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4 years ago

Marie pays $2.50 for 5 pencils. Use the drop-down menus to explain how to determine and

Mathematics

1 answer:

Luden [163]4 years ago

3 0

Answer:

<h2>The constant of proportionality is 0.50</h2>

Step-by-step explanation:

The constant of proportionality is the unit ratio between variables.

According to the problem, Marie pays $2.50 for 5 pencils. So, the unit ratio os this would be the constant of proportionaliy. To find it, we just need to divide.

$C=\frac{\$ 2.50}{5 \ pencils}=0.50$

Therefore, the constant of proportionality is 0.50, which means Marie paid $0.50 per pencil.

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On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

1... -14 6(3k + 5)----------------------------------------------------------------------------------------------

Lelu [443]

Answer:

-5/3, or in decimal form, -1.666.

Step-by-step explanation:

a. -146 (3k+5) --- distribute the -146 to "3k" and "+5."

b. -438k - 730 = 0 --- get the variable k to one side of the equation.

c. -438k=730 --- divide by -438 on both sides.

d. the answer you get is 730/-438, which, in simpler terms, is -5/3, or -1.666.

<em>Hope this helps! :)</em>

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