All categories

3 years ago

Direct Variation: If y = -16, when x = 4, find x when y = -96.

Mathematics

1 answer:

Andrews [41]3 years ago

3 0

Answer:

x = 24

Step-by-step explanation:

y= -16

-16 x 6 = -96

y= -96

x= 4

4 x 6 = 24

x=24

You might be interested in

In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s

viva [34]

Answer:

$Concentration = 8.26kg/m^3$

Step-by-step explanation:

Given

$V = 440000L$ --- volume of tank

$m = 10,000 kg$ --- solid mass

$r = 40000L/hr$ --- outflow rate

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

$Amount = r * Time$

$Amount = 40000L/hr * 4hr$

$Amount = 40000L * 4$

$Amount = 160000L$

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

$Ratio = \frac{Amount}{Volume}$

$Ratio = \frac{160000L}{440000L}$

$Ratio = \frac{16}{44}$

$Ratio = \frac{4}{11}$

Next, calculate the amount of solid left.

$Amount (Solid)= Ratio * m$

$Amount (Solid)= \frac{4}{11} * 10000kg$

$Amount (Solid)= \frac{40000}{11}kg$

$Amount (Solid)= 3636kg$

Lastly, the concentration is calculated as:

$Concentration = \frac{Amount (Solid)}{Volume}$

$Concentration = \frac{3636kg}{440000L}$

Convert L to cubic meters

$Concentration = \frac{3636kg}{440000* 0.001m^3}$

$Concentration = \frac{3636kg}{440m^3}$

$Concentration = 8.26kg/m^3$

3 0

3 years ago

On a coordinate plane, a circle has a center at (8, 9). Concentric circles are circles with the same center but different radii.

slega [8]

Answer:

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

Step-by-step explanation:

If the circle has a center at (8,9), the equation for this circle is:

$(x-8)^2 + (y - 9)^2 = r^2$

All concentric circles have the same center, so their equations need to have the same left side of the equation above.

-> x2 + y2 = 25

This circle has a center at (0,0), so it's not concentric to our circle.

-> (x – 8)² + (y – 9)² = 3

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y – 9)² = 14

This circle has a center at (8,9), so it's concentric to our circle.

-> (x – 8)² + (y + 9)² = 3

This circle has a center at (8,-9), so it's not concentric to our circle.

-> (x + 8)² + (y + 9)² = 25

This circle has a center at (-8,-9), so it's not concentric to our circle.

-> (x + 9)² + (y + 8)² = 3

This circle has a center at (-8,-9), so it's not concentric to our circle.

Correct options:

(x – 8)² + (y – 9)² = 3

(x – 8)² + (y – 9)² = 14

3 0

3 years ago

Read 2 more answers

A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation?

STALIN [3.7K]

3+2(x) x is for miles

8 0

3 years ago

Read 2 more answers

Asap please !

nevsk [136]

Answer:

Maybe, since it's a fair game.

Step-by-step explanation:

8 0

3 years ago

If a=8 and b=4, evaluate the following expression:2a−3b

Nata [24]

Answer:

Step-by-step explanation:

2(8)-3(4)

16-12

7 0

3 years ago

Read 2 more answers