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zhenek [66]
2 years ago
8

Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an

equilateral triangle with sides of 3.5 inches. If the height of the triangle is 4 inches, how much surface area is needed to be painted?
Urgent PLS
Mathematics
1 answer:
qwelly [4]2 years ago
4 0

Answer:

Step-by-step explanation:

2.5 surface area

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Three times the sum of a number and five
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Answer:

Step-by-step explanation:

3(x+5)

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3x+5

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2 years ago
Change equation to slope intercept form 2x-3y=15
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3 0
3 years ago
Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?
Zinaida [17]

Answer:

$300,000

Step-by-step explanation:

To find 8% of 100,000 all you need to do is multiply 100,000 by .08.

100,000 (.08) = 8,000

The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.

8,000 (25) = 200,000

Now add the initial amount to the additional 200,00 that will be paid to the retirement account.

100,000 + 200,000 = 300,000

The answer is $300,000.

6 0
2 years ago
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