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blsea [12.9K]
3 years ago
13

Clark spent a total of $52 on a pair of shoes and a new jacket. The shoes cost $4 more than the jacket. Write a system of equati

ons to find the cost of the shoes x and the cost of the jacket y. Then find the cost of the jacket.
Mathematics
1 answer:
lara [203]3 years ago
8 0

Answer:

  • x+y=52
  • x-y=4
  • y=24

Step-by-step explanation:

The sum of the two costs is $52, so we can write ...

  x + y = 52

The shoes cost $4 more than the jacket, so we can write ...

  x - y = 4

These are your system of equations.

__

Subtract the second equation from the first:

  (x +y) -(x -y) = (52) -(4)

  2y = 48 . . . . . simplify

  y = 24 . . . . . . .divide by 2

The cost of the jacket is $24.

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Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
rjkz [21]

Answer:

The steps:

  • Establishing your current financial state
  • Collecting the desired goals
  • Analysis of any alternatives
  • Develop the alternatives
  • Implement the action plan
  • Review the plan

Step-by-step explanation:

The steps involved in financial planing are;

  1. Knowing your current financial state
  2. Coming up with financial goals
  3. Determining alternative courses of action
  4. Evaluating the alternatives
  5. Creating and implementing the action plan
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3 0
3 years ago
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
3 years ago
The big dog weighs 5 times as much as the little dog. The little dog weighs 2 3 as much as the medium-sized dog. The medium-size
disa [49]

Answer:

The answer to your question is the big dog weighs 120 pounds

Step-by-step explanation:

Data

big dog = b    

medium dog = m

small dog = s

Equations

       b = 5s

       m = 12 + s

       s = 2/3 m

Process

1.- Substitute m in the last equation

       s = 2/3(12 + s)

       s = 24/3 + 2/3s

       s - 2/3s = 8

       1/3 s = 8

             s = 8(3)

             s = 24 pounds

2.- Substitute s in the first equation

        b = 5(24)

        b = 120 pounds

     

4 0
4 years ago
In the context of correlational research, if there is no relationship between two variables, what is the correlation coefficient
mel-nik [20]

Answer:

The Correlation coefficient is 0

Step-by-step explanation:

3 0
3 years ago
Two kilograms of bronze costs £7.20<br> What is the cost of 300g of bronze
sineoko [7]
We know that
1 Kg is equals to--------------> 1000 g
so
 X Kg------------------------> 300 g
X=300/1000------> x=0.30 Kg

if  2 Kg cost--------------> <span>£7.20
  0.30 Kg-------------> X
X=0.30*7.20/2------> x=1.08

the answer is 
</span>£1.08
3 0
3 years ago
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