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
Goshia [24]
3 years ago
11

Amy has a collection of marbles in three sizes, small, medium, and large. She has five times as many small marbles as medium mar

bles. The number of large marbles is two more than three times the number of medium marbles.
Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Write an algebraic expression to represent the number of large marbles she has.
If Amy has a total of 560 marbles, how many of each size does she have? Show your work.
Mathematics
2 answers:
valina [46]3 years ago
7 0

The algebraic equation for small and large marbles are y=5x and z=3x+2. The number of small marbles is 310.The number of small marbles is 310.The number of large marbles is 188.

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

From the given information, Amy has three sizes of marbles.

Let x represents the medium marbles, y as small marbles and z as large marbles.

The number of small marbles she has is 5 times more than medium marbles. Then the algebraic equation for small marbles:

⇒ y = 5x.

The number of large marbles she has is two more than three times. Then the algebraic equation for large marbles:

⇒ z=3x+2.

And the sum of three marbles is 560.

∴x+y+z=560.

To find each number of marbles, substitute the algebraic equation of y and z in the above equation.

⇒x+5x+3x+2=560.

9x+2=560.

9x= 560-2.

9x=558.

x= 62.

∴The number of medium marbles is 62.

The number of small marbles y = 5x.

⇒y= 5(62)

y= 310.

∴The number of small marbles is 310.

The number of large marbles z = 3x+2.

⇒z= 3(62)+2

z=  186+2.

z=188.

∴The number of large marbles is 188.

Gre4nikov [31]3 years ago
5 0

Answer:

The explanation is very good yet misses the frequency.

Step-by-step explanation:

You might be interested in
Together, Preston and Horatio have 49 video games. Horatio has 11 more games than Preston. How many games does each person have
AfilCa [17]
<span>p + h = 49
h = p + 11  
p + p + 11 = 49
2p = 38
Preston has 19 games
Horatio has 30</span>
6 0
3 years ago
Read 2 more answers
3+3+3<br> Please Help....
NeX [460]

Answer:

9

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?
Alexxx [7]

Answer: 2

Step-by-step explanation:

4 0
2 years ago
(8.11×107)–(4.3×107)
Ivanshal [37]

Answer: 407.67

Explanation:

(8.11×107)–(4.3×107) =

(8.11)(107)−(4.3)(107) =

         407.67

5 0
3 years ago
What sum of money lent out at 12 percent p.a. simple would produce rupesh 9000 interest in 2 years​
natka813 [3]

Answer:

1380 = P x 12 x 2/100

138000 = 24P

Therefore P = 5750 Rs.

Step-by-step explanation:this  hope this help and have a great day or night!!! bye

3 0
3 years ago
Other questions:
  • Paul is four times as old as his brother.In six years time Paul will be eighteen. How old will his brother be in six years time?
    10·1 answer
  • 4.) You plan to start making a series of deposits of $3,000 a year for 6 years. How much will you have after 6 years if your acc
    12·1 answer
  • What is the inverse of the function shown?
    7·1 answer
  • Frankie bought 13 yards of string for her art project. Each yard cost $2.00. Malika spent $54.00 on the string. How much more di
    8·1 answer
  • Pls help me out lol. I’m desperate
    5·1 answer
  • What is the simplest form of 15/60
    5·2 answers
  • It takes two painters five hours to finish painting a house how long would it take to finish painting a house if there were 20 p
    8·2 answers
  • Write 8 as a percentage of 32<br> Plssss helppp
    11·2 answers
  • Question from my math test.
    14·1 answer
  • A pail holds 3 1/2 gallons of water. How much is this in cups?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!