A child has a bottle full of pennies, nickels, dimes, and quarters. There are four as many quarters as pennies, two times as many as nickels as pennies, and seven times as many dimes as nickels. How many more dimes does the child have than nickels?

we use the relation 1 L=1000 mL and organize our equation in such a way that L cancels as:

Thus, 0.65 L is 650 mL.

We are asked to make z the subject of the formula.

First, we subtract y/x from both sides of the equation

Thus, the formula for finding the value of z is  .

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

If   , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3

we are asked to find the amount of milk in mL using the given information.

If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

A recipe of 3.4 teaspoons is equal to 17.0 mL.

To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, follow these steps:

Step 1: Determine the largest possible circle

• The largest circle that can fit inside the rectangle will have a diameter equal to the smaller side of the rectangle.
• The rectangle has dimensions 8 cm × 10 cm, so the largest possible diameter is 8 cm (since the circle must fit within the rectangle).

Step 2: Find the radius

The radius r is half of the diameter:

r=8/2=4cm

Step 3: Calculate the area of the circle

The area of a circle is given by the formula:

A=πr2 =16πcm2

To find the probability of an event, we use the following the formula

To find the probability of drawing the red ball, we need to find the total number of balls in the bag.

Total number of balls in the bag=6+3+5=14 balls

The probability of drawing a red ball from the bag is 3/14.

We are asked to find the fraction of pizza the three friends shared equally.

First, the whole pizza is represented by 1. If one friend ate a quarter of the pizza, then:

First friend eats =1/4 of 1=1/4*1=1/4

Remaining fraction of the pizza=1-1/4=3/4

Now, the three friends share 3/4 amongst themselves equally. So, each friend gets

The three friends each gets 1/4 of the pizza.

in this case, we express James’ uncle’s age in terms of James’ age. From the equation:

James’ age is n

James’s uncle’s age is m=3n-13

Thus, the relation that relates James’ uncle’s age in terms of James’ age is m=3n-13.

We are given the equation:

6x−5=10x+15

Step 1: Move all xxx-terms to one side

Subtract 6x from both sides:

−5=10x−6x+15

Step 2: Move constants to the other side

Subtract 15 from both sides:

−5−15=4x

−20=4x

Step 3: Solve for x

Divide both sides by 4:

x=−20/4 = −5