(PLEASE HELPP) The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11, while the number of 5th graders to that of the 6th graders was 13 to 9. By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

Answers

Answer 1

Answer:

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Step-by-step explanation:

I am going to say that:

x is the proportion of 5th graders.

y is the proportion of 6th graders.

z is the proportion of 7th graders.

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11

This means that:

\frac{y}{z} = \frac{4}{11}

z

y

=

11

4

So

11y = 4z11y=4z

y = \frac{4z}{11}y=

11

4z

The number of 5th graders to that of the 6th graders was 13 to 9.

This means that:

\frac{x}{y} = \frac{13}{9}

y

x

=

9

13

9x = 13y9x=13y

x = \frac{13y}{9}x=

9

13y

All of them is 100%

This means that:

x + y + z = 1x+y+z=1

We need to find z.

y = \frac{4z}{11}y=

11

4z

x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=

9

13y

=

9∗11

13∗4z

=

99

52z

Then

x + y + z = 1x+y+z=1

\frac{52z}{99} + \frac{4z}{11} + z = 1

99

52z

+

11

4z

+z=1

The lcm(least common multiple) between 11 and 99 is 99. Then

\frac{52z + 9*4z + 99z}{99} = 1

99

52z+9∗4z+99z

=1

187z = 99187z=99

z = \frac{99}{187}z=

187

99

z = 0.5294z=0.5294

By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

z(7th graders) is 52.94%.

x + y(5th and 6th graders) is 100 - 52.94 = 47.06%

52.94 - 47.06 = 5.88

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.


Related Questions

A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next.

1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m.




2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p.m.




3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p.m.



4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work.

Answers

I know that -40 + 40 would equal a pair of 0. Perhaps it would end at at sea level .

Hope it kind of helped <3

Joe has $150 in his saving account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?

1. y=150+40
2. y=150x+40
3. y=40x+150

Answers

Answer: 3. Y=40x+150.

Answer  y=150+40 it equals $190

Step-by-step explanation:

The manager of a local automobile store wants to conduct a customer satisfaction survey. Who should the manager survey to best find out what he wants to know?

Answers

Answer:

the customers

Step-by-step explanation:

because they are the main target of this survey

Answer: The customer

1. 0.12 x 105=
2. 45.3 x 4=
3. 99.2 x 82=
4. 37 x 0.93=
5. 1.67x 4=
6. 3.2 x 184=
7. 12 x 0.37=
8. 0.904 x 75=

Answers

1)12.6
2) 181.2
3) 8134.4
4) 34.14
5) 6.68
6) 588.8
7) 4.44
8) 67.8
Could of used calculator

How many variables are displayed in a scatterplot?

A. One along the x-axis, and one along the y-axis
B. One along the x-axis, and two along the y-axis
C. Two along the x-axis, and one along the y-axis
D. Tel along the x-axis, and two along the y-axis

Answers

The variables displayed in a scatter plot are: (a) one along the x-axis, and one along the y-axis

The variables of a scatter plot are the quantities whose correlation is being determined

In a scatter plot, they are always two variables.

One is placed on the x-axis, while the other is on the y-axis

Hence, the variables displayed in a scatter plot are: (a) one along the x-axis, and one along the y-axis

Read more about scatter plot at:

https://brainly.com/question/6592115

Identify the slope and y-intercept of the graph y = -1/3x + 6.

2. slope = 6, y-intercept = -1/3

1. slope = -1/3, y-intercept = 6

Answers

Answer:

A.slope = 6, y-intercept = -1/3

Step-by-step explanation:

slope= -1/3 , y-int= 6
y= mx +b
m=slope b=y-intercept

Y = 4x + 9
What is the slope and the y-intercept?

Answers

Answer:

y=4x+9 is in the form y=mx+b , so the slope ( m ) is 4 and the Y-intercept ( b ) is 9

Answer:

m = 4b = 9

Step-by-step explanation:

We know that:

y = mx + by = 4x + 9

If we compare these two equations, we can find the slope and the y-intercept.

=> (y = mx + b) = (y = 4x + 9)

We can clearly see that 'm = 4' and 'b = 9'.

Conclusion:

Therefore:

m = 4b = 9

Hoped this helped.

A. Are the expressions 3(m−2) + 2(m−2) and 5(m−2) equivalent expressions?

B. In two or more complete sentences, justify your answer to A.

Answers

The answer is yes. If you solve both expressions it would be 5m-10.

Answer: yes, this is because when you solve the first equation then your answer will be 5(m-2). You do this by distributing 3 to m & 2 (multiply), then you will distribute 2 to m & 2 (also multiply).

Step-by-step explanation:

(-6,-3) and (-1,x)=13 find the value of A

Answers

Distance between two point can be calculated by the equation:

D=sqrt((x2-x1)^2+(y2-y1)^2)
Then,
13=sqrt((-1-(-6))^2+(x-(-3))^2)
We can square both sides to get rid of the square root,
169=(-5)^2+(x-(-3))^2
169-25=(x-(-3))^2
144 =(x-(-3))^2
By taking the square root in both sides, then
12=x+3
In this case,
X=12-3=9
(-6-3) = -9, (-1,x)=13 : x=-13

A washing machine is filling up with water at a constant rate. The rate is Three-fourths of a gallon in 1 over 5 of a minute. Don calculated the unit rate to be 3 over 20 of a gallon per minute. What did he do wrong?

Answers

Answer:

First, you have to see how many gallons fill in a minute, obviously, so take 3/4 and divide it by 1/5, which gives 15/4. so you can see, don multiplied the two numbers instead of dividing, which is what he did wrong.Step-by-step explanation:

Answer from NukeExplosions1

Answer:

What he did wrong is that he multiplied the denominator wrong. it is supposed to be a 15. Don should re-calculate it to 3 over 15 of a gallon per minute.

hope this helped.

let me know if I am wrong.

have a great day.

PLS HELP URGENT WILL GIVE 25 POINTS AND Brainliest

Answers

Answer:

Ok

Step-by-step explanation:

D.

C.

B.

:)

ok

can u pls brainlyest me

Answered up there .. d c b ^^

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Answers

there are 4 ways she can place it

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Answers

Answer:

1

Step-by-step explanation:

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since the 2 is a bigger no. 1 got the sigh of +

Monica is a car salesperson. She makes a 2.5% commission on each car she sells. Last month, Monica sold three cars. The sale price of each car is shown in the table.

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Enter your answer in the box.

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Answers

What the guy above me said

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No links or unreasonable random answers. Thank you.

Answers

Step-by-step explanation:

A better way to word this is how much more is 4/9 than 2/9 which is 2/9 more because 2/9 plus 2/9 is 4/9 and the denominator stays the same

This equation shows how the money Morristown Middle School spends on workbooks is related to the total number of workbooks they buy.

d = 40t

The variable t represents the number of workbooks bought by the school, and the variable d represents the total cost of those workbooks. How much would it cost Morristown Middle School to buy a total of 2 workbooks?

Answers

Answer:

$80

Step-by-step explanation:

We know that d = 40t and t = number of workbooks bought by the school

Plug in t with 2

d = 40(2)

d = 80

the table shows the number of passengers who flew on airplane flights in or out of one airport. each flight had the same number of passengers. how many passengers were on each night. TOTAL PASSENGERS; 27,000 - NUMBER OF FLIGHTS; 90 - CREW MEMBERS; 900

Answers

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Answer:

I think it would be 300 sorry if im wrong

Step-by-step explanation:

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Answers

Answer:

the range of possible values for x are 1.6<x<9.6

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

x is smaller than four so the range could be 0.1 through 3.9 so the answer is 38 sizes

A 4-column table with 2 rows. Column 1 has entries Spent, Earned. Column 2 is labeled Day 2 with entries 7, 16. Column 3 is labeled Day 3 with entries 12, 22. Column 4 is labeled Day 4 with entries 9, 18.
Juan ran the lemonade stand for 3 more days after his first day profit of $12. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. The table shows how much he spent and earned each day.

What is the expression needed to find his total earnings?


What were his total earnings?

Answers

Answer:

Step-by-step explanation:

Hope this helps.

A: 0.6

B: 0.4

C: 0.2

D: 0.8

Plz mark brainliest :D

Answer:

The answer is C/16 + (–7) + 22 + (–12)

include a step by step explanation pls ty

Answers

the division problem is 7 divided by 15. this can be written as 7/15. to do this, you first know that 15 doesn't go into 7, so you add a decimal point, and make the 7 70. 15 goes into 70 4 times. 15 times 4 is 60. 70-60 is 10. 15 doesn't go into 10, so you add another 0 and bring it down. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. 15 doesn't go into 10, so you bring down another 0. 15 goes into 100 6 times. 15 times 6 is 90. 100-90 is 10. at this point, you can probably guess that the 6 will go on for a while. this means it is repeating. this means your answer is "a".

Dr. McGee saw 1,007 patients this year, which is 90% higher than the number he saw
last year. How many patients did Dr. McGee see last year?


Please help! Will put Brainiest!

Answers

Answer:

107 patients

Step-by-step explanation:

This year Dr. McGee had 1007 patients act like this is 100%. 10% of 1007 is 107 and since there was a 90% increase 107 is the answer

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Answers

95 inches is shorter

Answer:  95 in is shorter

Step-by-step explanation:

there are 12 in in a foot, so in that case you have to divide 95 in by 12. The answer is 7.91666667 but if you round it up you would get 8, which that is = 8ft but without rounding it up you would get 7.9ft which is less than 8ft. so the answer is 95 in is shorter than 8ft

A number line going from 0 to 1. There are 6 equal spaces between 0 and 1. The line contains 0, A, B, blank, C, D, 1.
What fraction is represented by Point A?

Point A is at
.



Which point represents 5
6
?


Point
represents 5
6
.

Answers

Answer:

The number line is divided by 6ths.

Step-by-step explanation:

There are 6 equally sized spaces between 0 and 1 on a number line. By definition of a fraction, a quantity is divided upon a number of equal parts in which can be expressed as the number of parts divided by the total number of parts. Therefore, the numerator in this case will be how many of the 6 parts are there at a certain point; the denominator will be 6, since there are 6 total, equal parts. In this case, think of the fraction as a distance traveled from 0 to 1 in 6 parts; the numerator is how far is traveled, and the denominator is the total travel distance. Point A is located at 1/6, since it is 1 out of the 6 pieces traveled. Point D would be at 5/6 because it has traveled 5 out of the 6 distances.

Point A is at  

✔ 1/6

Point  

✔ D

represents 5

6

Does the following relationship represent a function?

Answers

Answer:

yes

Step-by-step explanation:

Awnser: yes

Step by step explanation:

Please help :) Thanks!

Answers

Answer:

Hi there!!

Since this is a positive slope, so we can use 3/1=3

The slope is 3

The slope is positive so you can use 3/1 witch means the slope of the graph is 3.

Jake plotted an equivalent ratio on the coordinate grid below:



Which of these explains why the point Jake plotted is incorrect?
If the number of cups of raisins is 30, then the number of cups of cereal will be 10.
If the number of cups of cereal is 30, then the number of cups of raisins will be 60.
If the number of cups of cereal is 30, then the number of cups of raisins will be 10.
If the number of cups of raisins is 30, then the number of cups of cereal will be 60.

Answers

Answer:

(A) If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Step-by-step explanation:

i believe it is A please tell me of this is incorrect

Select the locations on the number line to plot the points −17/8 and 13/8.

Answers

Answer: With this information the answer would be GO down twice into the negatives and make you plot point, next go down eleven times and make your plot point, and last go down seventeen times and make your plot point.

Step-by-step explanation: What you have to do is make the number line with a zero at in the middle on the left of the zero you go down into the the negative numbers and on the right you go up into the positive numbers

Step-by-step explanation:

-17/8 < 13/8

Discussion:

≤ Means maximum≥ minimum > means greater than< means less

Which point on the number line represents Negative three-fourths?

A number line going from negative 2 to positive 1 in increments of 1. There are 4 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 0. Point D is 1 mark to the left of 1.
A
B
C
D

Answers

Answer:

A

Step-by-step explanation

i am biggest brain

Which is a solution for x in the equation:
x²=60

A. ²√60

B. ∛60

C. 15

D. 10

Answers

Answer:

wwww

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

to find what x² is you have to square root the answer

720x + 10 = 2170
What is x?

Answers

Answer:

x = 3

Step-by-step explanation:

720x + 10 = 2170

=> 720x = 2160

=> x = 3

Hoped this helped.

Answer:

x = 3

Step-by-step explanation:

First subtract 10 from 2,170 to get 2,160.

Next isolate the x variable by dividing 720 on both sides to get x = 3.

Hope this helps you :)

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