Select each expression that is equivalent 18x+3

Find slope of the graph 9x-3y=15

LekaFEV [45]

<h3><u>Explanation</u></h3>

Convert the equation into slope-intercept form.

$y = mx + b$

where m = slope and b = y-intercept.

What we have to do is to make the y-term as the subject of equation.

$9x - 3y = 15 \\ 9x - 15 = 3y \\ \frac{9x - 15}{3} = y$

Simplify

$\frac{9x}{3} - \frac{15}{3} = y \\ 3x - 5 = y \\ y = 3x - 5$

From y = mx+b, the slope is 3.

<h3><u>Answer</u></h3>

$\large \boxed {slope = 3}$

4 0

3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

lyudmila [28]

Answer:

5 hours

Step-by-step explanation:

A motorcycle will complete the 540 mile trip in 11.25 hours

And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.

then,

Speed of the car:

60t + 48t = 540

108t = 540

If you Divide both sides by 108 we get t = 5

So, they will meet in 5 hours,

6 0

3 years ago

How many minutes are in m hours?

notka56 [123]

Answer:

the 2nd one (60m minutes)

Step-by-step explanation:

60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m

8 0

3 years ago

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery servic

sineoko [7]

Answer:

55.32% probability that a late package was delivered by express delivery service 2

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Late delivery.

Event B: Service 2 was used.

A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.

100 - 35 = 65%.

So $P(B) = 0.65$

Service 2 has a record of 2.0% of packages being delivered late.

This means that $P(A|B) = 0.02$

Probability of a late delivery.

35% from service 1. Of those, 3% are late.

65% from service 2. Of those, 2% are late.

So

$P(A) = 0.35*0.03 + 0.65*0.02 = 0.0235$

What is the probability that a late package was delivered by express delivery service 2

$P(B|A) = \frac{0.65*0.02}{0.0235} = 0.5532$

55.32% probability that a late package was delivered by express delivery service 2

5 0

2 years ago

The price of a visit to the dentist is $50 . If the dentist fills any cavities, an additional charge of, 100$ per cavity gets ad

frozen [14]

The cost of the visit to the dentist can be expressed as the cost equals 100x+50.

The initial cost of the appointment would be $50; no matter how many cavities one has, they would still have to pay $50.

The cost of each cavity is represented as 100x, because each cavity costs $100. x represents the number of cavities, as we do not know how many cavities there are.

6 0

3 years ago

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