A wise man once said, "500 reduced by 4 times my age is 188." What is his age?

Answers

Answer 1

Answer:

125

Step-by-step explanation:

Answer 2

Answer:

He Is 78 Years Old.

Step-by-step explanation:

a = age

Solve for a in 500 - 4a = 188.

Simplify 500−4a=188.

500−4a=188

500+−4a=188

−4a+500=188

Subtract 500 from both sides.

−4a+500−500=188−500

-4a = -312

Divide both sides by -4.

[tex]\frac{-4a}{-4} =\frac{-312}{-4}[/tex]

a = 78

Answer:

He Is 78 Years Old.


Related Questions

Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer:Amount of white  paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of  blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of  blue paint used =4/5 x 9.1=7.28 pints

Amount of white  paint used=Amount of  blue paint and white paint to paint her bedroom walls -Amount of  blue paint used

=9.1-7.28=1.82 pints

find the probability of rolling an even sum or a sum less than 9 when a pair of dice are rolled

Answers

Answer:

the probability is 1/12

Step-by-step explanation:

Why is the average approaching 3.5?

Answers

Because since the mean of 1-6 is 3.5, it will eventually stabilize at that point.

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the average approaching 3.5, we need to use the concept of the mean or expected value.

The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.

In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.

Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:

E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5

Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.

Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:

Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232

To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:

Average approaching 3.5 = (Sum of remaining rolls) / n

We know that the total number of rolls is 3200, so the number of remaining rolls is:

n = 3200 - (number of rolls already rolled)

n = 3200 - 3200 = 0

Therefore,

There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.

Learn more about mean here:

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HELP MEEEEEEEEEEEEEEE!

Answers

Answer: go

Step-by-step explanation:

The function r(n) = 5n² + 1 represents the value of the nth term in a sequence.
What is the sum of the 1st and 3rd terms of the sequence?

Answers

Step-by-step explanation:

a_n=5n²+1

➜a_1=5(1)²+1

➜5×1+1

➜5+1

➜6

➜a_3=5(3)²+1

➜5×9+1

➜45+1

➜46

Ryan runs 1.5 miles on his first day of training for a road race. The next day he increases his distance run by 0.3 miles. The day after that increases the distance run by another 0.3 miles and so on. what is the total number of miles Ryan runs over the course of 18 days?

Answers

Answer:

The answer is 72.9 !!!!

Step-by-step explanation:

Trust I'm taking the same test.

Ryan runs a total of 94.5 miles over the course of 18 days.

What is speed?

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

We can approach this problem by using arithmetic progression.

The first term is 1.5 miles, and the common difference is 0.3 miles.

So,

The nth term is given by:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the number of days.

We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:

S18 = (n/2) (a1 + an)

where n is the number of terms and a1 and an are the first and last terms, respectively.

Substituting the values we have:

a1 = 1.5 miles

d = 0.3 miles

n = 18

an = 1.5 + (18-1)0.3 = 6 miles

S18 = (18/2)(1.5 + 6) = 94.5 miles

Therefore,

Ryan runs a total of 94.5 miles over the course of 18 days.

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9. The quotient of n and -4 is 5. What is the
value of n?

Answers

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

Please help ASAP

1.
Three times a number equals 40 more than five times the number what is the number


2.
A number equals four less than three times the number what is the number?

Answers

Answer:

Step-by-step explanation:

PLEASE NO LINKS thank you :)

Answers

Answer:

D

Step-by-step explanation:

Which statement accurately describes the economic characteristics of modern
Texas?


A. Texas has one of the strongest and most diverse economies in the country.

B. Texas has a fairly strong economy, but growth has slowed since 2004.

C. Texas has a stable economy, but lacks industrial diversity.

D. Texas has a strong oil industry, but all other sectors have struggled recently.

Answers

Answer:

D

Step-by-step explanation:

sorry if incorrect

Answer:

The answer is A. Texas has one of the strongest and most diverse economies in the country.

Step-by-step explanation:

Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.

What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?

Answers

The formula for a circle is:

(x-p)^2+(y-q)^2=r^2

The radius is given (r=6), as well as the centre of the circle (-2;3).

"p" and "q" represent the coordinates of the centre of the circle.

So it would look like this -

(x-p)^2+(y-q)^2=r^2

p=x-coordinate (-2)
q=y-coordinate (3)
r=6

(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36

***"^" means "to the power of"

Hope this helped~

Answer:

Solution given:

centre(h,k)=(-2,3)

radius(r)=6 units

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+2)²+(y-3)²=6²

(x+2)²+(y-3)²=36 is required equation of a circle.

Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.

Answers

Answer:

the angle measures are 60 and 30

NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help

Answers

Answer:

6 days

Step-by-step explanation:

The can relatively small... I would just say common sense.

hopefully this helps luv <3

Help how many questions did you answer correctly

Answers

Answer:

450

Step-by-step explanation:

you divide 90 by 20 and times in by 100

answer:
18 questions

step-by-step explanation:
90% of 20 is 18
0.90 • 20 = 18

To make chocolate ice cream, you need about 3/8 pound of chocolate. How many pounds of chocolate will you need to make 4 batches of ice cream?

Answers

Answer:

1.5 pounds. it's simply 3/8 times 4

Answer:

1.5 pounds of chocolate

Step-by-step explanation:

A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.

In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.

[tex]4\cdot \frac{3}{8}[/tex]

[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]

[tex]\frac{3}{2}=1.5[/tex]

We need 1.5 pounds of  chocolate to make 4 batches of ice cream.

Good luck ^^

The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is

Answers

Answer:

3/20

Step-by-step explanation:

Convert (4, 3π/2) to rectangular form.
A) (0,4)
B) (0, -4)
C) (-4,0)
D) (4,0)

Answers

Answer:

(0, -4)

Step-by-step explanation:

The rectangular form is expressed as;

x = rcos theta

y = rsin theta

Given the coordinate  (4, 3π/2)

r = 4

theta = 3π/2

Substitute

x = 4cos3π/2

x = 4cos270

x = 4(0)

x = 0

y= 4sin3π/2

y = 4sin270

y = 4(-1)

y = -4

Hence the required coordinate is (0, -4)

Please help ASAP thank you!

Answers

Answer:

y < 3

Step-by-step explanation:

If you put the equation on a graphing calculator it shows that.

    Please give me BRAINLIEST and THANKS <( ̄︶ ̄)>

Please help me out plz

Answers

Answer:

RX is parallel to ST

Step-by-step explanation:

Answer:

Line RX and line ST are parallel to each other

Step-by-step explanation:

please i need this anwser the teacher is gonna litterly murder me

Answers

Answer:

65 degrees

Step-by-step explanation:

Answer:

1. obtuse angle 105 degrees

2. acute angle  60 degrees

Step-by-step explanation:

BJ purchased five candy bars ($.79 each) three sodas ($.169)each and four bags of chips ($.89 each). What percent of the total order was spent on sodas? 

Answers

Answer:

12.0%

Step-by-step explanation:

Which expressions represent rational numbers? Check all that apply.

Answers

Answer:

The answer is 1.2 or 5

Step-by-step explanation:

Answer:

B,D,E

Step-by-step explanation:

if ur good at graphs come here.

Answers

Answer:

Believe its D

Step-by-step explanation:

Answer:

(-6,-12) let me know if wrong

Step-by-step explanation:

Mark me brainliest plz

I’m so confused help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

s = 8t

Step-by-step explanation:

every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.

Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?

Answers

Everyone will have to play 21 games

The number of games, the friends have to play is an illustration of combination.

They have to play 28 games to ensure that they all play

Given

[tex]n = 8[/tex] --- number of friends

[tex]r = 2[/tex] --- only two friends can play at a time

For everyone else to play, we will make use of the following combination formula;

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

So, we have:

[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]

[tex]^8C_2 = \frac{8!}{6!2!}[/tex]

Expand

[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]

[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]

[tex]^8C_2 = 4 \times 7[/tex]

[tex]^8C_2 = 28[/tex]

Hence, the 8 friends have to play 28 games to ensure that everyone else plays

Read more about combinations at:

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Question b quick 10 points

Answers

Me confused where’s question b????

1. Which of the following is NOT true about a square?

The angles have a sum of 180°.

The diagonals are congruent.

The diagonals are
perpendicular.

The diagonals bisect each other.

Answers

Answer:

the angles have a sum of 180°

Find the Difference: 0.325-0.01

Answers

Answer:

= 0.315

Step-by-step explanation:

hope this helps :)

What is the numerator called in a percent problem? What is the denominator called in a percent problem ?




PLEASE I NEED HELP NOW!!!

Answers

Answer:

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

Step-by-step explanation:

HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP

Answers

Answers:

1a) y=-10/3x+90

1b) 20

1c) -18

2a) 2.8

2b) How much the heights of five basketball players vary from the average height.

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

Explanations:

1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.

1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.

y=-10/3(21)+90 (plug in)

y=-70+90 (simplify by multiplying -10/3 by 21)

y=20 (simplify by adding -70 to 90)

Therefore, we can predict that when x is 21, y is 20.

1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.

150=-10/3x+90 (plug in)

60=-10/3x (subtract 90 from both sides

-18=x (divide both sides by -10/3)

Therefore, we can predict that when y is 150, x is -18.

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

2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:

Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.

Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean.  To do this, we subtract 63 from each number.

65-63=2

58-63=-5

64-63=1

61-63=-2

67-63=4

Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.

Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.

2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.

Hope this helps!

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