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Mrrafil [7]
3 years ago
10

Grace had $51 when she browsed an on-line store, which sells a pair of green earrings for $9.00 each plus a one-time $6.00 shipp

ing charge. How many pairs of green earrings did Grace purchase? Solve the equation for the situation.
Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

5 Green earrings

Step-by-step explanation:

Given that:

Total amount held = $51

Cost per pair of green earrings = $9

One time shipping fee = $6

How many pairs of green earrings did grace purchase?

Let the number of green earrings purchased = g

Then,

$9*g + $6 = $51

$9g + $6 = $51

$9g = $51 - $6

$9g = $45

g = $45 / $9

g = 5

Hence, the number of green earrings purchased = 5

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Find the area of each sector shown (the shaded section)
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Answer:

The area of the sector (shaded section) is 29.51 m^{2}.

Step-by-step explanation:

Area of a sector = (θ ÷ 360) \pir^{2}

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = \frac{diameter}{2}

 = \frac{26}{2} = 13 m

θ = 360 - (180 + 160)

  = 360 - 340

  = 20^{o}

Thus,

area of the given sector = \frac{20}{360} x \frac{22}{7} x (13)^{2}

                                        = \frac{20}{360} x x \frac{22}{7} x 169

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The area of the sector (shaded section) is 29.51 m^{2}.

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3 years ago
a bag contains 8 red marbles, 4 blue marbles, and 5 white marbles. Tom picks two marbles at random, without replacement. What is
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11.76% rounded to place value

Step-by-step explanation:

Add all values to get 17. 2 / 17 = 0.117647......  11.76% chance

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3 years ago
A radio tower is located 300 feet from a building. From a window in the building, a person determines that the angle of elevatio
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Answer:

The tower is approximately 381 feet high.

Step-by-step explanation:

Refer to the sketch attached. The height of the tower can be found in two parts:

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Each part can be seen as a leg of a right triangle. The other leg is the distance between the building and the tower and is 300-feet long. The angle opposite to the leg is given.

  • The length of the upper part is 300\cdot \sin{42^{\circ}} feet.
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The height of the tower is the sum of the two parts:

300\cdot \sin{42^{\circ}} + 300\cdot \sin{37^{\circ}} = 300(\sin{42^{\circ}}+\sin{37^{\circ}}) = 381 feet.

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Aiden wants to find the mass of a bowling ball. Which unit should he use?
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Simplify.
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