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Vedmedyk [2.9K]
3 years ago
7

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24

Mathematics
1 answer:
jonny [76]3 years ago
6 0

Answer:

120

Step-by-step explanation:

20 * 5 = 100 so we multiply 24 by 5 and that equals 120

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Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's rate in mil
BabaBlast [244]
We know that 
3600 seconds = 1 hour
Then
3400 seconds = 3400/3600
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5280 feet = 1 mile
Then
63360 feet = 63360/5280 mile
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So
Distance covered by Nina in 17/18 hours = 12 mile
Then
Distance covered by Nina in 1 hour = 12/(17/18) miles
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Speed of Sophia is 10 miles per hour. So Nina is the girl that rides at a faster speed.
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3 years ago
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Determine the y-intercept of 5x - 6y =10 A) -60 B) - 5 3 C) 2 D) 50
Snezhnost [94]
The y-intercept would be when x=0 so in this equation it would become:
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-6y = 10
y = 10 / -6
y = -5 / 3
7 0
3 years ago
Explain how to find the coordinates of the focus of a parabola with vertex (0,0) and the directrix y=5
Ghella [55]
Keep in mind that, the directrix is "p" distance units away from the vertex, and the focus point is also "p" distance  units from the vertex but in the opposite direction, so in short the vertex is half-way between both of them.

in this case the vertex is at the origin, and the directrix 5 units above it, so that means the parabola is vertical and opening downwards, like the one in the picture below, and the focus point is 5 units the other way.

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3 years ago
Use the quadrant system to find the area of the polygon
AfilCa [17]

Answer:

The area of the polygon is 64 units²

Step-by-step explanation:

* Lets explain how to solve the problem

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- To find its area by easy way split it into two trapezoid by a horizontal

  line y = 1

- The vertices of trapezoid (1) are (-5 , 1) , (4 , 1) , (-5 , 5) , (0 , 5)

- The vertices of one of the parallel bases are (-5 , 1) , (4 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , 5) , (0 , 5)

- The length of this base = 0 - (-5) = 0 + 5 = 5 units

- The length of its height = 5 - 1 = 4 units

- The area of the trapezoid = 1/2 (b1 + b2) × h

∴ Area of trapezoid 1 = 1/2 (9 + 5) × 4 = 28 units²

- The vertices of trapezoid (2) are (4 , 1) , (-5 , 1) , (-5 , -5) , (-2 , -5)

- The vertices of one of the parallel bases are (4 , 1) , (-5 , 1)

- The length of this base = 4 - (-5) = 4 + 5 = 9 units

- The vertices of the other parallel bases are (-5 , -5) , (-2 , -5)

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- The length of its height = 1 - (-5) = 1 + 5 = 6 units

∴ Area of trapezoid 1 = 1/2 (9 + 3) × 6 = 36 units²

∵ Area of the polygon = Area trapezoid (1) + Area trapezoid (2)

∵ Area trapezoid (1) = 28 units²

∵ Area trapezoid (2) = 36 units²

∴ Area of polygon = 28 + 36 = 64 units²

∴ The area of the polygon is 64 units²

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The answer is
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