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2 years ago

If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is

Mathematics

2 answers:

9966 [12]2 years ago

7 0

<em>$570</em> is the correct answer.

KatRina [158]2 years ago

6 0

So the original price is $800. And there is a 10% discount, so:

10% = 80
90% = $720

And there is also a $150 gift card applied, leaving us with a final balance of $570 (720-150)

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Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.

ch4aika [34]

Answer: y = 2x

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 2x - 8

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2

To determine the intercept, we would substitute m = 2, x = - 3 and

y = - 6 into y = mx + c. It becomes

- 6 = 2 × - 3 + c

- 6 = - 6 + c

c = - 6 + 6 = 0

The equation becomes

y = 2x

7 0

2 years ago

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the A

Ksivusya [100]

Answer:

0.7 ; 0.65 ; 0.115

Step-by-step explanation:

P(A) = 0.5 ; P(B) = 0.3

P(not successful) = P(B') = 1 - 0.3 = 0.7 ; P(A') = 1 - 0.5 = 0.5

1.)

Both events are independent events, hence the outcome of one does not depend on the other. That is the failure of the Asian project has nothing to do with the European project.

Probability that European project isn't successful;

P(B') = 1 - P(B) = 1 - 0.3 = 0.7

2.)

Probability that atleast one of the 2 projects is successful :

P(AUB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.5 * 0.3 = 0.15

P(AUB) = 0.5 + 0.3 - 0.15 = 0.65

3.)

Probability that only the Asian project is successful, given that atleast one of the two projects is successful :

[P(A) - P(AnB)] ÷ P(AuB)

[0.5 * 0.15] ÷ 0.65

= 0.075 ÷ 0.65

= 0.1153846

= 0.115

6 0

2 years ago

The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function

Law Incorporation [45]

It’s a. Start at the y intercept and rise over run to the next point.

8 0

2 years ago

You are curious why some apartments in West Campus cost more to rent than others. So you sample 30 one-bedroom apartments from a

Sonja [21]

Answer:

the monthly rents of the apartments

Step-by-step explanation:

In the field of statistics, the population of interest may be defined as the group or the population from which the experimenter or the researcher tries to make conclusions or draw their results.

In the context, I am interested to study the cost of the rented house that is more than others in the West Campus area.

So I recorded the monthly rents of the apartments from a sample of 30 one bedroom apartments.

Therefore, the population of interest for my study here is the monthly rents recorded from the sample of one bedroom apartments.

5 0

2 years ago

The cost of 6 pounds of almonds is $23.28. What is the constant of proportionality that relates y, the cost in dollars, to x, th

My name is Ann [436]

Answer:

3.88

Step-by-step explanation:

y = 23.28/6 x

y = 3.88 x

so, the constant of proportionality is 3.88

3 0

2 years ago