Please help me! Civics home work super easy

Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combination value of $8.85. How many of each

stepan [7]

Answer: he has 32 quarters and 17 nickels.

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of quarters that he has in her wallet.

Let y represent the number of nickels that she has in her wallet.

He has 49 coins total. This means that

x + y = 49

the total value of the coins is $8.85. This means that

0.25x + 0.05y = 8.85 - - - - - - - - - - 1

Substituting x = 49 - y into equation 1, it becomes

0.25(49 - y) + 0.05y = 8.85

12.25 - 0.25y + 0.05y = 8.85

- 0.25y + 0.05y = 8.85 - 12.25

0.2y = 3.4

y = 3.4/0.2

y = 17

x = 49 - y = 49 - 17

x = 32

7 0

3 years ago

this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you

lyudmila [28]

Answer:

x = 24.

r $\ne$ 0.

Step-by-step explanation:

2. The given equation is:

$\frac{1}{2} (x - 4) = \frac{1}{3} x + 2$

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$\frac{1}{2} (x - 4) = \frac{1}{3} x + 2$

Multiplying throughout by 6, we get:

$\frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2)$

$\implies 3(x - 4) = 2x + 12$

$\implies 3x - 12 = 2x + 12$

$\implies x = 24$

Therefore, the solution of the equation is 24.

3. The given equation is: $ry + s = tx - m$

To solve for y:

We can rearrange the equation as:

$ry = tx - m - s$

$\implies y = \frac{tx - m - s}{r}$

or, $y = \frac{tx - (m + s)}{r}$

Note that we have to impose a condition on variable $r$ . It would be that $r$ can never be zero. i.e., $r \ne 0$ . Otherwise, the value of $y$ would be undefined.

4 0

3 years ago

Select the values that make the inequality y≥2y≥2 true.

ExtremeBDS [4]

9514 1404 393

Answer:

{2, 2.001, 2.01, 2.1, 3, 5, 7, 10}

Step-by-step explanation:

The symbol ≥ means "greater than or equal to", so any values 2 or greater will make the inequality true. From your list, those are ...

2 2.001 2.01 2.1 3 5 7 10

3 0

2 years ago

Ivan surveyed 49 randomly selected players from the 134 players of the soccer club teams to see if they wanted the games to be p

nordsb [41]

Twenty-two of the players said that they preferred that the games be played on Saturdays. Ivan correctly determined that the margin of error, E, of his survey using a 99% confidence interval (z*score 2.58) is approximately 18%

Ivan surveyed 49 randomly select

8 0

3 years ago

Read 2 more answers

Rank these graphs on the basis of the angular acceleration of the object. Rank positive angular accelerations as larger than neg

insens350 [35]

The ratio of change in angular position to change in time is defined as the angular velocity. Thus, the slope of an angular position versus time graph gives the angular velocity of the object being graphed.
The rank of the given graphs can be written as follow,positive graphs are listed first.
The line B is the line with the greater positive slope.
The line B is the line with positive slope but is less than the slope of line B.
The lines A,t ,and F are the lines with the zero slope.
The lines D and E are parallel to each other and have same negative slope.

7 0

2 years ago