Answer:
48 pupils
Step-by-step explanation:
let the number of people in the class be x
⅚ of the number of pupils in a class is expressed as ⅚x
4 greater than three-quarters of the number in the class is expressed as 3/4x+4
Equating both expressions
⅚x = 3/4x + 4
5x/6 - 3x/4 = 4
(10x-9x)/12 = 4
x/12 = 4
x = 4*12
x = 48
Hence the number of pupils in the class is 48 pupils
1. Write and simplify an expression that represents the length of the south side of the field 2. Write and simplify a polynomial expression that represents the perimeter of the pumpkin field. 3. What is on reason why the perimeter of the pumpkin field would be useful to Farmer Bob? 4. What is the perimeter of the potato field? 5. Write and simplify a polynomial expression that represents the area of the squash field. 6. What is one reason why the calculated area of the squash field would be useful to Farmer Bob? 7. Farmer Bob realized that the pumpkins and squash will use the same soil type. What is the area of the squash and pumpkin fields combined?
Answer:
The answer is below
Step-by-step explanation:
1) The length of the south side of the field = (5x + 2) + (x² - 9) + (x² - 7x +12) = x² + x² + 5x - 7x + 2 - 9 + 12 = 2x² - 2x + 5
2) The perimeter of pumpkin field = 2(length + breadth) = 2[(5x - 2) + (5x + 2)] = 2[5x + 5x - 2 + 2] = 2(10x)
The perimeter of pumpkin field = 20x
3) The perimeter of pumpkin field is useful in case Bob wants to fence the pumpkin field.
4) The perimeter of potato field = 2(length + breadth) = 2[(x + 6) + (x² - 7x + 12)] = 2[x² - 7x + x + 6 + 12] = 2(x² - 6x + 18)
The perimeter of potato field = 2x² - 12x + 36
5) Area of squash field = length * breadth = (4x) * (x)
Area of squash field = 4x²
6) The area of the squash field would be important if Bob want to determine the number of squash seeds that would be enough for the field.
7) Area of pumpkin field = length * breadth = (5x - 2) * (5x + 2) = 25x² + 10x - 10x - 4
Area of pumpkin field = 25x² - 4
Area of pumpkin field and squash field = 4x² + (25x² - 4) = 29x² - 4
Activity
Valerie is remodeling her home. She decides to replace the old carpet in the living room and wants to know how much carpet she needs. You can see from the diagram of the living room that this is not a simple shape. Complete the steps below to find the area of the room, which is the amount of carpet Valerie needs for her project.
Part A
Help Valerie decompose the shape into the fewest simple shapes. Which shapes can you divide the figure into? How many of each shape do you get?
Part B
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Part C
On a separate piece of paper, draw the different ways you can divide the given shape into simpler shapes. Describe each result.
Part D
What are the dimensions of the simple shapes you obtained in part C? List dimensions for all your decompositions (sets of shapes).
Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Part F
Add the areas of the simple shapes you found in part E to find the area of the composite shape. Do this separately for both decompositions. What do you notice about the two answers?
Part G
What is the amount of carpet Valerie needs for her living room?
Answer:
It can be decomposed into the following simplest shapes:
Two Rectangles and one Triangle.
The area is 242 ft2
Step-by-step explanation:
I NEED HELP ASAP PLEASE HELP ME.
Answer:
B=40
C=55
A=40
Step-by-step explanation:
Pls help me find KL!!!!!
Answer:
[tex]Solution,\\The~all~sides~of~rhombus~are~equal.\\So, ~DM = DK\\or, 5y+2=3y+6\\or, 5y-3y=6-2\\or, 2y=4\\or, y=2\\We~have, DM=KL=5y+2 = 5(2)+2=12\\[/tex]
∴[tex]KL = 12[/tex]
The length of a cuboid is one more than its breadth and the perimeter of its base is 18 cm. If its
lateral surface area is 54 sq. cm, find the volume of the cuboid.
Answer:
60 cm^3
Step-by-step explanation:
The computation of the volume of the cuboid is given below:
let us assume the length be l
and b the breadth
So
l = b + 1
And, the perimeter is
2(l + b) = 18
2l + 2b = 18
2b + 2 + 2b = 18
b = 4
And l = 5
Now
2(l + b) × h = 54
2(5 + 4 ) × h = 54
h = 3
Now the volume of the cuboid is
= l × b × h
= 5 × 4 × 3
= 60 cm^3
hey!! plz answer this question correctly plz plz plz im on a very tight time crunch thanks besties
Answer:
b is the answer I choose because it is going in-5
Answer:
B
Step-by-step explanation:
Can anyone help complete this table?
Mia walked 6 blocks from her house to her friend's house. The distance of each block is 0.12 mile as shown.
Answer:
I think its 0.02
Step-by-step explanation:
I might be wrong
Answer:
0.72 mile
Step-by-step explanation:
Each block is 0.12, it asks what 6 blocks would be.
0.12 x 6 = 0.72 therefore the answer is D
4 (3 a + 5) + b when a = 3, b = - 12
Answer:
Step-by-step explanation:45+20+-12
65+-12
=53
2. What is the quotient of 6 and -1/2?
O -12
O -1/12
Answer:
- 12
hope this helps you!
The new Nintendo game costs $70. The sales tax was 5%, what was the total cost?
Answer:
$66.50.
Step-by-step explanation:
i need help please .........
Answer:
Step-by-step explanation:
(10^2-6^2) gives the hypotenuse of the smaller triangle therefore we get 8 units for that side.looking for the value of x
(8^2-3^2)=x^2
(64-9)=x^2
55=x^2
X=√55
An internet survivor
game had 50,000
participants; however,
the game kicks off 20% of
the participants each day.
Which function models
this game?
Answer:
70,000
Step-by-step explanation:
5,000
20
70,000
Problems of the Week (P.O.W.)
Week of February 8-12
5. Hank went to the store and bought two erasers and three pencils. If each
eraser was half the price of each pencil, how much was each pencil if he
spent $2.04 in all (excluding tax)?
MY WORK
TEACHER REVIEW
Answer:
Each pencil cost $0.51
Step-by-step explanation:
Max is doing chores to earn an allowance for each chore he does he earns $3 what is the input variable of the function modelling the situation?
What is the output variable of the function modeling the situation
Answer:
Input Variable: Number of chores
Output Variable: Earnings
Step-by-step explanation:
Given
Earnings = $3 per chore
Required
Determine the input and the output variables
The given parameter
Earnings = $3 per chore
i.e.
If he does 1 chore, he earns $3
If he does 2 chores, he earns $6
If he does 3 chores, he earns $9
---
--
-
If he does n number of chores, he earns $3n
So, we can conclude that:
His earning is dependent on the number of chores.
The keyword dependent shows that:
Input Variable: Number of chores
Output Variable: Earnings
What is the result when x4 + 9x^3 - 20x2 + 14x – 14 is divided by x – 1? If
there is a remainder, express the result in the form q(x) + ):
What number increased by 13.33% equals 223.
Answer:
197
Step-by-step explanation:
13.33% of 197 = 26.26
.26 < 0.5
So, 197 + 26 = 223
Answer:
x=196.77 ir 197
Step-by-step explanation:
197
Step by step explanation:
13.33% of 197 = 26.26
0.26 <0.5
So it can be ignored
So, 197 + 26 = 223
Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder
Answer:
Answer vary: to make 3 cakes this is what Matteo needs
9 ounces of butter
12 ounces of sugar
15 ounces of flour
6 eggs
3 teaspoons (tsp) baking powder
Step-by-step explanation:
honestly in my opinion thats my answer but it might be wrong. you could add or multiply it, I added the ingredients 3 times but it’s more simple to multiply each by 3.
3 times 3 = 9
4 times 3 = 12
5 times 3 = 15
2 times 3 = 6
1 times 3 = 3
What number solves the equation 7(x - 2) = 42?
Hellppppppp
Answer:
x = 6
Step-by-step explanation:
8 - 2 = 6
7(8 - 2) = 7(6)
7x6 = 42, so
x = 6 is the correct answer
Compare the rates to find which is the best value.
3 greeting cards for $13.50
9 greeting cards for $38.25
6 greeting cards for $23.40
8 greeting cards for $32.80
Answer:
6 greeting cards for 23.40
Answer:
C: 6 greeting cards for $23.40
Step-by-step explanation:
(Angles in
The figure shows a parallelogram ABCD where BÂD = 64°
Elies on AB such that AÐE = 49°.
C С
D
49
Calculate
(i) ABC,
(ii) CỘE.
64
B
A
E
Answer:
m<ABC = 116°
m<CDE = 67°
Step-by-step explanation:
✔️m<ABC = 180 - m<BAD (adjacent angles of a parallelogram are supplementary)
m<ABC = 180 - 64° (Substitution)
m<ABC = 116°
✔️m<CDA = m<CDE + m<ADE (angle addition postulate)
m<CDA = m<CDE + 49°
m<CDA = m<ABC (opposite angles of a parallelogram are congruent)
m<CDE + 49° = 116° (substitution)
m<CDE = 116° - 49° (Substraction property of equality)
m<CDE = 67°
X pitchers of lemonade and y number of lemons.Paula can make 3 pitchers of lemonade with 12 lemons. Write an equation for the relationship between x and y.
Answer:
y=4x is the first answer
second answer id you will need 16 lemons
Step-by-step explanation:
The ratio is 3:12
if you divide 3 by 3 you will 1
and i you divide 12 by 3 you will get 4
keep in mind this is direct proportion whatever you do to one side you must do to the other
now that i have divided the ratio you get 1:4
meaning 1 pitcher for every 4 lemons that the relationship between x and y
y=4x
and if you make 4 pitchers you will need 16 lemons
hope this helped xx
Help me please :))))))
Answer: 8
Step-by-step explanation:
4+4
Evaluate each expression if m=4,z=9,and r=1/6
1. 12r
2. 60r - 4
3. 3r power of 2
Answer:
1. 12r= 2
2. 60r - 4= 6
3. 3r power of 2= 1/12
Step-by-step explanation:
1. 12r = 12* 1/6= 12/6= 2
2. 60r - 4 = 60* (1/6) -4= 60/6 -4= 10- 4=6
3. 3r power of 2= 3* (1/6) power of 2= 3* 1/36= 1/12
or
(3*1/6) power of 2= (1/2) power of 2= 1/4
Your answer
What is the greatest common factor of 12 and 24?
Your answer
6
Answer:
yes it is 6
Step-by-step explanation:
Both are even numbers and caan be divided by 6 win 24 is divided by two I equals 12.
Can you help me on question 18?!
Answer:
Store C
Step-by-step explanation:
store a is selling 10 pencils for $2.50
$2.50 divided by 10 is 25 cents
so the price for store a is 25 cents per pencil
store b is selling 50 pencils for $6.00
$6.00 divided by 50 is 12 cents
so the price for store b is 12 cents per pencil
store c is selling 100 pencils for $8.25
$8.25 divided by 100 is 8.25 cents
obviously you can't give someone .25 cents so round it down to 8
so the price for store c is 8 cents per pencil
store d is selling 250 pencils for $21.25
$21.25 divided by 250 is 8.5 cents
which rounds up to 9 cents per pencil
Store c has the lowest price for one pencil
arrange in order from least to greatest. -3/5, 7/-10,-5/6
[tex] \frac{ - 3}{5} \frac{7}{ - 10} \frac{ - 5}{6} [/tex]
plzzz help!!!!
fast!!!!
it is due in 15 min
I 'll make brainliest whose ans is correct...
does anyone know the answer to this?
0.5 +6.38 = 6.88 because 6.38 is precise to the hundredth digit, so the
answer must also be rounded to the nearest hundredth.
O A. True
B. False
Since 6.38 is precise to the hundredth digit, so the answer must also be rounded/approximated to the nearest hundredth.
How to approximate an expression?For the expression to be precise it has to have the approximation of the least number.
Therefore,
0.5 is 1 decimal place(nearest tenth)
6.38 is 2 decimal place(nearest hundredth)
Therefore,
The answer of the expression 0.5 +6.38 should be in hundredth digit.
Hence,
0.5 +6.38 = 6.88
learn more on approximation here: https://brainly.com/question/7268955
#SPJ1
The statement that 6.38 is precise to the hundredth digit, so the answer must also be rounded to the nearest hundredth is FALSE
Conversion of decimal numbers.When taking the sum of decimal numbers, the equivalent result must be rounded up to the decimal with least number of decimal place.
Given the expression
0.5 +6.38 = 6.88
The given result is wrong since it is not in 1 decimal place. The correct result should be 6.9. Hence the statement that 6.38 is precise to the hundredth digit, so the answer must also be rounded to the nearest hundredth is FALSE
Learn more on decimal values here: https://brainly.com/question/1827193
#SPJ1
Ravi buys an item for $1.08. He gives the cashier a $20 bill. How much money should Ravi get back?
Answer:
$18.92
Step-by-step explanation:
20-1.08=18.92
Answer:
$18.92
Step-by-step explanation:
Subtract $1.08 from $20
18.92
So Ravi should get $18.92 back
Hope this helps :)