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3 years ago

23. A 340 million square mile forest is how many hectares?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

5 0

Answer: in 340 million square miles there are 8.808 x 10^10 hectares

Step-by-step explanation:

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Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for

Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs x 0.95) + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

Rearrange expressions to solve for different variables

EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)

EQ2: Lollipop Lbs = 30 - Caramel Lbs

Substitute formula 1 into formula 2

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

Distribute divisor

Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs

Collect terms

Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs

Remove .8336 Lollipops from both sides of the equation

.1364 Lollipop Lbs = 2.7273

Divide both sides by .1364 (Answer is 19.9949 which rounds to 20)

Lollipop Lbs = 20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30 TRUE!

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3 years ago

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

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we have

$f(x)=x^{2}-2x-3$

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Equate the function to zero

$x^{2}-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-2x=3$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}-2x+1=3+1$

$x^{2}-2x+1=4$

Rewrite as perfect squares

$(x-1)^{2}=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

the answer is

$x=3$

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