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Ronch [10]
3 years ago
10

The sum of three consecutive even integers is 102. Find the largest of the three integers.

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer to the question is..

32,34,36

largest is 36

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An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
3 years ago
What is the value of x in the equation 3- 2x = -1.5х?
Vika [28.1K]

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

3 - 2x = -1.5x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    3 = 0.5x
  2. Divide 0.5 on both sides:               6 = x
  3. Rewrite:                                           x = 6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    3 - 2(6) = -1.5(6)
  2. Multiply:                               3 - 12 = -9
  3. Subtract:                              -9 = -9

Here we see that -9 does indeed equal -9.

∴ x = 6 is the solution to the equation.

6 0
3 years ago
Read 2 more answers
Can someone help me please with this question?
lubasha [3.4K]
\frac{10}{7}=\frac{3}{x}
so x=2.1
8 0
3 years ago
Read 2 more answers
The blades of a windmill turn on an axis that is 35 feet above the ground. The blades are 10 feet long and complete two rotation
7nadin3 [17]
<span>It could be C. If the blade spends twice in a minute, it would be 30 seconds. 30=2pi/B=pi/15. </span>
6 0
3 years ago
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Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun
navik [9.2K]
<span>Total = Principal × ( 1 + Rate )<span>^years
</span></span><span>Total = 150,000 * (1.055) ^ 30
</span>Total = 150,000 * <span> <span> <span> 4.9839512884
</span></span></span>Total = <span> <span> <span> 747,592.69</span></span></span>

<span>Total = 150,000 * (1.065) ^ 30
</span><span><span><span>Total = 150,000 * 6.614366163 </span> </span> </span>
<span>Total = 992,154.92</span>

Difference = 992,154.92 -<span>747,592.69 =
</span><span>244,562.23 </span>

Source:
http://www.1728.org/compint.htm
online interest calculator



7 0
3 years ago
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