17. A survey was taken of what 356 students wanted for lunch. There were 5 times as many
students who preferred pizza to salad, and the
vote for pizza was only 7 more than the choice
of baked ziti. How many of those students voted
for pizza?

165 pizzas

Step-by-step explanation:

165 ÷ 5 = 33

165 + 33 = 198

198 + (165-7) = 356 total

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

they are simplified

step-by-step explanation: