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rosijanka [135]
3 years ago
10

Sharon and Tim each opene a savings account on the same day. Sharon started by putting $15 in her account, and she will deposit

an additional $7 each week. Tim made an initial deposit of $35, and he will add $3 more each week. Eventually, Sharon and Tim will each have the same amount saved. What is that amount?
Mathematics
2 answers:
MrRissso [65]3 years ago
7 0
$50

$15 + $35 (5 weeks) = $50
$35 + $15 (5 weeks) = $50
coldgirl [10]3 years ago
5 0

Answer:

Step-by-step explanation:

Sharon y = 7x + 15

Tim  y = 3x + 35

7x + 15 = 3x + 35

4x + 15 = 35

4x = 20

x = 5 weeks

Sharon: 7(5) + 15 = 35 + 15 = $50

Tim: 3(5) + 35 = 15 + 35 = $50

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4 0
3 years ago
What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Shou
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Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

  • This question is solved by proportions, using a <em>rule of three</em>.
  • 4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The <em>rule of three</em> is:

1 tablet - x grams

4 tablets - 0.2 grams

Applying cross multiplication:

4x = 0.2

x = \frac{0.2}{4}

x = 0.05

Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check brainly.com/question/24372153

7 0
2 years ago
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