Twenty years ago, Mike was four times as old as John. Four years from now mike will be twice as old as John let x represent Mike's age and y represent Johns age. Helppp! I need an equation in either standard or slope-intercept form! WILL GIVE BRAINLIEST!

Answers

Answer 1

Answer:

Mike is 68 and John is 32

Step-by-step explanation:

Set equations as follows

20 years ago

Mike was four times as old as John:

x - 20 = 4(y - 20)

Four years from now

Mike will be twice as old as John:

x + 4 = 2(y + 4)

Simplify each equation

x - 20 = 4y - 80 ⇒ x = 4y - 60x + 4 = 2y + 8    ⇒ x = 2y + 4

Solve for y by substitution

4y - 60 = 2y + 44y - 2y = 60 + 42y = 64y = 32

Find the value of x

x = 2*32 + 4 ⇒ x = 68

I hope you can convert the above equations into required format. Let me know if not.


Related Questions

Mathematics pls help 4 questions will give brain to best answer
What is the mean for the data set, to the nearest whole number?

Answers

Answer:

[1] 8

[2] 10

[3] 8.5

[4] 8

Step-by-step explanation:

[1] What is the mode of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8

Explanation: Mode = Appears Most

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[2] How many people were in the sample?

Answer = 10

Explanation:

Each x = 1 person

Hence, it a total of 10 "x" (10 People)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[3] What is the median of the data set?

5,8,8,8,8,9,9,9,10,10

Answer = 8.5

Explanation:

Median = Middle

5,8,8,8,8,9,9,9,10,10

5,8,8,8,8,9,9,9,10,10

8 + 9 = 17/2 = 8.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[4]  What is the mean for the data set, to the nearest whole number?

Answer = 8

Explanation:

Mean = Add up all data values to get the sum and Count the number of values in your data set. Divide the sum by the count

5 + 8 + 8 +8 + 8 + 9 + 9 + 9 + 10 + 10 = 84/10=8.4

8.4 Round = 8

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~Lenvy

Help picture below problem 16

Answers

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    [tex]?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2[/tex]

Thus the missing side length is 13.2 cm

Hope that helps!

i am confused please help

Answers

Answer:

volume = lenght x width x height

v= 12x20x14

v=3,360 in³

3⋅2t
a. Evaluate the expression when t is 1.

b. Evaluate the expression when t is 4.



pls hurry its due in 5 mins

Answers

Answer:

Step-by-step explanation:

a) substitute t = 1 in the expression

3 - 2t = 3- 2*1

          = 3 - 2

          = 1

b) substitute t = 4 in the expression

3 - 2t = 3 - 2*4

         = 3 - 8

         = (-5)

Find the distance between the two points rounding to the nearest tenth (if necessary). (-8,-6) and (-3,-4)

Answers

Answer:

9.8

Step-by-step explanation:

The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4

Y -3 - 6 = -9

d=√(4)²+(9)²

d=√(16 + 81)

d=√97

d = 9.8488578018 or 9.8

Help picture below problem 11

Answers

Answer:

128° is the correct answer...

Step-by-step explanation:

mark me brainliest

give an equation for the graph

Answers

x = -4
y = 1

that’s my closest guess

Answer:

y = -4

x = 1

Step-by-step explanation:

soo you could memorize if you want that if its a vertical line it will be x = __

or if its a horizontal line is y = ___

but i like doing ummm so when you look at the first line nothing changes to y, so y wil be always -4 . its the same for the vertical line, the x stays the same.

1: The number of hours, h, spent studying and the score s, on a test (find the independent variable and the dependent variable.

Answers

Answer:

independent - number of hours (h)

dependent - the score (s)

Step-by-step explanation:

helphelphelphelphelphelphelphelphelphelphelphelphelphelphelp

Answers

It would be the first one

Answer:

Its mass or size.

The amount possessed by an object directly upon the square of the speed. It increases the kinetic energy.

Elise is in a challenge with her gym class to run a total of 200 miles in one
school year. In the first month she ran 18 miles. If she wants to split the
remaining amount of miles over the
next seven months, how many miles will
she run each month?
Show your work.

Answers

Total : 200 miles
1 month ran : 18 miles
Raking miles left :182
Remaining months :7
182/7 = 26
So she should run a total of 26 miles per month

La integral indefinida de la función h(x)=2x+5x4

Answers

Answer:

x^2 + x^5 + C.

Step-by-step explanation:

∫2x + 5x^4 dx

= 2 * x^2/2 + 5 * x^5/5  + C

= x^2 + x^5 + C.

If you can run a mile in 7 minutes, how fast are you running?

Answers

You are running 8.5 mph

The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.

Answers

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

Answer:

answer is -4 and 4 ):(

Step-by-step explanation:

Which function grows at the fastest rate for increasing values of x?

g(x) = 10x + 15

f(x) = 2•3^x

h(x) = 5x^2 + x + 10

Answers

Answer:

The answer is g(x) = 10x + 15

Step-by-step explanation:

Given;g(x) = 10x + 15 f(x) = 2•3ˣ 5x² + x + 10To Find;function grows at the fastest rate for increasing values of x.

Here, If we assume the value of x is 1 we get,

g(x) = 10x + 15

g(1) = 10(1) + 15

g(1) = 10 + 15

g(1) = 35

Here, We get the answer 35.

Now,

f(x) = 2•3ˣ

f(1) = 2•3¹

f(1) = 2•3

f(1) = 6

Here, We get the answer 6.

Now,

h(1) = 5x² + x + 10

h(1) = 5(1)² + 1 + 10

h(1) = + 5 + 1 + 10

h(1) = + 16

Thus, The answer is g(x) = 10x + 15.

-TheUnknownScientist 72

Which values from the set {-8, -6, -2, 0, 2, 4, 8} satisfy the following inequality?

Answers

he was never late negative to affirmative

Help please anybody?

Answers

Answer:

.................

216cm^2

Step-by-step explanation:

brainliest please

zeros.
Find a polynomial of the specified degree that has the given
Degree 5; zeros -4, -3, 0, 4,3

Answers

Answer:

f(x)=x(x+4)(x+3)(x-4)(x-3)

Step-by-step explanation:

hello :

an  polynomial is : f(x)=(x+4)(x+3)(x-0)(x-4)(x-3)

means : f(x)=x(x+4)(x+3)(x-4)(x-3)

Write an essay comparing the two arguments made about whether dodgyball should be played in school. Use textual evidence from the article to support your answer. TITLE- A Dodgy call AUTHOR Tum Jones Introduction Hook- Bridge-​

Answers

Answer:

(This is not math)

Step-by-step explanation:

I think that dodgeball should be allowed un our school because it gets our legs moving and lets us extrasice and practice our swiftness

Which of the following terms describes the 3 in the expression 3x+7?

Answers

It's Coeficent

,.,.,..,.,

Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not at all important” and a rating of 10 means “very important.” Here is a dot plot of their responses. Explain why a rating of 6 is not a good description of the center of this data set.

Answers

Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

What is a dot plot?

A dot plot is a graph shows the number of times each measure appears in the data-set.

From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

More can be learned about dot plots at https://brainly.com/question/24912483

You can run at a speed of 6 mph and swim at a speed of 3 mph and are located on the shore, 5 miles east of an island that is 1 mile north of the shoreline. How far (in mi) should you run west to minimize the time needed to reach the island

Answers

Answer:

I think I should run 5miles

a) Work out
41/7 + 1 1/2

Answers

Answer:

11 5/4

Step-by-step explanation:

make the denominator the same then add.the common factor of 2 and 7 is 14 so make all the denominator to 14 then u can add.thus having the answer

the length of a rectagle is twice its width. if the perimeter of the rectangle is 36in, find its length and width

Answers

Answer:

6*2=12

if length is 12 half it would be 36

Answer:

width = 6in

length = 12in

Step-by-step explanation:

If we call the width x, the length has to be 2x and so...

x + 2x + x + 2x = 36 (this can be simplified to ↓)

6x = 36 (if you divide both sides by 6...)

x = 6

This means that the width of the rectangle is 6in and so the length is 12in.

Hope this helps!

Please I need your help

Answers

diameter and radius and find product

Divya spends all of her free time playing with her building blocks. She owns building block sets with 333 pieces, 555 pieces, and 101010 pieces. Divya knows she owns 555 sets with 555 pieces and 222 sets with 101010 pieces. She also knows that she averages 555 pieces per set. This information is summarized in the table below

Answers

Answer:

  5 sets

Step-by-step explanation:

The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.

Let x represent the number of 3-piece sets. Then the total number of pieces is ...

  3x +5(5) +10(2) = 3x +45

The total number of sets is ...

  x +5 +2 = x +7

We want the ratio of these numbers to be 5 pieces per set:

  (3x +45)/(x +7) = 5

  3x +45 = 5x +35 . . . . . multiply by (x+7)

  10 = 2x . . . . . . . . . . subtract (3x+35)

  5 = x . . . . . . . . . divide by 2

Divya owns 5 sets with 3 pieces.

_____

Alternate solution

Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.

Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.

Altogether, the differences from average must total zero.

All changes saved 16. The Abdul family is comparing the costs of two different high-speed Internet services. With plan A, equipment installation is $199, and the monthly fee is $50. With plan B, the installation is $50, with a $90 monthly fee. The cost of Part A is given by f(x) = 50x + 199 and the cost of Part B is given by g(x) = 90x + 50, where x is the number of months of service.
Part A: Make two tables that you could use to graph the functions. Let x = 0, 1, 2, 3, 4, 5, and 6.
Part B: Graph both functions.
Part C: The Abduls plan on using the Internet service for one year. Based on cost, which plan would you recommend? Explain.​

Answers

For one year, plan B would be recommended, because it would be cheaper.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of plan A is given by f(x) = 50x + 199 and the cost of plan B is given by g(x) = 90x + 50

For one year, plan B would be recommended, because it would be cheaper.

Find out more on equation at: https://brainly.com/question/2972832

Answer: Plan A

Step-by-step explanation:

f(x) = 50x + 199 = A

g(x) = 90x + 50 = B

Plan A = (1,249) (2, 299) (3,349) (4,399) (5,449) (6,499)

Plan B = (1, 140) (2, 230) (3, 320) (4,410) (5, 500) (6, 590)

Plan A would be recommended because plan A you pay the least amount = 499 dollars over 6 months versus 590 dollars over 6 months with plan B.  

find GCF of 40 and 120​

Answers

Answer:

Hi there!

Find the GCF of 40 and 120

The GCF of 40 and 120 is 40

40 ÷ 40 = 1

120 ÷ 40 = 3

Hope its help!

What is the mean of the data set?

21.2, 15.3, 20.5, 16.8, 30.2

Question 1 options:

19.2


20.8


21.5

Answers

Answer:

B. 20.8 (second option)

Step-by-step explanation:

The mean is calculated by adding up their values, and then dividing them into elements of a set.

All of them should first be added together.

21.2+15.3+20.5+16.8+30.2

Solve.

[tex]\sf{21.2+15.3+20.5+16.8+30.2=104}[/tex]

The sum of the data set is 104.

The number of terms in the data set is n=5.

Therefore, the mean of the data set is 20.8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

7 3/5 - 6 3/5
Pls help i can't do dis math

Answers

Step-by-step explanation:

[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]

Now convert into lowest term

[tex] \frac{1}{1} [/tex]

1/1 is the answer ....

Two companies provide home Internet services.
The first company charges a one-time fee of $55 for the equipment, plus $30 per month for the service.
The second company charges a one-time fee of $25 for the equipment, plus $45 per month for the service.
In how many months will the services of the two companies cost the same?

Answers

Answer:

2 months

Step-by-step explanation:

55+30x=25+45x

55-25=45x-30x

30=15x

x=2

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