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
Helga [31]
3 years ago
5

Well he buys two books at a bookstore. He spent $44.52 after 6% sales tax is applied, but the clerk does not provide him with th

e receipt. He knows that book A cost $17.50 before sales tax , But he is not sure how much book B costs.
A. Use an arithmetic solution to find the cost of book B.

B. Determine how much the cost of book B can be represented in an equation. Write an equation using the distributive property that represents this situation.

C. Use the equation from part b to find the cost of book B. Show your work.

D. Explain how finding the cost of book B using the arithmetic solution compares to finding the cost of book B using the algebraic solution.
Mathematics
1 answer:
mart [117]3 years ago
8 0

Let x represent the cost of book B

Book A: $17.50

Book B: x

Sales tax: (A + B) x 6% = .06(17.50 + x) = 1.05 + .06x

book A + book B + sales tax = total cost

(17.50) + (x) + (1.05 + .06x) = 44.52 <em>plugged in all of the values</em>

18.55 + 1.06x = 44.52 <em>added like terms</em>

1.06x = 25.97 <em>subtracted 18.55 from both sides</em>

x = 24.50 divided 1.06 from both sides

Answer: $24.50

You might be interested in
Find the unknown sides of the triangle
lesya [120]

Answer:

The unknown side is 15 in.

Step-by-step explanation:

a^2+b^2=c^2

a^2+8^2=17^2

a^2+64=289

a^2=289-64

a^2=225

a=15

5 0
2 years ago
Ming bought 40 pencils and Catherine bought 24. If each package of pencils sold at the store contain the same number of pencils,
sleet_krkn [62]

Answer:

8 pencils.

Step-by-step explanation:

This is a common, GCF question and the question becomes, what number is the GCF of 40 and 24.

40= 2x2x2x5

24=2x2x2x3

Both share 2x2x2, which is 8 so the largest number of pencils in each pack is 8.

5 0
3 years ago
Read 2 more answers
Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?
Licemer1 [7]

Answer:

A. y = x^2 -6x + 13

Step-by-step explanation:

The parabola that opens up and has line of symmetry x=3 and a minimum at x=3  is

y=x^2-6x+13

The reason is that, we can write this function in the vertex form to get;

y=x^2-6x+(-3)^2+13-(-3)^2

y=(x-3)^2+13-9

y=(x-3)^2+4

Hence the line of symmetry is x=3 and the vertex is (3,4)

8 0
3 years ago
Read 2 more answers
Bob has some 10lb weights and some 3lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3lb wei
Leto [7]

Answer:

It is B.

Step-by-step explanation:

Because together it adds up to 50, y represents 10lb weights and x represents 3lb weights

5 0
3 years ago
Read 2 more answers
Order the values from least to greatest
Irina-Kira [14]

Step-by-step explanation:

64 2/3 = 16

4 square root 256 = 64

16 3/2 =64

3 square root - 64 = - 24

16 - 24 64 64

8 0
3 years ago
Other questions:
  • Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in
    10·1 answer
  • Add. Write your answer as a mixed number in simplest form.
    5·1 answer
  • One ball is drawn at random from a bag containing 17 red r balls and 9 white w balls. what is the probability that the ball is g
    12·2 answers
  • Robert is replacing sod in two square-shaped areas of his backyard. One side of the first area is 7.5 feet. One side of the othe
    10·2 answers
  • How can you find odd numbers that u can put as a fraction
    10·1 answer
  • What’s 2+2 because I need help
    13·2 answers
  • When ms. shreve solved an equation in class, she checked her solution and found that it did not make the equation true! Examine
    8·1 answer
  • A young child throw a ball upwards with an initial velocity of 20 feet/second. The height of the ball (in feets) after t seconds
    15·1 answer
  • If 210 people said football was their favorite sport to watch how many people were surveyed.
    10·1 answer
  • Solve 105% as a fraction.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!