John and sara each bought the same
of pen and notebook in the school
bookstore, which does not charge sales
tax. john paid $5.55 for two pens and
three notebooks, and sara paid $3.50 for
one pen and two notebooks. how much
does the school bookstore charge for one
notebook?

The school bookstore charges $1.05 for one notebook.

Step-by-step explanation:

Let p = Price of one pen

Let n = Price of one notebook

To begin with, we will construct two simultaneous equations to represent the information given in the problem.

Equation No. 1 -

2p + 3n = $5.55

Equation No. 2 -

p + 2n = $3.50

We will solve these simultaneous equations using either elimination or substitution. For this problem, we will use elimination.

2p + 3n = $5.55 -> (1)

p + 2n = $3.50 -> (2)

We will multiply the second equation by 2 so that both equations have 2p.

2p + 3n = $5.55 -> (1)

2p + 4n = $7.00 -> (2)

We will subtract the values in the second equation from the corresponding values in the first equation.

- n = - $1.05

n = $1.05

Therefore:

The school bookstore charges $1.05 for one notebook.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.