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schepotkina [342]
2 years ago
15

Assume that y varies directly with

Mathematics
1 answer:
Galina-37 [17]2 years ago
5 0

Answer:

x = 4/3

Step-by-step explanation:

Direct variation:

y = kx

We use the given x-y point to find k.

6 = k * 2/3

k = 6 * 3/2

k = 9

The equation is

y = 9x

For y = 12,

12 = 9x

x = 12/9

x = 4/3

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the price of a pair of headphones at store a is 3/4 the price at store a the price at store a is 89.25 find how much you save by
melomori [17]

Answer:22.31

Step-by-step explanation:

6 0
3 years ago
The ratio of boys to girl in a certain class is 4:7. if there are 33 students in the class, how many of them are girls.
Elden [556K]
Your answer is that 21 are girls
7 0
2 years ago
Which exponential equation is equivalent to this logarithmic equation log x5 + log x12 =7
trapecia [35]

Answer:

x⁷ = 60

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>

  • log x⁵ + log x ¹² = 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>

  • The expotential equation .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

Given logarithmic equation is ,

⇒ log x⁵ + log x ¹² = 7

⇒ log x ⁵ * ¹² = 7 [ log aⁿ + log aⁿ' = log aⁿ * ⁿ' ]

⇒log x ⁶⁰ = 7

In expotential form we can write it as ,

⇒ x⁷ = 60

5 0
3 years ago
A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore
Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

3 0
2 years ago
Find the compound interest on 50000 for 9 month at 8 %
Ahat [919]

Answer:The answer is 5, 414.52

Step-by-step explanation:

Since number of years isn't imputed, it will be assumed it's for 1 year

Hence using Compound interest formula

A = P( 1 + r/n)^not

Inputting values

A = 5000( 1 + 0.08/9) ^ 9*1

A = 5, 414.52

Hope this helps

7 0
3 years ago
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