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3 years ago

Solve the system of equations by substitution. X=-4y X+5y=2

1 answer:

5 0

X= -4y let this be equation 1
x+5y=2 let this be equation 2

substitute equation 1 in 2

-4y + 5y = 2

y=2

substitute the value of y in equation 1

x= -4y
x= -4(2)
x= -8

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wo crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine

RideAnS [48]

Answer:

Number of bacteria after 100 days is 1237.

Step-by-step explanation:

Since bacterial growth is a geometrical sequence.

Therefore, their population after time t will be represented by the expression

$S_{n}=\frac{a(r^{n}-1)}{r-1}$

Where a = first term of the sequence

r = common ratio of the sequence

n = duration or time

Since first term of the sequence = number of bacteria in the start = 1

Common ratio = r = (1 + 0.04) = 1.04

$S_{100}=\frac{1[(1.04)^{100}-1)]}{1.04-1}$

= $\frac{(50.5049-1)}{(0.04)}$

= 1237.64 ≈ 1237 [Since bacteria can't be in fractions]

Therefore, number of bacteria after 100 days is 1237.

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3 years ago

If the exchange rate when converting US dollars to Za rands is $1=R17

den301095 [7]

<h3>Given:</h3>

1 US Dollar= R17

How much is $100 in ZA rands.

<h3>Solution:</h3>

Let the unknown be "x"

$\frac{1}{17}×\frac{100}{x}$

We'll have to do cross multiplication.

So we'll have to multiply 100 and 17.

$100×17$

$\huge\boxed{= 1700 \: ZA \: rands}$

Therefore, $100 is 1700 ZA rands.

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2 years ago

Find the equation for the line that passes through the point (2,2), and that is parallel to the line with the equation y=3/4x-4

telo118 [61]

Answer: y=3/4x + 1/2

Step-by-step explanation: Parallel lines must have the same slope, so you already know the equation must be something like y=3/4x+b. You are given a point that the line goes thru(2,2), so you can plug this point into the equation to solve for b.

(2)=3/4(2) + b

2=6/4 + b

2= 3/2 + b

b= 2-3/2

b=4/2- 3/2

b=1/2

so y=3/4x + 1/2

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4 years ago

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kkurt [141]

Answer:

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3 years ago

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Basile [38]

The answer is 11 & 51/100!

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