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nlexa [21]
3 years ago
6

Solve for t. 4=2+2/5t

Mathematics
2 answers:
maxonik [38]3 years ago
8 0
T=5

4=2+2/5t
Subtract 2 from both sides.
2=2/5t
Multiply both sides by 5/2.
t=5
OverLord2011 [107]3 years ago
7 0
Hello! Let's solve the equation step by step. :)

Step 1: Simplify both sides of the equation.<span>

4=<span><span><span>2/5</span>t</span>+2</span></span>

Step 2: Flip the equation.<span><span><span><span>

2/5</span>t</span>+2</span>=4</span>

Step 3: Subtract 2 from both sides.<span><span><span><span><span>

2/5</span>t</span>+2</span>−2</span>=<span>4−2</span></span><span><span><span>

2/5</span>t</span>=2</span>

Step 4: Multiply both sides by 5/2.<span><span><span>

(<span>52</span>)</span>*<span>(<span><span>25</span>t</span>)</span></span>=<span><span>(<span>52</span>)</span>*<span>(2)</span></span></span><span>

t=<span>5

Hope this helps! Cheerio and have a lovely day. :)</span></span>
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mina [271]
Subtract b and then a = (zma) - b
5 0
3 years ago
John wants to make a 100 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with an 8% alcohol solution. What
mart [117]

Answer:

-50 ml of 3% alcohol solution and 150 ml of 8% alcohol solution

Step-by-step explanation:

For us to solve this type of mixture problem, we must represent the problem in equations. This will be possible by interpreting the question.

Let the original volume of the first alcohol solution be represented with x.

The quantity of the first alcohol solution needed for the mixture is 3% of x

                   ⇒ \frac{3}{100} * x

                       = 0.03x

Let the original volume of the second alcohol solution be represented with y.

The quantity of the second alcohol solution needed for the mixture is 5% of y

                   ⇒ \frac{5}{100} * y

                       = 0.05y

The final mixture of alcohol solution is 6% of 100 ml

                 ⇒ \frac{6}{100} * 100 ml

                       = 6 ml

Sum of values of two alcohol solutions = Value of the final mixture

                     0.03x + 0.05y = 6 ml               ..........(1)

Sum of original quantity of each alcohol solution = Original volume of the of mixture

                     x + y = 100 ml                          ..........(2)      

For easy interpretation, I will be setting up a table to capture all information given in the question.

Component                       Unit Value      Quantity(ml)       Value

3% of Alcohol solution        0.03                 x                     0.03x

8% of Alcohol solution        0.08                 y                     0.08y

Mixture of 100ml of 6%        0.06               100                       6    

                                                                x + y = 100       0.03x + 0.08y =6

Looking at the equations we derived, we have two unknowns in two equations which is a simultaneous equation.

                                0.03x + 0.05y = 6 ml               ..........(1)

                                x + y = 100 ml                           ..........(2)    

Using substitution method to solve the simultaneous equation.

Making x the subject of formula from equation (2), we have,

                                x  = 100 - y                                 ..........(3)

Substituting  x  = 100 - y from equation (3) into equation (1)

                               0.03(100 - y) + 0.05y = 6  

                               3 - 0.03y + 0.05y = 6  

Rearranging the equation,            

                               0.05y - 0.03y = 6 - 3

                               0.02y = 3

                               y = \frac{3}{0.02}

                               y = 150 ml

Substituting y = 150 ml into equation (3) to get x

                              x  = 100 - 150 ml

                              x = - 50 ml

The quantity of the first alcohol solution needed for the mixture for 3% is - 50 ml

The quantity of the second alcohol solution needed for the mixture for 5% is 150 ml

This solution means 50 ml of the first alcohol solution must be removed from the mixture with 150 ml of the second alcohol solution to get a final mixture of 100 ml of 6% alcohol solution.

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3 years ago
Jodie wants to raise money for a school trip by selling raffle tickets at a basketball game. She sells each ticket for 50 cents,
wel

Answer:

250 dollars

Step-by-step explanation:

t = tickets

t = 200

Two and a half rolls tickets = (200 x 2) + 200/2) = 400 + 100 = 500

500 tickets x 50 cents = 25000 cents

convert cents to dollars (move decimole point over left 2 units)

25000 = 250 dollars

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3 years ago
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mario62 [17]
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5 0
3 years ago
Read 2 more answers
5. help me i’ll give brainliest if you’re right
-Dominant- [34]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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