What is an equation that can be written with 10x+5y=20 to form a pair of linear equations

A used-car dealer sold one car at a profit of 25 percent of the dealer's purchase price for that car and sold another car at a l

Daniel [21]

Answer:

C. 1000 loss.

Step-by-step explanation:

Let x represent purchase price of each car.

We have been given that a used-car dealer sold one car at a profit of 25 percent of the dealer's purchase price for that car and sold another car at a loss of 20 percent of the dealer's purchase price for that car.

We can represent the car that dealer sold with 25% profit to find purchase price as:

$x+0.25x=20,000$

$1.25x=20,000$

$\frac{1.25x}{1.25}=\frac{20,000}{1.25}$

$x=16,000$

Therefore, the purchase price of 1st car was $16,000.

We can represent the car that dealer sold with 20% loss to find purchase price as:

$x-0.20x=20,000$

$0.80x=20,000$

$\frac{0.80x}{0.80}=\frac{20,000}{0.80}$

$x=25,000$

Therefore, the purchase price of 2nd car was $25,000.

The total purchase price of both cars would be $16,000+25,000=41,000$

The total sale price of both cars $20,000+20,000=40,000$ .

We can see that the sale price of both car is less than purchase price by $1000, so the dealer got a loss of $1000.

Therefore, the dealer's total loss, in dollars, for the two transactions combined was 1000 and option C is the correct choice.

4 0

3 years ago

Triangle DEF has sides with lengths of 6, 11, and 13 units. Determine whether this triangle is a right triangle. Show all work n

mario62 [17]

Answer:

Triangle DEF is not a right triangle ; possible lengths are 20 & 15

Step-by-step explanation:

For right triangle;

the sum of the square of the two adjacent sides must equal the square of the hypotenus.

Therefore, (6^2)+(11^2)≠(13^2).

the possible length are 20 & 15 because

(20^2)+(15^2)=(25^2)

8 0

3 years ago

Attachment mathswatch!!!!!!!!!!!!!

SSSSS [86.1K]

Answer:

a) = Slope of line AB = 1/2

<h2><em><u>Perpendicular = -2</u></em></h2>

Step-by-step explanation:

a) When it is perpendicular the answer will be positive if the initial value is negative. If it is a whole number, then the perpendicular number is going to be a fraction. The opposite applies.

b) Slope = -2x

intercept = ?

y = -2x + b

0 = -6 + b

+6 +6

b = 6

7 0

3 years ago

Read 2 more answers

Use what you've learned in this unit to model the population of Western

azamat

The population function of the Western Lowland Gorillas can either represent population growth or population decay

<h3>How to model the population</h3>

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

So, I will give a general explanation to solve the question

A population function can be represented as:

$y = a(1 \pm r)^x$

Where:

The initial population of the Western Lowland Gorillas is represented by (a)
The rate at which the population changes is represented by (r)
The number of years since 2022 is represented by (x)
The population in x years is represented by (y)

From the question, we understand that the population of the Western Lowland Gorillas decreases.

This means that the rate of the function would be an exponential decay i.e. 1 -r

Take for instance:

$y = 2000 * 0.98^x$

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

Read more about exponential functions at:

brainly.com/question/26829092

4 0

2 years ago

Write the expression in rational exponent form.

MrRa [10]

Determine the power by looking at the numerator of the exponent.

Determine the root by looking at the denominator of the exponent.

Using the base as the radicand, raise the radicand to the power and use the root as the index.

mark as BRAINLIST

7 0

3 years ago