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miss Akunina [59]
3 years ago
8

how do I Translate the following verbal statement into an algebraic equation and then solve: Krystal bought a nightstand on sale

for $170, which was one-fourth of the original price. What was the original price of the nightstand
Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0

Answer:the original price is $680

Step-by-step explanation:

1/4(x)=170

4×1/4(x)=4×170

x=$680

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Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.<br> r = 9 sin 7θ
boyakko [2]

Answer:

The given function symmetric about the y-axis.

Step-by-step explanation:

The given function is

r=9\sin 7\theta                .... (1)

1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point  (r,-θ ) or (-r, π - θ ) also lies on the graph.

2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r,π - θ ) or (-r, -θ ) also lies on the graph.

3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.

Put (r, -θ ) in the given function.

r=9\sin 7(-\theta)=-9\sin 7\theta=-r\neq r

Therefore it is not symmetric about x-axis.

Put (-r, -θ ) in the given function.

-r=9\sin 7(-\theta)=-9\sin 7\theta=-r

Therefore it is symmetric about y-axis.

Put (-r,θ ) in the given function.

-r=9\sin 7(\theta)=r\neq -r

Therefore it is not symmetric about the origin.

3 0
3 years ago
Out of 100 seventh and eighth grade CAVA students there were 35 students that chose Music as their elective course and the rest
frutty [35]

Answer:

                <u>| </u><u>Music  |  World Language  |  Total </u><u> </u>

<u>8th grade</u><u> |    30     |              35              |     65   </u>

<u>7th grade</u><u> |      5      |             30              |     35   </u>

Total        |    35      |              65              |   100

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Lapatulllka [165]

Answer:

c and e

Step-by-step explanation:

3 0
3 years ago
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hichkok12 [17]
Area of a triangle can be found using the equation base x height / 2 

(5)(6)/2 = 30/2 = 15

The area of the triangle is 15mm
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3 years ago
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