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3 years ago

8

the senior class is taking a trip to an amusement park. they received a special deal for every 3 tickets they purchased they rec

eived one free ticket. 3 tickets cost $53.25. the total purchase of tickets cost $1384.50. how MANY tickets did they receive?

1 answer:

lina2011 [118]3 years ago

6 0

The answer is 34 tickets. Hope this helps!

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Which expressions are equivalent to Negative 9 (two-thirds x + 1)? Check all that apply.

Sav [38]

<u><em>Answer:</em></u>

<u><em /></u> $-9(\frac{2}{3}x) + 9(1)\\ \\-6x + 9$

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following rules:</u>

<u>1- Distribution property:</u>

<u /> $a(b+c) = ab+ac$

<u>2- Simplification of fractions:</u>

<u /> $\frac{xy}{yz}=\frac{x}{z}$

<u>3- Signs in multiplication:</u>

+ve * +ve = +ve

-ve * -ve = +ve

+ve * -ve = -ve

<u>Now, for the given problem, we have:</u>

<u></u> $9 (\frac{2}{3}x + 1)$

<u>Starting with the distributive property:</u>

<u /> $-9 (\frac{2}{3}x +1) = -9(\frac{2}{3}x) - (-9)(1) = -9(\frac{2}{3}x) + 9(1)$

..................>This corresponds to option 1

<u>Now, we simplify the output from the above step:</u>

<u /> $-9(\frac{2}{3}x) + 9 = \frac{-9*2}{3}x + 9 = -6x+9$

................> This corresponds to option 5

Hope this helps :)

4 0

3 years ago

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Points A and B have coordinates (3,1,2) and (1,-5,4) respectively. Point C lies on line AB such that AC:BC=3:2. Find position ve

Sever21 [200]

Answer:

The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

Step-by-step explanation:

* Lets revise how to solve the problem

- If the endpoints of a segment are (x1 , y1 , z1) and (x2 , y2 , z2), and

point (x , y , z) divides the segment externally at ratio m1 :m2, then

$x=\frac{m_{1}x_{2}-m_{2}x_{1}}{m_{1} -m_{2}},y=\frac{m_{1}y_{2}-m_{2}y_{1}}{m_{1}-m_{2}},z=\frac{m_{1}z_{2}-m_{2}z_{1}}{m_{1}-m_{2}}$

* Lets solve the problem

∵ AB is a segment where A = (3 , 1 , 2) and B = (1 , - 5 , 4)

∵ Point C lies on line AB such that AC : BC=3 : 2

∵ From the ratio AC = 3/2 AB

∴ C divides AB externally

- Lets use the rule above to find the coordinates of C

- Let Point A is (x1 , y1 , z1) , point B is (x2 , y2 , z2) and point C is (x , y , z)

and AC : AB is m1 : m2

∴ x1 = 3 , x2 = 1

∴ y1 = 1 , y2 = -5

∴ z1 = 2 , z2 = 4

∴ m1 = 3 , m2 = 2

- By using the rule above

∴ $x=\frac{3(1)-2(3)}{3-2}=\frac{3-6}{1}=\frac{-3}{1}=-3$

∴ $y=\frac{3(-5)-2(1)}{3-2}=\frac{x=-15-2}{1}=\frac{-17}{1}=-17$

∴ $z=\frac{3(4)-2(2)}{3-2}=\frac{12-4}{1}=\frac{8}{1}=8$

∴ The coordinates fo point c are (-3 , -17 , 8)

* The position vector of point C is <-3 , -17 , 8> or -3i - 17j + 8k

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3 years ago

Hurry! i need help! What is the slope of y=x+5

Advocard [28]

you cant find the slope without a graph or two points so if you add a graph or two points maybe I can help you

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3 years ago

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Select the story problem that this division problem represents.

salantis [7]

I think the answer is c. hope that helps

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3 years ago

Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this num

Romashka-Z-Leto [24]

Answer:

3

Step-by-step explanation:

The Absolute value of -3 is 3 because it's the distance away from 0. Both have the same distance away from 0.

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