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maks197457 [2]
2 years ago
6

Kyle is practicing for a 3-mile race. His normal time is 23 minutes 25 seconds. Yesterday it took him only 21 minutes 38 seconds

. How much faster was Kyle's time yesterday than his normal time?
Mathematics
1 answer:
diamong [38]2 years ago
7 0

Answer:2:24

Step-by-step explanation:

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Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Olegator [25]
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant. 

Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
5 0
2 years ago
Evaluate \dfrac14c+3d
Crank

Answer:  \frac{45}{2}

Step-by-step explanation:

<h3> The exercise is: " Evaluate \frac{1}{4}c + 3d when c = 6 and   d = 7</h3>

Given the following expression:

 \frac{1}{4}c + 3d

You can follow these steps in order to evaluate it:

 1. Substitute c = 6 and   d = 7 into the expression provided in the exercise:

  \frac{1}{4}(6) + 3(7)

2. Solve the multiplications. Remember that:

 \frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

Then:

 =\frac{6}{4} +21

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

=\frac{3}{2} +21

4. Solve the addition:

=\frac{3}{2} +\frac{21}{1}

 Since the number 21 has a denominator 1, the Least Common Denominator is:

LCD=2

Then, the sum is:

=\frac{3+42}{2}=\frac{45}{2}

5 0
2 years ago
Read 2 more answers
Drag the correct classification for each graph into the boxes to complete the table.
tester [92]

neither even or odd, odd, even

5 0
2 years ago
Read 2 more answers
780 students stand in rows and columns. each row has an equal number of students and each column has an equal number of students
Alex73 [517]

Answer:

Step-by-step explanation:

x = number of rows

780=x(x+4)

780=x^{2} +4x

x^{2} +4x-780=0\\(x+26)(x-30)=0\\x=30 \\x\neq -26\\

there are 26 rows and 30 students in each row 26*30=780

8 0
2 years ago
Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
Montano1993 [528]

The system of equations is

n + d = 27

n + 5d = 55

Step-by-step explanation:

The given is:

  • Kiran has 27 nickels and quarters in his pocket
  • They worth a total of $2.75
  • We need to write a system of equations to represent the relationships between the number  of nickels n, the number of quarters d, and the dollar amount in this situation

∵ The number of nickles is n

∵ The number of quarters is d

∵ There are 27 nickles and quarters

∴ n + d = 27 ⇒ (1)

∵ 1 nickel = 5 cents

∵ 1 quarter = 25 cents

- Multiply n by 5 and d by 25 to find their value

∴ They worth = 5n + 25d

∵ They worth a total of $2.75

- Chang the dollar to cent

∵ 1 dollar = 100 cents

∴ $2.75 = 2.75 × 100 = 275 cents

- Equate their value by 275

∴ 5n + 25d = 275

- Simplify it by divide each term by 5

∴ n + 5d = 55 ⇒ (2)

The system of equations is

n + d = 27

n + 5d = 55

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0
2 years ago
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