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Brilliant_brown [7]
3 years ago
14

Isaiah puts a 10 gram weight on a pan balance.how many 1-gram weights does he need to balance the scale

Mathematics
1 answer:
Vikki [24]3 years ago
6 0
<span>Isaiah puts a 10 gram weight on a pan balance. To balance the scale, he needs to put 10 pieces of 1 gram weights which will be equivalent to 10 grams of weight. Hope this answers the question. Have a nice day.</span>
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Evelyn took a job that paid $100 the first week. She was guaranteed a raise of 2% each week. How much money will she make in all
Zanzabum
This is a growth exponential equation. 
It can be solved 2 ways, but one of them is long and cumbersome and not worth the effort. You could take 2% of the base number and keep doing it 8 times. 

The other way is to realize that 100$ + 2% of 100 dollars can be written as 2% = 2/100 = 0.02 and that can be written as
100( 1 + 0.02 ) = 100(1.02) Now if you want this to be raised 8 times, it will look like this
y = 100(1.02)^(n - 1) for any number of weeks
y(8) = 100(1.02)^7 = 114.87
So at week 1 she has 100 dollars and at week 8 she has 114.87 dollars.

Comment
Realize that if her boss does not want to give her compounded interest that she could still make
Ln = L_{8} = 100 + (n - 1)*0.02*100
L_{8} = 100 + 7*0.02*100 = 100 + 14. = 114
By compounding she makes a whole 0.87$ more. 


6 0
2 years ago
Judy has 15 books in her library. She bought some books at a thrift store on Saturday. She now has 85 books in her library. How
netineya [11]

She bought 70 books at the thrift store.

<u>15+x=85</u>

6 0
2 years ago
Read 2 more answers
A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
2 years ago
The whole sale cost of bicycle is $75. There is a mark up of 55%. What is the new sale price of the bike
blsea [12.9K]

Answer:

$116.25

Step-by-step explanation:

10% = $7.50

5% = $3.75

7.50 x 5 = 37.50

37.50 + 3.75 = $41.25

$75 + $41.25 = $116.25

Hope this helps !

8 0
2 years ago
A2 − 6) and (a2 + 4) are the factors of
I am Lyosha [343]

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

<h3>What is a polynomial?</h3>

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Example: x²+3x+5 is a polynomial.

The polynomial whose factors are (a²-6) and (a²+4) is,

P(x) =  (a²-6)(a²+4)

      = a⁴ + 4a² - 6a² - 24

      = a⁴ - 2a² - 24

Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.

Learn more about Polynomials:

brainly.com/question/27343162

#SPJ1

3 0
1 year ago
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