Which ratio can be used to form a proportion with the given ratio 8 to 2

Mathematics

1 answer:

Lesechka [4]3 years ago

6 0

Answer:

Step-by-step explanation:

8 can go into 64 8 times, and 2 can go into 144 72 times.

8 can't go into 6, and 2 cant go into 9

8 can't go into 10, but 2 can go into 14

8 can't go into 12, but 2 can go into 16

Hope that helps

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The formula B=32A is used in New England to estimate the minimum furnace output, B, in BTUs, for a modern house with A square fe

Galina-37 [17]

B=(32)(1700) your answer should be 54,400 BTU's

4 0

3 years ago

Cost of an oil change: $18.00; Markup: 3/4 answers

hjlf

I am assuming that the cost of an oil change already includes the mark-up.

So, 18 is 175%. 18 ÷ 1.75 = 10.29 is the original cost.

10.29 * 3/4 = 30.87/4 = 7.71 mark-up
10.29 + 7.71 = 18

Or if 18 is the basis of the mark-up, then,

18 * 3/4 = 54/4 = 13.50 mark-up
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4 years ago

Hyperbola Question:

AveGali [126]

Answer:

$\dfrac{x^{2}}{1210000 } - \dfrac{y^{2}}{5759600} = 1$

Step-by-step explanation:

A hyperbola is a curve for which the difference of the distances |d₂ - d₁| of any point P from the foci is constant.

The definition leads to the equation

$\dfrac{x^{2}}{a^{2}} - \dfrac{y^{2}}{b^{2}} = 1$

1. Calculate the value of a²

Assume the neighbours are at the foci A and B.

The explosion is farther from B than from A, so it occurred on the right branch of the hyperbola.

Then AB = 1 mi = 5280 ft

and the distance from the focus to the y-axis is

c = 2640

The vertices are (±a,0).

The speed of sound is 1100 ft/s, so B is 2200 ft further from the explosion.

The distance from A to the vertex V₁ is c - a. Then

AB = 2200 + 2(c - a) = 2200 -2(2640 - 2a) = 2200 +5280- 2a = 5280

2a = 2200

a = 1100

a² = 1 210 000

2. Calculate the value of b²

$\begin{array}{rcl}a^{2} + b^{2} & = & c^{2}\\1100^{2} + b^{2} & = & 2640^{2}\\b^{2} & = & 2640^{2} - 1100^{2}\\& = & 6969600 - 1210000\\& = & \mathbf{5759600}\\\end{array}$