All categories

3 years ago

Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

You might be interested in

Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows th

Bogdan [553]

Sorry im a little late but here's how i did it.

Hope this helps! :)

3 0

3 years ago

PLEASE HELP!!! WILL REWARD BRAINLIEST!!!

jonny [76]

Answer:

The approximate monthly rate of growth is 1.24%

Step-by-step explanation:

we have the future value formula

$F=P(1+r)^t$

we have

$r=16\%=16/100=0.16$ ----> annual interest rate

$F=P(1+0.16)^t$

$F=P(1.16)^t$

Find the approximate monthly rate of growth

Remember that

$1\ year=12\ months$

Divide the number of periods t by 12

$F=P(1.16)^{\frac{t}{12}}$

Applying power rules property

$F=P(1.16^\frac{1}{12})^t$

$F=P(1.0124)^t}$

$1.0124-1=0.0124$

Convert to percentage

$0.0124*100=1.24\%$

therefore

The approximate monthly rate of growth is 1.24%

6 0

3 years ago

8.4.9 On or off the line & Practice Problems

Andrews [41]

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

5x + 2y = 40

2y = -5x + 40

y = -2.5x + 20 ---------(1)

Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

Number of quarters → 15

Number of dimes → 2

4 0

3 years ago

The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

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