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padilas [110]
3 years ago
5

Solve for F ------- 2/3 + f = 1/5 A= 13/15 B= 7/15 C= - !3/15 D= - 7/15

Mathematics
2 answers:
nikdorinn [45]3 years ago
8 0

\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}

\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}

\\ \sf\longmapsto f=\dfrac{3-10}{15}

\\ \sf\longmapsto f=\dfrac{-7}{15}

Scilla [17]3 years ago
4 0

Answer:

D. -7/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

f+ 2/3-2/3= 1/5-2/3

Step 2: Subtract 2/3 from both sides.

f= -7/15

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marysya [2.9K]

The <em>correct answer</em> is:


6 balloons.


Explanation:


Let x represent the number of balloons purchased.


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We will call the function for Singing Balloons s(x):

s(x) = 1.95x+2


We want the amount for Clowns R Fun, c(x) to be less:

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1.25x+6 < 1.95x+2


Subtract 1.25x from each side:

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6 < 0.7x+2


Subtract 2 from each side:

6-2 < 0.7x+2-2

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Divide each side by 0.7:

4/0.7 < 0.7x/0.7

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She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.

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Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

Area = \frac{\theta}{360}\pi r^2

For the inner circle

r \to radius

The sector of the inner circle has the following area

A_1 = \frac{\theta}{360}\pi r^2

For the whole circle

R \to Radius

The sector of the outer sector has the following area

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So, the ratio of the outer sector to the inner sector is:

Ratio = A_2 : A_1

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Cancel out common factor

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Express as fraction

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