Answer:
The first example: a · (b · c) = (a · b) · c
Step-by-step explanation:
The associative property regroups values by changing the location of parentheses. If you notice, the order of the values is not changed. Both sides have a x b x c, only the parentheses have been moved. Moving the parentheses changes the progression of what is multiplied (whatever is in the parentheses is multiplied together first) but doesn't change the final answer.
The statement a. (b . c) = ( a . b ) . c describes the correct property.
What is associative property ?Associative property for multiplication states that rearranging the terms and brackets places in a multiplication of two or more than two terms does not change the result of the multiplication.
There are more properties multiplication is commutative also for example a×b = b×a
a . ( b . c ) = ( a . b) . c is the right answer here brackets have been changed according to the statement.
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Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.
In the last decade, Ni Hua went skydiving a total of 454545 times in the 191919 islands and peninsulas that he visited.
How many islands and peninsulas did Ni Hua visit?
Choose 1 answer:
A)Ni Hua visited 121212 islands and 777 peninsulas.
B)Ni Hua visited 777 islands and 121212 peninsulas.
C)There is not enough information to determine the exact number of islands and peninsula Ni Hua visited.
D)The given information describes an impossible situation.
Answer:
A) Ni Hua visited 12 islands and 7 peninsulas.
Step-by-step explanation:
If all visits had been to islands, Hua would have skydived 19·2 = 38 times. He actually skydived 45-38 = 7 times more than that. Each peninsula that replaces an island adds 1 skydive to his total, so he must have visited 7 peninsulas.
Hua visited 7 peninsulas and 12 islands.
Please do it for me if you can
Answer: 25868
Find area of circle, then add to are of rectangle
Answer:
23745 ft²
Step-by-step explanation:
Area of the Rectangle = LW = 146 x 119 = 17374 ft²
Area of 3/4 of a circle = 3/4r²π = 3/4 x 52² x π = 6371.14990148... ≈ 6371 ft²
Total area = 23745 ft²
Reduce -8 + b^2 by 5 + b^2
Answer:-13
Step-by-step explanation:
-8 + b^2 - 5 - b^2
=============
-13
Answer:
-13 __________________________
Step-by-step explanation:
Joe earned $2,400 this year. last year he earned $1,800. this year's earning were percentage of last year's.
Answer: About 134% of last years earnings
Step-by-step explanation:
what is the volume of the composite figure
Answer:192^3
Step-by-step explanation:
Multiply the base x width x height (6, 8, 4) and get your answer 192^3.
The volume of composite figure is [tex]76ft^{3}[/tex]
Volume:To find the volume of composite figure,
Let us consider that, given figure is complete.
So that, [tex]length=6ft, width=2ft, height=8ft[/tex]
Volume of complete figure,
[tex]Volume=length*width*height\\\\Volume=6*2*8=96ft^{3}[/tex]
Now find the volume of cut part.
[tex]Volume=2*2*5=20ft^{3}[/tex]
Volume of composite figure is,
[tex]96-20=76ft^{3}[/tex]
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1024 cm is equal to how many meters
Centi means [tex]10^{-2}=\frac{1}{100}[/tex] that also means you can write 1024 cm as [tex]1024\cdot\frac{1}{100}[/tex] m.
Now we can simplify the above fraction a little bit.
[tex]
1024\cdot\frac{1}{100}=\frac{1024}{100}=\boxed{10.24}
[/tex]
Which means 1024 cm is 10.24 m.
Hope this helps.
r3t40
There are 100 cm in 1 meter so to convert 1024 cm to meters divide 1024 by 100
1024/100 = 10.24
In 1024 cm there are 10.24 meters
Hope this helped!
~Just a girl in love with Shawn Mendes
Urgent! Please heeeeeeeeeeeeelp
The formula for area of a triangle is: 1/2 x base x height.
You are given the height of 4 and the area of 4.
Replace those in the formula and solve for x ( base)
4 = 1/2 x base x 4
Divide both sides by 4:
1 = 1/2 x base
Multiply both sides by 2:
2 = base
x = 2
Answer:
2=X
Step-by-step explanation:
The area of a triangle is ..
A=1/2 (b×h)
b=base
h=height
Therefore you must plug in what you know and work backwards
4=1/2 (x×4)
×2=×2
___ _________
8=(x×4)
÷4= ÷4
____ _____
2=x
What is the probability of landing on an odd number and then landing on a number greater than 5?
Answer:
For any question like this you take the number of ways an event can happen (odd number) and divide by the total number of possibilities (sides of a die). If you assume a six sided die there are 3 odd numbers, 1,3, 5. And 6 total sides, so 3/6 = 1/2 or 50%.
Step-by-step explanation:
Final answer:
The probability of rolling an odd number and then a number greater than 5 on a six-sided die in sequence is calculated by multiplying the two independent probabilities, resulting in a combined probability of 1/12.
Explanation:
The student wants to know the probability of landing on an odd number and then landing on a number greater than 5 when rolling a six-sided die. To solve this problem, we need to consider the two separate events independently and then calculate the combined probability.
First, let's consider the probability of landing on an odd number. There are three odd numbers on a die: 1, 3, and 5. Since each outcome is equally likely, the probability is the number of favorable outcomes over the number of possible outcomes, which is P(odd number) = 3/6 = 1/2.
Next, we calculate the probability of landing on a number greater than 5, which is only one number, 6. So, P(number > 5) = 1/6.
To find the probability of both events happening in sequence, we multiply the two probabilities: P(odd number) * P(number > 5) = (1/2) * (1/6) = 1/12. Therefore, the probability of rolling an odd number and then a number greater than 5 is 1/12.
Use the table to identify values of pand a that can be used to factor
x2 + x - 12 as (x + p)(x+q).
Answer:
D. -3 and 4
Step-by-step explanation:
-12 = -3 x 4
-3 + 4 = 1
so
x^2 + x - 12
= (x - 3)(x + 4)
Answer
D. -3 and 4
ANSWER
D. -3 and 4
EXPLANATION
The given quadratic trinomial is
[tex] {x}^{2} + x - 12[/tex]
To factor this we need to find two factors of -12 that sum up to 1, the coefficient of x.
We can see from the table that, when p=-3 and q=4, then p+q =1.
The trinomial can now be factored as:
[tex] {x}^{2} + x - 12 = (x - 3)(x + 4)[/tex]
The correct answer is D.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.
Do 36 divided by the amount of sides the hexagon has. I think I am not sure
what is the volume of the square pyramid with base edges 24ft and slant height of 37ft
Answer:
6720ft^3
Step-by-step explanation:
37²-12² = a²
1225 = a²
√1225 = a
a = 35
35(24²/3) =
35(576/3) =
35•192 = 6720 cm³
The answer is 6720 ft
......................................
Solve 2/3x> 8 or 2/3x< 4
Answer:
x > 12
Answer for 2/3>8
Answer:
x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞)
Step-by-step explanation:
Let's find the solution by modifying the conditions like this:
First condition:
2/3x > 8
Notice that x needs to be a positive number because if x is negative number the expression 2/3x is always negative, and the given condition will be false. Also, x can't be 0 because dividing by 0 is not allowed.
Multiplying the first condition in both sides by (3x/2) we obtain:
(2/3x)*(3x/2) > 8*(3x/2) equal to:
1 > 12x, which dividing by 12 in both sides is:
1/12 > x, which means a domain: (0,1/12)
Second condition:
2/3x < 4
Notice that if x is negative, the expression (2/3x) is always negative, so the second condition will be always true, so negative numbers are not a problem for this conditions.
Let's find the highest positive number which allows the second condition to be a true statement.
Multiplying the second condition in both sides by (3x/2) we obtain:
(2/3x)*(3x/2) < 4*(3x/2) equal to:
1 < 6x, which dividing by 6 in both sides is:
1/6 < x which means a domain: (-∞,0) ∪ (1/6,∞), notice that 0 is not in the domain because dividing by 0 is not allowed, but also as mentioned before negative numbers makes the statement true.
Notice that the problem uses the word OR (condition one or condition two), which means that we need to create a domain for x which allows that always at least one condition is true.
Adding the x domains for the two conditions we obtain:
(-∞,0) ∪ (0,1/12) ∪ (1/6,∞); notice that all the boundary numbers are not included.
In conclusion, the statement 2/3x>8 or 2/3x<4 is true for x within the domain (-∞,0) ∪ (0,1/12) ∪ (1/6,∞).
At a car and truck dealership the probability that a vehicle is white is 0.25 the probability that it is a pickup truck is 0.15 the probability that it is a white pickup truck is 0.06 what is the probability that a vehicle is white given that the vehicle is a pick up truck round your answer to two decimal points
Step-by-step Answer:
Given:
W=vehicle is White
T=vehicle is a pick-up Truck
P(W and T)=0.06
P(W)=0.25
P(T)=0.15
We need the conditional probability that a vehicle is white, given that it is a pick-up truck:
P(W | T)
= P(W and T) / P(T)
= 0.06 / 0.15
=0.4
Answer:
0.40
Step-by-step explanation:
A cash register contains $5 bills and $50 bills with a total value of $1060. If there are 32 bills total, then how many of each does the register contain?
Answer:
12 5 dollar bills
20 50 dollar bills
Step-by-step explanation:
Let x = number of five dollar bills
Let y = number of fifty dollar bills
We have a total of 32 bills
x+y = 32
The total amount is 1060
5x+50y = 1060
We have 2 equations and 2 unknowns
x+y = 32
5x+50y = 1060
Multiply the first equation by -5 so we can eliminate x
-5x -5y = -5*32
-5x -5y =-160
Add this to the second equation
5x+50y = 1060
-5x -5y =-160
------------------------
45 y = 900
Divide each side by 45
45y/45 = 900/45
y = 20
There are 20 50 dollar bills
x+y = 32
x+20 = 32
Subtract 20 from each side
x+20-20 = 32-20
x = 12
There are 12 5 dollar bills
2x3 - 5x2 + 3x + 7 = X-2
Let's solve your equation step-by-step.
2x3−5x2+3x+7=x−2
Step 1: Subtract x-2 from both sides.
2x3−5x2+3x+7−(x−2)=x−2−(x−2)
2x3−5x2+2x+9=0
Step 2: Factor left side of equation.
(x+1)(2x2−7x+9)=0
Step 3: Set factors equal to 0.
x+1=0 or 2x2−7x+9=0
x=−1
Answer:
x=−1
The given equation is rearranged into a polynomial equation, and can be solved using methods such as factoring, the quadratic formula, graphing, or completing the square.
Explanation:To solve this question, you first need to set the equation in order. You should arrange it as a quadratic equation (ax²+bx+c = 0). Given equation is:
2x³ - 5x² + 3x + 7 = x-2
We need to simplify this equation by adding '2' on both sides and subtracting 'x' from both sides:
2x³ - x - 5x² + 3x + 1 = 0
Now, it has been transformed into a polynomial equation with the variable x. Solving this kind of equation requires methods such as factoring, quadratic formula, graphing or completing the square.
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What is the 10th term to this sequence 2, 6, 18
Answer:
39366
Step-by-step explanation:
Answer:
1. 2
2. 6,
3. 18,
4. 54,
5. 162,
6. 486,
7. 1,456,
8. 4,368
9. 13,104
10. 39,312
Step-by-step explanation:
can someone please help me.
the answers to choose from are
A. 2
B. 30
C. 38
D. 45
The answer is c
If it was around 25.2 at 12
6 hour later it would have been 12 1/2 more or more
And 25+12=37 and u round it off to 38
And therefore your answer is 38
Please help me with this question please
Answer:
1 Goes with A. 2 Goes with C. 3 Goes with B.
Step-by-step explanation:
I counted them lol
Find the value of x, one side is 14, another is 48
It’s 50 you use the Pythagorean theorem
A^2 + B^2 = C^2
48^2 + 14^2 = C^2
2304 + 196 = C^2
2500= c^2
Then square root 2500 and you get 50
A kite was broken into two triangles of the same size and shape .
The area of each triangle is ? Square centimeters
20,40,80,160
The total are of the kite is ? Square centimeters
40,80,160,320
ANSWER
Each triangle:40 cm²
Kite : 80cm²
EXPLANATION
The area of a triangle is
[tex] \frac{1}{2}bh[/tex]
The height of the triangle is
[tex] h = \frac{1}{2} (10)=5cm[/tex]
and the base is 16 cm.
The area of each triangle is
[tex] = \frac{1}{2}(16)(5) = 40 {cm}^{2} [/tex]
2. The total area of the kite is 2 times the area of one triangle.
[tex] = 2 \times 40 = 80 {cm}^{2} [/tex]
Answer:
The first answer to your question is B=40
The second answer to your question is B=80
Step-by-step explanation:
Right on ED2021, goodluck!
Someone plz help ! So the marking period is almost done and I’m horrible at math and I really wanna graduate so someone plz help
Answer:
11: b = c - 0.5, where b is the bread and c is the cheese
12: h = b + 2, where h is the height and b is the base
13: p = 25b, where p is the plane ticket and b is the bus ticket
This Venn diagram shows sports played by 10 students
Answer:
please upload the complete image once again for better understanding.
Step-by-step explanation:
Answer:
The answer is 4/5
Step-by-step explanation:
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?
8
8√2
8√3
Answer:
8_/3
Step-by-step explanation:
tan60=arc/8
arc=8×_/3=8_/3 ans
Answer:
Its 8. I just did this lesson and got it right.
Step-by-step explanation:
what is the length of side EH if the ratio sides CD:GH is 2:3, saide AD is 8, Ab is 10, and figures ABCD and EFGH are similar
Answer:
[tex]EH=12\ units[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem
ABCD and EFGH are similar
so
CD is proportional to GH
AD is proportional to EH
[tex]\frac{CD}{GH}=\frac{AD}{EH}[/tex]
substitute the given values and solve for EH
[tex]\frac{2}{3}=\frac{8}{EH}[/tex]
[tex]EH=3*8/2=12\ units[/tex]
Find the domain and range!!! 10 points!! Help needed
ANSWER
B. Domain is (-∞,∞) and Range is (-∞,∞).
The given function is
[tex]f(x) = \sqrt[3]{x - 6} + 5[/tex]
This is function is obtained by shifting the base cubic root function 6 units to the right and 5 units up.
This function is defined for all real values of x.
Therefore the domain is all real numbers.
The range is all real numbers.
The domain for this function becomes the range for the inverse function and the range becomes the domain.
Hence the domain is (-∞,∞) and the range is (-∞,∞).
find the circumstance of the circle with the radius of 6
Answer:
Circumference=37.6991 or 38
Step-by-step explanation:
c=2[tex]\pi[/tex]r
c=2[tex]\pi[/tex]6
c=37.6991
Answer:
Step-by-step explanation:
c=2\pir
Find the length of each leg. Leave an answer in simplest radical form.
Answer:
[tex]x=8\sqrt{2}[/tex] units
Step-by-step explanation:
The given triangle is an isosceles right triangle.
This implies that, the second leg is also x units.
We use the Pythagoras Theorem to obtain:
[tex]x^2+x^2=16^2[/tex]
[tex]2x^2=256[/tex]
Divide both sides by 2; to get
[tex]x^2=128[/tex]
Take positive square root to get:
[tex]x=\sqrt{128}[/tex]
[tex]x=8\sqrt{2}[/tex]
Evaluate 6+4/a+b/3 a=4 b=3
Answer:
8
Step-by-step explanation:
6+4/4+3/3=8
For this case we have the following expression:
[tex]6+ \frac {4} {a} + \frac {b} {3}[/tex]
We must evaluate the expression when:
[tex]a = 4\\b = 3[/tex]
Substituting in the expression:
[tex]6+ \frac {4} {4} + \frac {3} {3} =\\6 + 1 + \frac {3} {3} =\\6 + 1 + 1 =\\7 + 1 =\\8[/tex]
ANswer:
The value of the expression when[tex]a = 4[/tex] and [tex]b = 3[/tex], is 8
Part of the graph representing an electrical signal is shown. The voltage rises steadily from an initial value (A) to a maximum value (B). It then drops instantly to the initial value (C) and repeats such that || and and are vertical. If A = (1, 1) and B = (4, 3), what is the equation of ?
A.
-3y − 2x = 5
B.
3y − 2x = 5
C.
3y − 2x = -5
D.
3y + 2x = 5
Answer:
D
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
big points answer all questions on pic
QUES 1)
Let x denote the gig of data used.
and y denote the monthly charge for use of data
We know that the equation of a line with given slope "m" and y-intercept "c" is given by:
y=mx+c
Runfast--
The monthly charge is: $ 8
and the cost of per gig of data is: $ 8
Since, the cost per gig represent the slope and fixed monthly charge represent the y-intercept.
Hence, the equation that is given by this set of information is:
[tex]y=8x+8---------(1)[/tex]
BA & D--
The monthly charge is: $ 15
and the cost of per gig of data is: $ 4
Hence, the equation that is given by this set of information is:
[tex]y=4x+15-----------(2)[/tex]
QUES 2)
We will substitute the value of y from equation (1) in equation (2) as follows:
8x+8=4x+15
i.e. 8x-4x=15-8
i.e. 4x=7
i.e. x=7/4=1.75
and the value of y is:
y=8×1.75+8
i.e. y=22
Hence, the cost of both the companies are equal when 1.75 gigs of data is used and the cost is: $ 22
( Since , the solution is: (1.75,22) )