What is the greatest common factor of x2y and xy2 ?

Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in b

stich3 [128]

Answer:

The equations are:

$T = 2Y$ and $T + 2Y = 15$

Step-by-step explanation:

Given

Represent bones eaten Today with T and yesterday with Y

Required

Write the equation

In the first statement, we have that:

$T = 2Y$

Reading further; In the second statement

$T + 2Y = 15$

Hence, the equations are:

$T = 2Y$ and $T + 2Y = 15$

Solving further:

Substitute 2Y for T in the second equation

$2Y + 2Y = 15$

$4Y = 15$

Divide both sides by 4

$Y = \frac{15}{4}$

$Y = 3.75$

Recall that

$T = 2Y$

$T= 2 * 3.75$

$T= 7.5$

7 0

2 years ago

. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gall

taurus [48]

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

7 0

2 years ago

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

cluponka [151]

<h2>Answer:</h2><h2>volume of the cylinder = 2π $x^{3}$ </h2>

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = π $r^{2}$ h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = π $r^{2}$ h = π $x^{2}$ (2x)

volume of the cylinder = 2π $x^{3}$

5 0

2 years ago

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The mass of an object is equal to the product of the object's density and volume.

AlexFokin [52]

The answer is A you divide 11.3 by 16

6 0

2 years ago

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If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.

nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here, triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒ m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° > ( m∠ L+ m∠ N ) > 0 ( Since, a < b ⇒ - a > - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

5 0

2 years ago

Read 2 more answers