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trasher [3.6K]
3 years ago
8

Allen and Renaldo are gaining weight for basketball season. Allen weighs

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
3 0
25 weeks
178 + (3 x 25)
178 + 75 = 253

203 + (2 x 25)
203 + 50 = 253
Correct answer is 25 weeks.
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A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio
Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

   x (liters of 25% solution)

   y (liters of 50% solution)

 

Our system of equations will consist of two equations:

   Equation #1 (total volume of solution)

   Equation #2 (total concentration of acid)

 

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

   Equation #1:  x + y = 10

 

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

   Equation #2:  (0.25)(x) + (0.50)(y) =

                            (0.40)(10)

 

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

   x + y = 10

         y = 10 - x

 

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

   0.25(x) + 0.50(10 - x) = 0.40(10)

   0.25x + 5 - 0.50x = 4

   -0.25x = 4 - 5

   -0.25x = -1

          x = (-1)/(-0.25)

          x = 4 (liters of 25% solution)

 

Now we'll plug our value for x into Equation #1 and solve for y:

   4 + y = 10

         y  = 10 - 4

         y = 6 (liters of 50% solution)

 

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

   0.25(4) + (0.50)(6) = 0.40(10)

   1 + 3 = 4

         4 = 4 (our answers are correct)

8 0
2 years ago
Which expression is equivalent to(60)^2-(12)^2?
seraphim [82]

Answer:

The answer is

{60}^{2}  -  {12}^{2}  \\  = (60 - 12)(60 + 12)

Step-by-step explanation:

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

3 0
2 years ago
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Subtract 7 pounds 3 ounces from 10 pounds
butalik [34]
(10 pounds) - (7 pounds 3 ounces) =
2.8125 pounds
7 0
3 years ago
What is 56.23 × 104 in standard form?
aleksklad [387]

Answer:

5.23×10^5

Step-by-step explanation:

You mean 56.23×10^4?

That would be 5.623×10×10^4, or 5.23×10^5

4 0
3 years ago
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3. Which rule best describes the last three numbers shown in the pattern? 10, 12, 9, 11​
sergij07 [2.7K]

Answer:

it goes by 2 two times then subtracts 3 then again

Step-by-step explanation:

10,12,9,11,8,10,7

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