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levacccp [35]
2 years ago
9

the weight of a bucket is 33/2 kg. if 1/4 of the bucket contains water weighing 21/4 kg , determine the weight of empty bucket

Mathematics
1 answer:
Sauron [17]2 years ago
7 0

Answer:

15.733kg

Step-by-step explanation:

33.2 - 21.4 = 11.8

3/4 of the bucket empty is 11.8kg.

11.8 divided by 3 is 3.933. 3.933 x 4 is 15.733

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If x and y are two nonnegative numbers and the sum of twice the first ( x ) and three times the second ( y ) is 60, find x so th
stepan [7]
2x+3y=60 solve for x...

x=(60-3y)/2

p=xy^3, using x from above:

p=y^3(60-3y)/2

p=(60y^3-3y^4)/2

dp/dy=(180y^2-12y^3)/2

dp/dy=90y^2-6y^2

dp/dy=0 when:

90y^2-6y^3=0

6y^2(15-y)=0, we know y>0 so

y=15, since x=(60-3y)/2

x=7.5

(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
4 0
2 years ago
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Why aren't the numbers 38 and 40 relatively prime​
sergey [27]

Answer:

may be this is helpful!

5 0
2 years ago
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Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
2 years ago
Guess the number pleaseeee​
MaRussiya [10]
I might be wrong but 9

9*2=18
18+7= 25
25 square root = 5

Answer is 9
7 0
2 years ago
Simplify the expression below. (2n/6n+4)(3n+2/3n-2)
andrezito [222]

Answer:

\frac{n}{3n-2}

Step-by-step explanation:

Given the expression:

\frac{2n}{(6n+4)} \cdot \frac{3n+2}{3n-2}

Using the distributive property: a \cdot (b+c) =a\cdot b+a\cdot c

\frac{2n}{2(3n+2)} \cdot \frac{3n+2}{3n-2}

Simplify:

\frac{2n}{2} \cdot \frac{1}{3n-2}

Simplify:

\frac{n}{3n-2}

Therefore, the simplified given expression is, \frac{n}{3n-2}

7 0
3 years ago
Read 2 more answers
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