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Shkiper50 [21]
3 years ago
8

If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16

Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 24 when x = 6 , then

24 = 6k ( divide both sides by 6 )

4 = k

y = 4x ← equation of proportion

When y = 16, then

16 = 4x ( divide both sides by 4 )

4 = x

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Answer:

Factors of 35 = 1, 5, 7 and 35

Factors of 8= 1, 2, 4, 8.

common = 1

7 0
2 years ago
the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 ter
Nina [5.8K]

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

S_{30} = \frac{30}{2} [ (2 × - 27) + (29 × 6) ]

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3 years ago
What is the domain of the graph?
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Domain:
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3 years ago
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf
Sergeeva-Olga [200]

Answer:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

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3 years ago
Several students in Ashton’s class were randomly selected and asked how many text messages they sent yesterday. Their answers we
alex41 [277]

Answer:

Hello Love!

All range is in math Is the highest number subtracted by the smallest number so our equation is 15 - 0 = 15

so 15 is our range!

8 0
3 years ago
Read 2 more answers
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