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daser333 [38]
3 years ago
5

help!! we are learning ‘applying systems of equations’ and i don’t understand it! Please, please please help!

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

Step-by-step explanation:

This type of problem requires you to identify what the unknown quantities are and then to set up your own equations to find their values algebraically.

In the above problem, there are two people, Troy and Caitlin.  Let t represent Troy's earnings and c represent Caitlin's.  The problem asks us to find the value of t.

"Caitlin earned $5 more than twice what Troy earned," translated into a symbolic equation, would be  c = 2t + $5.

"The sum of their earnings was $80" translates into c + t = $80.

We need to solve this "system of linear equations."  One way of doing that is by substitution; we see that c = 2t + $5.  Thus, 2t + $5 can be subbed for c in the equation c + t = $80:

2t + $5 + t = $80

We need to solve this equation for t.

Combining the "t" terms results in 3t + $5 = $80.

Subtracting $5 from both sides results in 3t = $75.

Dividing both sides of this result yields t = $25.

We have to come to conclusions and share them in a sentence or two:

Troy earned $25.  Caitlin, who earned twice as much as Troy, plus $5, earned 2($25) + $5, or $55.

We check this by determining whether that $55 and that $25 add up to $80.  They do!

You must mimic the language of the problem in writing out your answer:  "Caitlin earned $55 last month."

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Answer:

5

Step-by-step explanation:

Given that:

Total maximum amount that the owner wishes to spend = $20000

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To find:

How many cars that the owner can expect to buy?

Solution:

Total number of cars that the owner can expect to buy can be found by dividing the total money available with the owner with the average price of each car.

i.e.

\text{Number of cars expected to be bought} = \dfrac{\text{Total money available with the owner}}{\text{Average Price of car}}

We have the following values as given in the question statement:

Total money available = $20000

Average price of car = $4000

Therefore, the answer is:

\text{Number of cars expected to be bought} = \dfrac{20000}{4000} = \bold{5}

The owner can expect to buy 5 number of cars.

7 0
2 years ago
The price of an item yesterday was $110 . Today, the price fell to $77 . Find the percentage decrease.
Andreas93 [3]
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Hope this helps
4 0
3 years ago
Read 2 more answers
Electrical wire is being wound around a drum with a radius of 1.1 meters. How much line (to the nearest hundredth of a meter) wo
Rudik [331]

Answer:

6.81m

Step-by-step explanation:

Using the formula for finding the length of am arc

L = theta/360° × 2πr

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Given theta = 315.7°

r = 1.1m

Substituting the given values into the formula we have:

L = 315.7/360 × 2π(1.1)

L = 315.7/360 × 2.2π

L = 315.7/360 × 2.2(3.14)

L = 315.7/360 × 6.91

L = 6.81metres

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3 years ago
What's the solution and answer? And explain please
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3 years ago
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ddd [48]
Yes this is correct answer
3 0
3 years ago
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