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krok68 [10]
3 years ago
5

Alisha bought some new clothes. She spent $110 on shoes and a total of $200. What percentage of her spending was on shoes?

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0
She spent 55 percent on her shoes
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-0.5

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Which measure is equivalent to 1.5 kg?
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Step-by-step explanation:

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A water molecule is made up of three Adams. 1/3 of the atoms are oxygen and the remaining Adams are hydrogen. If there are 114 w
motikmotik

The number of hydrogen atoms are 304

<em><u>Solution:</u></em>

Given that a water molecule is made up of three atoms

Number of atoms in water molecule = 3 atoms

1/3 of the atoms are oxygen and the remaining Adams are hydrogen

Number\ of\ oxygen\ atoms = \frac{1}{3}\\\\Number\ of\ hydrogen\ atoms = 3 - \frac{1}{3} = \frac{8}{3}

There are 114 water molecules

8/3 of water molecule is hydrogen

<em><u>Therefore, number of hydrogen atoms is given as:</u></em>

Number\ of\ hydrogen\ atoms = \frac{8}{3} \times 114\\\\Number\ of\ hydrogen\ atoms = 8 \times 38\\\\Number\ of\ hydrogen\ atoms = 304

Thus number of hydrogen atoms are 304

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3 years ago
(01.02 LC) There are (36)2.30 candies in a store. What is the total number of candies in the store? (5 points)
EleoNora [17]

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82.8

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Quadrilateral ABCD with vertices A(0, 6), B(-3, -6), C(-9, -6), and D(-12, -3): a) dilation with scale factor of 1/3 centered at
Oksanka [162]

a) The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively.

b) The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively.

<h3>How to perform transformations with points</h3>

a) A dillation centered at the origin is defined by following operation:

P'(x,y) = k\cdot P(x,y) (1)

Where:

  • P(x,y) - Original point
  • P'(x,y) - Dilated point.

If we know that k = \frac{1}{3}, A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3), then the new points of the quadrilateral are:

A'(x,y) = \frac{1}{3}\cdot (0,6)

A'(x,y) = (0, 2)

B'(x,y) = \frac{1}{3} \cdot (-3,-6)

B'(x,y) = (-1, -2)

C'(x,y) = \frac{1}{3}\cdot (-9,-6)

C'(x,y) = \left(-3,-2\right)

D'(x,y) = \frac{1}{3}\cdot (-12,-3)

D'(x,y) = (-4, -1)

The points of the new quadrillateral are A'(x,y) = (0, 2), B'(x,y) = (-1, -2), C'(x,y) = \left(-3,-2\right) and D'(x,y) = (-4, -1), respectively. \blacksquare

b) A translation along a vector is defined by following operation:

P'(x,y) = P(x,y) +T(x,y) (2)

Where T(x,y) is the transformation vector.

If we know that T(x,y) = (-5,-1), A(x,y) = (0,6), B(x,y) = (-3,-6), C(x,y) = (-9, -6) and D(x,y) = (-12, -3),

A'(x,y) = (0,6) + (-5, -1)

A'(x,y) = (-5, 5)

B'(x,y) = (-3, -6) + (-5, -1)

B'(x,y) = (-8,-7)

C'(x,y) = (-9, -6) + (-5, -1)

C'(x,y) = (-13, -7)

D'(x,y) = (-12,-3)+(-5,-1)

D'(x,y) = (-17, -4)

The points of the new quadrillateral are A'(x,y) = (-5, 5), B'(x,y) = (-8,-7), C'(x,y) = (-13, -7) and D'(x,y) = (-17, -4), respectively. \blacksquare

To learn more on transformation rules, we kindly invite to check this verified question: brainly.com/question/4801277

7 0
3 years ago
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