All categories

3 years ago

Pamela is 12 years younger than Jiri. The sum of their ages is 38. What is Jiri's age?

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

Answer:

Jiri's age is 25.

Step-by-step explanation:

Let P = Pamela's age

and J = Jiri's age. Then

(1) P = J - 12

(2) P + J = 38

Substitute (1) into (2) J - 12 + J = 38

Add 12 to each side J + J = 50

Combine like terms 2J = 50

Divide each side by 2 J = 25

Jiri's age is 25.

You might be interested in

Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual

Inga [223]

Answer:

It is clear that, The Shelly account is $11.23 more than that in Anne account .

Step-by-step explanation:

Given as :

For Anne

The amount deposited in account = p = $500

The rate of interest = r = 6% at simple interest

The time period of deposit = t = 4 years

Let The amount received in account after 4 years = $ $A_1$

From Simple Interest method

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or, s.i = $\dfrac{\textrm p\times \textrm r\times \textrm t}{100}$

Or, s.i = $\dfrac{\textrm 500\times \textrm 6\times \textrm 4}{100}$

Or, s.i = $\dfrac{12000}{100}$

i.e s.i = $120

∵ Amount = Principal + Interest

Or, $A_1$ = p + s.i

Or $A_1$ = $500 + $120

Or, Amount = $620

So, The Amount in Anne account after 4 years is $620

Again

For, Shelly

The amount deposited in account = P = $500

The rate of interest = R = 6% compounded annually

The time period of deposit = T = 4 years

Let The amount received in account after 4 years = $ $A_2$

From Compound Interest method

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, $A_2$ = P × $(1+\dfrac{\textrm R}{100})^{\textrm T}$

Or, $A_2$ = $500 × $(1+\dfrac{\textrm 6}{100})^{\textrm 4}$

Or, $A_2$ = $500 × $(1.06)^{4}$

Or, $A_2$ = $500 × 1.26247

Or, $A_2$ = $631.23

So, The amount received by Shelly in her account after 4 years = $631.23

Now, Difference between amount received in their account

i.e $A_2$ - $A_1$ = $631.23 - $620

Or, $A_2$ - $A_1$ = $11.23

Hence, It is clear that, The Shelly account is $11.23 more than that in Anne account . Answer

8 0

3 years ago

What two fractions can I multiply to make 2/3?

chubhunter [2.5K]

Answer:

2/3*3/3

Step-by-step explanation:

I mean its just doing 2/3 * 1 which i mean, 3/3 is still a fraction so i did it (TBH cant think of anything else

3 0

1 year ago

Read 2 more answers

6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If

GaryK [48]

Answer:

Step-by-step explanation:

6a 6b

2 : 3

30 : x

30×3

=45

4 0

2 years ago

GOLF Sky is a member of her school’s golf team. The table shows her scores from each of her matches. What was her average golf s

Fiesta28 [93]

Answer:

72,70,72, 71,71,70,69,72,69

I really didn't understand the question or what to do, but I tried.

Step-by-step explanation:

8 0

2 years ago

Help find perimeter and area

klio [65]

Answer: perimeter = 96mm, Area = 564mm².

Step-by-step explanation:

From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x

Therefore,

25² = ×² + 7²

625 = x² + 49

x² = 625 - 49

x² = 576

x. = √576

= 24.

Now the perimeter

= 20 + 25 + 7 + 20 + 24

= 96mm.

Area of the figure will be

= 1/2( a + b )h

Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values

( 20 + 27) x 24

---------------------

= 47 x 24/2

= 47 x 12

= 564mm²

8 0

2 years ago

Pamela is 12 years younger than Jiri. The sum of their ages is 38. What is Jiri's age?​

Pamela is 12 years younger than Jiri. The sum of their ages is 38. What is Jiri's age?