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## z varies jointly as x and y and z=60 when

**Ask: **z varies jointly as x and y and z=60 when x=5 and y=6 Find z when x=7 and y=6

z=kxy

60=k(5)(6)

k=60/30

k=2 Therefore the equation is z=2xy

z=kxy

z=(2)(7)(6)

z=(14)(6)

z=84 Therefore the equation is 84=kxy

## Z varies jointly as X and y and Z=60 when

**Ask: **Z varies jointly as X and y and Z=60 when X=5 and y=6

A.find Z when X=7 and Y=6

B.find X when Z=72 and Y=4

C.find Y when Z=80 and X=4

Pleaseeeeeeee Answeeeer

**Step-by-step explanation:**

a.Z=7

sorry yan lang ang kaya koh

**Answer:**

B. find X when Z=72 and Y=4

## z varies jointly as x and y and z=60 when

**Ask: **z varies jointly as x and y and z=60 when x=5 and y =6.

a.Find z when x=7 and y=6

b.Find x when z=72 and y=4

c.Find y when z =80 and x=4

**Step-by-step explanation:**

z varies jointly as x and y and z=60 when x=5 and y =6.

* **z** **=** **k**x**y*

*6**0** **=** **k**(**5**)**(**6**)*

*6**0** **=** **k**3**0*

* ** **k**=**6**0**/**3**0*

* ** **k** **=** **2*

a.Find z when x=7 and y=6

*z** **=** **2**(**7**)**(**6**)*

* ** ** **z** **=** **8**4*

b.Find x when z=72 and y=4

*72 = **2**(**4**)**x*

* ** ** ** **7**2** **=** **8**x*

* ** ** ** ** ** **x** **=** **7**2** **/**8*

* ** ** ** ** ** **x** **=** **9*

c.Find y when z =80 and x=4

*80 = 2(4)y*

*80 = 2(4)y 80 = 8y*

*80 = 2(4)y 80 = 8y y = 80/8*

*80 = 2(4)y 80 = 8y y = 80/8 y = 10*

## 1. z varies jointly as x and y and z

**Ask: **1. z varies jointly as x and y and z = 60 when x = 5 and y = 6.

a. Find z when x = 7 and y = 6.

b.Find x when z = 72 and y = 4.

c. Find y when z = 80 and x = 4.

**Answer:**

a. **Z**** ****=**** ****8****4**

b. ** ****X**** ****=**** ****9**

c. ** ****Y**** ****=**** ****1****0**

**Step-by-step explanation:**

click the photo for the solution.

## JOINT VARIATION

### ==============================

### Solve:

[tex] implies sf large z = kxy[/tex]

[tex] large tt red{given} begin{cases} sf : z = 60 \ sf : x = 5 \ sf : y = 6 end{cases}[/tex]

[tex] : [/tex]

Find the constant of the variation (k), use the given to substitute.

[tex] implies sf large 60 = k(5)(6)[/tex]

[tex] implies sf large 60 = k(30)[/tex]

[tex] implies sf large frac{60}{30} = frac{k( cancel{30})}{ cancel{30}} \ [/tex]

[tex] implies sf large therefore : k =2[/tex]

### ==============================

### A. Find z when x = 7 and y = 6.

[tex]large tt red{given(A)} begin{cases} sf : k = 2 \ sf : x = 7 \ sf : y = 6 end{cases}[/tex]

[tex]implies sf large z = 2(7)(6)[/tex]

[tex] sf large implies huge orange{z = 84}[/tex]

### ==============================

### B. Find x when z = 72 and y = 4.

[tex]large tt red{given(B)} begin{cases} sf : k = 2 \ sf : z = 72 \ sf : y = 4 end{cases}[/tex]

[tex]implies sf large 72 =2x(4)[/tex]

[tex]implies sf large 72 =8x[/tex]

[tex]implies sf large frac{72}{8} = frac{ cancel8x}{ cancel8} \ [/tex]

[tex]sf large implies huge orange{x = 9}[/tex]

### ==============================

### C. Find y when z = 80 and x = 4.

[tex]large tt red{given (C)} begin{cases} sf : k = 2 \ sf : x = 4 \ sf : z = 80 end{cases}

[/tex]

[tex]implies sf large 80 =2(4)y[/tex]

[tex]implies sf large 80 =8y[/tex]

[tex]implies sf large frac{80}{8} = frac{ cancel8y}{ cancel8} \[/tex]

[tex]sf large implies huge orange{y = 10}[/tex]

### ==============================

**#CarryOnLearning**

(ノ^_^)ノ

## Z varies jointly as x and y and z=60 when

**Ask: **Z varies jointly as x and y and z=60 when x=5 and y=6.

a.Find z when x=7 and y=6.

b.Find x when z=72 and y=4.

c.Find y when z=80 and x=4.

**EQUATION: Z = kxy**

60 = k (5)(6)

60 = k (30)

60 / 30 = k 30 / 30

**2 = k**

a. z = (2)(7)(6)

**z = 84**

**ANSWER: z = 84**

b. 72 = (2) x (4)

72 = 8x

72 / 8 = 8x / 8

**9 = x**

**ANSWER: 9 = x**

c.80 = (2)(4) y

80 = 8y

80 / 8 = 8y / 8

10 = y

**ANSWER: 10 = y**

## Z varies jointly as x and y and z=60 when

**Ask: **Z varies jointly as x and y and z=60 when x=5 and y=6. a.Find z when x=7 and y=6. b.Find x when z=72 and y=4. c.Find y when z=80 and x=4.

**Answer:**

B.Find x when z=72and y=4

**Step-by-step explanation:**

Pakitama nalang Kung mali

## If z = 60 when x = 5 and y

**Ask: **If z = 60 when x = 5 and y = 6,find z when x = 7 and y = 6.

**Answer:**

552 ho sagot

**e****x****p****l****a****n****a****t****i****o****n****:**

**[tex]cary : on : learning : \ \ brainlest : bunch \ \ \ stay : safe [/tex]**

**Answer:**

84

**Step-by-step explanation:**

z = k xy

60 = k 5*6

k = 60 / 30

k = 2

z = (2) * 7 * 6

z = 84

## Z varies jointly as x and y and z=60 when

**Ask: **Z varies jointly as x and y and z=60 when x=5 and y=6

Find z when x=7 and y=6.

**Answer**

Um Z varies jointly as x and y and z=60 when x=5 and y=6

Find z when x=7 and y=6. aswer iiiissss 7? iguess

**Step-by-step explanation:**

ok

## Z varie jointly a x and y and z=60 when

**Ask: **Z varie jointly a x and y and z=60 when x=5 and y=6. Find z when x=7 and y=6.

z = kxy

60 = k(5)(6)

60 = 30k

60/30 = k

k = 2

z = 2xy

z = 2(7)(6)

z = 84

#CarryOnLearning

## Z varies jointly as x and y and z=60 when

**Ask: **Z varies jointly as x and y and z=60 when x=5 and y=6. a.Find z when x=7 and y=6. b.Find x when z=72 and y=4. c.Find y when z=80 and x=4.

**Answer:**

B.

correct nyo na lng ako pag mali

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