Linear systems word problem:

astrid is running a concession stand at a basketball game. she is selling hot dogs and sodas. each hot dog costs $1.50 and each soda costs $0.50. at the end of the night she made a total of $78.50. she sold a total of 87 hot dogs and sodas combined. she must report the number of hot dogs sold and the number of sodas sold. how many hot dogs were sold and how many sodas were sold?

In the pendulum formula t=2pi. read the problem on the picture ! ; $; $; ! ; ! ; ! ; )$; ! ; ! ; ! ; $; $; $! ; ! ; ); $; $$

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

John used linear combination to solve the system of equations shown. he did so by multiplying the first equation by -3 and the second equation by another number to eliminate the x-terms. what number did jonas multiply the second equation by? 4x-6y=23x+5y=11