The ratio of the side lengths of two regular hexagons is 3 to 7. If the area of the smaller hexagon is 18 square units, then the area of the larger hexagon is ________.

Answers

Answer 1
Answer: (side_1)/(side_2)=(3)/(7)\n\n(Area_1)/(Area_2)=\left((3)/(7)\right)^2=(9)/(49)\n\n(18)/(Area_2)=(9)/(49)\n\ncross\ multiply\n\n9Area_2=18\cdot49\n\nArea_2=(18\cdot49)/(9)\n\nArea_2=2\cdot49\n\nArea_2=98

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A bookmark is 9 centimeters tall and 2 centimeters wide what is its area

Answers

Answer:

length of book mark =9cm

breadth of bookmark=2cm

area of bookmark=length×breadth

=9cm×2cm

=18cm answer

Final answer:

The area of the bookmark is found by multiplying its length (9 cm) by its width (2 cm), giving a total of 18 square centimeters.

Explanation:

The area of a shape is calculated by multiplying the length by the width. In this case, the length of the bookmark is 9 centimeters and the width is 2 centimeters. So, the area of the bookmark will be 9 cm multiplied by 2 cm which equals to 18 square centimeters.

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Evaluate d/2 + c/3 for c = 6 and d = 10

a) 10
b) 16/5
c) 7
d) 6

Answers

d/2 + c/3

10/2 + 6/3

5+6/3

=5+2

=7



Which ondered pair is the solution to this system of equations? y=x+4 x+y=2 (1) (1,5) (2) (0,2) (3)(-1,3) (4)(-4,0)

Answers

Solve the following system:

{y = x + 4 | (equation 1)

y + x = 2 | (equation 2)

Express the system in standard form:

{-x + y = 4 | (equation 1)

x + y = 2 | (equation 2)

Add equation 1 to equation 2:

{-x + y = 4 | (equation 1)

0 x + 2 y = 6 | (equation 2)

Divide equation 2 by 2:

{-x + y = 4 | (equation 1)

0 x + y = 3 | (equation 2)

Subtract equation 2 from equation 1:

{-x + 0 y = 1 | (equation 1)

0 x + y = 3 | (equation 2)

Multiply equation 1 by -1:

{x + 0 y = -1 | (equation 1)

0 x + y = 3 | (equation 2)

Answer: x = -1 y = 3

Shalika bought a purse for $120. The tax rate is 9%

Answers

120.00 * 9% = 10.08 
tax is $10.08 

hope that helps!

sailfish are the fastest fish in the world they can swim 68 miles hour estimate how far sailfish can swim in 3 hours

Answers

68×3=204iles in 3 hour 204/3

Final answer:

A sailfish can swim a distance of 204 miles in 3 hours if it maintains its top speed of 68 miles per hour throughout.

Explanation:

In order to determine how far a sailfish can swim in 3 hours, we can use the speed given which is 68 miles per hour. This speed implies that the sailfish can swim 68 miles every one hour.

  • First step is to recognize the information. We know that the speed of the sailfish is 68 miles per hour and we are asked to find the distance it can cover in 3 hours.
  • Second step is to apply the formula for distance which is Speed times Time, in our case, 68 miles per hour times 3 hours.
  • Last step is to multiply 68 by 3, giving us a product of 204.

Therefore, it's reasonable to estimate that a sailfish can cover 204 miles in a span of 3 hours, assuming it maintains its top speed the entire time.

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Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a.

$10


b.

$12


c.

$14


d.

$20

Answers

We will find the rate of Greg and Josh earning money that is the amount of money they receive per unit time (hour)

 

Since the trip is in 3 weeks,

Number of hours Josh worked = 3 weeks * (5 hours/week) = 15 hours

Number of hours Greg worked = 3 weeks * (8 hours/week) = 24 hours

 

Josh’s rate = $480/15 hrs = $32/hr

Greg’s rate = $480/24 hrs = $20/hr

 

Therefore

Josh makes $12/hr more than Greg

Answer:

IT IS B

Step-by-step explanation: