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Dmitry [639]
3 years ago
11

Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

\large\boxed{y+5=\dfrac{2}{3}(x-4)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)

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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
A brownie recipe calls for 1/2 cup of flour, 1/8 cup of cocoa powder, and 3/8 cup of sugar. How many cups of dry ingredients are
natka813 [3]

1/2 x 2= 1

1/8 x 2= 1/4

3/8 x 2= 3/4

3/4 x 1/4 = 3/16

3/16 x 1 = 3/16

YOUR ANSWER IS 3/16 dry ingredients

7 0
3 years ago
What is the solution to this inequality?
solong [7]

Answer: x>−4

Step-by-step explanation:

Let's solve your inequality step-by-step.

6x−5>−29

Step 1: Add 5 to both sides.

6x−5+5>−29+5

6x>−24

Step 2: Divide both sides by 6.

6x/6>-24/6

<h3>x>-4</h3>
7 0
3 years ago
write an expression that has a value of 100 and follows these restrictions. (1) uses each of the four operations at most once. (
posledela
33 * 3 + 3/3 = 100

I do not believe u have to use all of the operations because it says " at most once ". 
5 0
3 years ago
Read 2 more answers
translate the sentence into a equation using n as the unknown number . Then solve the equation for n . 5 increased by half a num
Ksju [112]

Answer:

I think it'll be 5 + n = 11

11 - 5 = 6

n = 6

5 0
3 years ago
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