1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Llana [10]
3 years ago
9

While doing back to school shopping on tax-free weekend, Mrs. Michaels bought 2 packs of mechanical pencils and 3 binders for a

total cost of $21.00. Mr. Lawrence bought 5 of the same packs of mechanical pencils and 2 of the same binders for a total of $25.00. How much does each pack of pencils cost? *
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

$3.00  

Step-by-step explanation:

Let p = the cost of a pack of pencils

and b = the cost of a binder

Then we have two simultaneous equations.

(1)  2p + 3b  = 21.00

(2) 5p + 2b = 25.00

1. Multiply each equation by numbers to give one of the variables the same coefficient.

Multiply (1) by 2 and (2) by 3.This gives

(3)  4p + 6b = 42.00

(4) 15p + 6b = 75.00

2. Subtract (3) from (4)

This gives

(5) 11p = 33.00

3. Solve equation (5) for p

Divide each side by 11

p = 3.00

Each pack of pencils costs $3.00.

You might be interested in
Which equation has a graph that is a parabola with a vertex at (–1, –1)?
zzz [600]

y = {(x + 1)}^{2} - 1

The one is a vertical translation of the parent function to the left of one

f(x) = {x}^{2}

making it -1.

4 0
3 years ago
Read 2 more answers
3√2x+1 as lim = Δx →0
vodomira [7]
1.0

As x -> 0 2x -> 0, SqRt(2x) -> 0 & 3 SqRt(2x) -> 0
Hence:
3 SqRt(2x) + 1 -> 1.0
6 0
3 years ago
How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters
Vadim26 [7]
So basically you just want to say:

5 choices, with five choices stemming from that, with five more choices stemming from that.

(Drawing a tree would show that well)

Or, 

5 * 5 * 5

Which is,

25 * 5

Or 125.

So 125 three letter words can be made from the letter FGHIJ 
6 0
3 years ago
Derive a formula for the bullet speed v in terms of D, T, and a measured angle θ between the position of the hole in the first d
Ad libitum [116K]

Answer:

θ = 2π

Rotational period = T

so the angular velocity is:

w=2πT

v=Dt

D=vt

Step-by-step explanation:

3 0
3 years ago
A 100g ball is placed into a graduated cylinder before the ball was placed inside the water was at 50ml but the ball is 105ml af
Sav [38]

Answer:

The answer to your question is: density = 1.82 g/ml

Step-by-step explanation:

Data

mass = 100 g

Volume = 105 ml - 50 ml

             = 55 ml

density = ?

Formula

            density = mass / volume

Process

            density = 100 / 55

            density = 1.82 g/ml

5 0
3 years ago
Other questions:
  • Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress.
    10·2 answers
  • Given that tan θ ≈ −0.087, where 3 2 π < θ < 2 , π find the values of sin θ and cos θ.
    15·1 answer
  • as internet usage grows in a particular country, more and more of its regional governments are placing services online. thirty f
    14·1 answer
  • Four less than five times a number is equal to 11
    12·2 answers
  • From the top of a cliff, which is 120 meters above the water, tha angle of depression of a boat on the water is 18°. How far is
    10·1 answer
  • The jewelry store has a ring with a retail price of $372.50. It is on sale for 60% off the retail price, what is the discount an
    12·2 answers
  • what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.
    7·1 answer
  • Help someone with both of these ASAP thank you!!
    9·1 answer
  • PLSSS HELP IMEDEATLY Find the x- and y-intercepts of the graph of 2 – 6y = 35. State your answers as
    11·1 answer
  • Here is a easy question :- if -25/5 x p/q =1 , then p/q is equal to ?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!