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
lesya [120]
3 years ago
12

Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 mo

re pages in the album than the number of stamps on each page. How many pages are in the album? How many stamps are on each page?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0
45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps


6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct


there are
8 pages in the album
6 stamps per page
You might be interested in
Help me please. I’m getting frustrated. I keep writing out the equation wrong and don’t know where I’m messing up Write all solu
MrMuchimi

Answer:

Infinite Solutions

Step-by-step explanation:

If you distribute the left side of the expression, you will get 3y -32, which is exactly the same as the right side of the equation. Since both lines are the same, that means that they have an infinite amount of solutions. Therefore, the 4th choice is correct.

3 0
3 years ago
Read 2 more answers
Mayra bought $$ grams of rice. Anika bought $$ more than Mayra bought. Select ALL of the equations that represent the relationsh
Sonja [21]

Answer:

22

Step-by-step explanation:2

2

4 0
3 years ago
A woman saw oranges and mangos ad the market. She bought some oranges at 35 cents each and some mangoes at $1.00. if she bought
marysya [2.9K]

Answer: 20 oranges and 5 mangoes

Step-by-step explanation:

Define the following:

x = number of oranges

y = number of mangoes

Make the following system of equations:

x + y = 25

0.35x + 1.00y = 12.00

Solve for x:

y = 25 - x

⇒ 0.35x + 1.00(25 - x) = 12.00

⇒ 0.35x + 25 - x = 12.00

⇒ -0.65x = -13.00

⇒ x = 20

Solve for y:

20 + y = 25

y = 5

∴ 20 oranges and 5 mangoes were purchased.

8 0
1 year ago
How does the value of log 2 100 compare with the value of log 6 20?
lys-0071 [83]

Answer:

C

Step-by-step explanation:

Cuz I said so

4 0
2 years ago
Aeva is selling friendship pins as a service project. Each pin with green beads sells for $3. Each pin with red beads sells for
Luba_88 [7]

Answer:69

Step-by-step explanation:

69•2= 138

69-11=58

58•3=174

174+138=312

6 0
3 years ago
Read 2 more answers
Other questions:
  • Mariah wanted to make cookies for her family but needed to reduce the recipe. The original recipe required five cups of
    15·2 answers
  • This is similar to a problem in the textbook. After a foreign substance is introduced into the blood, the rate at which antibodi
    8·1 answer
  • Jacqueline and Maria set up bug barns to catch lady bugs. Jacqueline caught ten more than three times the number of lady bugs th
    11·2 answers
  • I will be rewarding 100 points I need help
    9·2 answers
  • What set or sets does the number 15 belong to
    7·1 answer
  • Please help..........
    7·2 answers
  • Two candidates run for class president. After all the ballots are counted, one candidate has 50% of the votes. What decimal name
    6·2 answers
  • PLEASE PLEASE HELP!!! i’ll give 5 stars for whoever gives the answer !! - Which expressions are solutions to the equation 3/4 x
    11·1 answer
  • Draw a number line . Locate each integer on the number line.
    12·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!