Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth
i) How old is Kenneth?
ii) How old is Randy?​

Answers

Answer 1

Answer:

Kenneth: 12 years old

Randy: 48 years old

Step-by-step explanation:

For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.

Equation 1

r=4k

This equation comes from the first part, where Randy is four times as old as Kenneth.

Equation 2

r=36+k

This equation comes from the second part, where Randy is 36 years older than Kenneth.

Since we have r=, we can use substitution method.

4k=36+k                   [subtract both sides by k]

3k=36                       [divide both sides by 3]

k=12

Now that we have found k, we can plug that into any equation to find r.

r=4(12)                      [multiply]

r=48

Now, we know that Randy is 48 years old and Kenneth is 12 years old.


Related Questions

1. Which conditional statement has a true truth value? a. If a shape is a quadrilateral, then it is a square. b. If the sum of two numbers is positive, then both the addends are positive. c. If an angle has a measure of 180 degrees, then it is an acute angle. d. If a figure is a square, then it has four sides.

Answers

Answer:

B I believe

Step-by-step explanation:

Leah scored a total of 18 points in the basketball game, and she scored p points in the second half of the game. Write an expression to determine the number of points she scored in the first half of the game. Then, find the number of points she scored in the first half of the game if she scored 2 points in the second half of the game.

Answers

Answer: 16 points for the first half game

Step-by-step explanation:

1st half = ?

2nd half= p

Total = 18

The expressions to get the score of the 1st game is 18 -p

If she scored 2points in the second half game that means p=2

To get the 1st half of the game you should do 18-2=16

hellpppp!!!!!!!!!!!!​

Answers

What you need help on ?

What is the solution to this equation?
10 - 3x + 8x = 25
O A. x=-3
O B. x = 5
O c. x = -5
D. x = 3

Answers

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

x=3

3a+8 7 anyone know the answer?

Answers

It’s literally 3a plus 87 if you’re asking 3a plus 8 times 7 then it’s 3a plus 56

Answer:

if you put 3a+87 the answer is 3(a+29)... but if u put 3a+ 8/7 the answer is 1/7*(21a+8)

Step-by-step explanation:

Solve the equation 5x+(-2)=6x+4

Answers

Answer:

x = -6

Step-by-step explanation:

Step 1: Write out equation

5x + (-2) = 6x + 4

Step 2: Simplify

5x - 2 = 6x + 4

Step 3: Subtract 5x on both sides

-2 = x + 4

Step 4: Subtract 4 on both sides

-6 = x

Step 5: Rewrite

x = -6

Answer:

x = -6

Step-by-step explanation:

[tex]5x+(-2)=6x+4[/tex]

Open the parenthesis

[tex]+(-2) =-2\\\\5x -2 =6x+4[/tex]

Collect like terms and simplify

[tex]5x-6x =4+2\\-x =6[/tex]

Multiply through by -1

[tex]-1(-x)=-1(6)\\\\x = -6[/tex]

47.469 rounded to the nearest foot

Answers

Answer: 47 ft

Step-by-step explanation:

Please help i will mark you five stars and give you 20 points

Answers

That would be a reflection

Answer:

Reflection

Step-by-step explanation:

PLEASE I NEED THE ANSWER LIKE IN THE NEXT 10 MINS!!!!!

What is f(-2) of the function given below? F(x)=3x^2-4x+1

Answers

Answer: F=(x-1) (3x-1/x =21

Step-by-step explanation: Fx/x=3x^2-4x+1/x

Balloon A is released 5 feet above the ground. Balloon B is released at ground level. Both balloons rise at a constant rate. Which situation can you represent using an equation of the form y = kx? Explain.

Answers

Answer:

The situation of balloon B

Step-by-step explanation:

Balloon A is released 5 feet above the ground and our ground level be 0 feet. Let k be the rate at which it rises and t the time it takes to rise. Its height y, above the ground after time x is y = kt + 5

For Balloon B since it is released at ground level at which ground level is taken as 0 feet, let t be the time it takes to rise above the ground and k the rate at which it rises above the ground. Its height y above the ground after tie x is y = kt

Since the expression for Balloon B is y = kt and the expression for Balloon A is y = kt + 5, only the situation of Balloon B can be expressed in the form y = kx.

This is because the rate of rise of Balloon B follows a direct proportionality while the rate of rise of Balloon follow a joint proportionality since it starts from a point other than ground level.

Geometry Basics Test
A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9

Answers

Answer:

P=40

Step-by-step explanation:

find the distance between each vertices:

between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5

the length of each side of octagon=5

to check :d=√(x2-x1)²+(y2-y1)²

(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5

(1,0) and (1,5)  , d= 5

(1,5) and (-2,9) ,  d=5

(-2,9) and (-7,9) , d=5

(-7,9) and (-10,5) , d=5

(-10,5) and(-10,0) , d=5

(-10,0) and(-7,-4), d= 5

(-7,-4) and (-2,-4), d=5

perimeter of octagon = 8a ( a is the length of the side)

p=8(5)

P=40

Please answer this !I will mark it the brainiest!!

Answers

Answer:

The answer would be B

Step-by-step explanation:

The pre-image is...
What does a pre image mean

Answers

Answer:

i think it means pre image (plural pre images) (mathematics) For a given function, the set of all elements of the domain that are mapped into a given subset of the codomain; (formally) given a function ƒ : X → Y and a subset B ⊆ Y, the set ƒ−1(B) = {x ∈ X : ƒ(x) ∈ B}. The pre image of under the function is the set .

Step-by-step explanation:

Answer:

I forgot what the letter was for this option but The Pre image is a geometric shape BEFORE a transformation occurs ( I think that's option B but u should read it to be sure)

Step-by-step explanation:

Hope this helps I was kinda paying attention

4. Find the range of the relation y = 3x + 1 for the domain -1,0,3).

Answers

Answer:

all is pictured and shown

Please help. P.S show your work Thank you :)

Answers

Answer:

Step-by-step explanation:

10 * 7 - 3 ____ 10 * (7 - 3)

70 - 3 ____ 10 * (7 - 3)

67 ____ 10 * (7 - 3)

67 ____ 10 * 4

67 ____ 40

67 ≠ 40

Answer is ≠

this is because of the order you do a problem.

1. P - paranthesis

2. E - exponents

3. MD - multiplication division (whatever comes first)

4. AS - addition subtraction (whatever comes first)

There are no paranthesis in the first one so you multiply first.

There are paranthesis in the second one so you add first.

That gives you a different answer for each making it unequal.

What number needs to be added to 5 and 3 so that the ratio of the first number to
the second becomes 3:2?

Answers

4 can be added to 5, and 3 can be added to 3. This should then give you a ratio of 9:6, which reduces to 3:2!

37.67 x 70.71 (please show the work) but I need u to explain with numbers ​

Answers

37.67
x
70.71
————
2663.6457
Is that how you want it?

A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?

Answers

Answer:-0.125

Step-by-step explanation:

The average change in water volume is -0.125 liter per day.

At a supermarket, a 6-ounce bottle of
Usalad dressing costs $1.56. A 14-ounce bottle costs $3.36. A 20-ounce
bottle costs $5.60. Which bottle has the lowest cost per ounce?
MP.1

Answers

Answer:

The 14 oz bottle has the lowest cost per ounce.

Step-by-step explanation:

$3.36/14

Use the order of
operations to evaluate
the expression
(-8X14)-(-2X-10)

Answers

Answer:

the order of operations is .called BODMAS rule

B.brackets

O.of

D.division

M.multiplication

A.addition

S.subtraction

Step-by-step explanation:

= (-112)-(20)

= -132

Study the Function
F(x)=4x+9

Evaluate for f(7)

Answers

Answer:

37

Step-by-step explanation:

Step 1:

x = 7

Step 2:

4 ( 7 ) + 9

Step 3:

28 + 9

Answer:

37

Hope This Helps :)

Find the perimeter of the quadrillateral. If x=2, the perimeter is ___ inches.​

Answers

Answer:

129 inches

Step-by-step explanation:

31+4(2²)+8(2)+7(2)+30+3(2²)-5(2)+20=

31+16+16+14+30+12-10+20=

129 inches

Answer:

129 inches

Step-by-step explanation:

got it right on edgenuity

Find the measure of an angle if its measure is 26 degrees more than three times its compliment?
16
141
74
42

Answers

The complement = x

The angle we are finding = 3x + 26

Complementary angles are angles that add up to 90 degrees.

90 = x + 3x + 26

Combine like terms

90 = 4x + 26

Subtract 26 from both sides

64 = 4x

Divide both sides by 4

16 = x

The angle we are trying to find = 3(16) + 26 = 48 + 26 = 74 degrees

solve this please.
[tex]3(m - 5) + 11 = - 85[/tex]

Answers

Answer:

Bro this some alien hyroglyphics

Step-by-step explanation:

Answer:

m = - 27

Step-by-step explanation:

Given

3(m - 5) + 11 = - 85 ← distribute and simplify left side

3m - 15 + 11 = - 85

3m - 4 = - 85 ( add 4 to both sides )

3m = - 81 ( divide both sides by 3 )

m = - 27

Write the expression using a positive exponent 8^-5

Answers

Answer:

1/8^5 is the simplified answer  

Step-by-step explanation:

10. The area of a square lot is 900 square meters. What is the perimeter of the tot, in maters?

Answers

Answer: 9000

Step-by-step explanation:

A submarine that is 245 feet below sea level descends 83 feet and then ascends 103 feet. What is the location of the submarine compared to sea level?

Answers

Answer:

225 feet

Step-by-step explanation:

-245 plus -83 then add 103

please help w qn 3!!

Answers

Answer:

a) 67.8m

b) 36.8m

(both answers rounded off to 3 s.f.)

Step-by-step explanation:

Please see the attached pictures for full solution.

*Instead of rewriting PF to QF +43 in part (a), you could also leave PF as it is and rewrite QF as PF -43 after the line I labelled as equation 2. The working would be about the same, just that you would not need to add 43 again in picture 3 because we would be working with PF. (PF would be factorised out instead)

PLz hurry i really need this okay

Answers

Answer:

Step-by-step explanation:

perfect squares=9,64,49

non perfect squares=24,88,6

A line passes through the points (3,7) and (5,19) Part A: find the slope

Part B: what is a possible equation of a line parallel to the line through (3,7) and (5,19)

Y=mx + b

Answers

Answer:

The slope is 6. For the first line you could do y=6x+7, and the line parallel to that could be y= 6x+3

Step-by-step explanation:

For it to be parallel the slopes have to be the same and the y intercepts (b) have to be different. And I found the slope by doing y-y/x-x

plug in you numbers 19-7/5-3= 12/2 = 6

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