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eduard
3 years ago
12

3. If y varies inversely as x and y = 20 when x = 4, find y when x = 8.

Mathematics
2 answers:
miss Akunina [59]3 years ago
7 0

Answer:

y=10

Step-by-step explanation:

Y varies inversely as x means y is inversely proportional to x. Therfore :

y = k/x where k is the constant of proportionality

So to find this constant we use the scenario given.

When y is 20 x is 4. So putting these values in the equation :

y=k/x

20=k/4

k=80

Now that we have K we are can find Y when x is 8:

y=80/x

y=80/8

y=10

Vilka [71]3 years ago
4 0

Answer:

y=2

Step-by-step explanation:

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3 years ago
aura, brian and eric have a total of $86 in their wallets. eric has 2 times what brian has. laura has $6 less than brian. how mu
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Answer:

The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  .

Step-by-step explanation:

The sum of total money does Aura , Brain , Eric have = $86

The money that Eric has = 2 times money that Brain has

The money that Aura has = $6 less than that Brain has

Let The money that Aura has = $A

Let The money that Brain has = $B

Let The money that Eric has = $E

Now, According to question

∵ Sum of total money does Aura , Brain , Eric have = $86

So, $A + $B + $E = $86

Or, A + B + E = 86           .........1

Again

E = 2 × B                           ..........2

Again

A = B - 6                            ..........3

So, (B - 6) + B + 2 B = 86

Or, (B + B + 2 B) = 86 + 6

Or, 4 B = 92

∴   B = \dfrac{92}{4}

i.e B = 23

So,The money that Brain has = B = $23

Putting the value of B in eq 2

∵  E = 2 × B

So, E = 2 × 23

Or, E = 46

So,The money that Eric has = E = $46

Putting the value of B in eq 3

∵ A = B - 6

So, A = 23 - 6

Or, A = 17

So,The money that Aura has = A = $17

Hence, The money that Aura has is $17

The money that Brain has is $23

The money that Eric has is $46  . Answer

6 0
3 years ago
Checkpoint Quiz 1<br> 1. Write a formula for finding the area of a parallelogram.<br> le
azamat

Answer:

The formula for area of a parallelogram is either A=bh or A=\dfrac{d_1d_2}{2}.

Step-by-step explanation:

If base and vertical height of a parallelogram are given, then the area of the parallelogram is:

A=bh

Where, <em>b</em> is base and <em>h</em> is the vertical height of the parallelogram.

If measures of both diagonals are given, then the area of the parallelogram is:

A=\dfrac{d_1d_2}{2}

Where, d_1,d_2 are the two diagonals of the parallelogram.

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3 years ago
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