The denominator of a fraction is 7 less than 3 times the numerator. if the fraction is equivalent to 2/5, what is the numerator of the fraction?

the numerator of the fraction is 14

Step-by-step explanation:

Let x be the numerator of the fraction

The denominator of a fraction is 7 less than 3 times the numerator

denominator is 3 times of numerator -7

denominator is 3x-7

numerator by denominator = 2/5

cross multiply it

subtract 6x from both sides

divide both sides by -1

x=14

so the numerator of the fraction is 14

hey seth! : )

i’m not 100% sure, but i think it’s b

hope this ya : p

miss u!

- nicole

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true