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
katrin [286]
3 years ago
10

Mark and Don are planning to sell each other their marble collections at a garage sale. If Don has 1 more than 3 times the numbe

r of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113
Mathematics
1 answer:
Volgvan3 years ago
4 0

Answer: Mark has 28 marbles while Don has 85 marbles.

Step-by-step explanation:

Let x represent the number of marbles that Mark has.

Let y represent the number of marbles that Don has.

If Don has 1 more than 3 times the number of marbles Mark has, it means that

y = 3x + 1

The total number of marbles is 113. It means that

x + y = 113- - - - - - - - - - - - 1

Substituting y = 3x + 1 into equation 1, it becomes

x + 3x + 1 = 113

4x + 1 = 113

4x = 113 - 1 = 112

x = 112/4

x = 28

y = 3x + 1 = 3 × 28 + 1

y = 85

You might be interested in
What is 9x2/4 it is fraction
gregori [183]
\frac{9}{2}....................
5 0
2 years ago
Select the correct response for three consecutive integers whose sum is 42.
Kisachek [45]

Answer:

C. 13, 14, 15

Step-by-step explanation:

All you do is add them up and it equals to 42.

5 0
2 years ago
Read 2 more answers
What is 314.16 rounded to the nearest hundredth
Galina-37 [17]

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

4 0
2 years ago
2x-y=4 and y=-2x+8.<br><br> Can anyone help me solve
Komok [63]

Answer:

The correct answer is x = 3 and y = 2.

Step-by-step explanation:

There are many ways to solve systems of equations like this, but I'm going to use substitution.  This means taking the value of y given by the second equation and plugging it into the first equation.  This is modeled below:

2x - y = 4

2x - (-2x+8) = 4

Now, we can simplify the left side of the equation.

2x + 2x - 8 = 4

4x - 8 = 4

We should add 8 to both sides as the next step.

4x = 12

Now we can divide by 4.

x = 3

To solve for y, we can substitute this value found for x back into either one of our original equations.

y = -2x + 8

y = (-2*3) + 8

y = -6 + 8

y = 2

Therefore, the correct answer is x = 3 and y = 2.

Hope this helps!

5 0
2 years ago
Read 2 more answers
I need help with this please
Nookie1986 [14]

Answer:

steps below

Step-by-step explanation:

3.2.1   AD = DB* sin 2 = DB * sin θ   .. DE // AB   ∠2= θ  ... (1)

By laws of sines:  DB / sin ∠5 = x / sin ∠4    

∠4 = θ-α     ∠5 = 180°-<u>∠1</u>-∠4 = 180°-<u>∠3</u>-∠4 = 180°-(90°-θ)-(θ-α)) = 90°+α

DB = (x*sin ∠5)/sin (θ-α)

     = (x* sin (90°+α)) / sin (θ-α)

AD = DB*sinθ

     = (x* sin (90°+α))*sinθ / sin (θ-α)

     = x* (sin90°cosα+cos90°sinα)*sinθ / sin (θ-α)    .... sin90°=1, cos90°=0

     = x* cosα* sinθ / sin (θ-α)

3.2.2 Please apply Laws of sines to calculate the length

7 0
2 years ago
Other questions:
  • Find the missing length
    5·1 answer
  • Need help can’t get this question wrong. Am I doing this right. And how would I write this. When I get the answer. Very confused
    14·1 answer
  • Pls help being timed and I don’t understand
    7·1 answer
  • Hi i really need help w this
    5·2 answers
  • What is the converse of ​r-&gt;(~q v p)
    7·1 answer
  • Evaluate the following expression.<br> (-5+7 x 1)-9x5
    10·2 answers
  • What is a number <br> between 1.63 and 1.64
    6·1 answer
  • Solve the equation and enter the value of d below. 6d + 7 d= 39​
    7·2 answers
  • Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?
    10·1 answer
  • Use the subtraction method to solve the system of equations. Choose the correct ordered pair. 2x-y=6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!