Lauren’s age can be represented by the expression 10m2. Kristen’s age can be represented by the expression 2m5.What is the ratio of Lauren’s age to Kristen’s age?

Answers

Answer 1

Answer:

The ratio of Lauren's Age to Kristen's Age = $\rm5:m^3$

Ratio of two numbers is a quantitative relationship between two numbers showing that how one number is increasing or decreasing with respect to other number.

If a and b are two numbers then the their ratio r is represented by the equation (1)

$r = a:b......(1)$

Lauren' s Age = $10m^2$

Kristien's Age = $2m^5$

For Finding out the ratio of two numbers we simply divide them.

Let x be the ratio of Lauren's age to Kristen's age, = x = $\rm10m^2$ / $\rm2m^5$ .....(2)

On simplifying equation (2) we get

x = $\rm5/m^3$

So the ratio of Lauren's Age to Kristen's Age = $\rm5:m^3$

For more information please refer to the link below

brainly.com/question/21379025

Answer 2

Answer: Given:
Lauren's age = $10 m^(2)$
Kristen's age = $2 m^(5)$

ratio of Lauren's age to Kristen's age = $(10 m^(2) )/(2 m^(5) )$

= $(2 * 5* m^(2) )/(2* m^(5) )$

= $(5 )/( m^(5-2) )$

= $(5 )/( m^(3) )$

So, the ratio is 5 : m³

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Point P(−4.05, −9.25) is a reflection across the y-axis of which of the following points?(−4.05, 9.25)
(−9.25, −4.05)
(4.05, −9.25)
(9.25, 4.05)

Answers

reflection across the y-axis = opposite x coordinate, the same y coordinate
ans: (4.05, −9.25)

The answer to your question is (4.05, −9.25)

If f(x) = 2x2 1, what is f(x) when x = 3? a 1 b 7 c 13 d 19 9 of 50

Answers

Answer:

Option (d) is correct.

The value of function $f(x)=2x^2+1$ when x = 3 is 19

Step-by-step explanation:

Given: Function $f(x)=2x^2+1$

We have to find the value of function when x = 3

Cosnier the given function $f(x)=2x^2+1$

For x = 3 , we have,

$f(3)=2(3)^2+1$

Simplify, we have,

$f(3)=18+1=19$

Thus, The value of function $f(x)=2x^2+1$ when x = 3 is 19.

Answer:

Step-by-step explanation:

Pls help. polynomials solving equations

Answers

Answer:

+9or -9 is the answer ☺️ you

Answer:

y will be equal to 0, 9, or 1

(y=0, 9, 1)

5)Trevon's school is selling tickets to the annual dance competition. On the first day of ticket salesthe school sold 5 senior citizen tickets and 8 student tickets for a total of $94. The school took in
$164 on the second day by selling 10 senior citizen tickets and 13 student tickets. Find the price
of a senior citizen ticket and the price of a student ticket

Answers

Answer:

$8 for student tickets and $4.40 for senior tickets

Step-by-step explanation:

10 (5x +8y=94)

5 (10x +13y=164)

50x+80y=940

- 50x +65y=820

80y-65y= 940-820

15y= 120/15

y=8

(y is the cost of student tickets)

5x+8y=94

5x+8(9)=94

5x+72=94-72

5x=22/5

x= 4.4

Which system of inequalities is shown below in the graph

Answers

show the graph to me.

There isn't a graph so i cant really answer

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? a. 6 in3
b. 24 in3
c. 36 in3
d. 48 in3

Answers

To find the volume of a cylinder that the cone fits exactly inside, we can use the formula for the volume of a cone. By solving for the radius and height of the cone, we can then substitute those values into the formula for the volume of a cylinder to obtain the volume.The correct option is C.

To find the volume of a cylinder that the cone fits exactly inside, we need to understand the relationship between the cone and the cylinder. The volume of a cone can be found using the formula V = (1/3) * π * r^2 * h, where r is the radius and h is the height of the cone. The volume of the cylinder is equal to the volume of the cone, so the volume of the cylinder can also be calculated using the formula V = π * r^2 * h. In this case, the volume of the cone is given as 12 cubic inches. We can set up an equation to find the radius and height of the cone using this volume, and then use those values to find the volume of the cylinder.

Let's solve for the radius and height of the cone:

1.Start with the formula for the volume of a cone: V = (1/3) * π * r^2 * h

2.Substitute the given volume of the cone as 12 cubic inches: 12 = (1/3) * π * r^2 * h

3.Cancel out the 1/3 by multiplying both sides of the equation by 3: 36 = π * r^2 * h

4.Divide both sides of the equation by π to isolate r^2 * h: r^2 * h = 36/π

5.Since we don't have enough information to solve for both r and h, we will express the height h in terms of the radius r.

6.Substitute r^2 * h with 36/π: r^2 * (36/π) = 36/π

7.Simplify the equation by canceling out the π: r^2 * (36/π) = 36/π

8.Multiply both sides of the equation by π/36: r^2 = 1/π

9.Take the square root of both sides to find the radius r: r = 1/√π

10.Now that we have the radius, we can find the height using the equation r^2 * h = 36/π: (1/√π)^2 * h = 36/π

11.Simplify the equation: h = 36

So, the radius of the cone is 1/√π and the height is 36. Using these values, we can calculate the volume of the cylinder:

1. Start with the formula for the volume of a cylinder: V = π * r^2 * h

2. Substitute the values we found for the cone into the formula: V = π * (1/ √π)^2 * 36

3. Simplify the equation: V = 36 cubic inches

the volume of the cylinder that the cone fits exactly inside is 36 cubic inches.

Therefor the correct option is C.

Learn more about volume of a cone and cylinder here:

brainly.com/question/35498382

#SPJ2

Volume of a cone = 1/3 r² π h
Volume of a cylinder = r² π h = 3 · V ( cone ) = 3 · 12 = 36 in³
Answer: C )

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