Answer:
B is the correct use of the commutative property.
Step-by-step explanation:
Let's use the process of elimination.
We can see that A is not using the commutative property because the sum of the numbers in the parentheses are just being combined.
C doesn't work because they just added 1/3 and 3/4, which doesn't work.
And finally D doesn't work because they used the distributive property instead.
B works because they combined 1/4 and 3/4 to equal 1, an easy number to calculate, and added 1/3 to get a final answer is 1 1/3.
So B is the answer.
Hope this helped! Have a great day!
Answer:
B is the correct answer for commutative property
Step-by-step explanation:
determine algebraically, whether the following function is ever, odd, or neither. g(x)= x^ square root of 1+x
The function g(x)= x^ square root of 1+x is neither an even function nor an odd function
How to determine the function type?The function is given as
g(x)= x^ square root of 1+x
Rewrite the above function equation properly
So, we have
g(x) = x^(√x+1)
Calculate g(-x)
So, we have
g(-x) = -x^(√-x+1)
Evaluate
g(-x) = -x^(√-x+1)
Calculate -g(x)
So, we have
-g(x) = -x^(√x+1)
In the above computations;
g(x) does not equal g(-x) and -g(x)
Hence, the function g(x)= x^ square root of 1+x is neither an even function nor an odd function
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Please help I really don’t know how to answer this
Answer:
Step-by-step explanation:
Find the real and imaginary solutions of each equation.
2 x³-16=0
The 3rd degree polynomial equation 2 x³ -16 = 0 has 1 real solution x₁=2 and two imaginary solutions x₂= -1 + √3 i and x₃= -1 - √3 i
The given equation is:
2 x³ -16 = 0
This is a 3rd degree polynomial equation.
Divide both sides by 2, we get:
x³ - 8 = 0
Add both sides with 8:
x³ = 8
Root characteristics: If a 3rd degree polynomial equation has the form
x³ = b
Then, it has 1 real solution and 2 imaginary complex conjugate solutions.
Furthermore,
x₁ = ∛b
x₂,₃ = ½.∛b (-1± √3 i)
Apply this to the given problem, we have:
x₁ = ∛8 = 2
x₂ = ½. 2 (-1 + √3 i) = -1 + √3 i
x₃ = ½. 2 (-1 - √3 i) = -1 - √3 i
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Mr raymond teaches dance he has 18 6th graders students and 24/7 grader students he wants to put the students in equal groups each group will have students of only one grade level how many students should be in each group how many of each group will be there very nice thank you
Using greatest common factor (GCF), Mr. Raymond should put 6 students in each group. If that happens, he will have 3 groups of 6th graders and 4 groups of 7th graders.
The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.
If Mr. Raymond has 18 6th graders students and 24 7th grader students he wants to put in equal groups wherein each group will have students of only one grade level, find the GCF of 18 and 24 to find how many students he will put in each group.
18 : 1, 2, 3, 6, 9, 18
24 : 1, 2, 3, 4, 6, 8, 12, 24
GCF = 6
Hence, he should put 6 students in each group.
Dividing each level of students to groups of 6.
6th graders = 18/6
6th graders = 3 groups
7th graders = 24/6
7th graders = 4 groups
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The orca whale can swim 17 and 1/4 in 40 minutes.how far can the orca whale swim in 1 hour.
Do it step by step:
Here is one way of working this out - find out how far the whale can swim in 1 min.
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.1 hour = 60 mins so multiply how far the whale can swim in 1 min (0.53333333333333333333333333333333) by 60 to get how far the whale can swim in 1 hour. = 60*0.53333333333333333333333333333333 = 32 miles.
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.1 hour = 60 mins so multiply how far the whale can swim in 1 min (0.53333333333333333333333333333333) by 60 to get how far the whale can swim in 1 hour. = 60*0.53333333333333333333333333333333 = 32 miles.Here is another way of working this out - by fractions.
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.1 hour = 60 mins so multiply how far the whale can swim in 1 min (0.53333333333333333333333333333333) by 60 to get how far the whale can swim in 1 hour. = 60*0.53333333333333333333333333333333 = 32 miles.Here is another way of working this out - by fractions.1 hour = 4 quarters hours
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.1 hour = 60 mins so multiply how far the whale can swim in 1 min (0.53333333333333333333333333333333) by 60 to get how far the whale can swim in 1 hour. = 60*0.53333333333333333333333333333333 = 32 miles.Here is another way of working this out - by fractions.1 hour = 4 quarters hours1 and one forth of an hour = 5 quarter hours
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.1 hour = 60 mins so multiply how far the whale can swim in 1 min (0.53333333333333333333333333333333) by 60 to get how far the whale can swim in 1 hour. = 60*0.53333333333333333333333333333333 = 32 miles.Here is another way of working this out - by fractions.1 hour = 4 quarters hours1 and one forth of an hour = 5 quarter hoursit takes the whale 5 quarter hours to swim 40 miles so how far can it swim in 4 quarter hours or 4/5 ths of the time.
Here is one way of working this out - find out how far the whale can swim in 1 min.1 and 1/4 hours = 60 + 15 mins = 75mins.The whale can swim 40 miles in 75 mins. So devide 40 by 75 and this is how far it can swim in 1 min. = 40/75 = 0.53333333333333333333333333333333 miles.1 hour = 60 mins so multiply how far the whale can swim in 1 min (0.53333333333333333333333333333333) by 60 to get how far the whale can swim in 1 hour. = 60*0.53333333333333333333333333333333 = 32 miles.Here is another way of working this out - by fractions.1 hour = 4 quarters hours1 and one forth of an hour = 5 quarter hoursit takes the whale 5 quarter hours to swim 40 miles so how far can it swim in 4 quarter hours or 4/5 ths of the time.ie 4/5*40 = 32miles
determine whether an observational study or an experimental study is used. a study was done on two groups of overweight individuals. group 1 was placed on a healthy, moderate diet. group 2 was not given any diet instructions. after 1 month, the members were asked how many times they engaged in binge eating. the results of the two groups were compared.
An experimental study is used in the given situation.
Observational Study is defined as the type of study where there is no influence on the response of the participant.
Experimental Study is defined as the type of study where the participant is put into a setup and then the participants are observed .
In the given question ,
As the individual are first categorized into to two groups , one on a healthy, moderate diet and the other group not on any diet.
So, we can see that in this a setup has been created , they are put in different conditions , and then they are observed .
Therefore , an experimental study is used in the given situation.
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if you on edg its b the middle one
Answer:
what?
Step-by-step explanation:
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A soup company ordered 57 shipments of carrots. There were 901 carrots in each shipment. How many carrots did the company order in all?
Answer: 51357
901×57=51357
Convert 40 km/hr to m/s. Show work and 11 in to mm.
Answer:
11.1111 for 40 km
279.4 for 11 in
Step-by-step explanation:
Your friend invested $ 1000 in an account that pays 6 % annual interest. How much interest will your friend have after her college graduation in 4 years?
a. Is an exponential model reasonable for this situation?
The interest the friend will have after her college graduation in 4 years is $240 and an exponential model is not reasonable for this situation.
The formula to be used to is given as :
I = Prt (1)
where, I = simple interest
P = principal amount or amount initially deposited.
r = annual interest rate
t = time
According to the question we have been given that
P = $1000
r = 0.06
t = 4 years
Putting the required values in equation (1) we get
I = 1000*0.06*4
I = 240
Thus $240 interest the friend will have after her college graduation in 4 years.
a) the exponential model is not reasonable for this situation as simple interest is not an exponential function.
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The population of Cypress Lake is 7.2 x 10 residents. A survey determines that the average resident uses 2,900 gallons of water each year. Which expression represents the estimated total water usage by all Cypress Lake residents in one year? A B C D 2.088 x 10¹ gallons 2.088 x 105 gallons 2.088 x 108 gallons 2.088 x 10 gallons
Answer:
2.088 x 10^5
Step-by-step explanation:
7.2 x 10 x 2.9 x 10^3 = 20.88 x 10^4
= 2.088 x 10^5
What is 45 divided by 9 times 12 step by step
Answer:
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
First divide 45 by 9.
After you divide you should have 5.
Next you multiply 5 times 12.
Which gives you 60.
Hope this helps! :)
If a right triangle has a leg that is 6 feet and the hypotenuse is 14 feet, find the length of the 3rd side. Round to the nearest hundreth.
O 12.65 feet
O 12.7 feet
O 12.64 feet
O 15.23 feet
The length of the third side of the right triangle is 12.65 feet.
What is Pythagoras theorem?It states in a right triangle the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.
We have,
Right triangle:
Side = A = 6 feet
Hypotenuse = h = 14 feet
Let the 3rd side be = M
Applying Pythagoras theorem:
h² = A² + M²
14² = 6² + M²
196 = 36 + M²
M² = 196 - 36
M² = 160
M = √160
M = 2√10
M = 2 x 3.1622
M = 12.649
Rounding to the nearest hundredth we get,
M = 12.65
Thus the length of the third side of the right triangle is 12.65 feet.
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The walker family went on a 3-day road trip. on day 2 they traveled three times as far as they did on day 1 . on day three they traveled 40 miles less than they did on day 2. if the total distance they traveled is 240 miles, how far did they travel each day?
On day 1 they travel 40 miles , on day 2 they travel 120 miles, on day 3 they travelled 80 miles.
what is linear equation ?
A linear equation is a kind of equation that has the highest power of the variable is always 1 is also called as a one-degree equation.
By the linear equation, lets assume family travelled x miles on day 1 then, According to the question, family travelled on day 2 is = 3x miles family travelled in day 3 is = 3x - 40 miles now the travel 240 miles in total then by addition x + 3x + 3x -40 = 240
7x -40 = 240,
7x = 280
x = 40 miles
day 1 =40 miles
day 2 = 120 miles
day 3 = 80 miles
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Simplify. 5 √3 -2√12
The answer is square root of 3
The given equation contains square root forms hence we must simplify it before proceeding further
we know that 12= 2^2 *3
Thus applying it in the equation, the equation becomes
5[tex]\sqrt{3}[/tex]-2[tex]\sqrt{12}[/tex]
Thus writing 12 as 2^2X3
5[tex]\sqrt{3}[/tex]-2[tex]\sqrt{2^2*3}[/tex]
Now taking out square root of 2^2 which is 2,
the equation becomes
5[tex]\sqrt{3}[/tex]-4[tex]\sqrt{3}[/tex]
=[tex]\sqrt{3}[/tex]
Thus the answer is square root of 3
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Nassim buys petrol from his local garage on Monday he filled up his tank on Tuesday his tank was 3/4 full what fraction of the tank was full of petrol had he used
The fraction of the tank that was full of petrol that he had used is 1/4
Calculating fractionsFrom the question, we are to determine the fraction of the tank that was full of petrol that he has used
From the given information,
On Monday, Nassim filled up his tank
and
On Tuesday, his tank was 3/4 full
The fraction of the tank when filled is 1/1, that is, 1
Thus,
The fraction of the tank that he had used = 1 - 3/4
The fraction of the tank that he had used = 1/4
Hence, the fraction of the tank that was full of petrol that he had used is 1/4
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In which of the following combination, both fractions can be simplified as a whole number?
2/2 , 3/2
4/2 , 3/6
2/2 , 6/2
5/2 , 3/2
Answer:
2/2, 6/2
Step-by-step explanation:
2/2 can be simplified as 1 and 6/2 can be simplified as 3
7.18 x 10-7 and 3.4 x 10-9
Determine the area of the computer chip
The area of the computer chip is 2.44 x 10^-15 square units
What are areas?The area of a shape is the amount of space on the shape
How to determine the area of the computer chip?The dimensions of the computer chip are given as
7.18 x 10^-7 and 3.4 x 10^-9
The area of the computer chip is the product of the dimensions of the computer chip
So, we have
Area = Length x Width
This gives
Area = 7.18 x 10^-7 x 3.4 x 10^-9
Rewrite as
Area = 7.18 x 3.4 x 10^-7 x 10^-9
Evaluate the products
Area = 24.412 x 10^-16
Rewrite as
Area = 2.4412 x 10^-15
Approximate
Area = 2.44 x 10^-15
Hence, the area of the computer chip is 2.44 x 10^-15 square units
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125-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
Answer:
Total length of the pipe = 125 inches
Let the shorter piece be x inches
So, the longer piece is 4x.4x + x = 1255x = 125x = 25
Therefore, the lengths of the two pieces are 25 inches and 100 inches
Step-by-step explanation:
At a sale this week, a table is being sold for $211.20 . This is a 68% discount from the original price. What is the original price?
Answer:
$310.59
Step-by-step explanation:
68% of what number is 211.20
.68x = 211.20 Divide both sides by .68
x = 310.5882352968 Round to the nearest cent
x = 310.59
Dionne slides a flag shaped like an isosceles triangle up to the top of a 9-meter flagpole. How many congruent angles does the flag have now? congruent angles
Answer:
So There will be 2 congruent angle
18-2x = 4x
Drag and drop the reasons into the boxes to correctly complete the table.
18-2z=4r
18=6z
Combine Like Terms Division Property of Equality Given Addition Property of Equality
Dist
Answer:
18-2x=4x is given
18=6x is addition property of equality
3=x is I think division property of equality bc you divided to get x=3
Please answer with work
Answer:
7. 17
8. -7
9. 64/3 or 21 1/3
Step-by-step explanation:
7. 3x-4 and the value of x is 7. Plug 7 into the x values in the expression that is given.
3x-4 --> 3(7) - 4
When simplified, 3(7) - 4 becomes 21-4 which is 17.
8. -5x+8 and the value of x is 3. Same as before, but this time you'll plug 3 into the x values in the given expression.
-5x+8 --> -5(3) + 8
When simplified, -5(3) + 8 becomes -15+8 which is -7.
9. 10x+18 and the value of x is 1/3. Plug in 1/3 into the x values in the expression.
10x+18 --> 10(1/3)+18
When simplified, 10(1/3)+18 becomes 10/3+18. To solve this, turn 18 in a fraction over 3. 3x18=54 and that gives you the numerator. 10/3+54/3= 64/3. If you wanted it in a mixed fraction, it would be 21 1/3.
The functions f(x) and g(x) are shown.
f (x) = ( 1 ) *
-x+6
g(x)=k for some value of k
The only solution to the equation f (x) = g(x) is x = 4.
Enter the value of k in function g(x).
The value of k in function g of x is x-2.
What is function in mathematics?A function in mathematics can be defined which from a set X to a set Y that is to allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and range or sometimes refer to the codomain of the function , respectively.
In mathematics, a function is an expression, rule, or law that establishes the relationship between a single variable (the independent variable).
In the given question,
function of x = (1)* (-x+6)
and function of g = g of x = k
now the solution of equation is,
f (x) = g (x) is x = 4.
taking, putting x =4 in (1)* (-x+6)
=> x = -4 + 6 = 2
now for g of x to be 4 the value of k should be x-2
as when x = 4 , g of x = x-2 = 4-2 = 2 = f of x
Thus, The value of k in function g of x is x-2.
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Solve each equation. Round to the nearest ten-thousandth. 3 x=36
The result to the equation given by rounding this to the nearest ten-thousandth is 4.0000.
What does it mean to round off?Rounding off means simplifying a number by keeping its overall value but moving it closer to the next number. It is used for whole numbers and decimals with tens, hundreds, thousands, and so on.
What precisely seems to be the rounding off rule?If the digit in the smallest spot is less than 5, it is left alone. Rounding down occurs when any number of digits then after the number become zero. If the digit inside the smallest place is larger than or equal to 5, it is multiplied by +1.
Solving the equation 3 x=36 for x:the equation 3 x=36
3x = 36
x = 36/3
x = 4.0000
the answer to the equation given is = 4.0000
The result to the equation given by rounding this to the nearest ten-thousandth is 4.0000.
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[tex]-61 = 8 - 1/3 (12w + 42) - w[/tex]
The variable w is as follows:
[tex]w = \frac{393+\sqrt{189221} }{12}[/tex][tex]w = \frac{393-\sqrt{189221} }{12}[/tex]How to find the variable in an equation?We have to find the variable w in the equation.
-61 = 8 - 1 / 3(12w + 42) - w
subtract 8 from both sides of the equation
-61 = 8 - 1 / 3(12w + 42) - w
-61 - 8 = 8 - 8 - 1 / 3(12w + 42) - w
-69 = - 1 / 3(12w + 42) - w
69 = 1 / 3(12w + 42) + w
Therefore,
[tex]\frac{1}{3(12w+42)}+w[/tex] = 69
[tex]\frac{1+3w(12w+42)}{3(12w+42)}[/tex] = 69
[tex]\frac{1 + 36w^{2} +126w}{3(12w+42)}[/tex] = 69
cross multiply
1 + 36w² + 126w = 2484w + 8694
36w² + 126w - 2484w - 8694 + 1 = 0
36w² - 2358w - 8693 = 0
using,
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
a = 36
b = -2358
c = -8693
Hence,
[tex]\frac{2358+\sqrt{(-2358)^{2}-4(36)(-8693) } }{2(36)}[/tex] and [tex]\frac{2358-\sqrt{(-2358)^{2}-4(36)(-8693) } }{2(36)}[/tex]
Therefore,
[tex]w = \frac{393+\sqrt{189221} }{12}[/tex] and [tex]w = \frac{393-\sqrt{189221} }{12}[/tex]
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10points!! help please
What is the product of −2/14 and 2/12?
Answer:
-0.0238095238
Step-by-step explanation:
12x + 2=5x - 26 whast is ans
Answer:
X= -4
Step-by-step explanation:
12x+2=5x−26
12+2−2=5−26−2
Answer:
x=−4
Step-by-step explanation:
Subtract from both sides
Simplify then subtract 5x from both sides
Example:
In triangle DAB, D = x, m
Answer:
Step-by-step explanation:
It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle.
[tex]x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8[/tex]
The value of x = 16, y = 172 and z = 2.
x - 4z = 12x - y - 6z = 42x + 3y - 2z = 8
let x - 4z = 8 be equation (1), 12x - y - 6z = 8 be equation (2) and 42x + 3y - 2z = 8 be equation (3)
x - 4z = 8
x = 8 + 4z
12x - y - 6z = 8
12(8 + 4z) -y - 6z =8
96 + 48z - y - 6z = 8
42z - y = -88
y = 42z + 88
42x + 3y - 2z = 8
42(8+4z) + 3(42z + 88) - 2z = 8
336 + 168z + 126z + 264 - 2z = 8
168z + 126z + 2z = 336+264 - 8
296z= 592
z = 2
substituting the value of z
x = 8 + 4z
= 8 + 4(2)
8+8 = 16
y = 42z + 88
42(2) + 88
84 + 88= 172
The value of x = 16, y = 172 and z = 2.
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