Two numbers are in the ratio 3:2. If the smaller number is 24, find the larger number

Answer:

Total air in the tent =77×16=1232 m 3 (which is the total volume of tent) Since the tent is conical we will use some formula of cone: Volume= 31πr 2h ; Curved surface area=πrl l= slant height & r=7m Volume = 31πr 2h= 31π(7 2)h= 31 7227 2h= 3154h And we eknow that total volume is 1232m 3 So, 1232= 3154h h= 1541232×3=24m

Step-by-step explanation:

Final answer:

To solve this problem, we need to use the volume formula of a cone and equate it to the total volume of air needed by the 77 persons. Once we solve for the height, we can then determine the curved surface area of the cone using the radius and height.

Explanation:

This mathematics problem can be solved using the formula for the volume of a cone, which is given by V = 1/3 * π * r² * h where “r” stands for the radius of the base of the cone, “h” corresponds to the height, and “π” is a constant that roughly equals to 3.14. To accommodate 77 persons, with each person needing 16 m³ of air to breathe, the total volume necessary would be 77 * 16 = 1232 m³. Setting this equal to the volume of the cone formula and plugging in the given radius (r = 7 m), we solve for the height. Simultaneously, the curved surface area of a cone is given by A = π * r * l = π * r * sqrt((r²)+(h²)). We can evaluate both the height of the tent and its curved surface area applying these equations.

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Answer:

1-----3

2-----6

3------4

4------7

5-------5

6-------8

7--------1

8--------2

step-by-step explanation:

1)

consistent equation:  equations having a common solution in a system.

2)

Equivalent equation: equations having all common solutions.

3)

Inconsistent equations: equations having no common solutions in a system

4)

Linear inequality: an open sentence of the form Ax+By+C < 0 or Ax+By+C > 0.

5)

substitute: replace a quantity with its equal.

6)

system determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

7)

x-determinant:  the determinant found when column 1 consists of the constants and column 2 consists of the y-coefficients of a linear system.

8)

y-determinant: the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.

Final answer:

The terms are matched with their respective definitions, providing clarity about equations, linear inequality, substitution, and determinants in the context of a system of linear equations.

Explanation:

Let's go ahead and match these terms to their correct definitions:

1. Consistent equations are equations having a common solution in a system.
2. Equivalent equations refer to equations having all common solutions.
3. Inconsistent equations are equations having no common solutions in a system.
4. Linear inequality is an open sentence of the form Ax + By < C or Ax + By > C.
5. To Substitute means to replace a quantity with its equal.
6. System determinant for this instance, since specific definition is not provided, could be considered as a determinant that serves as a pivotal element in the solution of system of linear equations.
7. X-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the constants of a linear system.
8. Y-determinant is the determinant found when column 1 consists of the x-coefficients and column 2 consists of the y-coefficients of a linear system.

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Answer:

66 + 1 ( not fully shaded ) squares will be shaded.

66.67% region will be shaded

Step-by-step explanation:

It is given that Marks uses a grid to model percent equivalent of .

Let us assume that Mark uses a model containing 100 grids.

Now, as the grids are divided into region equivalent to i.e. it is divided into 3 parts.

Moreover, 2 out of those 3 parts will be shaded.

As,

i.e. =66.67%

So, it gives us that 66 squares in the grid will be fully shaded and one will not be fully shaded.

Hence, 66 + 1 ( not fully shaded ) squares will be shaded and in percent, 66.67% of the region will be shaded.

Final answer:

To represent the fraction 2/3 on a grid, approximately 67% of the squares on the grid should be shaded. This means such a fraction corresponds to 67 out of 100 squares on a 100-square grid or equivalently 67% shaded.

Explanation:

To determine how many grid squares Mark should shade to model the percent equivalent of the fraction 2/3, we need to understand the relationship between fractions, decimals, and percents. When we convert the fraction 2/3 into a decimal, we get approximately 0.67. To represent this as a percent, we multiply by 100, which gives us 67%. So, about 67 out of 100 squares should be shaded.

Let's say Mark's grid has 100 squares (10 rows by 10 columns). In that case, he would shade about 67 squares to represent 2/3 as a percent. If the grid contains fewer than 100 squares, he would need to adjust accordingly.

In summary, the model would show about 67% shaded.

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Answer:

x represents the amount of burgers you order at a restaurant and they each cost $5 y represents your total in cost of $ so if you get 3 burgers for 5 dollars each y= $15

Step-by-step explanation: