ruto is 12 years old.in three years time he will be ⅓ of his father present age.how old was his father 12 years ago​

Answers

Answer 1

Answer:

He was 45 in present day. But 12 years ago, he was 33.

Step-by-step explanation:

12+3=15

15•3=45 (you multipply because if you use 1/3 you would have to divide 45 by 3.)

Answer 2

Hello :D

Ruto is currently 12 years old. In 3 years he will be 15. 1/3 is 15. 3/3 would be 45 years old. 45 - 12 = 33


Related Questions

A company needs two loads of sand to make an indoor beach area for an employee picnic. One load of sand weighs 5 tons and the second load weighs 7,000 pounds. What is the total weight of the sand, in pounds, used for the beach area? *college mathematics*

Answers

Answer:

17000 pounds

Step-by-step explanation:

5 tons = 1 load

7000 pounds = 2 load

5*2000 = 10000 pounds

10000 + 7000 = 17000 pounds

Write as an algebraic expression five times the sum of a number and 4

Answers

Answer:

5(x+4)

Step-by-step explanation:

It's basically asking for the sum of a number and four to be multiplied by 5. Since the sum is made up of the unknown number and four, you'd put four and the unknown number in parenthesis while putting five on the outside, making it 5(x+4).

raise the quotient of y and 5 to the 2nd power

Answers

Answer:

I'm guessing y is numerator and 5 is denominator. so y^2/25

Step-by-step explanation:

so if you have the fraction y/5 and you need to square it or raise to the second power you get (y/5)^2. now using the properties of exponents when you get a fraction and need to raise it to a power you square the denominator and numerator which gets you y^2/25. now let's check if it works we can use 5 for y so (5/5)^2 is equal to 25/25 = 1. or (10/5)^2 which is 2^2 = 4. or 100/25 which is 4. so the equation works for the expression.

if (x+30°) and (180°-2x) are vertically opposite angles . Find the value of x .​

Answers

Answer:

50

Step-by-step explanation:

x + 30 = 180 - 2x   [vertically opposite angles]

x = 180 - 30 - 2x

x = 150 - 2x

x + 2x = 150

3x = 150

x = 150/3

x = 50

School for Jan started at 9.00 a.m. and finishes at 3.00 p.m. If Jan knew she was 2∕3
of the way through the school day, what time was it then? Put in either am or pm

Answers

Answer:

it's 1 pm

you have to count the hours between 9 am and 3 pm = 6 then you divide 6 by 3 = 2 then 2*2= 4

Petra invests $10,800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?

Answers

Answer:

Rate =interest*100/principal*time

Rate = 7.5%

Step-by-step explanation:

At 7.5 % annual rate of interest did she invest her money.

What is rate of interest?

The percentage usually on an annual basis that is paid by the borrower to the lender for a loan of money is called rate of interest.

Given

Principal P = $10800

Time t = 4 years

I = 3240

Interest = [tex]\frac{P\times r \times t}{100}[/tex]

[tex]3240 = \frac{10800\times r \times 4}{100}[/tex]

[tex]r= \frac{3240\times 100}{10800\times 4}[/tex]

r = 7.5 %

At 7.5 % annual rate of interest did she invest her money.

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2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14

Answers

Answer:

e) 14

Step-by-step explanation:

(18-n)/2 = 2

18-n = 4

-n = -14

n = 14

The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.

What is Algebra?

The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.

Given:

When a number n is subtracted from 18

=(18- n)

and, the difference is divided by n

=(18 - n)/n

so, result is 2

(18 - n)/n = 2

18 - n = 2n

3n = 18

n= 18/3

n= 6

Hence, the value of n is 6.

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please help i don’t really understand.

Answers

Answer:

It shows that RT and PQ are the same because the are at one point and they are vertically opposite angles

Karma spends two fifth hours every day learning music.how maby hours does she spends learning music in a week?​

Answers

Answer:

17.5

Step-by-step explanation:

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder

Answers

I need a picture of the question

Answer:

C. 640π cubic units

Erik bought a mattress that was marked down 70% from an original price of $500. If the sales tax in Oak Grove is 8%, what was the total cost of the mattress?​

Answers

Answer:

Btw the result are this: 70% = 0.7500 = 0.78% = 0.08 In Oak Grove

Step-by-step explanation:

The total cost of the mattress is $162 after markdown 70%  and sales tax 8%

Given :

Erik bought a mattress that was marked down 70% from an original price of $500

Original price is 500 dollars

marked down that is discount percentage is 70%

Lets find the discount amount using original price

markdown percentage times original price

[tex]discount = \frac{70}{100} \cdot 500=350[/tex]

cost of mattress after discount is 500-350= 150 dollars

sales tax is 8%

now we find the tax amount for 150 dollars

[tex]tax=150 \cdot \frac{8}{100} \\tax = 12[/tex]

tax is 12 dollars

the total cost of the mattress= cost of mattress +tax

the total cost of the mattress=150+12=162

the total cost of the mattress is $162

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20 Points!! Please help me with these, I need them done SOON!! Thanks <3

Answers

Answer:

f(x) = ∣x∣

A.)

f(x) = 3√x

E.)

Fist one is A and second is E

Step-by-step explanation:

Have a nice day! :-)

For f(x) = |x|, the graph is the first picture below. This graph would be the same if you flipped (reflected) the graph over the y-axis.

For f(x) = cuberoot(x), the graph is the second graph below. There’s no way to flip this over either axis to get the same picture back. Instead you’d have to rotate this about the origin a half spin (aka 180º).

hcf of x^2 - y^2 + 4y - 4​

Answers

Answer:

[tex](x - y + 2) \times (x + y - 2)[/tex]

Step-by-step explanation:

[tex] {x}^{2} - {y}^{2} + 4y - 4[/tex]

➡️ [tex] {x}^{2} - ( {y}^{2} - 4y + 4)[/tex]

➡️ [tex] {x}^{2} - (y - 2 {)}^{2} [/tex]

➡️ [tex](x - (y - 2)) \times (x + (y - 2))[/tex]

➡️ [tex](x - y + 2) \times (x + y - 2)[/tex]

3 Five friends shared 8 1/3 pounds of apples equally. How many pounds of apples did each person get?​

Answers

Answer:

a fruit seller buys 712 fruits ,of which 3/4 are apples. of all apples that he bought 1/3 were found to be rotten. if he sold all the good apples at Rs.5 1/4 each.

Find FH? this is 10th-grade geometry

Answers

Answer:

7

plss mark me brainlestt

Step-by-step explanation:

22-15=7

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment FH is 7 units.

What are a line and line segment?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that the length of the line segment HG is 15 units and the length of line segment FG is 22 units.

Since the line segment, FG is made from FH and HG. Therefore, we can write,

FG = FH + HG

22 units = FH + 15 units

FH = 22 units - 15 units

FH = 7 units

Hence, the length of the line segment FH is 7 units.

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tell whether the two fractions form a proportion 3/4 and 16/20

Answers

Answer:

check by cross multiplication

3*20 = 4*14

60 ≠ 56

no does not form a proportion

Step-by-step explanation:

Arrange 7/ 10 , 3/5 , 17/ 20 , 11/ 15 in descending order​

Answers

Answer:

17/20 , 11/15 , 7/10 , 3/5

Factorize:a^2+2ab+b^2-c^2​

Answers

Answer:

(a + b)^2 — c^2

(a+b+c) ( a + b — c )

What is the volume of a crystal in the shape of a pyramid with a base (b) measuring 4 cm and a height (h) of 5 cm?

Answers

Answer:

2 (L+B)

2 (4+5)CM

2×9

18cm

i need help im timed plzz right anwsers only

Answers

Answer:

the second option is correct

Can someone plz help me?

Answers

Answer:

c

Step-by-step explanation:

[tex] \frac{1}{6} mile = 1hour \\ \frac{1}{5} mile = xhour \\ \frac{1}{6} x = \frac{1}{5} \\ x = \frac{1}{6} \div \frac{1}{5} \\ \frac{1 }{6} \times \frac{5}{1} = \frac{6}{5} [/tex]

pls mark brainliest

7−2t≤21 write the solution in

Answers

Answer:

t≥-7

Step-by-step explanation:

7−2t≤21

Subtract 7 from each side

7-7−2t≤21-7

−2t≤14

Divide each side by -2, remember to flip the inequality

-2t/-2 ≥14/-2

t≥-7


The diameter of a regulation soccer ball is about 85 inches. This number was graphed on a number line.
g the graph of the diameter of the ball?

Answers

Answer:

Point D

8 3/5 = 40+3= 43

43÷5 = 8,6

........

Construct 45° by using set square​

Answers

Place 45

set-square and make an angle of 45

by drawing the rays BD and BC

Solve for p.

8 − 4(2p − 2) = 7 + p + 9

p =

Answers

Answer:

p = 0

Step-by-step explanation:

[tex]8 - 4(2p - 2) = 7 + p + 9[/tex]

➡️ [tex]8 - 8p + 8 = 16 + p[/tex]

➡️ [tex]16 - 8p = 16 + p[/tex]

➡️ [tex] - 8p = p[/tex]

➡️ [tex] - 8p - p = 0[/tex]

➡️ [tex] - 9p = 0[/tex]

➡️ [tex]p = 0[/tex]

Which expression has the same value as -5, + (-4)?
Submit Answer
0 -5 8 3 - 4 2 3
O 4; -(-5%)
O 5+(-4)
O-52-(-41)

Answers

First row, the answer on the left , -5 3/4 - 4 2/3

what is the value 36x-8y to the second power when x=3 and y= -6?

Answers

Answer:

If they do , then the values of y yo does not satisfy R ' = 0 , : ' y is ... be an equation of the second degree , - R ' = ( - 3 y ' + 8y - 5y ) x + 2y + + ...

https://www.algebra.com › tutors

Recent problems solved by 'mrduffner' - See tutors' answers!

3. Again combine. +3x+%2B+8=+-x+-+8+ 4. Isolate the variable. +2x+=+-16+ 5. Divide & solve. x+=+-8 ... Y to the second power is just that, y%5E2 .

IT IS ONE

answer is :
When x = 3 and y = -6, the value of 36x - 8y2 is -180

i am not sure but i think its correct

Help me pls i have to finish my homework i have more questions to post too

Answers

Step-by-step explanation:

16)(a²-b)÷6

subtitute a and b above:

={(5)²-1}÷6

=(25-1)÷6

=24÷6

=4

18)y-(4-x-y÷2)

subtitute x and y above:

=2-(4-3-2÷2)

=2-(4-3-1)

=2-(4-4)

=2-0

=2

Note:if you need to ask any question please let me know.

Together, Sala and Terry saved $10.00. Sala. saved D dollars. Write an expression for the amount Terry saved.​

Answers

Let Terry Saved be T dollars .

The Expression will be

[tex]\\ \rm\longmapsto Sala+Terry=\$10.00[/tex]

[tex]\\ \rm\longmapsto D+T=\$10.00[/tex]

Answer:

T = 10 - S

Step-by-step explanation:

The only useful information is that  they saved $10 together. We are just going to add the money Sala and Terry saved to equal 10.

S + T = 10

They want an expression for how much Terry saved so we can solve for T.

T = 10 - S

Best of Luck!

Please help I only have 15 minutes to complete this last one

Answers

Answer:

the slope of MN= -5-1/3-(-6)=-2/3

two lines are parallel>> slopes are equal

equation of line = (y-y'=m(x-x'))

therefore, y-1= -2/3(x-6)

y-1 = -2/3x + 4

y+2/3x=5

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