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sertanlavr [38]
3 years ago
13

Jackie has $32.50 to buy a new pair of jeans. The pair she likes costs $38 but is marked “20% off ticketed price.” The sales tax

rate is 5%. Does Jackie have enough money to buy the jeans?
Mathematics
1 answer:
ohaa [14]3 years ago
4 0
Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.
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Point Y is in the interior of ∠XWZ. Given that (ray) WX and (ray) WZ are opposite rays and m∠XWY = 4(m∠YWZ), what is m∠YWZ?
yuradex [85]

Answer:

m∠YWZ = 36°

Step-by-step explanation:

* Lets explain how to solve the problem

- Point Y is in the interior of ∠XWZ

- Rays WX and WZ sre opposite rays

- That means rays WX and WZ formed a straight angle

- m∠XWY = 4(m∠YWZ)

- We need to find the m∠YWZ

* Lets solve the problem

∵ Rays WX and WZ are opposite rays

∴ ∠XWZ is a straight angle

∵ The measure of the straight angle is 180°

∴ m∠XWZ = 180°

- Point Y is in the interior of ∠XWZ

∴ m∠XWZ = m∠XWY + m∠YWZ

∵ m∠XWY = 180°

∴ m∠XWY + m∠YWZ = 180° ⇒ (1)

∵ m∠XWY = 4(m∠YWZ) ⇒ (2)

- Substitute equation (2) in equation (1)

- That means replace m∠XWY by 4(m∠YWZ)

∴ 4(m∠YWZ) + m∠YWZ = 180

∴ 5(m∠YWZ) = 180

- Divide both sides by 5

∴ m∠YWZ = 36°

6 0
3 years ago
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Rom4ik [11]
Can be reduced to 1/3
8 0
3 years ago
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ki77a [65]

Answer:

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Step-by-step explanation:

5 0
3 years ago
5x + 2 + 3x + 5 = ?
Mama L [17]

Answer: 8x + 7 = ?

Step-by-step explanation: There isn't anything on the other side so all I can do is simplify the left.

8 0
3 years ago
The radius of a cylindrical vessel is 7 cm and height is 1400 m . Find the cost of painting its inner curved surface area at the
Olegator [25]

Answer:

Cost = 616000 DHS per square centimetre.

Step-by-step explanation:

curved surface of a cylinder = 2\pirh

r = 7 cm

h = 1400 m = 140000 cm

The outer curved surface area of the cylinder = inner curved surface area of the cylinder

The inner curved surface of the cylinder = 2\pirh

                                      = 2 x \frac{22}{7} x 7 x 140000

                                      = 2 x 22 x 1 x 140000

                                      = 6160000

The inner curved surface of the cylinder is 6160000 square centimetre.

But, the cost of painting is at the rate of 10 DHS per square centimetre.

The inner curved surface of the cylinder = 6.16 x 10^{6} square centimetre.

cost of painting the inner curved surface area = \frac{6.16*10^{6} }{10}

                                                                       = 616000 DHS per square centimetre

The cost of painting the inner surface is 616000 DHS per square centimetre.

6 0
3 years ago
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