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
iogann1982 [59]
3 years ago
8

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

The system of equation are \left \{ {{15+1x} \atop {3+5x}} \right..

In <u>3</u> weeks, the friends will each have passed <u>18</u> scales.

Step-by-step explanation:

Let number of weeks be 'x'.

Given:

Number of scale Pablo has passed = 15 scales

Number of scale Kayla has passed = 3 scales

Number of scales passing per week by Pablo = 1 scale

Number of scales passing per week by Kayla = 5 scale

We need find the number of weeks when both have same scales.

First we will find the Total number of scales Pablo will passed after 'x' weeks.

Total number of scales Pablo will passed after 'x' weeks is equal to sum of Number of scale Pablo has passed and Number of scales passing per week by Pablo multiplied by number of weeks.

framing in equation form we get;

Total number of scales Pablo will passed after 'x' weeks = 15+1x

Now we will find Total number of scales Kayla will passed after 'x' weeks.

Total number of scales Kayla will passed after 'x' weeks is equal to sum of Number of scale Kayla has passed and Number of scales passing per week by Kayla multiplied by number of weeks.

framing in equation form we get;

Total number of scales Kayla will passed after 'x' weeks = 3+5x

Hence the system of equation are \left \{ {{15+1x} \atop {3+5x}} \right..

Now we need to find the number of weeks when both have passed equal scales.

Hence we can say that;

Total number of scales Pablo will passed after 'x' weeks = Total number of scales Kayla will passed after 'x' weeks

Substituting the value we get;

15+1x=3+5x

On Solving the equation we get;

Combining like terms first;

5x-x=15-3\\\\4x=12

Now by Division property dividing both side by 4 we  get;

\frac{4x}{4}=\frac{12}{4} \\\\x=3 \ weeks

Now we will find the total scales passed by each after 3 weeks;

Total number of scales Pablo will passed after 3 weeks = 15+x=15+3 = 18 \ scales

Total number of scales Kayla will passed after 3 weeks = 3+5x=3+5\times3 = 18 \ scales

Hence: In <u>3</u> weeks, the friends will each have passed <u>18</u> scales.

You might be interested in
How to do 14-17.. or just give me the answer .​
r-ruslan [8.4K]

Answer: use socratic you take a picture of the problem and it does it.

5 0
3 years ago
Y = x2 - 6x - 8
Usimov [2.4K]

Answer:

I think type answer is A

3 0
3 years ago
Answer please i need to pass this class
LuckyWell [14K]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
IM DOING A TEST!<br><br> Idk how to do this help<br> Please try
goldenfox [79]

Answer:

1 is 102

2 is 78

~~~~~~~~~~~~~~~~~~~~

Always double check :)

7 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (2,-4) and has a slope of -2
kvv77 [185]

Answer:

The answer is

\huge y =  - 2x

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

From the question we have

y + 4 =  - 2(x - 2) \\ y + 4 =  - 2x + 4 \\ y =  - 2x + 4 - 4

We have the final answer as

<h3>y = -2x</h3>

Hope this helps you

3 0
3 years ago
Other questions:
  • Liam paid $2.40 tax on his new hat. What was the price of the hat if tax is 6%
    8·1 answer
  • .<br> -13 = x+1<br> What is the answer to this question ?
    14·1 answer
  • Write each as a single logarithm using the properties of logarithms.
    14·1 answer
  • A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
    6·1 answer
  • 10%of what is 14 i need to find the whole number
    12·1 answer
  • Find the number that makes 4:12 equivalent to 28:__.
    8·2 answers
  • "The majority of U.S. car owners still buy American cars."
    11·1 answer
  • Need help on the last problem please.
    5·1 answer
  • Solve for x <br><br> 3(x+2)+4(x-5)=10
    15·1 answer
  • In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage ma
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!