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mihalych1998 [28]
4 years ago
11

Solve for x: (x+16)/3 = 3x x = −7 x = −13 x = 8 x = 2

Mathematics
1 answer:
vaieri [72.5K]4 years ago
7 0
<span>(x+16)/3 = 3x solve for x then
multiply 3 on both sides
x + 16 = 9x
9x - x = 16
8x = 16
x = 16/8
x = 2

Answer: x = 2</span>
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What is the equation of a line perpendicular to why=2x-6 that passes through (5,4)
almond37 [142]

Answer:

y = ½(13- x)

Step-by-step explanation:

Step 1. Find the<em> slope (m₁) of the original line </em>

The equation for the original line is

      y = 2x - 6

slope = m₁ = 2

Step 2. Find the <em>slope (m₂) of the perpendicular line </em>

m₂ = -1/m₁     Substitute the value of m₁

m₂ = -1/2

Step 3. Find the <em>equation for the perpendicular line</em>

y = mx + b     Substitute the value of m₂

y = -½x + b

The line passes through (5, 4).  

4 = -½(5) + b     Add 5/2 to each side

4 = -5/2 + b     Add 2 to each side

b = 13/2  

y = -½x + 13/2

y = ½(13 – x)  

In the image, below, the red line is the graph of your original equation.

The blue line passing through (5, 4) is the perpendicular line.

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3 years ago
A pizza shop offers nine toppings. No topping is used more
Mariulka [41]
3/9= 1/3 because if there are 9 toppings and those are 3 of them then it will be 3/9 which equals 1/3
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4 years ago
If John's present age is 3x years and Jane is twice his age, what will be the
Ludmilka [50]

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Step-by-step explanation:

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Read 2 more answers
Which mixed number is equal to 100.56?
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3 years ago
A woman who has recovered from a serious illness begins a diet regimen designed to get her back to a healthy weight. She current
WINSTONCH [101]

Answer:

a.) w = 103 * 1.08^t

b.) 3.5weeks

Step-by-step explanation:

If Her current weight is 103 pounds and she hopes to multiply her her weight each week by 1.08, then

her weight after 1 week = 103 * 1.08 = 103 * 1.08¹

Her weight after 2 weeks = [weight of week 1] * 1.08 = [103* 1.08] * 1.08 = 103 * 1.08²

Weight after 3 weeks= [weight of week 2] * 1.08 = [103 * 1.08 * 1.08] * 1.08 = 103 * 1.08³

Hence weight (W) after t weeks = 103 * 1.08^t

b.) If W = 135, Then

103 * 1.08^t = 135

1.08^t = 135/103

1.08^t = 1.31

Taking log of both sides,

log 1.08^t = log 1.31

t log 1.08 = log 1.32

t = log 1.32/log 1.08

t = 3.5 weeks.

Hence, it will take her 3½ weeks to get to 135pounds weight.

7 0
3 years ago
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