Four less than two-thirds of a number is equal to twice the number. what is the number

n = -3

Step-by-step explanation:

Let the number be n.  Then (2/3)n-4 = 2n.

Solve for n.  To accomplish this, start by mult. both sides by 3, to remove the fractional coefficient:  2n - 12 = 6 n, or -12 = 4n.  then n = -3 (answer)

2/3*n-4 = 2*n

subtract 2/3 n from each side

-4 = 2n - 2/3 n

-4 = 6/3 n - 2/3 n

-4 = 4/3 n

multiply by 3/4 on each side

-4 * 3/4 = n

-3 = n

The number is -3

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

its an acute right triangle

step-by-step explanation: