Round $56.987 to the nearest cent

Answers

Answer 1

Answer: $56.99 because 7 is bigger tan 5

Answer 2

Answer:
To round to the nearest cent is$56.99. Because the .987 you have to round the 7 is over 5 so you change the 8 to a 9.

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What is the sum of the first five terms of a geometric series with a1 = 10 and r = 1/5? Express your answer as an improper fraction in lowest terms without using spaces.

Answers

Using the formula for the sum,
  Sn = a₀×(rⁿ -1)/(r -1)
you have
  S₅ = 10×((1/5)⁵ -1)/(1/5 -1)
  = 10×(-3124/3125)/(-4/5)
  = 10×781/625

  S₅ = 1562/125

_____
Or, you can add up the terms
  10 + 2 + 2/5 + 2/25 + 2/125 = (1250 +250 +50 +10 +2)/125
  = 1562/125

The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the volume of the larger cylinder.

Answers

The volume of the larger cylinder is 250Pi.

We have given that,

The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters.

We have to determine the volume of the larger cylinder.

What is the formula of the cylinder?

The formula to calculate the volume of a cylinder is given by the product of base area and its height.

5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)

54x4.6396=250

250 x pi = 250Pi.

To learn more about the cylinder visit:

brainly.com/question/76387

#SPJ2

5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)
54x4.6396=250
250 x pi = 250Pi.

A rectangle is 2.5 times as long as it is wide. Find the dimensions of the rectangle if it is perimeter is 56 cm.I need a help with this question plz and what are the steps to find the right answer!!

Answers

perimeter of a rectangle = 2 (length + breadth)
or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm

At basketball practice,charle made 52 baskets out of 80 what percent of the baskets did he make

Answers

$(52)/(80) = (13)/(20)$
$(13)/(20) * 100$

Solve photo question. Mathematics

Answers

We can substitute each and check if it gives us the answer 13

1st one:
4(1)+3(6) = 13
4 + 18 = 13
22 ≠ 13
It does not satisfy the equation!

therefore, The last one is the answer after checking them all.

4(4) + 3(-1) = 13
16 - 3 = 13
13 = 13

(4, -1)

(4,-1). 4x+3y=13. You do 4(4)+3(-1)=13. hope that helps.

A balloon lifts off the ground and reaches a height of 200m. The total mass of the balloon is 1000 kg. What is the GPE of the balloon?

Answers

Answer:

1,960,000Joules

Step-by-step explanation:

Gravitational Potential Energy is expressed as;

GPE = mgh

m is the mass

g is the acceleration due to gravity

h is the height

Given

m = 1000kg

h = 200m

g = 9.8m/s

Substitute;

GPE = 1000 * 9.8 * 200

GPE = 9800 * 200

GPE = 1,960,000Joules

Hence the GPE of the balloon is 1,960,000Joules

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