Teresa gave two-thirds of her peanuts to Gabe. Then she gave ine-half of the remaining peanuts to Carlos. She had 1 peanuts left. How many did she begin with?

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles. i'm desperate.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.