A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night. Tara claims that 35:55,45:80,and 20:65 are possible ratios from this date. Jim claims that 35:100,45:100,and 20:100 are possible ratios from this date. Who is correct? Explain

Answers

Answer 1

Answer:

Jim is correct

Step-by-step explanation:

A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night.

People who exercise in the morning = 35

= 35/100 = 7/20

Hence, the ratio is 35:100

People who exercise in the afternoon = 45 = 45/100 = 9/20

the ratio is 45:100

People who exercise at night = 20

= 20/100 = 1/5

= The ratio is 20:100

The possible ratios from this date are : 35:100,45:100,and 20:100

Jim is correct


Related Questions

We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.

Answers

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?

Answers

Answer:

8/5-12x

Step-by-step explanation:

-4(-2/5+3x)

Multiply each term inside the parentheses by -4

-4 * -2/5 + -4 * 3x

8/5-12x

Answer:

-1.6+12x

Step-by-step explanation:

First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x

The product of a number x minus 5 and three less than twice x

Answers

Answer:

(x-5)(2x-3)

Step-by-step explanation:

key words:

product = multiplication

minus - subraction

x-5

and = first phrase times next phrase

less than = a number minus the number before the 'less than'

twice = 2 times a number

if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).

i hope this helped :))

URGENT! 10 points
Solve for x then find DE

Answers

Answer:

14

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x+7+7=4x+2 simplify

set up proportion and solve ​

Answers

Answer:

A.

Step-by-step explanation:

The Answer is A

On a certain​ planet, Continent X has an area of 6.23*10^6 square miles and Continent Y has an area of​ 63,600,000 square miles. How many times larger is Continent Y than Continent​ X?

Answers

Answer:

Step-by-step explanation:

Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So your answer would be 10.

I hope that helps

Answer:

Step-by-step explanation:Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So, your answer would be 10 I would have done it this way too not trying to copy(:

calcule o perímetro de uma circunferência de raio igual a 15 cm​

Answers

Resposta:

94,24 cm

Explicação passo-a-passo:

Vamos por partes.

Primeiro descobrimos o diâmetro que é igual a 2 vezes o raio:

D = 2 x raio

D = 30cm

Agora a fórmula da circunferência C = π x D

C = 3,1416 x 30

C = 94,24 cm

espero que esto ayude!

que tengas un gran día!

tener un maravilloso fin de semana!

tener un maravilloso fin de semana! :) :D :3

Can someone please
Help w this?

Answers

Answer: The top one is x>=0 or x<3
The Middle one is x>-2 or x<2

What is an equation for the line that passes through (6,-5) and (-8,16)

Answers

Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

please help this is very urgent!!! :((((

Answers

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

7 is the correct answer

What equation is graphed in this figure?

y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)​

Answers

Answer:

y - 5 = 3(x - 1)

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (0, 2) and (1, 5) is,

m = [tex]\frac{5-2}{1-0}[/tex] = 3

Now equation of the line passing through a point (1, 5) and slope = 3 will be,

y - 5 = 3(x - 1)

Option (4) is the answer.

Answer:

y−5=3(x−1)

Step-by-step explanation:


Select the vector along which a translation of the plane would map point A to its image T (A).

Answers

Answer:MN

Step-by-step explanation:

I just did it lol

The vector  [tex]\vec {MN}[/tex] that would map point A to its image T (A).

What is a vector?

A vector is a quantity that possesses magnitude, direction, and adheres to the law of vector addition.

Given:

Two vectors [tex]\vec {PQ}[/tex] and [tex]\vec {MN}[/tex].

To map point A to its image T (A):

The translated map would be,

[tex]\vec {MN}[/tex].

Therefore,  [tex]\vec {MN}[/tex] is the vector.

To learn more about the vectors;

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An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000

Answers

Answer:33,325,000

Step-by-step explanation:95,976,000÷2.88=33,325,000

The product of a number and is 3 Find the number.
Your answer​

Answers

the product of

-3 and -11/9 is 3(2/3)

Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine

Answers

Answer:

i don't know, i just want to know if you got it right

Step-by-step explanation:

The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Mr. Jones and Mr. Smith both plan to retire in 5 years.

From the formula:

The rate of interest is the same for both cases.

The duration for Mr. Jones is 20 years

The Initial investment amount for Mr. Jones = $250

The duration for Mr. Smith is 10 years

The initial investment amount for Mr. Smith = $500

Mr. Jones will have more money because he invested for a longer period of time.

Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

Learn more about compound interest here:

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can someone find the x for -3x + 1 = 169

Answers

Answer:

x = -56

Step-by-step explanation:

-3x + 1 = 169

      -1       -1

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

-3x = 168

Divide both sides by -3. 168/-3 = -56

x = -56

Answer:

Your answer is: x = -56

Step-by-step explanation:

Hope this helped : )

Please help!!!!!!!!!!!
Find the measure of the exterior angle

Answers

Answer:

Im not sure but go with 24

c) 42°

exterior angle = sum of its opposite interior angles

Which means :-

[tex]x + 21 + 63 = 3x[/tex]

[tex]21 + 63 = 3x - x[/tex]

[tex]21 + 63 = 2x[/tex]

[tex]84 = 2x[/tex]

[tex]2x = 84[/tex]

[tex]x = 84 \div 2[/tex]

[tex]x = 42°[/tex]

Therefore , the correct option is :-

c) 42°

The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?

Answers

There are 36 basketballs. 3/5 would be equal to x/60. X is the amount of basketballs. 5 is multiplied by 12 to get to 60. 3 multiplied by 12 is 36. So 36 basketballs

What is the QUOTIENT of 16.8 and 4.4 ?

Answers

Answer:

3.81

Step-by-step explanation:

The answer is 3.18 I think

What is the slope of the line through (-1,8) and (3,-4) ?

Answers

Answer:

m  = −3

Step-by-step explanation:

Use the slope formula to find the slope  m .

what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?​

Answers

Answer:

what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver

Answer:

Step-by-step explanation:

On the 2nd equation, turn the slope the -3x. This creates two parralel lines.

Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.

How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …

3 mph


Please help!!!!

Answers

Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

If T is the midpoint of SU what are ST, TU, and SU?

Answers

Answer:

x=7, SU=63, TU=63, SU=126

Step-by-step explanation:

The mid point of SU is T meaning, ST=TU

we find value of x as 7.

replace x by 7 and find the value of given lines.

Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation

Answers

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?​

Answers

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).

Answers

Answer:

185

Step-by-step explanation:

distance formula is d=√((x_2-x_1)²+(y_2-y_1)²

so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]

where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]

[tex](-3-5)^{2} =64[/tex]

[tex](7+4)^{2} =121[/tex]

64+121= 185

Hope this helps...sorry if i'm wrong.

ASAP ,HELP ME PLS
Find the slope given these points:
(2,-4) & (3,1)
A. 5
B. -3
C. 3
D. -5

Answers

Answer:

A.

Step-by-step explanation:

PROBLEM 1
Peter has many socks, all the same except that they are in three different colours. He is leaving to catch an early train to go on a business trip, and he does not want to wake his wife, so he packs in the
dark. He needs eleven pairs of socks, each sock in each pair the same colour. How many socks must he take from his drawer to be sure of achieving this?

Answers

Answer:

24 socks

Step-by-step explanation:

The given parameters are;

The number of different colors of socks = 3

Therefore, we have the worst case, the first three socks are different colors, since there are three different colors, the fourth socks is first pair in the worst case scenario

After which, every other two socks makes a pair in the worst case process, the number of socks he must take to make sure he has eleven pairs are given by the pairing table

Number of socks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Number of pairs 0 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11

Therefore, he must take 24 socks to make sue he has 11 pairs of the same color.

idkkk what it is I accidentally pressed a

Answers

It’s A. You can just add 3 to buy sides to end up with 4x > 8 and then divide by 2

The inequality will be x ≥ 2.

What is an inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given is an inequality, 4x - 3 ≥ 5,

We need to solve for x,

4x - 3 ≥ 5

Add 3 to both sides,

4x - 3 + 3 ≥ 5 + 3

4x ≥ 8

Divide the inequality by 4,

4x / 4 ≥ 8 / 4

x ≥ 2

Hence the inequality will be x ≥ 2.

Learn more about inequality click;

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At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days

Answers

Answer:

48s plus 12p - 18

Step-by-step explanation:

Answer:

Add 48 + 12 and Subtract the sum from 18 (14+12-18)

Step-by-step explanation:

Sorry if I'm confusing you ;(

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