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
Olin [163]
3 years ago
9

) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of

Mathematics
1 answer:
Sloan [31]3 years ago
5 0

9514 1404 393

Answer:

  $7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

  p + d + q = 45 . . . . . . . . there are 45 coins in the collection

  2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

  p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

  p +(p +4) +(2p +5) = 45

  4p = 36 . . . . . . . . . . . . . subtract 9

  p = 9 . . . . . . . . . . . divide by 4

  d = 9 +4 = 13

  q = 2(9) +5 = 23

The value of the collection is ...

  23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.

You might be interested in
Which situation CANNOT be represented by the equation x + 18 = 52
Andrei [34K]

Answer:

D

Step-by-step explanation:

For D, you would have to ADD 52 to 18.

3 0
3 years ago
In 1994, the moose population in a park was measured to be 3000. By 1998, the population was measured
dem82 [27]

Answer:

  P(t) = 100t +2600

  4100 in 2005

Step-by-step explanation:

You are given two points for (year, population) = (t, p):

  (4, 3000), (8, 3400)

It is useful to use the two-point form of the equation for a line.

  p = (p2 -p1)/(t2 -t1)(t -t1) +p1

  p = (3400 -3000)/(8 -4)(t -4) +3000

  p = 400/4(t -4) +3000

  p = 100t +2600

  P(t) = 100t +2600 . . . . written in functional form

In 2005, the population is predicted to be ...

  P(15) = 100×15 +2600 = 4100

6 0
3 years ago
What is the solution to the equation?
KonstantinChe [14]
Answer: D
1/2x-1+4=x
1/2x-x=-3
-1/2x=-3
x=6
4 0
3 years ago
Read 2 more answers
HURRY WILL MARK BRAINLIEST AND SEND VIA CASHAPP 10 BUCKS!! which point on the numberline represents -1/3?!!! HURRY ​
Pani-rosa [81]

Answer:

the answer is c because if you look at the number line it is divided into 3 equal parts and b and c is before -1 but b is -2/3 and c is -1/3 so the answer is c

4 0
3 years ago
Read 2 more answers
A coordinate plane graph is shown. Point C is at negative 4 comma 3. Point D is at 1 comma 0. A segment connects the two points.
lina2011 [118]
The distance between them is 5.83 units. Enjoy!
5 0
3 years ago
Read 2 more answers
Other questions:
  • If you guys could answer both that would be great! I’m freaking out. This test is due at 3
    7·1 answer
  • Pls answer it very fast
    12·2 answers
  • What is the area of the following circle?
    12·1 answer
  • 35 - 5² + (2 * 5)² x 3
    8·1 answer
  • Average rate change to the nearest hundredth can be which answer ?
    6·1 answer
  • 2. A spy uses a telescope to track a rocket launched vertically from a launch pad 6 km away. The rocket travels upwards at a vel
    5·1 answer
  • Write an equation in standard form for the line that has slope 1/3 and passes<br> through (-2, 8)
    6·1 answer
  • Who wants a free brainliest
    11·2 answers
  • Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.
    9·1 answer
  • Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people p
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!