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zysi [14]
3 years ago
9

The equation - 21 = -15 is solved in several steps below. 2 For each step, choose the reason that best justifies it.

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

3.  Simplifying

4 multiplication property of equality.

5. simplifying

Step-by-step explanation:

y/2 -21+21 = -15+21  

To get to the next step  we add -21+21 on the left and -15+21 on the right

We are simplifying on each side

Then we multiply by 2 on each side for the next step

We use the multiplication property of equality.

Finally we simplify in the last step

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I NEED HELPPP PLEASE
Tanzania [10]

Answer:

252 cubic cm

Step-by-step explanation:

V = (l x w x h ) / 3

V = (6 cm x 9 cm x 14cm) / 3

V = 756/3 =  252 cubic cm

8 0
3 years ago
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An account with an initial balance of $4,000.00 and a 3% interest rate has a balance of $4,121.66 at the end of one year. What i
Gekata [30.6K]

The effective annual yield is 3.04%

What is effective annual yield?

Effective annual yield is the rate of return that considers the frequency of compounding, in other words, the number of times in a year that interest on the balance is compounded.

The easiest way to determine the effective annual yield in this case is to compare the end of the year balance with the initial balance at the start of the year

effective annual yield=(ending balance/initial balance)-1

ending balance=$4,121.66

initial balance=$4000

effective annual yield=($4,121.66/$4000)-1

effective annual yield=3.04%

Another way to determine the effective annual yield is use the below formula which considers that interest rate is 3% compounded monthly, in other words, n, the frequency of compounding is 12

EAR=(1+r/n)^n-1

r=3%

n=12

EAR=(1+3%/12)^12-1

EAR=3.04%

Find out more on effective annual yield on :brainly.com/question/3125221

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6 0
2 years ago
Drinks at the fair cost 2.50. Use and equation to represent the relationship between the number is drinks bought and the cost
never [62]

Answer: 2.50x


Step-by-step explanation: The variable x refers to how many drinks are bought if you buy 5 drinks you plug in 5 to multiply by 2.50. I hope this helps! :D


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3 years ago
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Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each ballo
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7 0
3 years ago
Which expression represents the volume, in cubic units, of the composite figure?
Kipish [7]

The missing figure is attached

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28) ⇒ 1st answer

Step-by-step explanation:

The figure consists of

  • Two hemispheres
  • A cylinder

The volume of the hemisphere = \frac{2}{3}\pi r^{3} , where r is its radius

The volume of the cylinder = πr²h, where r is its radius and h is its height

∵ The diameter of the hemisphere s and the cylinder is 20 units

∵ The radius = \frac{1}{2} diameter

∴ The radius = \frac{1}{2} × 20 = 10 units

∵ The volume of a hemisphere = \frac{2}{3} πr³

∵ r = 10

- Substitute r by 10 in the rule

∴ The volume of a hemisphere = \frac{2}{3} π(10)³

∵ The volume of the cylinder = πr²h

∵ h = 28 and r = 10

- Substitute h by 28 and r by 10 in the rule

∴ The volume of the cylinder = π(10)²(28)

∵ The volume of the figure = 2(volume of a hemisphere) +

   volume of the cylinder

∴ The volume of the figure = 2( \frac{2}{3} )π(10)³ + π(10)²(28)

∵ 2 × \frac{2}{3} = \frac{4}{3}

∴ The volume of the figure = \frac{4}{3} π(10)³ + π(10)²(28)

The expression represents the volume in cubic units of the composite figure is (Four-third)π(10)³ + π(10)²(28)

Learn more:

You can learn more about the volume of figures in brainly.com/question/12497249

#LearnwithBrainly

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4 years ago
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