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

please help me on this

Answers

Answer:

12x+10

Step-by-step explanation:

Add up the lengths of all sides to find the perimeter

P = x + 2( x+5) + 6(x-1) + 3(x+2)

Distribute

  = x + 2x+10 +6x-6 + 3x+6

Combine like terms

 =x+ 2x+ 6x+3x    + 10 -6+6

 = 12x+10

i’m really stuck on this one if you can help i’d really appreciate it

Answers

you're correct. its to take out the greatest common factor.

you wrote the correct answer! great job

You are creating identical coupon booklets to sell for a fundraiser. You have 40 dry-cleaning coupons, 24 coupons for a local restaurant, and 31 movie theater coupons. 5b) You find one additional movie theater coupon. What is the greatest number of identical coupon booklets you can make?

Answers

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

267.94

Step-by-step explanation:

V=4/3(pi)r^2

V=4/3(3.14)8^2

V=4/3(3.14)64

V=4/3(200.96)

V=267.94

Answer:

2144.7 m^3

Step-by-step explanation:

6v²-19v-36

College Prep Math

Answers

(3v+4)(2v-9) is there anything specific like favorite for grouping ?

help me find p=
325+7=332

Answers

Answer:

p = 332

Step-by-step explanation:

(ANSWER FOR POINTS AND BRAINLEST!!!) Identify the scale factor in the image below.
1.) 2
2.) 1/2
3.) 3/2
4.) 2/3

Answers

Answer:

it should be 3/2  !

I think it’s 3/2 (3)

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!

what is 19.2 x 10^9 minutes in hours ANSWER ASAP PLSS

Answers

Answer:

19200000000

Step-by-step explanation:

1000000000 is 10^9. Then that times 19.2 is 19200000000.

(Hope this helped and have a great day)

(please mark this brainliest)

Express your answer as a polynomial in standard form. f(x)= f(x)= \,\,3x^2+6x+5 3x 2 +6x+5 g(x)= g(x)= \,\,-x+3 −x+3 \text{Find: }f(g(x)) Find: f(g(x))

Answers

The value of f(g(x)) is,  [tex]f(g(x))=3x^{2} -24x+50[/tex]

Composition of function:

The given function are,

             [tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]

We have to find [tex]f(g(x))[/tex].

             [tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]

Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]

Learn more about the Polynomials here:

https://brainly.com/question/2833285

if you're driving 30 miles per hour how many hours does it take to drive 60 miles?​

Answers

Answer:2 hours

Step-by-step explanation:

Can someone help me with this question? Thanks if you do!

Answers

Here’s the answer, hope this helps :)

PLEASE HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

can someone please help me i don’t understand it

Answers

Answer:

d= bv + r

Treat it like you would a normal equation. Multiply by b and add r to isolate d.

intergers: -6+3 plz help me and plz show how you figured it out i can’t

Answers

Answer:

-3

this diagram might help you ( ◜‿◝ )♡

Answer:

Question : -6 + 3 =?

Answer : -3

Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?

Answers

Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

Whoever answers first is brainliest

Answers

Answer:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B)

Step-by-step explanation:

f(x)+x^2+7 Find X if f(x)=23

Answers

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

Solve and show your work. Plz :)

Answers

Answer:

Step-by-step explanation:

4[6(2+3)] _____ 125 - 5 * 1

4[6(5)] _____ 125 - 5 * 1

4[30] _____ 125 - 5 * 1

120 _____ 125 - 5 * 1

120 _____ 125 - 6

120 _____ 119

120 ≠ 119

Answer:

119.9

Step-by-step explanation:

2x – 10 = 1/2(x – 8)

Answers

Answer:

X= 4

Step-by-step explanation:

Answer: x=4


Simplify 1/2(x-8) to x-8/2

Multiply both sides by 2

Add 20 to both sides

Simplify x-8+20 to x+12

Subtract x from both sides

Simplify 4x-x to 3x

Divide both sides by 3

Simplify 12/3 to 4

Tell whether (-3, 3) is a solution of the system.​

Answers

yes; to figure this out just plug the x,y values into the equation and make sure they come out true
it does work! all the systems add up to be true

Solve the equation for the variable.

[tex] - 5.2x + 57.9 = 15.9 + 1.8x[/tex]
x = [?]​

Answers

Answer:

x = 6

Step-by-step explanation:

Given

- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )

- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )

- 7x = - 42 ( divide both sides by - 7 )

x = 6

Solve for n.
F=9/5(n-67)

Answers

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides
9/5 F + 67 = N

Hope this helped

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides

9/5 F + 67 = N

Hope this helped

While sitting in class you overheard one of your classmates say, "This equation has infinite solutions, because when I put it in Desmos it gave me parallel lines so I know it makes a conditional equation." Realizing that the student is incorrect, what would you say to help your classmate get their facts straight?

Answers

Answer:

See below

Step-by-step explanation:

The systems of linear equations represent two lines.

There are 3 possible outcomes with two lines on the plane.

1. Lines intersect

In this case there is one solution, which is the point of intersection.

2. Lines are parallel

In this case the lines never intersect, so there is no solution

2. Lines are same

In this case the lines overlap, so there are infinitely many solutions.

(2,2), (-3,3) find the distance between the two points round to the nearest tenth.​

Answers

Answer :

[tex]d = \sqrt{26} [/tex]

The answer is Square root 26

Evaluate: the product of 4 and 7*

Answers

Answer:

28

Step-by-step explanation:

4 x 7 = 28

Hope this helps you :)

Find (f•g)(-4) if f(x)= 3x +6 and g(x)=3x+6.

Answers

Answer:

-12

Step-by-step explanation:

(f·g)(-4) = f(g(-4))

g(-4) = 3(-4)+6

g(-4) = -12 + 6

g(-4) = -6

f(g(-4)) = f(-6) = 3(-6) +6

f(g(-4)) = -18 + 6

f(g(-4)) = -12

If mTUV = 9x + 1, and mTUW = 7x - 9, and mWUV = (5x-11), find the value of x

Answers

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

Find the x and y intercepts of the graph of the function

Answers

Answer:

y intercepts= 0       x intercepts= none

nation:

The 2 funtions above the x axis do not intercept with the y-axis or the x-axis. They just hover above it, but never atcually touch it.

The function bellow the x-axis only intercepts the y-axis at 0,0

The x and y intercepts of the graph of the function are x=none and y=-1 respectively.

From the given figure we need to find the x and y intercepts of the function.

What is x and y intercepts of the function?

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

From the graph, we can see two curves running on x-axis.

The curve crosses the y-axis at y=-1.

Therefore, the x and y intercepts of the graph of the function are x=none and y=-1 respectively.

To learn more about the x and y intercepts visit:

https://brainly.com/question/14180189.

#SPJ5

Its the same dropdown for every question, what is the answer for each one

Answers

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

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