the larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers

The value of the 4 in the number 5,679.04 is 4,000.

The value of the 4 in the number 5,679.04 is 4,000. In the given number, 5,679.04, the digit 4 is in the thousands place, which means it represents 4,000.

Final answer:

The value of the 4 in the number 5,679.04 is in the thousandths place.

Explanation:

Place value is a fundamental concept in mathematics that assigns a numerical value to each digit in a number based on its position. The rightmost digit represents the units, the next digit to the left represents tens, and so on.

For example, in the number 60, the digit 6 is in the tens place, indicating 6 tens or 60. Understanding place value is crucial for performing arithmetic operations and comprehending numerical relationships.

Thus,

The value of the 4 in the number 5,679.04 is 4,000.

In the given number, 5,679.04, the digit 4 is in the thousands place, which means it represents 4,000.

Answer:

20 and 400 and 70 and 100

To solve such problems we must know about the system of equations.

The system of the equation will give a unique solution at point (7, 0).

2x-9y=14

as the value of x is already given in equation2, therefore, substituting the value of x in equation 1, we get,

[tex]2(6y+7)-9y=14[/tex]

[tex]-12y+14-9y=14\\ -12y-9y =14-14\\ -21y = 0\\ y =0[/tex]

[tex]x= - 6y + 7[/tex]

Substituting the value of y,

[tex]x= - 6(0) + 7\\ x= 7[/tex]

The system will give a unique solution at points x=7, and y=0, this can be verified by plotting the two equations on the graph.

Hence, the system of the equation will give a unique solution at point (7, 0).

Learn more about the system of equation:

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Answer: (0,-6)

Step-by-step explanation:

Answer:

Depth of seal in 5 seconds = 85.5 meters

Step-by-step explanation:

Distance between a seal and fish = 95 meters below the surface of the water

It traveled 18% of the total distance every second so distance covered in one second = 18% of 95

= 95×0.18

= 17.10 meters

And distance covered in 5 seconds will be = 17.10 × 5 = 85.50 meters

Therefore, depth of the seal in 5 seconds will be 85.5 meters

Answer: 3 million barrels

Step-by-step explanation:

Given :- Total crude oil= 60 million barrels

Quantity of gasoline = 34% of total crude oil

[tex]=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}[/tex]

Quantity of diesel = 29% of total crude oil

[tex]=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}[/tex]

Clearly, Quantity of gasoline is more than Quantity of diesel

difference = Quantity of gasoline-Quantity of diesel

[tex]20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}[/tex]

Therefore, The production of gasoline is 3 million barrels more than diesel last year.

3 million more barrels of gasoline then diesel were produced and this can be determine by using the arithmetic operations.

Given :

The quantity of Gasoline = 34% of total crude oil

                                           [tex]=\dfrac{34}{100}\times 60[/tex]

                                           = 20.4 million barrels

The quantity of Diesel = 29% of total crude oil

                                      [tex]=\dfrac{29}{100}\times 60[/tex]

                                      = 17.4 million barrels

Quantity of Gasoline - Quantity of Diesel = 20.4 - 17.4 = 3 million barrels

Therefore, 3 million more barrels of gasoline then diesel were produced.

For more information, refer the link given below:

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The ages of  Edna, Ellie, and Elsa are 35, 36, 37 respectively.

For any integer say 'a', its consecutive integers will be → (a + 1), (a + 2), (a + 3), .... , (a + n).

Given is the sum of ages of Edna, Ellie, and Elsa is 108.

Assume that the age of Edna is x.

Then the ages of Ellie and Elsa will be (x + 1) and (x + 2) respectively.

From the question we can write -

x + (x + 1) + (x + 2) = 108

3x + 3 = 108

3x = 105

x = 35

So, we can write -

Age of Edna = 35

Age of Ellie = 36

Age of Elsa = 37

Therefore, the ages of  Edna, Ellie, and Elsa are 35, 36, 37 respectively.

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Answer:

4, 12, 36, 108  is set of geometric sequence.

Step-by-step explanation:

Given  : geometric sequence.

To find : Which set of numbers is a geometric sequence.

Solution : We have given geometric sequence.

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Like : {a, ar, ar², ar³, ... }, where , a = first term , r = common ration .

We can see sequence 4, 12, 36, 108 in form of  4 , 4*3 , 4 (3)² , 4( 3)³.

Here, common ration is 3.

Therefore, 4, 12, 36, 108  is set of geometric sequence.

Answer:

A is the answer because $5 is the amount when Maysa started out, and $1 is the amount when Ethan started out. So it is A .

Step-by-step explanation:

Final answer:

To find the better buy between the two pizzas, we calculate the cost per square inch for each. After determining the area of each pizza, the calculations show that the 14-inch pizza offers the better value at $0.104 per square inch, compared to the 8-inch pizza's $0.199 per square inch.

Explanation:

To determine which pizza offers the better buy, we need to calculate the price per square inch of each pizza. First, we find the area of each pizza using the formula for the area of a circle, A = πr^2, where r is the radius (half the diameter).

For the 8-inch pizza: radius = 4 inches. So, A = 3.14 × (4)^2 = 50.24 square inches.

For the 14-inch pizza: radius = 7 inches. So, A = 3.14 × (7)^2 = 153.86 square inches.

Next, we calculate the cost per square inch:

8-inch pizza: $10 / 50.24 square inches = $0.199 per square inch.

14-inch pizza: $16 / 153.86 square inches = $0.104 per square inch.

Therefore, the 14-inch pizza offers the better value at approximately $0.104 per square inch, as opposed to the 8-inch pizza's $0.199 per square inch.