(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

Marissa is biking with friends. Their distance traveled can be determined by the equation D = 13h, where D is the distance, in miles, and h is the number of hours spent biking. Identify the constant of proportionality.

Answers

Answer:

The 13 would be the constant.

Step-by-step explanation:

Find the slope of the line through each pair of points.
1. (6, −18) and (15, −18)
2. (8, 12) and (0, 16)
3. (−15, 37) and (−15, 2)
4. (1 ,20) and (−5, 30)
5. (4, −36) and (8, −12
6. (11, −23) and (7, −15)
7. (−72, 54) and (−38, 100)
I will give Brainliest and 100 points

Answers

Answer:

1. 0, 2. -1/2, 3.undefined, 4. -5/3, 5. 6, 6. -2, 7. 23/17

Step-by-step explanation:

y2 - y1 / x2 - x1

1. -18 - -18 / 15 - 6 = 0

2. 16 - 12 / 0 - 8 = -4/8 = -1/2

3. 37 - 2 / -15 - -15 is undefined (can't have 0 as denominator)

4. 30 - 20 / -5 - 1 = 10 / -6 = -5/3

5. -36 - -12 / 4 - 8 = -24 / -4 = 6

6. - 23 - -15 / 11 - 7 = -8 / 4 = -2

7. 100 - 54 / -38 - -72 = 46 / 34 = 23/17

give me the right answer please i will give u half of my points i have 320 pleaseee im in a test rn

Answers

y=1/2x-2 that’s a type of answer!
Y=1/2x-2 that’s the answer I think.

I need assistance with this

Answers

Answer is 1 1/2 and -1 1/5

How you write a inequality and then graph the answer?

Answers

Answer:

To write an inequality, you need to write a number on the number line, and to graph it, you need to write another inequality and figure out what the answer is.

hope this helped.

PLease help me dont answer if u dont know

Answers

Answer:

[tex]a_n=-8+(n-1)-7[/tex]

Step-by-step explanation:

General arithmetic sequence formula: [tex]a_n=a_1+(n-1)d[/tex]

where [tex]a_1[/tex] = first term, and d = common difference.

The first term is -8

And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.

To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula

General formula: [tex]a_n=a_1+(n-1)d[/tex]

We have [tex]a_1=-8[/tex] and d = -7

So the formula to find the nth term would be

[tex]a_n=-8+(n-1)-7[/tex]

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

Which properties to evaluate 7/5 (1/4 divided by 7/4) (-10)

Answers

Answer:

-2

Step-by-step explanation:

1. Cancel the common factor

What is the length, in units, of the line segment with endpoints at (1, 4) and (3, 7)?
A. √137

B. √15

C. √5

D. √13

Answers

What is the length, in units, of the line segment with endpoints at (1,4) and (3,7) C.

Answer:

The answer is  √13

Step-by-step explanation:

Find the missing values in the ratio table. Then write the equivalent ratios. People 6 18 Benches 3 12 a The equivalent ratios are 6 : 3, : 12, and 18 : . Skip to navigation

Answers

The missing values in the ratio table are;

⇒ 6 : 3 , 24 : 12, and 18 : 9

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Peoples = 6 ,   18

Benches = 3, 12

Now,

The equivalent ratios are;

⇒ 6 : 3 , x : 12 , 18 : y

Find the values of x and y as;

Since, All the ratio are equivalent.

So, we get;

⇒ 6 : 3 = x : 12

⇒ 6 / 3 = x / 12

⇒ 6 × 12 / 3 = x

⇒ x = 24

And, ⇒ 6 : 3 = 18 : y

⇒ 6 / 3 = 18 / y

⇒ 6 × y = 18 × 3

⇒ y = 18 × 3 / 6

⇒ y = 9

Thus, The missing values in the ratio table are;

⇒ 6 : 3 , 24 : 12, and 18 : 9

Learn more about the ratio visit:

https://brainly.com/question/25927869

#SPJ5

Please help! This is due tomorrow!

Answers

[tex]\left(\dfrac 14 x -7 \right) - \left(\dfrac 34 x - 5 \right)\\\\\\=\dfrac 14 x -7 - \dfrac 34 x +5\\\\\\=x\left(\dfrac 14 - \dfrac 34 \right) -2\\\\\\=- x\left(\dfrac 24 \right) -2\\\\\\=-\dfrac 12 x -2[/tex]

Answer:

-1/2x-2

Step-by-step explanation:

Distribute the negative sign from the right side to make the equation positive

1/4x - 7 + (-1)(3/4x) + (-1)(-5)

(basically multiplying -1 to 3/4x and -5 to eliminate it)

1/4x - 7 + -3/4x+ 5

Make the equation similar

(1/4x + -3/4x) + (-7 + 5)

combine like terms

1/4x + -3/4x = -2/4x --> Simplifies to -1/2x

Do the other integers

-7 + 5 = -2

Put it together

-1/2x-2

Chris went to the store to buy some sports equipment. His mother had given him $30.00 to spend, and Chris took some of his own money along. He bought shin guards for $15.00, 2 pair of soccer socks for $7.99 each and a mini-soccer ball for $9.99. How much of his own money did he need to use?

Answers

Answer:

10.97

Step-by-step explanation:

Add 15, 7.99, 7.99, and 9.99. Then subtract 30 witch = 10.97

I got you!
It’s 10.97

Help please with these solutions

Answers

Answer:

a

Step-by-step explanation:

just needed the points, sorry

Answer:
1.a
2.b
3.c
4.d

can someone tell me what this is


6% OF 56% X 60% X 40%

Answers

Answer:

Step-by-step explanation:

6% of 56 is 10.71

6% of 60 is 10

6% of 15

hopefully this answers your question

6% of 56 is 10.71

6% of 60 is 10

6% of 15

After this, I think you may want to multiply 10.71, 10, and 15. Unless you were trying to separate all the numbers. If you weren't, its 1606.5!

what is the solution to the inequality: -2x>30

Answers

Answer: any neative number thats -16 and up

for example -16, -17,-18 etc

Step-by-step explanation:

Your answer for that inequality would be..

x < -15

Trust me this is the correct answer.

Can you please help me?

Answers

The correct answer should be 192.
3(8)^2=3x64

The measure of an angle is 3.3°. What is the measure of its supplementary angle?

Answers

Answer: The supplement of an angle is 60 less than 3 times the measure of the complement.

Step-by-step explanation:

a supplementary angle is thrice as much as the complementary angle.

Not sure but hope it helped :)

Kimi brought chocolate and vanilla cupcakes to school for her birthday. 2 students picked a vanilla cupcake and 18 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?

Answers

10% is your answer. Take the total number of students and use that as a divisor of 100 so 100/20 = 5% so each kid represents 5 percent. Then if you take the 2 kids who got vanilla cup cakes and if each one is 5% then 5%+5%= 10%

Answer: 10% of students picked a vanilla cupcake.

Explanation: 18 + 2 = 20. 20 is 100% of 20. 20/10 = 2, and 2 is 10% of 20, therefore 10% of students picked a vanilla cupcake.

a house can be painted in 5 days by ৪ workers. how long will it take for 12 workers to paint the same house

Answers

2 days maybe hope it helps.

Answer: 5 days I think. :)

Step-by-step explanation:

PLS HELP IM GONNA FAIL MATH
How long does it takes to walk around a circular pond that has a radius of 48 meters?

Answers

Answer:

This circumference of the pond is 2πr (or 2π48), which equals 301.44m(assumine pi is 3.14). How long it takes to walk around depends on the rate of speed.

What is the speed?? Or does it not matter?

PLEASE SOLVE THIS!!!
6-3y+(-8y)+5.3

Answers

-11y+11.3

Combine like terms… -3y-8y=-11y
6+5.3=11.3

Answer:

11.3 - 11y

Step-by-step explanation:

remove parenthesis: 6 - 3y - 8y + 5.3

collect all the like term: 11.3 -11y

RectangleA′B′C′D′ is the image of rectangleABCD after a dilation.

What is the scale factor of the dilation?

Answers

The length of the side of the original is 3 units.

The length of the side of the smaller one is 1.5

Scale = 1/2

The lenth of the side units are 3

What is the distance between the points? Round to the nearest tenth if necessary.

Answers

Answer:

10/4

Step-by-step explanation:

rise over run

10/4 hope this helped <3

Two stores opened on the same day. Both stores has 75 customers by the end of the first week. Store A's customers doubled each week for six weeks. Store B's customers increased by 200 each week for six weeks. Which store had more customers at the end of week 5?

A. Store A
B. Store B
C. They had the same amount of customers
D. Not enough information

Answers

Answer:

Store A

Step-by-step explanation:

Week 1 - Store A had 75 and Store B had 75

Week 2 - Store A had 150 and Store B had 275

Week 3 - Store A had 300 and Store B had 475

Week 4 - Store A had 600 and Store B had 675

Week 5 - Store A had 1200 and Store B had 875

A.Store A is the correct answer

I need help plz. You have to write an equation from the graph, you either multiply, divide, add or subtract

Answers

4-3x=1

Hope this helps!! :)
answer is 4-3x=1.
this is the equation

The y axis is _____________
horizontal
vertical
diagona

Answers

Answer:

It is a vertical line.

Step-by-step explanation:

See below attached picture. The purple line represents the y-axis.

Hoped this helped.

[tex]GeniusUser[/tex]

i need help i will give 19 po.ints

Answers

-5 7/10

How?

13 4/5

8 1/10

you need similar denominators.

13 4/5 x 2 = 13 8/10

13 8/10 + ? = 8 1/10

8 1/10 + 5 7/10 = 13 4/5

(5 7/10 turned negative bc its below sea level and your technically adding.)

MAY BE INCORRECT!

Answer:

5 7/10

Step-by-step explanation:

you would need to subtract 13 4/5 - 8 1/10 t get positive 5 7/10

(i got this right o my test)

what is 9/14 x 2 1/3!!!!

Answers

The answer is 11
Explaination:
9/14 multiple both numbers by 3=27/42
Break 2 1/3 into 2 and 1/3
1/3 multiple both numbers but 14=14/42
27/42 x 14/42 keep number on the bottom the same
27x14= 378
Divide 378/42=9
Add the 2 from 2 1/3 to the nine
2+9=11
1 1/2 is the answer I’m not sure what else to say but I have to have a limit

i will give brainly if you’re right and if you explain

Answers

[tex]area \: of \: circle = \pi \times {r}^{2} \\ area \: of \: circle = 9\pi \times ft {}^{2} \\ 9\pi \times ft {}^{2} = \pi \times {r}^{2} \\ = r = \sqrt{\ 9 pi \times \: ft {}^{2} } \\ r = 3ft[/tex]

plzz help me this is my last chance

Answers

Answer:

C. This is the answer because it doesn't have to be answered.

Answer:

B

Step-by-step explanation:

B is a question that doesn't need an answer, but is used to make the reader think.

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