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3 years ago

12 out of 84 balloons Maggie prepared for her brother’s party were green. What part of all balloons was green?

Mathematics

1 answer:

netineya [11]3 years ago

6 0

Answer:

The part of all balloons green was, $\frac{1}{7}$

Step-by-step explanation:

As per the statement: 12 out of 84 balloons Maggie prepared for her brother’s party were green.

⇒ Total number of balloons = 84 and

Number of balloons were green = 12

we have to find what part of all balloons were green.

In a fraction,

the top number (i.e numerator) says how many part we have and
the bottom number (i.e denominator) says that how many equal parts, the whole is divided into.

The part of all balloons were green = $\frac{\text{Number of balloons were green}}{\text{Total number of balloons}}$

Substitute the given values we have;

The part of all balloons were green = $\frac{12}{84} =\frac{1}{7}$

Therefore, the part of all balloons green was, $\frac{1}{7}$

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Step-by-step explanation:

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3 years ago

A line has an equation of y = - 3x + 8. What is the y-intercept of the line? Please enter your answer as a coordinate (x, y). *

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Answer:

(0, 8).

Step-by-step explanation:

The y intercept occurs when = 0, so we have the equation:

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3 years ago

What is the value of the expression?

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Answer:

13/6

Step-by-step explanation:

1 Simplify \sqrt{8}

to 2\sqrt{2}2

\frac{2}{6\times 2\sqrt{2}}\sqrt{2}-(-\frac{18}{\sqrt{81}})

6×2

−(−

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2 Simplify 6\times 2\sqrt{2}6×2

to 12\sqrt{2}12

\frac{2}{12\sqrt{2}}\sqrt{2}-(-\frac{18}{\sqrt{81}})

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3 Since 9\times 9=819×9=81, the square root of 8181 is 99.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-\frac{18}{9})

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4 Simplify \frac{18}{9}

to 22.

\frac{2}{12\sqrt{2}}\sqrt{2}-(-2)

−(−2)

5 Rationalize the denominator: \frac{2}{12\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{2\sqrt{2}}{12\times 2}

⋅

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\frac{2\sqrt{2}}{12\times 2}\sqrt{2}-(-2)

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6 Simplify 12\times 212×2 to 2424.

\frac{2\sqrt{2}}{24}\sqrt{2}-(-2)

−(−2)

7 Simplify \frac{2\sqrt{2}}{24}

to \frac{\sqrt{2}}{12}

\frac{\sqrt{2}}{12}\sqrt{2}-(-2)

−(−2)

8 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}

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\frac{\sqrt{2}\sqrt{2}}{12}-(-2)

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9 Simplify \sqrt{2}\sqrt{2}

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\frac{\sqrt{4}}{12}-(-2)

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

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1 year ago

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

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