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3 years ago

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Item 7 Question 1 Select the equation that represents the question. What percent of 300 is 51? 300=51×p 51=p×300 300=p×51 p=300×

51 Question 2 Solve the equation. P= %

1 answer:

notka56 [123]3 years ago

7 0

Answer:

51 = p×300

p = 17%

Step-by-step explanation:

Let p be the value of the percentage.

To find the percentage;

51/300 = p

51 = p * 300

Therefore, p = 0.17

Percentage represents a 100;

P = 0.17 * 100

P = 17%

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Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.

SCORPION-xisa [38]

The equation of the line in slope-intercept form would be y = m(x - 1/5) - 8.

<h3>What is slope intercept form a straight line?</h3>

The slope-intercept form of a straight line is used to get the equation of a line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

Since the slope is undefined in the given question, let us consider it as m.

Therefore, slope=m

Given points are 1/5 and -8, so x₁ = 1/5 and y₁ = -8

We know the formula is, y - y₁ = slope × (x - x₁)

Putting the values of x₁, y₁ and slope in the given formula we get,

y -(-8) = m × (x-1/5)

y = m(x-1/5) - 8

Hence, we get the required equation.

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1 year ago

Suppose c is inversely proportional to the square of d. If c=6 when d=3⁢, find the constant of proportionality and write the for

NemiM [27]

Answer:

The constant of proportionality is 54.

k = 54

c as a function of d:

$c(d) = \dfrac{54}{d^2}$

$c(7) = \dfrac{54}{49}$

Step-by-step explanation:

We are given the following in the question:

c is inversely proportional to the square of d.

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Plugging the values, we get,

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Putting values, we get,

$c(7) = \dfrac{54}{(7)^2}=\dfrac{54}{49}$

is the required value of c.

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