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Svetlanka [38]
3 years ago
10

Shona is buying a rug for her room. Store A has the rug for $45 with a 10% discount. Store B has the same rug for $46 and is off

ering a $10 rebate. The sales tax is 6% on either purchase. If Shona only has $40 to spend, which store will she purchase the rug from, and how much will she have left over?
Mathematics
1 answer:
Rudik [331]3 years ago
8 0
Store A :
0.90(45) = 40.50......40.50 + .06(40.50) = 40.50 + 2.43 = 42.93

store B :
46 - 10 = 36......36 * .06(36) = 36 + 2.16 = 38.16

she would have to purchase the rug from store B...because she doesn't have enough money to purchase it from store A. She would have (40 - 38.16) = $ 1.84 in change.

I find this question to be a little misleading....because on a rebate, u dont get the discount right away....u first pay full price, and then later u get the discount mailed back to you. So actually, she wouldn't have enough money at either store.
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What is the value of p-12=14
Trava [24]

Answer:

the value of p? its 26 because 26-12=14

Step-by-step explanation:

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3 years ago
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A rectangular field has the area equal to that of a square field of side 60m.if the breadth of the rectangular field is 32m, fin
V125BC [204]

<u>Given</u> -

  • Area of rectangular field = Area of square field
  • side of square = 60m
  • breadth of the rectangular field = 32m

<u>To find</u> -

  • length of the rectangular field

<u>Solution</u> -

Area of square = side × side = (60 × 60)m² =

Area of square =3600m²

Hence,

Area of rectangular field = Area of square field = 3600m²

Area of rectangular field = l × b = 3600m²

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=> l = \sf{\frac{3600}{32}\:m}

=> l = 112.5m

so, the length = 112.5m

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3 years ago
Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16
HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image  PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

|A'B'|=k\times |AB|   .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}

PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}

It is noticed that the size of side in preimage is 2\sqrt{13} and the size of same side in image is \sqrt{13}.

Using equation (1), we get

\sqrt{13}=k \times 2\sqrt{13}

k=\frac{1}{2}

k=0.5

Hence, the value of scale factor is 0.5.

7 0
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110 just multiply 5 by 22


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