All categories

3 years ago

If x and y vary directly, and x=10 when y=3, what will be the value of x when y=9?

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

3 0

As x and y vary directly then x∝y i.e. x=ky, where k is a constant.

When x=24, y=8 i.e. 24=k×8 and therefore

k=248=3

and relation between x and y is hence x=3y

and when y=9, x=3×9=27.

I hope this is what you're looking for.

You might be interested in

A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. the function f(

Alexxx [7]

Answer:

Shifted 5 unit right side then stretched vertically by the factor 100

Step-by-step explanation:

Here, parent function,

$f(x)=\frac{1}{x}$

Transformed function,

$f(x) = \frac{100}{x-5}$

Since, if a function f(x) gives cf(x), where c is any number,

Then the function was vertically stretched by factor c,

While, the function gives f(x-c),

Then the function was shifted c unit right.

Hence, the graph of $f(x)=\frac{1}{x}$ was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of $f(x)=\frac{100}{x-5}$

4 0

2 years ago

Convert the measurement. 56.8 grams= ounces

Inessa05 [86]

Answer:

2.003561 ounces or 2.0 rounded

Step-by-step explanation:

7 0

2 years ago

5. Solve each equation. a. 6(3x - 5) - 7x = 25

Ivahew [28]

Answer:

Step 1: Simplify both sides of the equation.

6(3x−5)−7x=25

(6)(3x)+(6)(−5)+−7x=25(Distribute)

18x+−30+−7x=25

(18x+−7x)+(−30)=25(Combine Like Terms)

11x+−30=25

11x−30=25

Step 2: Add 30 to both sides.

11x−30+30=25+30

11x=55

Step 3: Divide both sides by 11.

x=5

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

I need help ASAP please

aleksley [76]

Answer:

just subtract all 3 of the y intecept part, i think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

If two points on line l above have coordinates (0, A) and (2, −3), and the slope of the line is A, then what is the value of A?

Vlada [557]

Answer:

A = -1

So, option (B) is the correct answer.

Step-by-step explanation:

The two points on line have coordinates: p (x₁, y₁) = (0, A) and q(x₂, y₂) = (2 , -3)

Slope of line = A

Slope of line = $\frac{y_{2} - y_{1}}{x_{2} -x_{1}}$

Now since the slope of line is A and its has two coordinates (0, A) and (2 , -3), ∴

$A = \frac{y_{2} - y_{1}}{x_{2} -x_{1}}$

$A = \frac{-3 - A}{2 - 0}$

$2A = -3 - A$

$2A + A = -3$

$3A = -3$

$A = -1$

So, option (B) is the correct answer.

6 0

2 years ago