One of your classmates was absent on the day that you learned how to write and solve an equation from a contextual situation. Your teacher has asked you to explain the four steps and their application to the problem that follows. Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, how many did Elena steal?

Using the four steps from this lesson, write and solve an equation to find the number of bases Elena stole.

9

Step-by-step explanation:

Let's say Natasha is N and Elena is E.

Then you can write:

N = 2E - 3

N = 15

Solve for E.

15 = 2E - 3

18 = 2E

E = 9

9

Step-by-step explanation:

Choose a variable to represent the unknown.

Write an equation.

Solve the equation.

Check the solution for reasonableness.

How many did Elena steal? =b

b= 2b-3

b=9

Plug in- 2x9=18-3=15.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

vertical=18cm horizontal=18cm hypotenuse=25.5

step-by-step explanation: