answer.
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
Vadim26 [7]
2 years ago
9

On a website selling books, three paperback books and five hardcover books cost $80.10, and seven paperback books and four hardc

over books cost $100.65. What is the total cost of one paperback and one hardcover book?
Mathematics
1 answer:
Lisa [10]2 years ago
3 0
To answer this kind of question, you need to insert the first equation into second equation or vice versa. The equation from the question should be:

1. 3 paperback books +  5 hardcover book = $80.10
2. 7 paperback books + 4 hardcover book= $100.65

It would be easier to convert the 1st equation into
5 hardcover book = $80.10- 3 paperback books
hardcover book= $16.02- 0.6 paperback books

Then insert it to 2nd equation:
7 paperback books + 4 ($16.02- 0.6 paperback books)= $100.65
7 paperback books + $64.08- 2.4 paperback books= $100.65
4.6 paperback books = $100.65-  $64.08= $36.57
paperback book= $7.95

Insert paperback book price to the first equation to find the hardcover book price
3 paperback books +  5 hardcover book = $80.10
3 ($7.95)+  5 hardcover book = $80.10
5 hardcover book = $80.10 - $23.85= $56.25
hardcover book = $11.25

Then one paperback and one hardcoverbook= $7.95 + $11.25= $19.20 
You might be interested in
Is 0.398 a whole number, interger, rational number, irrational number, or a real number
docker41 [41]
It would be a real number
3 0
2 years ago
Read 2 more answers
A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4
Oksanka [162]
<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

y = -1.437 x + 197.686

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

y = -1.437 (14) + 197.686

Now, we solve.

y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

y = -1.437 (50) + 197.686

Now, we solve.

y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
7 0
2 years ago
The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005,
olga55 [171]
Hello.<span><span>   </span><span>
<span><span>
-------
Let 2003 be the zero year; then 2005 is the three year, and 2008 the 5 year.
---------------
P = ab^x
---
P(3) = ab^3 = 800000
P(0) = ab^0 = 900000

---
a = 900000
Solve for "b"::
b^3 = 8/9 
b = 2/cbrt(9) 
----
Equation::
P(x) = 900000^x
----
Ans: P(5) = 900000


Have a nice day</span></span></span></span>
4 0
1 year ago
Stores often mark up items each year to cover inflation. Last year, a CD at Juan’s Tunes cost $12.95. This year, the cost was ma
Ratling [72]
4*12.95*1.08-4*12.95*1.08*.10
if u buy 4
7 0
1 year ago
Read 2 more answers
PART A: Marvin has a coupon the discount is the rental of a full-size car by $25 they decide to buy insurance for each day if th
natita [175]

Answer:

i dont know about the other parts but part A is 19

Step-by-step explanation:

6 0
1 year ago
Other questions:
  • You work at a photography store. A customer has a picture that is 4.5 inches tall. The customer wants a reduced copy of the pict
    5·2 answers
  • What type of number is shown below? 0.313311333111...
    13·1 answer
  • Adrian ordered a blue-denim jacket for $69.75 and 2 sweaters for $55 each. With 7% sales tax and shipping below, how much was hi
    12·2 answers
  • What is the greatest common factor of 42a^5b^3, 35a^3b^4 and 42ab^4
    14·1 answer
  • ther a Point Is Part of the Solution Decide whether each point is a solution to the system. y&lt;=3x+4 and y&lt;=3x-2 (0, –2) (5
    12·1 answer
  • Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management woul
    10·1 answer
  • The temperature in degrees Kelvin is 273 degrees less than the temperature in degrees Celsius. Use the formula LaTeX: C=\frac{5}
    12·2 answers
  • Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 8s−(5s+6)=12(20+
    8·1 answer
  • A man buys a washing machine whose price VAT (value added Tax ) is Birr 175. lts VAT is charged at 15 % ,how much did the man ac
    15·1 answer
  • Which graph represents a function with direct variation?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!