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2 years ago

Kevin is 333 years older than Daniel. Two years ago, Kevin was 444 times as old as Daniel.

Mathematics

2 answers:

tia_tia [17]2 years ago

5 0

Answer: the equations are

k = d + 33

k - 2 = 4(d-2)

Step-by-step explanation:

Let the present age of Kevin be represented by k

Let the present age of Daniel be represented by d

Kevin is 33 years older than Daniel. This means that the expression for their current age is

k = d + 33

Two years ago, Kevin was 4 times as old as Daniel. This means that 2 will be subtracted from their present ages to depict two years ago. Therefore, Two years ago for Daniel will be d-2

Two years ago for Kevin will be k - 2

Remember that Kevin was 4 times as old as Daniel two years ago, it becomes

k - 2 = 4(d-2)

babunello [35]2 years ago

5 0

Answer: $k= d+3$

$k-2 = 4(d-2)$

Step-by-step explanation:

Let k be Kevin's age and Let d be Daniel's age.

Given : Kevin is 3 years older than Daniel.

i.e. Age of Kelvin = Age of Daniel+ 3

i.e. In terms of variables , k= d+3 (1)

Two years ago,

Age of Kelvin = k-2

Age of Daniel = d-2

Since Two years ago ,Kevin was 4 times as old as Daniel.

i.e. In terms of variables : $k-2 = 4\times(d-2)$

$k-2 = 4(d-2)$ (2)

From (1) and (2) the system of equations represents this situation are

$k= d+3$

$k-2 = 4(d-2)$

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Step2247 [10]

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

Substituting x1=-6, x2=2, y1=3, y2=-3:

$\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2$

$\displaystyle y_m=\frac{3-3}{2}=0$

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting x1=-6, x2=-2, y1=3, y2=0:

$r=\sqrt{(-2+6)^2+(0-3)^2}$

$r=\sqrt{4^2+(-3)^2}$

$r=\sqrt{16+9}=\sqrt{25}=5$

The radius of the circle is 5.

4 0

2 years ago

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.

worty [1.4K]

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of candy is 113.04 cubic centimeter

3 0

3 years ago

How do you write 6,301.005 in standard form

Orlov [11]

<h3>Answer:</h3>

One of ...

6,301.005
6.301005×10³

<h3>Step-by-step explanation:</h3>

It depends on where you are.

In the US, standard form is the way you have written the number. Your number would be 6,301.005.

The attachment gives some guidance for number formats in American publications. In certain publications, thin spaces are used instead of commas to separate groups of digits. The comma (or space) is often optional, but can enhance readability for large numbers.

In Britain, standard form is the form called "scientific notation" in the US. Your number would be 6.301005×10³.