Select the correct answer.

An equation that sets two fractions equal to each other is called a ____.

Shkiper50 [21]

An equation that sets two fractions equal to each other is called a proportion. A proportion is a name we give to a statement that two ratios are equal. When two ratios are equal, then the cross products of the ratios are equal. Hope this helps.

3 0

3 years ago

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HELPPP PLEASE!!! I REALLY NEED HELP PLEASE EXPLAIN UR ANSWER ITS DUE SOONNN

Gemiola [76]

Answer:

C

Step-by-step explanation:

6 0

3 years ago

Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

3 years ago

The perimeter of a rectangle is 64 units. Can the length X of a rectangle be 20 units when it's width y is 11 units

Blababa [14]

Nope. Perimeter = sum of all sides

P = 20 + 11 + 20 + 11 = 62 and not 64

So, it is not possible.

4 0

3 years ago

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

dusya [7]

By definition, the volume of a cone is given by:
 $V = (1/3)*( \pi)*(r^2)*(h)
$
 Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
 $r = d / 2 
$
 Where,
d: diameter of the circular base.
Substituting values we have:
 $r = 6/2 

r = 3 cm$ 
Then, the volume will be:
 $V = (1/3) * (3.14) * (3 ^ 2) * (10) 

V = 94.2 cm ^ 3$ 
Answer:
The volume of the cone is given by:
 $V = 94.2 cm ^ 3$

4 0

4 years ago

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