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k0ka [10]
3 years ago
13

Janie and Jasmine are playing three games at an arcade. Each of the games requires either 2, 3, or 4 tokens. The girls plan to p

lay as many games as they can before running out of tokens. Let m represent the number of games that require 2 tokens; n represent the number of games that require 3 tokens; and p represent the number of games that require 4 tokens.
Janie plays the 3-token game four times. Write two equivalent expressions to represent the number of tokens that Janie will need to play each of the three games at least one time.
Mathematics
1 answer:
DENIUS [597]3 years ago
3 0
I think the answer would be -12 maybe
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What are the coordinates of the point on the directed line segment from (3, 3) to (7,−5) that partitions the segment into a rati
Annette [7]

Answer:

The coordinates of the point is (5.5, -2)

Step-by-step explanation:

Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3

Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;

Let’s call the point dividing the line in the given ratio z.

The coordinates of Z is;

{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}

In this question (x1,y1) = (3,3)

While (x2,y2) = (7,-5)

while a:b = 5:3

Substituting these values into the coordinate equation for point z, we have ;

{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}

= {44/8 , -16/8} = {5.5, -2}

4 0
3 years ago
What is the area of the rectangle?
4vir4ik [10]

Answer:

The area of the rectangle is 216.To understand my answer more briefly,18 times 12=216

Step-by-step explanation:

8 0
3 years ago
A line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify
Tpy6a [65]
The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
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x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
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garik1379 [7]

Answer:

x < -11 or x ∈ (-∞, -11)

Step-by-step explanation:

4x + 6 < 3x - 5

<=> 4x - 3x < -5 - 6

<=> x < -11

7 0
3 years ago
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What is the number of ways to arrange 5 objects from a set of 9 different objects
luda_lava [24]
\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad &#10;\begin{cases}&#10;n=9\\&#10;r=5&#10;\end{cases}\implies _9P_5=\cfrac{9!}{(9-5)!}
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4 years ago
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