Robert's car used 5 gallons of gas to drive 100 miles.
How many miles can he
drive with 16 gallons of gas?

320 miles

Step-by-step explanation:

Use a proportion.

5 gallons is to 100 miles as 16 gallons is to x miles.

5/100 = 16/x

1/20 = 16/x

x = 20 * 16

x = 320

320 miles

320 miles

Step-by-step explanation:

5=100   SO 1=20

you need 16 gallons

So - 16 x 20= 320

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