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goldenfox [79]
2 years ago
8

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.

Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Given:

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.

To find:

The combined variation equation and find y when x = 6 and z= 3.

Solution:

The variable y varies directly as x and inversely as z.

y\propto \dfrac{x}{z}

y=k\dfrac{x}{z}           ...(i)

Where, k is the constant of proportionality.

Putting x=4, y=2 and z=14, we get

2=k\dfrac{4}{14}

2=k\dfrac{2}{7}

2\times \dfrac{7}{2}=k\dfrac{2}{7}\times \dfrac{7}{2}

7=k

Putting k=7 in (i), we get

y=7\dfrac{x}{z}

Putting x=6 and z=3, we get

y=7\times \dfrac{6}{3}

y=7\times 2

y=14

Therefore, the required equation is y=7\dfrac{x}{z} and the value of y is 14 when x = 6 and z= 3.

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Use the circumference formula: C=3.14D

C=3.14(6)

C=18.84 units

7 0
3 years ago
A CD usually sells for $14.00. If the CD is 20% off, and sales tax is 7%, what is the total price of the CD, including tax?
tankabanditka [31]

Answer:

the total price of the CD including tax is $11.984

Step-by-step explanation:

The computation of the total price of the CD including tax is shown below:

The Selling price of the CD is $14

CD is 20% off

And, the sales tax rate is 7%

So, the total price of the CD is

= ($14 - $14 × 20%) × (1.07)

= $11.2 × 1.07

= $11.984

Hence, the total price of the CD including tax is $11.984

8 0
2 years ago
Im really struggling with these questions can anyone help me?
Alchen [17]
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the clothes are on 45% discount, wich mean they become 55% of their original price.

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the new salary is 103% of the original

10×103% = 10.3
11600×103% = 11,948

Q2:

1+0.24= 1.24
1- 0.27= 0.73

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8 0
3 years ago
Please help!! I will give a good rating and brainliest if it let's me!!!!
zvonat [6]

Answer:

3/4 is the slope

Step-by-step explanation:

slope= mx+b

so,

(10,30) is an exact meet

so is (50,60)

so what is the rise/run

answer

30/40

or

3/4

so mx+b=

3/4x+22

full equation is 3/4x+22

5 0
2 years ago
What is the value of the expression |-5x+12| when x=5
MissTica

First, plug in 5 for x:

| -5 * 5 + 12 | = |-25 + 12| = |-13|

Those two lines are absolute value, which measures the distance from the number to 0 on a number line. This distance is always positive.

The distance from -13 to 0 on a number line is 13. The answer is 13.

6 0
3 years ago
Read 2 more answers
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