In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?

a 4 + 3p ≤ 40
b 4 + 3p ≥ 40
c 4p + 3 ≥ 40
d 4p + 3 ≤ 40

Answers

Answer 1

Answer:

b 4 + 3p ≥ 40

Step-by-step explanation:

he needs more than 40 points, so we need to pick and answer with a greater than or equal to sign that faces the side with Glenn's points. This leaves b or c for our answers. Glenn played 3 different rounds in which he scored a value represented by the variable p. Additionally, he scored a value of 4 points is given. Therefore, because he scored p in 3 different rounds, p is multiplied by 3 to make 3p. So, 4+3p≥ 40 (answer b) is correct

Answer 2

Answer:

b 4 + 3p ≥ 40

Step-by-step explanation:


Related Questions

Please help! I'm like 3 months behind and am trying to crunch in some school, please be fast!!!!

Answers

Answer:

the second option from the top is correct. (the one with the dot on -4)

Step-by-step explanation:

d/-2 + 5 = 7

d/-2 = 7 - 5

d/-2 = 2

d = 2 * -2

d = -4

Answer:

Option 2, d = -4

Step-by-step explanation:

d/-2 + 5 = 7 (subtract 5 from both sides)

d/-2 = 2 (multiply by -2 to both sides)

d = -4

Option 2 is correct.

Brainliest, please :)

How to calculate Tax Income and Capital Gain?

Answers

Tax Income
This is taxed based on how much you make in one year. Based on how much the individual makes in this year will effect the taxed amount.

Step 1
83,465 x 5.05 = 4214.98

Step 2
(Note this is the second tax at 9.15)
83,465 x 9.15 = 7637.04

Step 3
(Add both taxed together for total income tax paid)
7637.04 + 4214.98 =11,852.02

Estimate the difference by rounding each mixed number to the nearest half or whole number. 8 4/10 - 2 1/7

Answers

The answer would be 6 9/35 which would round to 6.5

Answer:

6 1/2

Step-by-step explanation:

8 4/10 is rounded to 8 1/2 and 2 1/7 is rounded to just 2

8 1/2 - 2 = 6 1/2

The bottom part of this block is a rectangle or prism. The top part is a square pyramid. You want cover the block entirely with paper. How much paper do you need?

Answers

Answer:

324

Step-by-step explanation:

((7*6) *4) + ((6*5) *4) + (6*6) =?

(42*4) + (30*4) + (6*6) =?

168 + 120 + 36 =?

324 =?

Basically, you need to find the area of all sides and add it up.

Answer:

324 sheets of paper

Stepheet-by-step explanation:

Which number best represents a debt of $5,324?
A.
-53,240
B.
-5,324
C.
5,324
D.
53,240

Answers

Answer:B

Step-by-step explanation:The negative represents how the debt is in the negatives so it should be B. I hope that helps!

The answer is B cause it’s a negative amount

8TH GRADE GEOMETRY:100 POINTS+BRAINLIEST: Please answer the question and explain how you did it. Also, please tell me what a "radii" is. Any absurd answers for the sake of points will be reported thanks :)) !!!

Answers

Answer:

Option B       1 : 3

Step-by-step explanation:

Volume formulas & definitions:

To solve this problem, we must remember the formulas for volume of each shape:

[tex]V_{cylinder}=\pi r^2h\\V_{cone}=\frac{1}{3} \pi r^2 h[/tex]  where r represents the radius of the circular part of the shape, and h represents the height of the shape (the plural of height is "heights", and the plural of radius is "radii")

So, when the question states that the shapes "have congruent heights and radii" it means that the height of both objects is the same, and the radius of both objects is the same.

Ratios

To find the ratio of the volume of the cone to the volume of the cylinder, we must setup the ratio.  Ratios can be setup as a fraction where the first quantity is the numerator (top of fraction), and the second quantity is the denominator (bottom of the fraction):

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3} \pi r^2 h} {\pi r^2 h}[/tex]

Since the pi, the "r", and the "h" are the same in both the numerator and denominator (and since there is only multiplication & division in the fraction) these common factors can cancel, and reduce the fraction to the following:

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\dfrac{\frac{1}{3}} {1}[/tex]

Any number divided by 1 doesn't change, so one-third divided by 1 is still one-third.

[tex]\dfrac{V_{cone}}{V_{cylinder}}=\frac{1}{3}[/tex]

Other representations of ratios

Lastly, we must remember that a ratio an also be written with a colon symbol, where the numerator is written first, and the denominator is written second.

So, the ratio of the volume of the cone to the volume of the cylinder is:

1 : 3

should be answer B shahs

Summer homework, need help

Answers

Answer:

5,2,3

Step-by-step explanation:

I don't really know what to say. Im in midd school and I saw this before.................

Answer:

1 1 4 -3

Step-by-step explanation:

since the slope of the graph is one, the answer is one to both

The biggest y is 4

The smallest Y is -3

I THINK NOT SURE

Mr Brown has to pay a $670 power bill by the end of the month. He has 12 days to go before the end of the month. He has already set aside $152 for the bill. He plans to save an equal amount per day for each of the 12 days.

a) what is the minimum amount he should save per day to be able to pay the bill?

b) Convert your answer to a certain currency. $1 in the current currency = $1.35 to the new currency.

Answers

$43.17 is the minimum per day . $58.28 is with new currency
ok didn’t fbifnfneneidnr

wAaAa im very confused, help
16. Convert the following mixed fraction to decimals.

3 1/5 =

a)3.2

b) 4.2

c) 5.2

Answers

Answer:

The answer would be 3.2, since .2 is equivalent to 1/5 ^^

3.2 because 1/5 is equal to 20% so it would be “0.2”

Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals, which is represented by the expression 15 + 0.75h .
Complete the statement to describe the terms...

Answers

Answer: see below

Step-by-step explanation:

h represents the number of houses. How i know this:

(1) the question states that each house costs $0.75. So 0.75h means 0.75 times a number of houses.

(2) h is used because houses starts with h. Also, h can't represent bikes because the "bikes" only appears in 1 number and doesn't have anything per bike. It only appears once.

15 represents the initial price of bike rentals.

- It says in the question, "Cycle City charges an initial price of $15 plus $0.75 per house for bike rentals". All of the information related to what 15 stands for is underlined. "Initial price" means a 1 time price that doesn't repeat. the 0.75 repeats based on how many houses you get.

0.75h represents the total cost for any number of houses.

(1) The question says "$0.75 per house" which means that each house costs 0.75. The h next to the 0.75 only means a number of houses. Whenever you see "something per something", expect the first letter of the 2nd word to be placed after the number.

If it doesn't make sense, let's say that h=1. In other words, we are buying 1 house. 0.75h means 0.75xh, so 0.75x1= 0.75. It's true. 1 house costs 0.75. You can also do 0.75x2, 0.75x3, and so on.

I hope i could help :)))

Answer:

Step-by-step explanation:

h= number of houses

0.75= cost per house

15= the initial price (price first paid)

1
Drag each tile to the correct box.
Order the expressions from least value to greatest value.
-4.8×3.2
2+(-1)
V
4.32
-3
-2-(-1)
<


Answers

Answer: -15.36, -1.44, 0.85, 4

Step-by-step explanation:

Step 1: Evaluate (solve) all of the expressions (equations)

#1: -4.8x3.2= -15.36

#2: 2 1/4+ -1 2/5

2 1/4= 2.25

-1 2/5= -1.4

2.25+-1.4

*Whenever you have a +- something, it always becomes -

2.25 - 1.4= 0.85

#3: 4.32÷-3= -1.44

#4: -2 3/5 - -12/5

2 3/5= 2.6

-1 2/5= -1.4

2.6 - -1.4

*Whenever you have 2 minuses like - -, it always becomes a +.

So 2.6 - -1.4 becomes 2.6+1.4

2.6+1.4= 4

Step 2: List from least to greatest.

Okay so the numbers we have are:

-15.36, 0.85, -1.44, 4

The least number is the one farthest away from 0. This number would be -15.36, because, here's a rule to remember:

The "bigger" the negative number looks, the smaller it actualy is beacuse it is farther away from 0. For example, -29 is smaller than -1 even though it looks bigger because -29 is farther from 0. If it were positive numbers, 29 would definitely be greater though.So -15.36 is the smallest or the least.

Next, you see that -1.44 is the next in line because its the only remaining negative number and it has to be smaller than the others, which are positive.

3rd of all, i know that 0.85 comes next on the list because it is smaller than 4. It is still above 0, making it positive.

Finally, 4 is the greatest. It's bigger than 0.85, which obviously is less than 1.  Now here's the list of numbers from least--> greatest:

-15.36, -1.44, 0.85, 4

Now all you have to do is put these numbers into the boxes in order. If it doesn't make sense, try putting the first 2 numbers into the first 2 boxes. By doing this you get -15.36<-1.44, which is a true statment. If you want to go further, put 0.85 in the 3rd bubble to get -1.44<0.85 which is also true. Finally, when you put 4 in the last bubble, you get 0.85<4, which is true. That's how i know my answer is correct.

Hope this helps :))

PLEASE HELP!!!!!
The cost of 10 cupcakes at a cake stand is $40. Which graph shows the cost of different numbers of cupcakes at the cake stand?

Answers

40/10=4

Therefore: 1 cupcake costs 4 dollars
It’s 4,
When trying to find out how much one thing is from a group ex: ur question.
You want to divide your first price (40) by the number of items (10) which equals 4
40/10=4

Which of the following can be used to describe the rectangle below?


A rectangle is shown.


A.

All angles are acute.


B.

Opposite sides are perpendicular.


C.

The opposite sides are parallel.


D.

All sides are the same length.



I really need help please

Answers

the answer would be C

Answer:

B or C It depends on the definition of opposite sides

Step-by-step explanation:

Perpendicular lines bisect eachother. Parallel lines would never touch eachother.

Find the surface area of the regular hexagonal prism.

Answers

Answer:

2ah + 3√3a, 2,

use this formula^

You'll get the answer

133.3

Answer:

25.5

Step-by-step explanation:

i passed

whoever can answer all of these will get brainless

1. 121/2 - 9 1/4 =
2. 5 1/2 - 2 5/12 =
3. 7 1/5 - 3 7/10 =
4. 11 2/3 - 8 1/2 =
fractions by the way

answer that goes with each question
3 1/2) 3 1/3) 3 1/4) 3 1/6) 3 2/3) 3 3/4)

which ones do they go with?





4

Answers

Firstly, brainly allows 1 question per question. So do not try this again.

Lets make the fractions all like terms.


242/4 - 37/4=205/4. Lets now make this a mixed fraction.
By doing 205/4, we find out that 4 goes in less than 51 times.

1. 51  1/4.

2. 11/2 = 66/12.....so 66/12 - 29/12= 37/12. Make it mixed fraction: 3 1/12.

3. 36/5=72/10.      72/10 - 37/10 = 35/10. As a mixed it is 3 1/2

4. 35/3 - 17/2 can be rewritten by finding their GCM (Greatest Common Multiple). In this case it is 6.

70/6 - 51/6 = 19/6. 3 1/6.

#LearnWithBrainly, get Verified Answers

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Tracey decides to give $1 to 5 of her close friends everyday she is late for Algebra class. Algebra class meets 3 days a week. Tracey has been late to class everyday for 4 weeks. How much money has she lost?

Answers

Answer:

Tracey has lost $60

Step-by-step explanation:

>Tracey gives $5 every missed class

>She has missed 12 classes

>5(12) is 60

>Tracey owes $60

3 x 4 = 12

12 x 5 = 60 dollars

Pls answer the question 15 points

Answers

Answer:

V≈256

Step-by-step explanation:

Given the radius = 4 cm, you can use the formula and come up with the following,

[tex]V=4/3*3*4^3=4/3*64*3 =256*3 /3=256[/tex]≈

Answer:

V=256 cm^3

Step-by-step explanation:

x/x-2 + x-1/x+1= -1
Can someone walk me through the steps of this problem? Much appreciated. :)

Answers

Answer:

[tex]\large{\boxed{ \sf x = 1, \ x = 0 }[/tex]

Explanation:

 [tex]\sf \Rightarrow \dfrac{x}{x-2\:}+\:\dfrac{x-1}{x+1}=\:-1[/tex]

[tex]\sf \Rightarrow \dfrac{x(x+1)+(x-1)(x-2)}{(x-2)(x+1)}=\:-1[/tex]

[tex]\sf \Rightarrow \dfrac{x^2+x+x^2-2x-x + 2}{x^2 - 2x + x - 2}=\:-1[/tex]

[tex]\sf \Rightarrow 2x^2-2x+ 2=\:-1(x^2 - 2x + x - 2)[/tex]

[tex]\sf \Rightarrow 2x^2-2x+ 2=\:-x^2 + 2x - x + 2[/tex]

[tex]\sf \Rightarrow 2x^2+x^2 -2x - x+ 2-2=0[/tex]

 [tex]\sf \Rightarrow 3x^2 - 3x = 0[/tex]

 [tex]\sf \Rightarrow 3x(x - 1) = 0[/tex]

 [tex]\sf \Rightarrow 3x = 0 , \ x - 1 = 0[/tex]

 [tex]\sf \Rightarrow x = 0 , \ x =1[/tex]

Answer:

x = 0 or x = 1

Step-by-step explanation:

Given equation:

[tex]\dfrac{x}{x-2}+\dfrac{x-1}{x+1}=-1[/tex]

Multiply the two denominators to get the same denominator:

Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.

Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.

[tex]\implies \dfrac{x(x+1)}{(x-2)(x+1)}+\dfrac{(x-2)(x-1)}{(x-2)(x+1)}=-1[/tex]

Add the numerators and keep the denominator so that there is now one fraction:

[tex]\implies \dfrac{x(x+1)+(x-2)(x-1)}{(x-2)(x+1)}=-1[/tex]

Simplify the numerator by expanding the brackets:

[tex]\implies \dfrac{x^2+x+x^2-3x+2}{(x-2)(x+1)}=-1[/tex]

[tex]\implies \dfrac{2x^2-2x+2}{(x-2)(x+1)}=-1[/tex]

Simplify the denominator by expanding the brackets:

[tex]\implies \dfrac{2x^2-2x+2}{x^2-x-2}=-1[/tex]

Multiply both sides by the denominator of the left side:

[tex]\implies 2x^2-2x+2=-1(x^2-x-2)[/tex]

Simplify and move everything to the left side:

[tex]\implies 2x^2-2x+2=-x^2+x+2[/tex]

[tex]\implies 3x^2-3x=0[/tex]

Factor:

[tex]\implies 3x(x-1)=0[/tex]

Therefore:

[tex]\implies 3x=0 \implies x=0[/tex]

[tex]\implies x-1=0 \implies x=1[/tex]

Therefore, x = 0 or x = 1

Please answer this someone so I can get out of summer school please!!!
A graph titled Arnie's Airplane has time (minutes) on the x-axis and distance (miles) on the y-axis. A line goes through points (0, 0) and (2, 10). A 2-column table with 3 rows titled Bernie's Biplane. Column 1 is labeled Time (minutes) x with entries 3, 5, 8. Column 2 is labeled Distance (miles) y with entries 21, 35, 56.
Find each slope from the graph and table to compare the constant speeds of the two airplanes.

What is the constant speed (slope) of Arnie’s airplane?

What is the constant speed (slope) of Bernie’s biplane?

Who flew faster?

Answers

Answer:

5,7, bernie

Step-by-step explanation:

its right bc ik it is lol

5, 7, Bernie’s
Hope this helps

middle school problem attached :D

Answers

Answer: $638.40

Step-by-step explanation:

45% converted to a decimal is 0.45

0.45 of $1200 = 0.45* $1200 (of in this case means multiply)

0.45 * $1200= $440

Because they said 11% of remaining salary, we have to do:

$1200-$440=$760

Now 11% converted to a decimal is 0.11

5% converted to a decimal is 0.05

So 0.11+0.05

0.11+0.05= 0.16

Now 0.16 *$760=$121.60

Now we find the remaining amount so we subtract: $760-$121.60= $638.40

So our answer is $638.40 left

$638.40


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Repost 8th grade 50 POINTS+BRAINLIEST: How do you graph a quadratic equation in vertex form when the equation is a perfect square? Use x² -4x+4 as an example

Answers

Answer: Vertex : Maximum (2, 0)

Rules:

(x + d)² = x² + 2dx + d²    and   (x - d)² = x² - 2dx + d²x² + 2dx = (x + d)² - d²   and  x² - 2dx = (x - d)² - d²

Solve:

x² - 4x + 4

x² - 2(2x) + 2²

(x - 2)²

Into vertex form: a(x - h)² + k

1(x - 2)² + 0

Identify:

vertex : (h, k) = (2, 0)

Find additional things, to graph the equation:

(i) x-intercept: (2, 0)

(ii) y-intercept: (0, 4)

Graph shown:

1(x-2)^2+0 is the vertex form

i need help 25 points?

Answers

Answer:

Head Tails

Step-by-step explanation:

I hope this helps:)

The answer to this question is heads tails

Find the "explicit" formula, f(n) of this sequence: 2, 5, 12.5, 31.25,...

Answers

F(n) of the sequence is: 2.5
2 x 2.5= 5
5 x 2.5= 12.5
Etc.
F(n) of the sequence is 2.5

I need help with this topic, an explanation of how you got the answer would be very much appreciated, Thanks :)

( I attached pictures )

Answers

Answer:

No Solutions

Step-by-step explanation:

Hello!

We can approach this system using the Elimination method. Since the coefficients of the the x terms are the same, we should vertically subtract the two equations.

Subtract[tex]\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.[/tex][tex]-\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.[/tex][tex]-\left \{ {{y=9x - 5} \atop {y = 9x + 6}} \right.\\0 = 0 -1 1[/tex][tex]0 \neq -11[/tex]

Since 0 does not equal to -11, there are no solutions to the system.

We can also look at this graphically. The two lines have the same slope but different y-intercepts, meaning that they would be parallel lines with no intersection. If there is no intersection, there are no solutions.

the answer no solutions ! bc there’s literally no solution

please help again. i dont know how to solve this one either.

Answers

3 x 3 x 17 x oweueueueuee
3x3x17 is your answer

15 Points!!!
The volume of the given right circular cylinder is 256ℼ cubic yards. If h, the height of the cylinder is 16 yards, what is r the radius of the base?
A. 4 yd.
B. 6 yd.
C. 12 yd.
D.16 yd.

Answers

Answer: 4 yards

Step-by-step explanation: The formula for the volume of a cylinder is Pi * Radius squared * height.

If the end result is 256pi, and the height is 16, then the radius must be 4, because 4^2 = 16, and 16*16 = 256, and 256*pi = 256pi.

Please mark as brainliest if this was helpful.

Answer:

r = 4yd (Answer A)

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h, and the applicable V value here is 256π yd³.  We divide this by 16 yd to find the area of the base:  16π yd².

The base is a circle of radius r, which is to be determined:

πr² = 16π yd²

This reduces to r² = 16 yd², and so r = 4yd (Answer A)

Fill in the blanks based off the graph. (I added pictures)


Thanks :) 20 pointss!!!

Answers

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

Answer:

1. $4

2. $2

3. $1

4. $30

Step-by-step explanation:

i think its multiply by -2 but i dont know

Answers

Answer: Divide by -2

Step-by-step explanation: In an equation where you have ab = n, then you divide by a. So then you get b = n/a.

If my answer was helpful, please mark it as brainliest.

Answer:

Divide by -2

Step-by-step explanation:

Since we need to isolate h, we need to do the opposite operation that -2 is doing to h. In this case, -2 is being multiplied by h, and the opposite operation to multiplication is division.

This means that we need to divide both sides by -2.

Which of the following is equivalent to 4 2/3?
3 5/3
3 6/3
3 12/3
3 4/3

Answers

Answer:

[tex]3\frac{5}{3}[/tex]

Step-by-step explanation:

If you change the original number into an improper fraction, you need something that will be the same as [tex]\frac{14}{3}[/tex]

3 3/5 hope this helps

Given the conversion factors 12 in/1 ft and 3.28 ft/1 m, which line segment is longer?
A. Line segment A
B. Line segment B
C. They are the same size.

Answers

Answer:

Line segment A

Step-by-step explanation:

The apostrophe symbol represents feet.

1 meter can be converted into 3.28'

Since 5.5' > 3.28', Line segment A is larger

The correct answer is A
Other Questions
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The dot plots below show the ages of students belonging to two groups of painting classes:A dot plot shows two divisions labeled Group A and Group B. The horizontal axis is labeled as Age of Painting Students in years. Group A shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. Group B shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29.Based on visual inspection, which group most likely has a lower mean age of painting students? Explain your answer using two or three sentences. Make sure to use facts to support your answer. Which sentence from paragraph 6 has the least objective tone? (6) Ultimately, that's what our democracy demands. It needs you. Not just when there's an election, not just when your own narrow interest is at stake, but over the full span of a lifetime. If you're tired of arguing with strangers on the Internet, try to talk with one in real life. If something needs fixing, lace up your shoes and do some organizing. If you're disappointed by your elected officials, grab a clipboard, get some signatures, and run for office yourself. Show up. Dive in. Persevere. Sometimes you'll win. Sometimes you'll lose. Presuming a reservoir of goodness in others can be a risk, and there will be times when the process disappoints you. But for those of us fortunate enough to have been a part of this work, to see it up close, let me tell you, it can energize and inspire. And more often than not, your faith in America and in Americans will be confirmed. . . . A point P is 45km from Q in a bearing of 75 how far is P north of Q Find the accumulated amount of an account if the principal amount was 5000 at 16% interest at the end of 3 years Solve and show your work for each equation.What is 0.36... (36 repeating) expressed as a fraction in its simplest form?What is 0.36... (6 repeating) expressed as a fraction in its simplest form? A listing of Bible words and the verses containing them is called a: Bible handbook version concordance word-study book The graph of f(x) = x2 is translated to form g(x) = (x 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8). Each salesperson at an insurance agency is rated either below average, average, or aboveaverage with respect to sales ability. Each salesperson is also rated with respect to his or herpotential for advancement either fair, good, or excellent. These traits for the 500 sales peoplewere cross-classified into the following table.Potential for AdvancementSales Ability Fair Good Excellent TotalBelow Average 16 12 22 50Average 45 60 45 150Above Average 93 72 135 300Total 154 144 202 500If a salesperson is selected at random what is the probability:A. The salesperson has Fair potential for advancement.B. The salesperson has Fair potential or has Above Average Sales abilityC. The salesperson has Fair potential given they have Above Average Sales ability.D. Of selecting 2 salespersons and finding they both have Fair potential for advancement. independent clauses, dependent clause. Exercise 6 Write a formal letter of request to your Class Teacher, requesting him/her to appoint you as the Monitor of your class. Give convincing reasons. [Approved by Curriculum Development Centre (CDC)) Colloquy English Reader, 57 Exercise 6 Write a formal letter of request to your Class Teacher , requesting him / her to appoint you as the Monitor of your class . Give convincing reasons . [ Approved by Curriculum Development Centre ( CDC ) ) Colloquy English Reader , 57