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Aliun [14]
2 years ago
7

What is the equation of the line that passes through the point (3,2) and has a slope pf -5/3

Mathematics
1 answer:
andrew11 [14]2 years ago
4 0

Answer:

y=-5/3x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-2=-5/3(x-3)

y=-5/3x+15/3+2

y=-5/3x+5+2

y=-5/3x+7

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The 8th grade is selling tickets to the 8th grade formal.The cost per ticket is $15.The decorations and food cost $600,and each
MArishka [77]

Answer:

Step-by-step explanation:

Each ticket is $15.  The number of tickets is what we are trying to solve for.  The class spends a certain amount of money to prepare for the formal.  They hope that the money they make in ticket sales is MORE than what they spend.  The expression that represents the number of tickets at $15 each is 15x, where x is the number of tickets.  They hope that the sales are greater than what they spend, so what we have so far is

15x >

Greater than what, though?  What do they spend?  They spend 600 for the food, so

15x > 600...

but they also have to print a certain, unknown number of tickets at .50 each.  The expression that represents the printing of each ticket is .5x (we can drop the 0; it doesn't change the answer or make it wrong if we drop it off).  So the cost for this affair is the food + the printing.

15x > 600 + .5x

Solve this inequality for x.  Begin by subtracting .5 from both sides to get

14.5x > 600 so

x > 41.3

Because we are not selling (or printing) .3 of a ticket, it's safe to say (and also correct!) that they need to sell (and print) 41 tickets.  If they sell 41 tickets, the profit is found by

15(41) > 600 + .5(41)

615 > 600

This means that at 41 tickets, they make a profit.  At 40 tickets, the inequality looks like this:

15(40) > 600 + .5(40) and

600 > 620.  This is not true, so 40 tickets isn't enough.

8 0
3 years ago
3. At the start of summer, Ben has $250 . He takes a summer
earnstyle [38]

Answer:

Week 4

Step-by-step explanation:

Ben has $250 in the beginning.  He saves $150 per week.

y = 150x + 250

Tim has $1,650 in the beginning.  He spends $200 per week.

y = 1650 - 200x

We are trying to find which x-value produces the same y-value for both equations.  You can do this by setting both equations equal to each other.

150x + 250 = 1650 - 200x

(150x + 250) + 200x = (1650 - 200x) + 200x

350x + 250 = 1650

(350x + 250) - 250 = (1650) - 250

350x = 1400

(350x)/350 = (1400)/350

x = 4

By week 4, they will have the same amount of money.

3 0
3 years ago
You start driving north for 3 miles, turn right, and drive east for another 4 miles. At
Elanso [62]

Answer:

The straight line distance is 5 miles from starting point

Step-by-step explanation:

7 0
3 years ago
How are you today? <br>Take some time to reflect on your day! <br>Have a great day!
PolarNik [594]

Answer:

I am good!

Step-by-step explanation:

Have a fantastic day!

6 0
2 years ago
Read 2 more answers
A ball is thrown from first base to second base and then from second base to home plate. How many feet has the ball been thrown?
RSB [31]

Answer:

B. 90 + 90 √2

Step-by-step explanation:

From first base to the second base, it will travel 90 feet.

From the second base to the home plate, it will travel a longer distance.  How much?  Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.

The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:

h²=90² + 90²

h = √(2 * 90²)

h = 90 √2

So, from second base to home plate, the ball has traveled 90 √2

Overall: 90 + 90 √2

8 0
3 years ago
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