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agasfer [191]
3 years ago
5

Write the function that models the relationship. z varies directly with x and inversely with y, and z = 10 when x = 5, y = 2

Mathematics
2 answers:
Mars2501 [29]3 years ago
6 0

Step-by-step explanation:

z=3227

Explanation:

the initial statement here is z∝xy2

to convert to an equation multiply by k the constant

of variation

⇒z=kxy2

to find k use the given condition

z=18 when x=6 and y=2

z=kxy2⇒k=y2zx=4×186=12

equation is ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣22z=12xy222∣∣∣−−−−−−−−−−−−−

when x=8 and y=9

z=12×881=3227

fiasKO [112]3 years ago
6 0

Answer:

z = \frac{4x}{y}

Step-by-step explanation:

Given z varies directly with x and inversely with y then the equation relating them is

z = k × \frac{x}{y} ← k is the constant of variation

To find k use the condition z = 10 when x = 5 and y = 2, then

10 = k × \frac{5}{2} ( multiply both sides by 2 to clear the fraction

20 = 5k ( divide both sides by 5 )

4 = k

z = \frac{4x}{y} ← equation of variation

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Ksivusya [100]

Answer:

1.96 smaller pizzas can fit into the larger pizza.

Step-by-step explanation:

Area of smaller pizza:

π × (10/2)^2 = π × 5^2 = 25π square inches

Area of larger pizza:

π × (14/2)^2 = π × 7^2 = 49π square inches

Ratio of area of larger pizza to area of smaller pizza: 49π / 25π = 1.96

7 0
1 year ago
Help me with this please
Tcecarenko [31]

Answer:

It would be -13

Step-by-step explanation:

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2 years ago
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Plz answer all measures plz ASAP thx
LiRa [457]

Lines <em>a</em> and <em>b</em> are parallel, so lines <em>p</em>, <em>q</em>, and <em>t</em> are considered to be transversals. To solve this, you make use of the fact that alternate interior angles are equal, as are alternate exterior angles, as are corresponding angles. Of course any linear pair of angles is supplementary.

∠1 = 90° — corresponding angle to the right angle above it

∠2 = 68° — the sum of 22° and angles 1 and 2 is 180°

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∠4 = 112° — equal to angle 3

∠5 = 68° — equal to angle 2; supplementary to angle 4

∠6 = 56° — base angle of isosceles triangle with 68° at the apex; the complement of half that apex angle

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3 0
3 years ago
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Solve image below:
ludmilkaskok [199]

Answer: x=\frac{6}{-3y+8}

Step-by-Step Explanation:

Let's solve for x.

\frac{x-2}{3y-5} =\frac{x}{3}

Step 1: Multiply both sides by 3y-5.

x-2=\frac{3xy-5x}{3}

Step 2: Multiply both sides by 3.

3x-6=3xy-5x

Step 3: Add -3xy to both sides.

3x-6+-3xy=3xy-5x+-3xy

-3xy+3x-6=-5x

Step 4: Add 5x to both sides.

-3xy+3x-6+5x=-5x+5x

-3xy+8x-6=0

Step 5: Add 6 to both sides.

-3xy+8x-6+6=0+6

-3xy+8x=6

Step 6: Factor out variable x.

x(-3y+8)=6

Step 7: Divide both sides by -3y+8.

\frac{x(-3y+8)}{-3y+8}=\frac{6}{y-3y+8}

x=\frac{6}{-3y+8}

Answer:

x=\frac{6}{-3y+8}

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Answer:

Following are the sample list can be attached as follows:

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In the given question some information is missing that is attachment of list which can be attached as follows:

please find the attachment list:

by evaluating the list it will give the answer that the both the samples most want to wear mascara the least want to wear lipstick.

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