A child’s piggy bank contains quarters and dollar coins. There are 6 times as many quarters as dollar coins. If there are 140 coins the piggy bank, what is the total amount of money it contains?

Answer:

The Answer for this question is merely 30.7

Step-by-step explanation:

Answer: The answer is A. "The IQR is the best measure of variability because the distribution has an outlier."

Step-by-step explanation:

Final answer:

Five ways to divide 12 glue sticks into equal groups are 2 groups of 6, 3 groups of 4, 4 groups of 3, 6 groups of 2, and 12 groups of 1.

Explanation:

The student asked for five different ways to show equal groups of glue sticks when they have 12 glue sticks in total. Here are five ways to make equal groups:

To visualize this, you can draw the groups on paper or use objects to represent the glue sticks and arrange them into the number of groups needed.

Answer:

To make recipe for 10 requires 35/8 or 4.375 chopped vegetables

Step-by-step explanation:

For 4,   7/4  cups of chopped vegetable are needed

it means for recipe for 4, requires 1.75 chopped vegetable

Therefore 10 recipe will require

10 × 7/4(1.75) cup divided by 4

Mathematically,

10 × 1.75 = 17.5

17.5/4 = 4.375  or 35/8 chopped

The recipe uses 2 5/12 cups more white flour than wheat flour. To find this, convert the amounts to improper fractions, find a common denominator, and then subtract the amount of wheat flour from the amount of white flour.

To find out how many more cups of white flour are used than wheat flour in a bread recipe, you need to calculate the difference between the amounts of the two flours. The recipe calls for 5 3/4 cups of white flour and 3 1/3 cups of wheat flour. To do this mathematically, we must first convert these mixed numbers to improper fractions.

The white flour amount, 5 3/4 cups, can be converted as follows: (5 × 4) + 3 = 20 + 3 = 23/4 cups. Similarly, the wheat flour amount, 3 1/3 cups, converts to (3 × 3) + 1 = 9 + 1 = 10/3 cups.

Now, to find the difference, we subtract the wheat flour from the white flour:

Before subtraction, you have to ensure that both fractions have the same denominator. The least common denominator here is 12. The equation now becomes:

Simplifying the subtraction gives us:

Therefore, the recipe uses 29/12 cups, or 2 5/12 cups more white flour than wheat flour.

Answer:

The translation is (x, y)--->(x - 1, y + 2).

Answer: (6, -11)

Step-by-step explanation:

Final answer:

There are 12 varieties of pizza available based on the given options: 2 crust options and 6 topping options.

Explanation:

Pizzas can have different varieties depending on the toppings and crust options. Let's calculate the number of varieties we can get using the multiplication principle.

Suppose there are 6 available toppings and 2 crust options (hand-tossed and pan). A customer can choose any combination of these toppings. So, there are 2 options for the crust and 6 options for each topping. Using the multiplication principle, we multiply the number of options for each factor: 2 (crust) * 6 (topping) = 12 varieties.

Therefore, there are 12 varieties of pizza available based on the given options.

The number of possible outcomes for a pizza order is calculated by considering 2 crust types and 64 topping combinations, resulting in:

[tex]\[ 2 \times 64 = 128 \][/tex]

Thus, there are [tex]\(\boxed{128}\)[/tex]possible outcomes.

To solve this problem, we need to find the total number of possible outcomes for a customer ordering a pizza at the stand. There are two main choices to consider:

1. The type of pizza crust (hand-tossed or pan).

2. The combination of toppings (from a set of six available toppings).

Step-by-Step Calculation

There are 2 types of crusts available:

- Hand-tossed

- Pan

This gives us 2 choices for the crust.

For each of the 6 available toppings, a customer can either choose to include the topping or not. Each topping thus has 2 choices: include or not include.

Since the choices for each topping are independent, we can use the multiplication rule of counting (specifically, the rule for combinations):

[tex]\[2^{6} \text{ combinations of toppings}\][/tex]

Calculating this gives:

[tex]\[2^{6} = 64 \text{ combinations}\][/tex]

The total number of possible outcomes is the product of the number of choices for the type of crust and the number of combinations of toppings.

[tex]\[2 \text{ (types of crust)} \times 64 \text{ (combinations of toppings)} = 128 \text{ outcomes}\][/tex]

Therefore, the number of possible outcomes in the sample space is:

[tex]\[\boxed{128}\][/tex]

Answer:

caral corect

Step-by-step explanation:

hes wrong not d

The discriminant of a quadratic equation ax²+bx+c = 0 is found using the formula b² - 4ac. It helps determine the nature of the roots of the equation, with the sign of the discriminant indicating whether the roots are real or complex.

The discriminant of a quadratic equation, written in standard form as ax²+bx+c = 0, is found using the formula b² - 4ac. This value comes from the quadratic formula used to solve for the roots of the equation: -b ± √b² - 4ac divided by 2a. This discriminant can help determine the nature of the roots without solving the entire equation. If the discriminant is positive, the quadratic has two distinct real roots. If it is zero, there is one real root. If the discriminant is negative, there are two complex roots.

For example, consider the quadratic equation x² - 4x + 4 = 0. Here, a = 1, b = -4, and c = 4. Therefore, the discriminant is (-4)² - 4(1)(4) = 16 - 16 = 0. This means the equation has one real root.

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