The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
how many adults were there?

Answers

Answer 1

Answer:

Therefore, the number of adults at the football game was 6.

Step-by-step explanation:

Let A represents the number of adults and C represents the number of children.

Therefore, the ratio of children to adults is given as follows:

23:1 = C:A ....................... (1)

Since C = 140, this is substituted into equation (1) as follows:

23:1 = = 140:A ....................... (2)

Transforming equation (2) and solve for A, we have:

23 / (23 + 1) = 140 / (140 + A)

23 / 24 = 140 / (140 + A)

0.958333333333333 = 140 / (140 + A)

0.958333333333333 (140 + A) = 140

(0.958333333333333 * 140) + 0.958333333333333A = 140

134.166666666667 + 0.958333333333333A = 140

0.958333333333333A = 140 -134.166666666667

0.958333333333333A = 5.833333333333

A = 5.833333333333 / 0.958333333333333

A = 6.08695652173878

Rounding to a whole number, we have:

A = 6

Therefore, the number of adults at the football game was 6.


Related Questions

Can someone help me with this? (asap)

Answers

Answer:

so cant help

Step-by-step explanation:

Answer:

43˚

Step-by-step explanation:

As you may know, a triangle angle should always add up to 180˚ so 68˚ and 69˚ added together is 137˚ subtract that by 180 and you will get 43 which is the answer

Hope this helps!

need help please!!!!!!!!!!!!!!

Answers

Answer:

(AD)^2=(AB)^2-(BD)^2

(AD)^2=(15)^2-(12)^2

(AD)^2=225-144

AD=√81

AD=9.

what is the measure of <x​

Answers

Answer:

47

Step-by-step explanation:

180 - 133 = 47

Answer:

The measure of x is 47°

Step-by-step explanation:

180°-133°=47°

What are the zeros for the polynomial, y = 9 (x – 5) (z? – 16) (2 – 7)select all that apply.

5
4
-4
7
9
1

Answers

Answer:

hm

Step-by-step explanation:

m

determine the principle that will earn $200 as simple interest after 8 years at 5% per annum.

Answers

Answer:25

Step-by-step explanation: 200/8=25x5=125

A softball is thrown into the air with an initial velocity of 5 meters per second from a height of 9 meters.

The function below models the distance of the softball from the ground in meters after t seconds.

How many seconds does it take for the softball to hit the ground?


h(t)=4.9t^2+5t+9

Answers

Answer:

0.94secs

Step-by-step explanation:

Given the function below that models the distance of the softball from the ground in meters after t seconds expressed as;

h(t)=-4.9t^2+5t+9

The ball hits the ground when the height h(t) is zero

Substitute h(t) = 0 into the expression and calculate the value of t;

0 = -4.9t²+5t+9

Multiply through by 10;

0 = 49t²+50t+90

-49t²+50t+90 = 0

Factorize;

t = -50 ±√50²-4(49)(90)/2(49)

t = -50±√2500+17640/98

t = -50±√20140/98

t = -50+141.92/98

t = 91.92/98

t = 0.94 secs

Hence it takes 0.94secs for the softball to hit the ground

82 added to a number is the same as 36
20 points
82=36
t+82=36
82+36=x
None of the above

Answers

Answer:

(b) t+82=36

Step-by-step explanation:

When 82 is added to a number the resulting number is the same as 36.

Let t be the number in which 82 is added.

After addition the resulting number = t+82

As the resulting number is the same as 36, so,  

t+82 = 36

Hence option (b) is correct.

PLEASE HELP DUE TODAY 20 POINTS!!!

Answers

Answer:

13/12

Step-by-step explanation:

4/7 divided by 2 1/3

Answers

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7}[/tex] ÷ 2 [tex]\frac{1}{3}[/tex]

First, change 2 [tex]\frac{1}{3}[/tex] into an improper fraction. It will make the solving process a lot easier.

2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex]

So:

[tex]\frac{4}{7}[/tex] ÷ [tex]\frac{7}{3}[/tex]

Now solve by multiplying the reciprocal of [tex]\frac{7}{3}[/tex] which is [tex]\frac{3}{7}[/tex]

So:

[tex]\frac{4}{7}[/tex] × [tex]\frac{3}{7}[/tex] = [tex]\frac{12}{49}[/tex]

The value of 4/7 divided by 2 1/3 as requested in the task content is; 12/49.

What is the value of the expression?

According to the task content, the value of the expression is required.

4/7 ÷ 2 1/3

By fraction conversion, we have;

4/7 ÷ 7/3

= 4/7 × 3/7

= 12/49.

Read more on division;

https://brainly.com/question/1622425

#SPJ2

The distance between two towns is 180 kilometers.
There are approximately 8
kilometers in 5 miles.
Which measurement is closest to the number of miles
between these two towns? (To get full credit show the
proportion and the one step equations)
75 mi
117 mi
113 mi
3 mi

Answers

First off you make the 180 km into miles. The equation for that is: 180 divided by 1.609 = 111.847. So 180 km is 111.847 miles.

Therefore the answer is 113 miles since it is the closest number to 111.847.

what's thee error and the solution ​

Answers

Answer:

They subtracted by 4 not divided (And you spelled the wrong) and answer is

x = 5

Step-by-step explanation:

Answer: the error is the 2nd step. the solution is 5

Step-by-step explanation:

4x-3=17

   +3   +3

4x/4 = 20/4

x=5

                              hope that helps!!!:):)

Estimate.
18,185 +493
Part 1 out of 2
18,185 to the nearest ten thousand is _________.
493 to the nearest hundred is _________.

Answers

Answer:

Estimate.

18,185 + 493 = 20,000 + 500 = 25,000

Step-by-step explanation:

18,185 + 493

18,185 rounded to the nearest ten thousand is 20,000

493 rounded to the nearest hundred is 500

These are the numbers rounded 18185-20000 493-500

Which of the following represents the probability that someone who
works full time has more than $5,000 in credit card debt?
(A) P(full time and credit card debt over $5,000)
(B) P(full time or credit card debt over $5,000)
(C) P(full time credit card debt over $5,000)
(D) P(credit card debt over $5,000 | full time)
(E) P(full time)*P(credit card debt over $5,000)

Answers

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt =  P(full time) × P(credit card debt over $5,000)

PLEASE HELP I WILL GIVE 5 STARS AND HEART I NEED HELP WITH THESE QUESTIONS!!

Answers

Answer:

A relation is...

A set of points that pair input values with output values.

Is the following graph a function?

Yes

Step-by-step explanation:

Hope this helps and have a great day :)

A 2-column table with 3 rows titled Sale Price Calculation. Column 1 has entries Original price, markdown, sale price. Column 2 has entries 12 dollars, 2 dollars and 40 cents, 9 dollars and 60 cents. Which situation is modeled here? an item marked down 20% to $12 an item marked down 12% to $9.60 an item marked down 20% to $9.60 an item marked up 20% from $12

Answers

Answer:

C

Step-by-step explanation:

got it right

Answer:

an item marked down 20% to $9.60

Took it on edge Have a splendid day <3

Solve
3(2x - 5) = 9(10 - x)

Answers

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

First, we need to expand the brackets:

[tex]3(2x-5)=9(10-x)[/tex] (equation given)

[tex]6x-15=90-9x[/tex]

[tex]15x -15 = 90[/tex] (add [tex]9x[/tex] on both sides)

[tex]15x = 105[/tex] (add [tex]15[/tex] on both sides)

[tex]x = 7[/tex] (divide by [tex]15[/tex] on both sides)

Hope this helps :)

who said 17 38? it will help

Answers

Fetty wap said 17 38 in the song 679

A line passes through the point (-6, -8) and has a slope of 3/2
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{3}{2} x+1[/tex]

Step-by-step explanation:

[tex]y=mx+b\\\\-8=\frac{3}{2} (-6)+b\\\\-8=-9+b\\\\b=1\\\\y=\frac{3}{2} x+1[/tex]

The probability of a basketball player making a free throw is 76%. In practice she shoots 10 free throws. What is the probability that he makes 7 free throws?

Answers

Answer:

Probability is 0.243

Step-by-step explanation:

Probability of success p = 76% = 76/100 = 0.76

Probability of failure q = 1 - p = 1-0.76 = 0.24

We can now proceed to use Bernoulli approximation of the Binomial theorem

We have

P( X = 7) = 10 C 7 p^7 q^3

P(X = 7) = 120 * 0.1465 * 0.013824

P(X = 7) = 0.242946203712

This is approximately 0.243

Answer:

0.243

Step-by-step explanation: if you stop to count step by step you will get your answer of 0.243

6x+18y+6z=24, -x-3y-2z=-4, 2x+6y+2z=8

Answers

Answer:

Please check the explanation below.

Step-by-step explanation:

Given the equations

[tex]6x+18y+6z=24,\:-x-3y-2z=-4,\:2x+6y+2z=8\:\:[/tex]

Steps to solve

[tex]\begin{bmatrix}6x+18y+6z=24\\ -x-3y-2z=-4\\ 2x+6y+2z=8\end{bmatrix}[/tex]

[tex]\mathrm{Subsititute\:}x=4-3y-z[/tex]

[tex]\begin{bmatrix}-\left(4-3y-z\right)-3y-2z=-4\\ 2\left(4-3y-z\right)+6y+2z=8\end{bmatrix}[/tex]

As

[tex]-\left(4-3y-z\right)-3y-2z=-4[/tex]

[tex]-z-4=-4[/tex]

and

[tex]2\left(4-3y-z\right)+6y+2z=8[/tex]

[tex]8=8[/tex]

so

[tex]\begin{bmatrix}-z-4=-4\\ 8=8\end{bmatrix}[/tex]

Isolating z for [tex]-z-4=-4[/tex]

[tex]-z-4=-4[/tex]

[tex]-z=0[/tex]

[tex]\frac{-z}{-1}=\frac{0}{-1}[/tex]

[tex]z=0[/tex]

[tex]\mathrm{For\:}x=4-3y-z[/tex]

[tex]\mathrm{Expressing\:}x\mathrm{\:in\:terms\:of\:}y[/tex]

[tex]x=4-3y-0[/tex]

[tex]x=-3y+4[/tex]

Therefore,

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-3y+4,\:z=0[/tex]

a) Write an equation for the line of best fit.
4. The table below shows the number of rabbits
a petting zoo each year since 2008.
Rabbits
Year
2008
14
2009
2010
24
30
b) Estimate the number of rabbits at the farm in
2016.
39
2011
2012
45
57
2013

Answers

Answer:

Step-by-step explanation:

For this equation you want to start with signing the equation for the best line of fit. You’re going to take your year in and your rabbitsFrom the table and you’re going to find the slope in the Y intercept which would be your MX and you’re B. If you used as most you want to pull up a table in the graphing calculator and into your data there when you get there and the next box under your table you’re going to put y1~mx1+b There it will show you your slope and your intercept along with other things you will need to know for the equation when you get here sleeping when you said you’re going to round to the second decimal place and then you should get y=8.2x-16451.3 Which will be your best line of fit. Now when you’re trying to estimate the number rabbit at the farm In 2016 you want to put your year where X is so you’ll input your 2016 where x is and you should get 8.2(2016)-16451.3From there you solve it and you’re around to the second decimal space and there you have your just wanna sit and your estimate

ANSWER ASAP
Which equation represents the linear function that is shown on the graph below?
y = 1/2x + 4
y = 1/2x-2
y= 4x -2
y= -2x +4

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

Brianna is crocheting a scarf as a birthday present for her sister. She started the scarf yesterday and needs to finish it today before her sister's birthday party.
This table shows the relationship between the amount of time (in minutes) Brianna spends crocheting today, x, and the total length of the scarf (in inches), y.
x (minutes) y (inches)
10 19
50 23
60 24
80 26
According to the values in the table, do x and y have a proportional relationship?

Answers

9514 1404 393

Answer:

  no, the relationship is not proportional

Step-by-step explanation:

The table says Brianna crocheted 19 inches in 10 minutes. If the relation were proportional, Brianna would have crocheted 5×19 = 95 inches in 5×10 = 50 minutes. Her actual length is only 23 inches, so length is not proportional to time.

Directions: multiply the whole number and the numerator. Once you find the product divide that by the denominator. 64 divided by 3/8 answer as a mixed number

Answers

Answer:

24

Step-by-step explanation:

Given the direction required to solve the problem :

multiply the whole number and the numerator.

Once you find the product divide that by the denominator

Simplify :

64 divided by 3/8

Multiply 64 by the numerator of the fraction :

64 * 3 = 192

Divude the result by the denominator of the fraction :

192 / 8 = 24

Hence, 64 * 3/8 = 24

your father pushed a 2-kg box across the floor with a net horizontal force of 10 n. what is the acceleration of the box

Answers

Answer:

5 m/s^2

Step-by-step explanation:

Force = mass x acceleration

f = ma

We have the force of 10 N and the mass of 2 kg.

10 N = 2 kg a

divide by 2 on both sides to isolate the a

a = 5 m/s^2

Answer:

[tex]\boxed {\boxed {\sf a= 5 \ m/s^2}}[/tex]

Step-by-step explanation:

The formula for force is:

[tex]F=m*a[/tex]

If we rearrange the formula for acceleration (a) and divide both sides by m we get:

[tex]\frac{F}{m}=a[/tex]

The net force is 10 Newtons. Let's convert the units to make the problem easier later on.

1 Newton=1 kg*m/s²The net force of 10 Newtons is equal to 10 kg*m/s²

The mass is 2 kilograms.

[tex]F=10 \ kg*m/s^2\\m= 2 \ kg[/tex]

Substitute the values into the formula.

[tex]\frac{10 \ kg*m/s^2}{2 \ kg} =a[/tex]

Divide. Note the kilograms (kg) will cancel each other out (this is why we converted the units)

[tex]\frac{10 \ m/s^2}{2}=a[/tex]

[tex]5 \ m/s^2=a[/tex]

The acceleration of the box is 5 meters per second squared.

Can someone help me with this fast please?
Thank You

Answers

Answer: 3/10

Step-by-step explanation:

2/7= 20/70

3/10= 21/70

Sunny’s Surf Shop sold 300 surfboards this week, which was 150 percent of the number of surfboards sold last week. How many surfboards did Sunny’s Surf Shop sell last week? *

Answers

200 surfboards were sold last week

Answer:

B IS THE ANWSER

Step-by-step explanation:

.

Can someone help please ?

Answers

Answer:

The answer is D.

Answer:

i did this in Algebra 1

it's D.

Step-by-step explanation:

:)))

Help please i have to do this for attendance

Answers

Answer:

The actual answer is C

Step-by-step explanation:

Find the equation of the exponential function represented by the table below:

Answers

Answer:

The equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

Step-by-step explanation:

We know the equation of exponential function such as

[tex]f(x) = ab^{x}[/tex]

Put x=0, and y=2 in the function

[tex]2 = ab^{0}[/tex]

[tex]2 = a[/tex]

Also x=1, and y=8 in the function

[tex]8 = 2b^{1}[/tex]

[tex]b=4[/tex]

Thus,

[tex]f(x) = ab^{x}[/tex]

        [tex]= 2(4)^{x}[/tex]

Therefore, the equation of the exponential function represented by the table will be:

[tex]f(x)= 2(4)^{x}[/tex]

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