones.

(1) x – 3 < x – 3

(2) x – 3 < -(x – 3)

2. Solve each equation separately

(a) Equation (1)

$\begin{array}{rcl}x - 3 & < & x - 3\\x & < & x\\\end{array}\\\text{This is impossible. No solutions exist.}$

(b) Equation (2)

$\begin{array}{rcl}x - 3 & < & -(x - 3)\\x - 3 & < & -x + 3\\x &$

For example, if x = 0, we get

|0 - 3| < 0 - 3 or

3 < -3

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3 years ago

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Liberty stamps: 0.34

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3 years ago

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3 years ago

Read 2 more answers

Write an equation that represents the line.

emmasim [6.3K]

Answer:

y = -2x - 3

Step-by-step explanation:

The y-intercept is b = -3.

We read the slope off the graph.

m = -2/1 = -2

y = mx + b

y = -2x - 3

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2 years ago

The midpoint of AB is M (0, -3). If the coordinates of AA are (2, 1) what are the coordinates of BB?

frez [133]

Answer:

B(-2, -7)

Step-by-step explanation:

Midpoint is (0, -3)

A(x₁, y₁) B(x₂, y₂)

A(2, 1)

$Midpoint = (\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2} )\\\\Midpoint = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$(0, -3) = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$\frac{2+ x_{2} }{2} = 0\\\\2 + x_{2} = 0\ \ \ \ times\ both\ sides\ by\ 2\\x_{2} = -2\ \ \ \ subtract\ both\ sides\ by\ 2$

$\frac{1 + y_{2} }{2} = -3\\\\1 + y_{2} = -6\ \ \ \ times\ both\ sides\ by\ 2\\y_{2} = -7\ \ \ \ subtract\ both\ sides\ by\ 1$

∴ B(-2, -7)

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2 years ago