Answer:
Step-by-step explanation:
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.
3 1/4 divided by 1 1/4 =
Answer:
2.6, 2 3/5, 2 6/10
Step-by-step explanation:
2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.
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:
Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approximate magnitude of the resultant force?
The resultant force in the example presented is approximately 774 pounds.
What is magnitude?The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics.
Formally speaking, the size of an object is the visible outcome of an ordering—of the class of objects to which it belongs.
Consider the following scenario: the force is 10 N in the east.
The direction is indicated by "towards the east," while the force is indicated by "10."
Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.
So, an object is under the influence of two forces with respective magnitudes of 300 pounds and 450 pounds and an angle of 60 degrees between them.
F₁=300 pounds, F₂=450 pounds and θ=60°
Fr=√300²+450²+2×300×450×cos60°
= √90000+502500+13500×0.5
= √90000+502500+6750
= √599250
= 774 pounds
Therefore, the resultant force in the example presented is approximately 774 pounds.
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Answer: C. 653.91 pounds.
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°
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
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:
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
4 (3 a + 5) + b when a = 3, b = - 12
Answer:
Step-by-step explanation:45+20+-12
65+-12
=53
A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?
Answer:
15
Step-by-step explanation:
50 times 30 over 100 you will get 15
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 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]
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
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
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
2. What is the quotient of 6 and -1/2?
O -12
O -1/12
Answer:
- 12
hope this helps you!
4/8 of Kelly's beads are red and 1/8 are white ,and the rest are blue. What fraction of Kelly’s beads are blue?
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
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 :)
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
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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
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What is Irrational Root Theorem? Explain and give examples.
Answer: if the irrational sum of a plus the square root of b is the root of a polynomial with rational coefficients, then a minus the square root of b, which is also an irrational number, is also a root of that polynomial.
Step-by-step explanation: Look it up
what is the equivalent ratio of 2 over 9?
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:
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
Can anyone help complete this table?
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
Consider the function f(x) = x^2 - 10x - 24. Given that one of the solutions of the function is x = -2, what is the other solution of the func
Answer:
5
Step-by-step explanation:
You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.
It's the quadratic formula
x = [tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.
a is the coefficient of the first term in the expression, b is the second and c is the third.
so we get[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}[/tex] , which is the same as
[tex]x = \frac{10 + \sqrt{100 - 24(4)} }{2}[/tex]
and
x = [tex]x = \frac{10 - \sqrt{100 - 24(4)} }{2}[/tex]
The top part simplifies to [tex]\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5[/tex], which is your answer.
Which ecosystem was Marie most likely exploring?
A. tropical savanna
B. tropical rainforest
C. deciduous forest
D. highlands
Answer:
A.Tropical savanna
Step-by-step explanation:
Because I just did the practice.
Answer:
A. tropical savanna
Step-by-step explanation:
I took the test and it was alright trust me please