jon buys packages of pens for $5 each. identify the independent and dependent variables in the situation

Answers

Answer 1

Answer: The independent variables is the number of packages and the dependent variable is the price of the pens

Answer 2

Answer: The independent variable is the variable that is changed and manipulated, and the dependent variable is the outcome of this change. So the independent variable is the number of packs that Jon buys, and the dependent variable is the overall cost. Additionally, the constant variable is the cost of the pens ($5) because that stays the same.

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6 sweets cost 42p altogether how much do 8 sweets cost

Answers

The best thing to do is to find the cost of one sweet, and to do this, divide 42 by 7.
42/7= 6
Therefore, one sweet costs 6p.
To find the cost of 8 sweets, you've got to multiply 6 by 8, and this gives you 54p.
Therefore, 8 sweets cost 54p
This is basically just finding unit rate and multiplying.
Hope this helps :)

42 by 7.
42/7= 6
1 sweet = 6p*8=48p

(30/ If the surface of a lake represents a plane, what geometricterm is represented by the intersection of a fishing line
and the lake's surface?

Answers

Answer:

A point

Explanation:

The surface of a lake represents a plane because it extends in all directions at the same level. Imagine it as a quite surface, without imperfections, smooth and perfectly plane, it is a two-dimensional figure.

A fishing line that enters into the water, crossing the lake's surface, representes a line, which may be either perpendicular or leaned.

Thus the intersection of those two figures is a point.

A surface and a line that is not included in the plane and is not parallel to it will meet at a single point, which is what is represented by the situation stated.

Answer:

The geometric term that is represented is

a point.

Which equation does the graph below represent?
y=1/3+x
y=1/3x
y=3+x
y=3x

Answers

Lets find 2 points, one obvious one is (0,0), another point is (12,4)

$Slope = (4-0)/(12-0) =(4)/(12) = (4* 1)/(4* 3) = (1)/(3)$

y = mx + b

m is the slope

we got m = 1/3

We can eliminate answer choices C and D.

y = 1/3x + b

we need to solve for b

Plug in the point (0,0) and solve for b

0 = 1/3(0) + b

0 = 0 + b

b = 0

The equation of the line is y = 1/3x + 0, or y = 1/3x

Your answer is B.

Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space. Based on the tree diagram, what is the probability that the science project is first?