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igomit [66]
2 years ago
8

Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the exp

ression c + 0.09c, where c is the pre-tax price of the item.
Use the expression to find the total cost of an item that has a pre-tax price of $84.00.
Mathematics
2 answers:
Dmitry_Shevchenko [17]2 years ago
7 0
Answer is $91.56
c + 0.09c
84 + 0.09(84) 0.09x84= 7.56
84 + 7.56 = $91.56
uysha [10]2 years ago
3 0

Answer:

91.56

Step-by-step explanation:

84 x 0.09=7.56

7.56+84=91.56

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City R has a temperature of −2 °F. City S has a temperature of −6 °F. Use the number line shown to answer the questions: Number
marta [7]

Answer:

part c city r is warmer

Step-by-step explanation:

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2 years ago
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3 years ago
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What is the area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches
earnstyle [38]

The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²

<h3>How to calculate the area of a regular hexagon</h3>

The formula is given thus;

Area of hexagon = (1/2) × a × P

where a = the length of the apothem

P = perimeter of the hexagon

Given a = 18. 5 inches

Note that Perimeter, p = 6a with 'a' as side

p = 6 × 21 = 126 inches

Substitute values into the formula

Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²

Thus, the area of the regular hexagon is 1, 165. 5 In²

Learn more about the area of a hexagon here:

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3 0
2 years ago
You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you
n200080 [17]

Answer:

Number of rocks and fossils collected by you is <u>1 and  24</u> respectively

Number of rocks and fossils collected by your friend is <u>3 and 12 </u>respectively

Step-by-step explanation:

Let  the number of Rocks you collect be x

Let  the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting  y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

<u><em>Hope this help you! :)</em></u>

5 0
2 years ago
An oval track is made by erecting semicircles on each end of a 60m by 120m rectangle. Find the length of the track and the area
vodomira [7]
Refer to the figure shown below.

Because the question states that the semi circles are at the ends of the rectangle, each semicircle has a radius of 30 m.

The circumference of the oval is
2π(30) + 2*120 = 60π + 240 m = 428.5 m

The area of the oval is 
π(30²) + 60*120 = 900π + 7200 m² = 1.0027 x 10⁴ m²

Note:
If the semi circles are placed on the 120-m sides of the rectangle, then similar calculations yield:
Circumference = 120π + 120 m = 497 m
Area = 3600π + 7200 m² = 1.851 x 10⁴ m²

Answer:
If the semi circles are placed on the 60-m sides of the rectangle, then
Circumference = 60π + 240 m, or 428.5 m
Area = 900π + 7200 m², or 1.0027 x 10⁴ m²

if the semi circles are placed on the 120-m sides of the rectangle, then
Circumference = 120π + 120 m, or 497 m
Area = 3600π + 7500 m², or 1.851 x 10⁴ m²


3 0
3 years ago
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