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2 years ago

Convert 28 cubic inches into cubic centimeters.

Mathematics

1 answer:

loris [4]2 years ago

6 0

Answer:

458.838

Step-by-step explanation:

28 x 16.387 = 458.838

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What is 22% reduced as a fraction ??

Svet_ta [14]

Answer:

11/50

Step-by-step explanation:

22% is 22/100

So, divide 22/100 by 2 to get 11/50, which cannot be simplified any further.

3 0

3 years ago

The equation $a^7xy-a^6y-a^5x=a^4(b^4-1)$ is equivalent to the equation $(a^mx-a^n)(a^py-a^2)=a^4b^4$ for some integers $m$, $n$

Ksivusya [100]

Let simplify the equations $a^7xy-a^6y-a^5x=a^4(b^4-1)$ and $(a^mx-a^n)(a^py-a^2)=a^4b^4$ :

1) $a^7xy-a^6y-a^5x+a^4=a^4b^4$

and

2) $a^{m+p}xy-a^{n+p}y-a^{m+2}x+a^{n+2}=a^4b^4$ .

Equate the coefficients:

 $xy: m+p=7 \\ y: n+p=6 \\ x: m+2=5 \\ 1: n+2=4$ .
Then $n=2 \\ p=4 \\ m=3$ and mnp=24.

3 0

3 years ago

In the diagram, point D divides line segment AB in the ratio of 5:3. If line segment AC is vertical and line segment CD is horiz

BabaBlast [244]

Answer:

C (2, -1)

Step-by-step explanation:

C has the same x coordinate as A = 2

that eliminates A and B.

and the y value of C has to be closer to the y value of B than to the y value of A (due to the 5:3 ratio).

so, without spending unnecessary effort on actual calculation, we can directly derive the correct answer to be C.

but to show in numbers, the "coordinate triangle" of the difference between D and B is a similar triangle to ACD. and so, the ratio of one side pair applies then to all other sides too. including the individual coordinate differences.

so, also the y difference of A to D relates to the y difference between D and B in the same ratio of 5:3 of the overall y difference of A to B.

the y difference A to B is 2 - -6 = 8

the 5/3 split of 8 units is actually 5 and 3.

so, the y coordinate of D is -6 + 5 = -1

and C must have the same y coordinate.

therefore, it is proven that answer C (2, -1) is the right answer.

4 0

3 years ago

Given the parabola whose equation is , find the focus and determine if the parabola opens up or down.

ziro4ka [17]

The equation of a parabola is:
$y = ax {}^{2} + bx + c$
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
$( - \frac{b}{2a} \: \: \frac{1 - b {}^{2} + 4ac}{4a} )$

4 0

2 years ago

Ashlyn and her friends are making gingerbread houses. They need to divide 28 packages of gumdrops between 7 friends. There are 2

leonid [27]

Answer:

100 gumdrops per person

Step-by-step explanation:

We know that there are 28 packages and each one has 25. So just multiply 28 by 25 and you get 700 gumdrops in total. Finally because there are seven friends in total you divide 700 by 7 and get 100 per person.

4 0

3 years ago