Read the word problem below. antonio has a total of 55 marbles. he has 15 green marbles and 12 red marbles. the rest of the marbles are blue. how many blue marbles does he have? a student solves this problem by writing an equation. which strategy could check the student’s answer?

There are 28 blue marbles.

Step-by-step explanation:

Antonio has 15 green marbles and 12 red marbles. The rest of the marbles are blue.

Let the number of blue marbles be x

Total marbles green plus red =

Now, Antonio has a total of 55 marbles.

Equation forms:

We will subtract 27 from 55 to get x.

=

Hence x = 28

Therefore, there are 28 blue marbles.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17