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galina1969 [7]
3 years ago
14

Simplify the expression 7g+ 4p - 3g - 9p​

Mathematics
2 answers:
Assoli18 [71]3 years ago
4 0

Step-by-step explanation:

7g+4p-3g-9p

7g-3g+4p-9p

g(7-3)+p(4-9)

natita [175]3 years ago
3 0
The answer is 11g+-6
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A carousel horse travels on a circular path with a radius of 15 ft. How many feet does the horse travel over an angle of 2π3 rad
aleksandr82 [10.1K]

Answer:

The horse travels 31 feet over an angle of \frac{2\pi }{3} radians

Step-by-step explanation:

  • The formula of the length of an arc is L = \frac{x}{360} × 2πr, where x is the central angle subtended by this arc and r is the radius of the circle
  • To change the angle from radian measure to degree measure multiply it by \frac{180}{\pi }

∵ A carousel horse travels on a circular path

- That means the distance that the horse travels is the length

   of an arc of the circular path

∵ The radius of the circular path is 15 feet

∴ r = 15 ft

∵ The horse travel over an angle of \frac{2\pi }{3} radians

- Let us change it to degree by multiply it by \frac{180}{\pi }

∵  \frac{2\pi }{3} × \frac{180}{\pi } = \frac{360}{3} = 120°

- use the formula above to find the distance

∵ d = \frac{x}{360} × 2πr

∵ x = 120°

∴ d = \frac{120}{360} × 2π × 15

∴ d = 10π

∴ d = 31.41592654 feet

- Round it to the nearest foot

∴ d = 31 feet

The horse travels 31 feet over an angle of \frac{2\pi }{3} radians

4 0
4 years ago
Sarah invested $800 in an account paying an interest rate of 3.5% compounded quarterly. Assuming no deposits or withdrawals are
Korolek [52]

Answer:

$ 1,057.22

Step-by-step explanation:

A = $ 1,057.22

A = P + I where

P (principal) = $ 800.00

I (interest) = $ 257.22

5 0
3 years ago
Which is the best buy?
sesenic [268]
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle

11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle

9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle

16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle

*the best buy would be to get 16 bottles for $35.68*




10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap

16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap

13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap

12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap

*the best buy would be to get 13 bars of soap for $29.51*

hope this helps :)



















8 0
3 years ago
I need help please ?!!!!
IRISSAK [1]

Answer:

its A you have the right one chosen

Step-by-step explanation:

7 0
3 years ago
Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?
torisob [31]
A line that has a 0 slope is a horizontal line.....it is represented by y = a number.....so a line with a zero slope WILL touch the y axis.....it will touch the y axis at y = 1

just so u know...it is a vertical line that does not touch the y axis

so ur answer is y = 1.....this line has no slope but it touches the y axis
3 0
3 years ago
Read 2 more answers
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