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Tanya [424]
2 years ago
10

If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
6 0

Answer:

When b = 28 and c = 4, then a = 56

Step-by-step explanation:

We need to write the equation first

This is an example of a combined variation

if a varies directly as b and inversely as c;

then a = bk/c

where k is the constant of proportionality

We find k first;

16 = (12 * k)/6

k = (6 * 16)/12 = 8

We now want to find a

a = kb/c

a = (8 * 28)/4 = 7 * 8 = 56

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Indicate in standard form the equation of the line passing through the given points G (4,6) H (1,5)
Delicious77 [7]

First, find the slope (m) = \frac{y2 - y1}{x2 - x1} = \frac{5 - 6}{1 - 4} = \frac{-1}{-3} = \frac{1}{3}

Now plug in ONE of the points and the slope into the point-slope equation:

y - y₁ = m(x - x₁); where (x₁, y₁) is the chosen point.

y - 5 = \frac{1}{3}(x - 1) (I used (1,5) as the chosen point)

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3 years ago
Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!
timama [110]

Hi, there

<u>Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?</u>

Explanation:

1.65 x 21

Answer 34.65

3 0
3 years ago
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Left and Right end behavior of f(x)=2e^x+3 written in infinity notation.
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Also adding 3 shifts graph 3 unit above y axis

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Now At x approaches to minus infinity it will shift 3 unit up from 0 to 3 So it will pass through (-infinity,3)

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irinina [24]

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Step-by-step explanation:

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now divide 4 from bboth sides of the equation getting:

x=6

so Sameer ate 6 strawberries

6 0
3 years ago
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