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Nata [24]
3 years ago
10

Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0
<h3>Answer: 6 dollars per kilogram</h3>

=====================================================

Explanation:

The mixed number 4 & 1/2 converts to the decimal form 4.5

The unit price is 27/(4.5) = 6 dollars per kilogram

------

If you wanted, you can think of it like this ratio

4.5 kg : 27 dollars

Dividing both parts of that ratio by 4.5 will lead to

1 kg : 6 dollars

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The correct answer is B.

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A. 2x^2 + 7x + 6
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Step-by-step explanation:

the 3 equation can not be factorised. Because they will result to fraction

7 0
3 years ago
Solve for b2 in A=1/2 h(b1+b2), if A=16, h=4, and b1=3
icang [17]

Answer:

b_{2} = 5

Step-by-step explanation:

Substitute the given values into the formula

16 = \frac{1}{2} × 4(3 + b_{2})

16 = 2(3 + b_{2}) ( divide both sides by 2 )

8 = 3 + b_{2} ( subtract 3 from both sides )

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4 0
3 years ago
A student throws a rock into the sky from the top of the Webster build- ing with an angle α = π 4 from the horizontal line and t
lord [1]

Answer:

  • r(0) = <0, 100> . . . . . . . .meters
  • r'(0) = <7.071, 7.071> . . . . meters per second

Step-by-step explanation:

<u>Initial Position</u>

The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...

  r(0) = <0, 100>

<u>Initial Velocity</u>

The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...

  r'(0) = <10·cos(π/4), 10·sin(π/4)>

  r'(0) ≈ <7.071, 7.071>

7 0
3 years ago
Anne is currently h years old. bill is currently 2h years old and Charles is currently eight years old. find an expression for e
Margarita [4]

Ann's age after h years is 2h

Bill's age after h years is 3h

Charles' age after h years is 8 + h

The sum of their ages after h years is 6h + 8

Step-by-step explanation:

The given is:

Anne is currently h years old

Bill is currently 2h years old

Charles is currently eight years old

We need to find an expression for each person’s age after h years and then find an expression for the sum of their ages after h years

∵ Ann is h years old now

∵ Her age after h years = her age now + h

∴ Her age after h years = h + h

∴ Her age after h years = 2h

Ann's age after h years is 2h

∵ Bill is 2h years old now

∵ His age after h years = his age now + h

∴ His age after h years = 2h + h

∴ His age after h years = 3h

Bill's age after h years is 3h

∵ Charles is 8 years old now

∵ His age after h years = his age now + h

∴ His age after h years = 8 + h

∴ His age after h years = 8 + h

Charles' age after h years is 8 + h

Add their ages after h years

∵ The sum of their ages after 8 years = 2h + 3h + 8 + h

- Add like terms

∴ The sum of their ages after 8 years = (2h + 3h + h ) + 8

∴ The sum of their ages after 8 years = 6h + b

The sum of their ages after h years is 6h + 8

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

7 0
3 years ago
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