3 years ago

Simplify 3/5 divided by (4/9) (5 points)

Mathematics

1 answer:

liraira [26]3 years ago

7 0

It would be 27/20 or, simplified, 1 and 7/20

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Simora [160]

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Answer:

$\square\quad{y=\dfrac{1}{2}x+4}\\\\\square\quad{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Step-by-step explanation:

The slope of a line is the same everywhere, so an equation can be written making use of that fact.

$\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}\\\\\dfrac{y-5}{x-2}=\dfrac{7-5}{6-2}=\dfrac{2}{4}\\\\\boxed{\dfrac{y-5}{x-2}=\dfrac{1}{2}}$

Cross-multiplying gives ...

2(y -5) = x -2

2y -10 = x -2 . . . eliminate parentheses

2y = x +8 . . . . . . . add 10; next, divide by 2

$\boxed{y=\dfrac{1}{2}x+4}$

These equations match choices B and D.

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3 years ago

how many pounds of coffee worth $10 a pound should be added to 20 pounds of coffee worth $4 a pound to get a mixture worth $5 a

Solnce55 [7]

Answer:

Step-by-step explanation:

1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);

2. using the previous item it is possible to write the next equation:

5(x+20)=4*20+10*x; ⇒ x=4.

3. the required mass is 4 pounds.

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3 years ago