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Papessa [141]
3 years ago
15

*^%Brainliest 15 pounds Question 5 (2 points)

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

0

Step-by-step explanation:

Separate into two parts

\frac{4xy^{3} }{2xy^{2} }  +  \frac{8x^{2} {y}^{5} }{2x {y}^{2} }

Simplify:

This is for the first fraction

\frac{4x {y}^{3} }{2x {y}^{2} }  = (4 \div 2)(x \div x)( {y}^{3}  \div  {y}^{2} )

2(1)( {y}^{3 - 2} )

2{y}

Now for the second fraction:

\frac{8 {x}^{2} {y}^{3}  }{2x {y}^{2} }  = ( 8 \div 2)( {x}^{2}  \div x)( {y}^{5}   \div   {y}^{2} )

4( {x}^{2 - 1} )( {y}^{5 - 2} )

4x {y}^{3}

Add both parts together

2y + 4x {y}^{3}

To turn this into the said formula, that would become:

2 {x}^{0}  {y}^{1}  + 4 {x}^{1}  {y}^{3}

Where:

a=0

b=1

c=1

d=3

Any value with an exponent 0 except zero will be equal to 1

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What is 15 liters increased by 60%?​
Molodets [167]

Answer:

24

Step-by-step explanation:

60% is equal to 3/5. So, we can divide 15 by 5 to get 3 and multiply 3 by 3 to get 9. Then add 9 to the 15 to get 24, Alternatively you can multiply 15 by 1.6

6 0
3 years ago
A rectangle or piece of paper has a width is 3 inches less than its link it is cut in half along a diagonal to create two congru
kolezko [41]

The length and width of the rectangle is 11 in and 8 in respectively.

Step-by-step explanation:

Given,

The width of a rectangle is 3 in less than the length.

The area of each congruent right angle triangle = 44 in²

To find the length and width of the rectangle.

Formula

The area of a triangle with b base and h as height = \frac{1}{2}bh

Now,

Let, the width = x and the length = x+3.

Here, for the triangle, width will be its base and length will be its height.

According to the problem,

\frac{1}{2}×(x+3)×x = 44

or, x^{2} +3x = 88

or,x^{2} +3x-88 = 0

or, x^{2}+(11-8)x-88 = 0

or, x^{2}+11x-8x-88 =0

or, x(x+11)-8(x+11) = 0

or, (x+11)(x-8) = 0

So, x = 8 ( x≠-11, the length or width could no be negative)

Hence,

Width = 8 in and length = 8+3 = 11 in

3 0
3 years ago
Find distance (4,7) (-4,-3)​
AURORKA [14]

∆x = (4--4)=8

∆y = (7--3)= 10

Step-by-step explanation:

distance is given by;

d² = (∆y)²+ (∆x)²

d = √((∆y)²+ (∆x)²)

d = √((4+4)² + (7+3)²)

d = √((8²) + (10²))

d = √(64+100)

d = √164

<em><u>d =12.806 units</u></em>

7 0
2 years ago
Whats the Prime Factorization of 28?
andrew-mc [135]

We have that the prime factorization is 28 = 2x2x7.

8 0
1 year ago
The ratio of two numbers is $2:3$. when 6 is subtracted from the smaller of the two numbers and 7 is added to the larger of the
patriot [66]

Answer:

  14

Step-by-step explanation:

Let the smaller and larger numbers be represented by S and L, respectively.

  S/L = 2/3 . . . . the original ratio of the numbers

  3S = 2L . . . . . multiply by 3L

__

  (S-6)/(L+7) = 2/7 . . . . the new ratio of the numbers

  7(S-6) = 2(L+7) . . . . . multiply by 7(L+7)

  7S -42 = 2L +14

Using the expression for 2L from the first ratio, we can substitute to get ...

  7S -42 = 3S +14 . . . . substitute 3S for 2L

  4S = 56 . . . . . . . . . . .add 42-3S

  S = 14 . . . . . . . . . . . . . divide by 4

The original smaller number was 14.

7 0
2 years ago
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