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2 years ago

What is the equation of the line

Mathematics

1 answer:

olga2289 [7]2 years ago

7 0

Answer:

It's the first choice y = (-5/2)x - 1.

Step-by-step explanation:

First find the slope of the line 5x + 2y = 12 by converting to slope-intercept form.

5x + 2y = 12

2y = -5x + 12

y = (-5/2)x + 6 so the slope is (-5/2).

The line we require had also a slope of -5/2 because it is parallel to the first line and it also passes through the point (-2, 4). So:

y - 4 = (-5/2)(x - -2) (the point-slope form)

y - 4 = (-5/2)(x + 2)

y = (-5/2)x - 5 + 4

y = (-5/2)x - 1 (answer)

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A student has a 2% salt water solution and a 7% salt water solution. To best imitate salt water at a local beach, he needs 1 lit

FromTheMoon [43]

Let

x-------> the amount of $2\%$ solution

y--------> the amount of $7\%$ solution

we know that

$2\%=0.02\\7\%=0.07\\3.5\%=0.035$

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$y=1-x$ -------> equation A

$0.02x+0.07y=0.035$ -------> equation B

substitute equation A in equation B

$0.02x+0.07(1-x)=0.035$

$0.02x+0.07-0.07x=0.035$

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therefore

The student need $0.7\ liters$ of $2\%$ solution and $0.3\ liters$ of $7\%$ solution

<u>the answer is</u>

A) The percent values were written incorrectly in the equation

B) The amount of 7% solution should be written as 1 – x, not x – 1.

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3 years ago

Read 2 more answers

2/3 divided by 4/6 =

const2013 [10]

1 ? I checked on the calculator and it said 1

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2 years ago

How do you understand what happens on a fraction number line and how do you know where the fraction is. Tell me how we will be a

frozen [14]

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Answer:

understand what the fraction means

Step-by-step explanation:

First of all, you need to <em>understand what 2/3 means</em>. It means 1 whole has been divided into 3 equal parts, and you're concerned with 2 of those parts.

In the number line in the first attachment, the space between 0 and 1 has been divided into 3 equal parts. The decimal value (rounded) is shown at each tick mark. The point marked "2/3" is located at the second of those divisions, counting from zero.

The same fraction is located on the same number line in the second attachment. That number line is marked with divisions at intervals of 1/10, so there are 10 of them between 0 and 1. The value 2/3 is represented by the point that is (2/3)(10) = 6 2/3 of those intervals, so is between 0.6 and 0.7 on the number line.

If the number line were divided into 12ths, then the fraction 2/3 would be located at the 8th tick mark, counting from 0. (2/3)(12) = 8 That is shown in the third attachment.