How many quarters, dimes, nickles and pennies make $2,670,474?

Final answer:

Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies. This is calculated by tripling the original required amount of 7/8 cup of oil needed for 2 dozen brownies.

Explanation:

Colton's recipe for brownies specifies that 7/8 cup of vegetable oil is needed to make 2 dozen brownies. To find out how much oil is required for 6 dozen brownies, we need to calculate the amount of oil for triple the original quantity since 6 dozen is three times 2 dozen. First, we set up a proportion where 2 dozen corresponds to 7/8 cup of oil.

Mathematically, we can find the amount of oil needed for 6 dozen by multiplying the amount of oil for 2 dozen by 3 (since 6 is three times larger than 2):

Multiply 7/8 cup by 3.

7/8 × 3 = 21/8 cups.

Convert 21/8 cups to a mixed number to get 2 5/8 cups.

Therefore, Colton will need 2 5/8 cups of vegetable oil to make 6 dozen brownies.

Answer

Find out the what is the ratio of granola bars to fruit bars .

To prove

As given

A bowl contains 15 granola bars and 10 fruit bars.

The ratio of the granola bars to fruit bars is written as .

[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{15}{10}[/tex]

Simplify the above

[tex]\frac{Number\ of\ granola\ bars}{Number\ of\ fruits\ bars} = \frac{3}{2}[/tex]

Therefore

[tex]the\ ratio\ of\ the\ granola\ bars\ to\ fruit\ bars\ be\ \frac{3}{2} .[/tex]

The rectangular lawn's dimensions that match the given area (153 square meters) and perimeter (52 meters) are 17 meters in length and 9 meters in width.

This problem is solved using the formulae for the area and the perimeter of a rectangle. The area is given by Area = length x width and the perimeter by Perimeter = 2 x (length + width). Because we know both the area and the perimeter of the rectangle, we have a system of two equations and two unknowns. Given that the area is 153 and the perimeter is 52, we can write the equations as follows: lw = 153 and 2l + 2w = 52.

By solving this system of equations, we find that the dimensions of the rectangle that satisfy these two equations are length = 17 meters and width = 9 meters. Therefore, the lawn's dimensions are 17 meters in length and 9 meters in width.

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To convert 5 quarts to cups, multiply 5 by the conversion factor of 4 cups per quart, resulting in 20 cups.

To convert from quarts to cups, you need to use a conversion factor. The conversion factor for converting quarts to cups is 1 quart = 4 cups. Therefore, to convert 5 quarts to cups, you need to multiply the number of quarts by the conversion factor.

The calculation is as follows:

Therefore, 5 quarts is equal to 20 cups.

The word sentence 'The quotient of two times a number k and -2.6 is 12' translates to the equation (2 × k) / -2.6 = 12. Solving for k gives k = -15.6.

The sentence describes 'the quotient of two times a number k and -2.6 is 12'. Quotient refers to the result of division. Therefore, the equation that represents this sentence is:

(2 × k) / -2.6 = 12

To find the value of k, you would multiply both sides by -2.6 and then divide by 2:

-2.6 × 12 = 2 × k => -31.2 = 2 × k

k = -31.2 / 2 => -15.6

If she spent $6.25 on earrings and 4 times that amount on a shirt. She take $39.50 to the mall originally.

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that, Jan spent the entire day shopping. She brought $8.25 home. She spent $4 times that much on a blouse and $6.25 on earrings.\

We have to find the amount she take to the mall originally.

Suppose the total amount is x,

x=$8.25 + $6.25 + $6.25×4

x=25+14.5

x=39.50

Thus, if she spent $6.25 on earrings and 4 times that amount on a shirt. She take $39.50 to the mall originally.

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To roast a five-pound roast takes 187 minutes and 30 seconds at the same rate.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

A 4-pound roast takes 150 minutes

So,

4-pound ⇔ 150 minutes

Divide by 4 on each side,

1-pound ⇔ 150/4 minutes

Multiply by 5

5-pound ⇔ (150×5)/4 minutes

5-pound ⇔ 187.5 minutes

5-pound ⇔ 187 minutes and 30 seconds.

Hence "To roast a five-pound roast takes 187 minutes and 30 seconds at the same rate".

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Answer:

Some

Step-by-step explanation:

Term and expression are two different concepts in mathematics. When numbers, symbols and operators are combined at one place to express or show some value, it is called expression. For example;

4y-3 or 3-1

It is an expression.

Where the term can be stated or defined as a single or smallest identity. Any number or variable or combination of them can be stated as term.

For example, if we take above expression 4y-3

4y-3, we can say that 4y is one term and 3 is second term.

Now the point to be noted here is, if you separately take 4y, it can be expressed as expression as well, because 4y is expressing value of something which is in accordance with the definition of expression.

Answer: it's four

Step-by-step explanation:

Answer:

its -4

Step-by-step explanation:

To count from 82 to 512, you can do so by adding 10 to each preceding number starting from 82 until you reach 512.

One way to count from 82 to 512 is to count by multiples of 10, which are also known as 'tens'. Begin by starting at the number 82 and adding 10 to get 92. Then, continue adding 10 to each resulting number. Continue this process until you reach the number 512. So, the sequence would look like this: 82, 92, 102, 112... until you eventually reach 512.

Note: This is just one simple method. Depending on the circumstances, you might want to count by other numbers. For instance, you could count by 20's or 50's. Each will yield a different number of steps, and some might be more efficient than others depending on the context.

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The fish swam 28 feet down in the 32-foot deep lake.

To find out how many feet down the fish swam, we can multiply the depth of the lake by the fraction representing the proportion it swam.

The depth of the lake is given as 32 feet, and the fish swam 7/8 of this depth.

Multiplying 32 by 7/8:

32 * (7/8) = 224/8 = 28

Therefore, the fish swam 28 feet down in the 32-foot deep lake.

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