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2 years ago

Y is inversely proportional to x. When x=9, y = 8. Find y when x= 6.

Mathematics

2 answers:

aleksley [76]2 years ago

7 0

Answer:

y = 12 when x = 6

Step-by-step explanation:

The equation for inverse proportion is

xy = k where k is a constant

Let x = 9 and y = 8

9*8 = k

72 = k

The equation is xy = 72

Let x=6

6*y = 72

Divide each side by 6

6y/6 = 72/6

y =12

Pani-rosa [81]2 years ago

3 0

Answer:

it should be 5

Step-by-step explanation:

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Tamiku [17]

Answer: 32 dancers

Step-by-step explanation:

I drew a chart and on the side with the singers you count by 5's until u get to 30. On the dancers side of the chart you count by 6's until it lines up with 30 on the singers side.

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3 years ago

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A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A wit

aliina [53]

Answer: All possible solutions would be

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Step-by-step explanation:

Let the number of vehicle of type A be 'x'.

Let the number of vehicle of type B be 'y'.

Since we have given that

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Number of axles of type B = 9

After 2 hours, number of counts = 101

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$2x+9y=101$

So, all possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

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3 years ago

In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.

Flauer [41]

Diagonals of a rectangle are congruent.

18x - 28 = x + 380

Solving for x, I get 17.

So, x = 17.

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PR = 18(17) - 28

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QS = x + 380

QS = 17 + 380

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2 years ago

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A customer at Lost Pastores placed an order for 3 burritos which was priced at x amount of dollars each. He also ordered a plate

DIA [1.3K]

Answer:

3x +12.95 = 32.46

Step-by-step explanation:

3 burritos plus x + 12.95 = $32.46

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2 years ago

The gable end of the roof shown is divided in half by a vertical brace. Find the distance h (in ft) from an eave to the peak. 41

nlexa [21]

Answer:

h = 9 ft

Step-by-step explanation:

Assume the diagram is like the one below.

∆ABD is a right triangle.

We can use Pythagoras' Theorem to find the height h.

$\begin{array}{rcl}h^{2} + 40^{2} & = & 41^{2}\\h^{2} + 1600 & = & 1681\\h^{2} & = & 1681 - 1600\\& = &81\\h& = & \sqrt{81}\\&=& \mathbf{9}\end{array}\\\text{The height of the gable is $\large \boxed{\textbf{9 ft}}$}$

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3 years ago