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2 years ago

5

The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in t

he situation.

2 answers:

Bas_tet [7]2 years ago

4 0

The cost depends on how much time you take on the table
So the independent variable is time and dependent is the cost.

Marina CMI [18]2 years ago

3 0

The cost is dependent on the time played because the cost and go up without the time going up

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Sixty percent of Company A’s employees are considered top performers. Fifty five percent of Company A’s employees are in a rigor

pickupchik [31]

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2 years ago

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A rectangle has height and width changing in such a way that the area remains constant 2 square feet. At the instant the height

hichkok12 [17]

Answer:

$\frac{1}{3}$ ft/min is the rate of changing of width

Step-by-step explanation:

Given -

The area always remain constant i.2 2 square feet.

Height of the rectangle = 2 feet

Rate of changing of height = 6 feet per minute

Since area is constant

2 sq ft = (2 * 6) ft/min * 1 * x ft/min

x = $\frac{1}{3}$ ft/min

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2 years ago

norma cut a triangle out of construction paper for an art project. the area of the triangle os 84.5 square centimeters. select t

qwelly [4]

Answer:

h = 13

Step-by-step explanation:

Given the area of a triangle as 84.5 .

The correct value to complete the formula to calculate for the height h is 13 .

Area of a triangle = 1/2 b x h

b = base

h = height

Using the above formula

84.5 = 1/2 x 13 x h

84.5 = 13/2 x h

84.5 = 6.5 x h

84.5 = 6.5h

Divide both sides by 6.5 to get h

84.5/6.5 = 6.5h /6.5

13 = h

h = 13

3 0

2 years ago

Factorise 125x^3 -27y^3

telo118 [61]

Answer:

(5x - 3y)(25x² +15xy + 9y²)

Step-by-step explanation:

125x³ - 27y³ is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Given

125x³ - 27y³

= (5x)³ - (3y)³

= (5x - 3y)((5x)² + (5x)(3y) + (3y)²)

= (5x - 3y)(25x² + 15xy + 9y²)

6 0

2 years ago

Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t

andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: $8$ miles

2nd day: $12$ miles

3rd day: $18$ miles

4th day: $27$ miles

Step-by-step explanation: As the problem says, $x$ is the number of miles he rides on the first day. Let's start off with that.

1st day: $x$ miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: $1.5x$

Then you multiply $1.5$ to $1.5x$ to get the third day's.

3rd day: $2.25x$

4th day: $3.375x$

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

$x+1.5x+2.25x+3.375x=65$

$8.125x=65$

$\frac{8.125x}{8.125}=\frac{65}{8.125}$

$x=8$

Yes! Now that we've got the hard part done... substitute 8 for ever single $x$ .

1st day: $8$ miles

2nd day: $1.5(8)=12$ miles

3rd day: $2.25(8)=18$ miles

4th day: $3.375(8)=27$ miles

-------------------------

Checking my answer:

Just add the miles!

$8+12+18+27=65$

$65=65$

✓

-----------------------

Hope that helps! :D

5 0

2 years ago