All categories

3 years ago

What is the constant of proportionality y=4.75x

Mathematics

1 answer:

Temka [501]3 years ago

4 0

Answer:

4.75

Step-by-step explanation:

The equation of y proportional to x is

y = kx ← k is the constant of proportionality

y = 4.75x ← is in this form

with k = 4.75

You might be interested in

Kyle is shopping for his favorite

nalin [4]

Answer:

The 9 ounce box is the better deal, and Kyle will save 2 cents.

Step-by-step explanation:

First, you should find how much 1 once would cost in the 9 ounce box.

Do 2.52 ÷ 9 = x

x = 0.28

This means that in the 9 ounce box, one ounce costs 28 cents.

Now, find how much one once would cost in the 12 ounce box.

3.60 ÷ 12 = x

x = 0.30

This means that in the 12 ounce box, one ounce costs 30 cents.

This means that the 9 ounce box is a better deal, because it costs less per ounce.

0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.

So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.

5 0

2 years ago

Use the 3 trig ratios to find each unknown side length. Round all answers to 1 decimal

STatiana [176]

Note: You missed to add some of the details of the question.

Hence, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the right angled-triangle ABC as shown in the attached diagram

From the triangle:

Ф= ∠C = 30°

AB = 6 units

BC = y

tan Ф = opp ÷ adjacent

The opposite of ∠C = 30° is the length '6'.

The adjacent of ∠C = 30° is the length 'y'.

As Ф= ∠C = 30°

tan Ф = opp ÷ adjacent

tan 30 = 5 ÷ y

1 ÷ √3 = 5 ÷ y

y = 8.7 units

Therefore, the length of the unknown side length 'y' is 8.7 units.

7 0

2 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints are (5,-9) and (1,3).

____ [38]

Given coordinates of the endpoints of a line segment (5,-9) and (1,3).

In order to find the equation of perpendicular line, we need to find the slope between given coordinates.

Slope between (5,-9) and (1,3) is :

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{3-\left(-9\right)}{1-5}$

$m=-3$

Slope of the perpendicular line is reciprocal and opposite in sign.

Therefore, slope of the perpendicular line = 1/3.

Now, we need to find the midpoint of the given coordinates.

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$=\left(\frac{1+5}{2},\:\frac{3-9}{2}\right)$

$=\left(3,\:-3\right)$

Let us apply point-slope form of the linear equation:

y-y1 = m(x-x1)

y - (-3) = 1/3 (x - 3)

y +3 = 1/3 x - 1

Subtracting 3 from both sides, we get

y +3-3 = 1/3 x - 1 -3

3 0

3 years ago

Cameron created a composite figure by stacking three cubes the cubes measure 2 inches on each side what is the volume of the c

8090 [49]

Answer:

24 cubic inches.

Step-by-step explanation:

The volume of one cube = s * s * s or s^3

s = 2 inches

V = s^3

V = 2 * 2 * 2 or 2^3

V = 8 cubic inches.

The volume of 3 of them is 8*3 = 24 cubic inches.

8 0

3 years ago

Mrs brown wants to cook 5 dishes on a stove with 2 burners. The times she needs to cook each dish are 40min,15min,35min,10min an

Sphinxa [80]

Answer:

75 minutes

Step-by-step explanation:

First cook 40 and 45 min dishes on separate burners. Then after 40 min put 35 min dish to be cooked on that burner. This will take 75 minutes time.

On second burner put firstly 15 min and then 10 min dish or vice versa as it doesn't matter. This second burner will take 70 minutes which is less then first one.

8 0

3 years ago