need help with this question.​

Need Help With This Question.

Answers

Answer 1

Answer:

12 and 93.

Step-by-step explanation:

Let the grandsons age be x then Mr. Roger's age = 8x - 3.

Five years ago the grandson's age was x-5 and Mr Rogers was 8x - 8 years old , so:

8x - 8 - (x - 5) = 81

8x - 8 - x + 5 = 81

7x = 81 + 8 - 5 = 84

x = 12.

So the grandson is 12 and Mt Rogers is  8*12 - 3 = 93.


Related Questions

LINEAR Equations HELP ASAP

Answers

Answer: D) -4/3

Step-by-step explanation:

Slop can be represented as [tex]\frac{rise}{run}[/tex].  This equation rises -24 units then runs 18.  Thus, the slope is -24/18, or -4/3.

Hope it helps <3

Answer:

-4/3.

Step-by-step explanation:

To get the slope, you do the rise over the run.

In this case, the rise is going to be -24, since the track is falling. The run will be 18.

-24 / 18 = -12 / 9 = -4/3

Hope this helps!

Solve for x. Please help

Answers

Answer:

x = 37/45

Step-by-step explanation:

Here's how similar triangles work. We set up an equation as SIDE 1A/ SIDE 1B = SIDE 2A/ SIDE 2B

Ok, so these 2 triangles are similar, so we can set up a butterfly equation:

Side 1a would be 8x

Side 1b would be 5x +3

Side 2a would be 10x - 2

Side 2b would be 7x

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

Our equation would be

8x/(5x+3) = (10x-2)/7x

We cross multiply to get 8x(10x-2) = 7x(5x+3)

Instead of solving and getting squares, we can x on both sides and we get:

8(10x - 2) = 7(5x+3) ----> we simplify to get

80x - 16 = 35x + 21 ----> it's easy sailing from here.

45x = 37

x = 37/45

gosh i hope it's right...

b(1)=16 b(n)=b(n−1)+1 ​ Find the 2 term in the sequence.

Answers

Answer:

B (1)

Step-by-step explanation:

John used digits from 0 to 6 to create a three-digit PIN code. He forgot his PIN code. He remembers that his code contains different ascending digits. What is the maximum number of combinations John has to check to find his PIN code.

Answers

Answer:

35 combinations

Step-by-step explanation:

The first digit cannot be 5 or 6 (Since the digits could not be in ascending order if that was the case).

If the first digit is 4, there is 1 possibility:

(4, 5, 6)

If the first digit is 3, there are 3 possibilities:

(3, 4, 5) (3, 4, 6) (3, 5, 6)

If the first digit is 2, there are 6 possibilities:

(2, 3, 4) (2, 3, 5) (2, 3, 6) (2, 4, 5) (2, 4, 6) (2, 5, 6)

If the first digit is 1, there are 10 possibilities :

(1, 2, 3) (1, 2, 4) (1, 2, 5) (1, 2, 6) (1, 3, 4) (1, 3, 5) (1, 3, 6) (1, 4, 5) (1, 4, 6) (1, 5, 6)

If the first digit is 0, there are 15 possibilities:

(0, 1, 2) (0, 1, 3) (0, 1, 4) (0, 1, 5) (0, 1, 6) (0, 2, 3) (0, 2, 4) (0, 2, 5) (0, 2, 6) (0, 3, 4) (0, 3, 5) (0, 3, 6) (0, 4, 5) (0, 4, 6) (0, 5, 6)

Therefore, he would need to try at most 35 combinations.

1+1(I want to give points back so i am doing this).Pay it Forward

Answers

Answer:

2

Step-by-step explanation:

thanks! i will do it too!

****PLEASE HELP BRAINLIEST IF ANSWERED****
What is the sum of the measures of the interior angles of a 9-gon? *
1800 degrees
360 degrees
1260 degrees
720 degrees​

Answers

Answer:

its 1260°.

as by the formulae,

(n-2)×180°

we get,

sum of interior angle =(9-2)×180°

=1260°.....is anwer.

V-100 = ? + ?i NEED HELP

Answers

Answer: V+100

Step-by-step explanation: If your trying to get 0 then there is your answer

Answer:

 V-100 = 0 + 10i

so 0 and 10

Step-by-step explanation:

Use the Distributive Property to multiply. –5(2x – 5)\

Answers

Answer:

-10x +25

Step-by-step explanation:

–5(2x – 5)

Distribute

-5 * 2x - (-5) * 5

-10x +25

Answer:

-10x + 25

Step-by-step explanation:

-5(2x - 5)

Distribute the expression

-5(2x) + 5(5)

Multiply

-10x + 25

The expression cannot be simplified further

Hope this helps :)

the value of x is: 12. 6. 2. None of the choices are correct.

Answers

Answer:

x=6

Step-by-step explanation:

The triangle is an equilateral triangle since all angles are 60 degrees

That means all sides are equal

3x-13 = x-1

Subtract x from each side

3x-13-x = x-1-x

2x-13 =-1

Add 13 to each side

2x= -1+13

2x = 12

Divide by 2

2x/2 =12/2

x = 6

Answer:

B. 6

Step-by-step explanation:

Two angles are 60 degrees, the other is also 60 degrees.

The triangle is an equilateral triangle.

All sides are equal.

3x - 13 = x - 1

3x - x = -1 + 13

2x = 12

x = 6

Find the product. (a2)(2a3)(a2 – 8a + 9) 2a7 – 16a6 + 18a5 2a7 – 16a6 – 18a5 2a8 – 16a7 + 18a6 2a12 – 16a7 + 18a6

Answers

Answer:

2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Step-by-step explanation:

Given

(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors

= 2[tex]a^{5}[/tex] (a² - 8a + 9) ← distribute the parenthesis by 2[tex]a^{5}[/tex]

= 2[tex]a^{7}[/tex] - 16[tex]a^{6}[/tex] + 18[tex]a^{5}[/tex]

Answer:

A. 2a^7-16a^6+18a^5

Step-by-step explanation:

on edge 2020

Which functions have a vertex with a x-value of 0? Select three options.
f(x) = |x|
f(x) = |x|+ 3
f(x) = |x + 3|
f(x) = |xl - 6
f(x) = |x + 3|-6

Answers

Answer:

Hello!

________________________

(A) f(x) = |x|.

(B) f(x) = |x| + 3.

(D) f(x) = |x| - 6.

Would be correct!

Hope this helped you!

The functions that have a vertex with a x-value of 0 are:

f(x) = |x|

f(x) = |x|+ 3

f(x) = |xl - 6

An absolute value function is of the form:

f(x) = a|x - h| + k

where (h, k) represents the vertex

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex

Comparing each of the options with f(x) = a|x - h| + k, the following absolute value functions have a vertex with x-value of 0.

f(x)  =  |x|

f(x) = |x|  +  3

f(x) = |x|  -  6

Learn more here: https://brainly.com/question/11212326

Select the equivalent expression. Thanks :)

Answers

Answer:

b

Step-by-step explanation:

(y^3 * 2^5)^2

3x2=6

5x2=10

y6x2^10

Using this distribution, find the probability
that a teenager has 4 or more pairs of shoes
in their closet.

Answers

Answer:

P = 0.3

Step-by-step explanation:

Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet

When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes

In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved

So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes

From the table that would be; 0.1 + 0.2 = 0.3

Work out the area of this circle.

Take it to be 3.142 and give your answer to 1 decimal place.

4 cm

Answers

Answer:

[tex]50.3cm^2[/tex]

→Step-by-step explanation:

Well the formula for the area of a circle is [tex]\pi r^2[/tex].

→Given information

Pi is 3.142

radius is 4 cm

answer must be rounded to the nearest tenth

____________________________________________________________

So now we have to plug in the given information into the following formula [tex]\pi r^2[/tex].

(3.142)(4)^2

So now we have to solve this formula using PEMDAS.

So 4 squared is 16 and 16*3.142 is 50.272cm^2.

The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.

__________________I do hope this helps!__________________________

please help me answer this

Answers

Answer:

Train was late by 13 minutes.

Step-by-step explanation:

Time train took to travel = 290 miles / 50 mph

= 5.8 h

= 5h 48 min.

Time train left = 10:10 am

Time of arrival

= 10:10 + 5:48

= 15:58 pm

= 3:58 pm

Scheduled time of arrival

= 3:45 pm

Train arrived late by

3:58 - 3:45

= 0:13

= 13 minutes.

The midpoint of XY is M(0, 4). One endpoint is X(6, –2). Find the coordinate of the other endpoint Y. A.(–6, 10) B.(3, 1) C.(–6, 6) D.(12, 0)

Answers

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula for midpoint is :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

So you have to subtitute the coordinates into the formula :

[tex]let \: m = (0,4) \\ let \: (x1,y1) = (6, - 2)[/tex]

[tex](0,4) = ( \frac{6 + x2}{2} , \frac{ - 2 + y2}{2} )[/tex]

Next, you have to solve it by comparison :

[tex]x⇒ \\ \frac{6 + x}{2} = 0 \\ 6 + x = 0 \\ x = - 6[/tex]

[tex]y⇒ \\ \frac{ - 2 + y}{2} = 4 \\ - 2 + y = 8 \\ y = 10[/tex]

I will GIVE U Braniest! Which expressions can we use to describe the number of seconds it takes Mr. Golv to complete his jiu-jitsu drill 7 times? Choose 2 answers: (Choice A) 7(K+G) (Choice B) 2K+5G (Choice C) 7(5G-2K) (Choice D) 7(5G+2K) (Choice E) 14K+35G

Answers

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G

Answer:

Option D and E

Step-by-step explanation:

Time for guard passes = 5G

Time for kimura arm locks = 2K

Altogether:

=> 5G+2K

If he does 7 times:

=> 7(5G+2K)

Simplified form:

=> 14K+35G


What is the value of
P(X = 2 or X = 0)

Enter your answer in the box

Answers

Answer:

0.4

Step-by-step explanation:

Answer: 0.4

Step-by-step explanation:

An auditorium has its length, breadth, and height equal to 18m. How much air does it contain? An average adult person requires approximately 0.3 cu.M air per hour. The owner of auditorium organizes a concert there. But he limits the duration of concert 3 hours and allows only 6480 tickets to be sold. Why has the owner taken this decision?

Answers

Answer:

The volume of air in the auditorium = 5832 cubic meter

Step-by-step explanation:

Length, breadth, and height of the auditorium = 18m

Therefore, the volume of air in the auditorium

[tex]=18 \times 18 \times 18\\=5832 $ cubic meter[/tex]

An average adult person requires approximately 0.3 cu.M air per hour.

Therefore:

6480 adult person will require: 0.3 X 6480 = 1944 cu.M air per hour.

For three hours:

6480 adult person will require: = 1944 X 3 =5832 cubic meter of air

We notice that the volume of air in the room will be exhausted exactly after 3 hours when 6480 persons attend.

Therefore, the owner has taken this decision to avoid suffocation as an increase in the number of tickets or hours will cause such.

What's the difference?

Answers

Answer:

first one is the right one

Step-by-step explanation:

A ladder is used to scale a 13 foot wall. If the angle of elevation from the ground to the top of the wall has
to be 36 degrees, how tall must the ladder be?

Answers

Answer:

22.12feet

Step-by-step explanation:

the ladder becomes your hypotenuse,the wall is the height,this forms a right angled triangle and the angle of elevation forms at the base,use sine which is opposite over hypotenuse to get your answer

Study the diagram of circle K, where JL¯¯¯¯¯¯¯ and LM¯¯¯¯¯¯¯¯¯ are tangent to circle K at points J and M, respectively. Also, JL=3x+10 and ML=7x−6. What is the length of LM¯¯¯¯¯¯¯¯¯?
22
17.6
16
4

Answers

Answer:

22

Step-by-step explanation:

The answer is 22. You solve the equation 3x+10=7x-6 like so

3x+10=7x-6

-3     = -3

    10= 4x-6

   +6  =       +6

     16=4x

      x=4

You then plug in the value of x to the equation for LM.

7x-6 becomes 7*4-6 which is 22.

What is the area of the trapezoid below

Answers

The formula for the area of a trapezoid is:

(a+b) • h / 2

Where a and b are the lengths of the parallel sides.

Therefore 7 + 19 = 26 • 10 (h) = 260 / 2 = 130

So area is 130

Answer:

[tex]\boxed{Area = 130 units^2}[/tex]

Step-by-step explanation:

Area of trapezoid = [tex]\frac{a+b}{2} h[/tex]

Where a = 7, b = 19 and h = 10

Area = [tex]\frac{7+19}{2} (10)[/tex]

Area = (26)(5)

Area = 130 units²

factorising can someone plz helpw itht the last one than you

Answers

Answer:

3x^2(3+x)

Step-by-step explanation:

Answer: 3x^2(3+1)

Because it is divisible by 3 and x^2

PLZ HELP This is due today and if I don’t finish I fail

Answers

Answer:

The solution ( 12,6) is correct, Lizette's solution

Answer:

[tex]x=12,\:y=6[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\frac{2}{3}x+3y=26\\ 2x+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\frac{2}{3}x+3y=26[/tex]

[tex]\frac{2}{3}x+3y-3y=26-3y[/tex]

[tex]\frac{2}{3}x=26-3y[/tex]

[tex]3\cdot \frac{2}{3}x=3\cdot \:26-3\cdot \:3y[/tex]

[tex]2x=78-9y[/tex]

[tex]\frac{2x}{2}=\frac{78}{2}-\frac{9y}{2}[/tex]

[tex]x=\frac{78-9y}{2}[/tex]

[tex]\begin{bmatrix}2\cdot \frac{78-9y}{2}+\frac{1}{2}y=27\end{bmatrix}[/tex]

[tex]\begin{bmatrix}78-\frac{17}{2}y=27\end{bmatrix}[/tex]

[tex]78-\frac{17}{2}y=27[/tex]

[tex]78-\frac{17}{2}y-78=27-78[/tex]

[tex]-\frac{17}{2}y=-51[/tex]

[tex]2\left(-\frac{17}{2}y\right)=2\left(-51\right)[/tex]

[tex]-17y=-102[/tex]

[tex]\frac{-17y}{-17}=\frac{-102}{-17}[/tex]

[tex]y=6[/tex]

[tex]x=\frac{78-9\cdot \:6}{2}[/tex]

[tex]x=12[/tex]

[tex]x=12,\:y=6[/tex]

john asked 60 people there favourite fruit

Answers

Answer:

45

Step-by-step explanation:

it only has 15 people as liking pears so if you already have a angle of 60 for apples that is you solution

Find the dependent and independent variable in r = 5s + 3.

Answers

Answer:

The independent variable is s and the dependent variable is r

Step-by-step explanation:

r = 5s+3

The independent variable is s and the dependent variable is r

The diagram shows two straight lines. Work out the value of x

Answers

Answer:

136

Step-by-step explanation:

Answer:

136°

Step-by-step explanation:

The angle opposite of x and x are a pair of vertically opposite angles.

Vertically opposite angles are equal in size.

Lapid.
(ii) Find the remainder when f(x) is
divided by (x - 1)(x + 2).
14) The remainder when the expression
ax' + bx + 2x + c is divided by x-1
is twice of that when it is divided by
x + 1. Show that c = 3a - b + 6.

Answers

ii) When a polynomial f(x) is divided by (x-1) and (x+2) it leaves remainder 5 and 17 respectively. find the remainder when f(x) is divided by (x-1) (x+2)

14) The remainder when the expression  ax³ + bx² + 2x + c is divided by x-1

is twice of that when it is divided by  x + 1. Show that c = 3a - b + 6.

Answer:

ii) R(x) = -4x + 9

14) c = 3a - b + 6 ( Proved)

Step-by-step explanation:

14) The correct expression is [tex]ax^3 + bx^2 + 2x + c[/tex]

To get the remainder when the expression  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by

x - 1, let x - 1 = 0; x = 1

Remainder:

[tex]R_1(x) = a(1)^3 + b(1)^2 + 2(1) + c\\R_1(x) = a + b + 2 + c[/tex]

When  [tex]ax^3 + bx^2 + 2x + c[/tex] is divided by x + 1

Let x + 1 = 0; x = -1

Remainder:

[tex]R_2(x) = a(-1)^3 + b(-1)^2 + 2(-1) + c\\R_1(x) = -a + b - 2 + c[/tex]

According to the question, R₁(x) = 2R₂(x)

a + b + 2 + c = 2(-a + b - 2 + c)

a + 2a +b - 2b + 2 + 4 = 2c - c

c = 3a - b + 6 ( Proved)

ii)

The dividend is f(x)

(x - 1)(x + 2) is the divisor, i.e. D(x) = (x - 1)(x + 2)

Let the quotient = A(x)

Let the Remainder, R(x) = ax + b..............(1)

Therefore, f(x)  = A(x)D(x) + R(x)

f(x) = A(x)(x - 1)(x + 2) + R(x)...................(2)

When f(x) is divided by x - 1, x = 1

Put x = 1 into equation (2) knowing that R(1) = 5

f(1) = R(1) = 5

R(1) = a(1) + b = 5

a + b = 5....................(3)

When f(x) is divided by x + 2, x = -2

Put x = -2 into equation (2) knowing that R(-2) = 17

f(-2) = R(-2) = 17

R(-2) = a(-2) + b = 17

-2a + b = 17..................(4)

Subtracting equation (1) from (2)

-3a = 12

a = -12/3

a = -4

Substitute the value of "a" into equation (4)

-2(-4) + b = 17

8 + b = 17

b = 9

Since R(x) = ax + b

R(x) = -4x + 9

Let E=3, B=7 and A=4. Find the other digits in the sum BASE+BALL=GAMES

Answers

Given :   E=3, B=7 AND A=4  BASE +  BALL = GAMES

To find :   Other Digits  S , L G M

Solution:

 BASE

 BALL

GAMES

  74S3

  74LL

G 4M3S

if L = 0  then S = 3  but E = 3 ( hence not possible)

=> only possible solution

 3 + L = S

 & S + L  = 13

=> S + S - 3 = 13

=> S = 8

=> L = 5

  7483

  7455

 14938

L = 5

S = 8

M = 9

G = 1

Other Questions
You have just returned from a marketing convention in Boston and need to write a report detailing the event. What should you include in the report? A) A summary of 10 to 20 points that will benefit the reader B) A set of minor topic headings C) A closing that expresses appreciation D) An exact date, name, and location E) A summary of three to five main points that will benefit the reader Recall that when a reaction is at equilibrium, the forward and reverse reactions occur at the same rate. To illustrate this idea, consider the reaction of A (small, red spheres) and B (large, blue spheres) to form AB. A+B ABNotice that the reaction never stops. Even after several minutes, there is A and B left unreacted, and the forward and reverse reactions continue to occur. Also note that amounts of each species (i.e., their concentrations) stay the same. Required:What is the value of the equilibrium constant for this reaction? Assume each atom or molecule represents a 1 M concentration of that substance. you get a hangover many hours after drinking excessivily because summarize articles 4-6 of the constitution A certain radioactive element has a half life of 8694 years. How much of a 8.30 g sample is left after 8323 years In the Solow model, in the absence of any shock, the capital stock remains at some level forever. This rest point is called the Group of answer choices Steady state Saving rate Short-run equilibrium Rate of capital accumulation A gun has a muzzle speed of 90 meters per second. What angle of elevation should be used to hit an object 150 meters away? Neglect air resistance and use g=9.8m/sec2 as the acceleration of gravity. A hard drive disk rotates at 7200 rpm. The disk has a diameter of 5.1 in (13 cm). What is the speed of a point 6.0 cm from the center axle A broker moves his office without telling the FREC where he is moving. Two weeks later, a seller comes in and lists his property. The property sells, but the seller is most unhappy with the way the broker performed. The seller refuses to pay a commission to the broker. Can the seller do this? You bought a 18-year, 7.2% semi-annual coupon bond today and the current market rate of return is 7.8%. The bond is callable in 6 years with a $1,099 call premium. What price did you pay for your bond Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B? which is not an equation of the line going through (3, -6) and (1,2) What are the total operating expenses? (This is line (c) on the income statement.)This is a fill in the blank. insert four irrational numbers between 3 root 2 and 2 root 3 The frequency of purple pollen cones is 0.34 in a population of Virginia pine (Pinus virginiana). In the same population, the frequency of four needles per fascicle is 0.67. If these two traits are independent, what is the probability that a single pine tree has both purple pollen cones and four needles per fascicle? (calculate to 2 decimals) are the two triangles below similar The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers. Prepare journal entries for each of the following. For a compound transaction, if an amount box does not require an entry, leave it blank. a. Issued a check to establish a petty cash fund of $500. b. The amount of cash in the petty cash fund is $160. Issued a check to replenish the fund, based on the following summary of petty cash receipts: store supplies, $199 and miscellaneous selling expense, $126. Record any missing funds in the cash short and over account. For a compound transaction, if an amount box does not require an entry, leave it blank. Need help with this as soon as possible. Calculate the volume of this cylinder, giving your answer to one decimal place. I will give brainliest