Use #1-9 to identify each property below.
A. ab?.0=0
B. (7 + 5) + 1 = 7 + (5 + 1)
C. 6 = 6
D. 7(x – 3) = 7x - 21
E. x + (-x) = 0
F. if y = 3, then 3 = y
G. (a + b) + 0 = 0 + (a + b)
H. if x = -1, and -1 = z, then x = 2
I, 4x.1=4r
Answers
Here we need to see which axioms or properties are used in each case.
A: ab²×0 = 0
Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.
B: (7 + 5) + 1 = 7 + (5 + 1)
This is the associative property of addition, which says that we can perform the addition in any order we want.
C: 6 = 6
This is the reflexive property of equality, which says that every number is equal to itself.
D: 7(x – 3) = 7x - 21
This is the distributive property, which says that:
C*(A + B) = C*A + C*B
We can see that if we apply it to the left side we get:
7(x - 3) = 7x - 7*3 = 7x - 21
E: x + (-x) = 0
This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:
N + A = 0
Particularly, in the real set, we can see that A = -N
G: (a + b) + 0 = 0 + (a + b)
Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:
A + B = B + A
So the elements in the sum can commute.
H: if x = -1, and -1 = z, then x = z
This is the transitive property, we can apply it in the next way:
x = -1 = z
then x = z
So if both variables are equal to the same number, then the variables are equal.
I: 4x×1 = 4x
This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:
X*A =X
Particularly, A = 1.
X*1 = X.
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Answer:
Step-by-step explanation: I also need help
Related Questions
Sonali's father age is 5 year 3 times more then Sonali. find out Sonali age if her father age is 44.
Answers
Let assume the age of sonali be x
➡ Age of sonali = 3x + 5➡ Age of sonali father = 44According to the question[tex]\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}[/tex]
Now , Solving this linear equation.
[tex] \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}[/tex]
Hence , the age of sonali is 13 years.
Answer:
Sonali is 13 years old.
BRAINLIEST, PLEASE!
Step-by-step explanation:
Assigning variables:
s = Sonali, f = father
Setting up an equation:
f = 5 + 3s
Solving with substitution:
(44) = 5 + 3s
39 = 3s
s = 13
Checking the work:
44 = 5 + 3(13)
44 = 5 + 39
44 = 44
The gradient of the curve
[tex] y = {3x}^{x2} + 11x + 7 [/tex]
at point p(x,y) is -1. Find the coirdinate of P.
Answers
Answer:
Coordinate of P is (-2, -3)
Step-by-step explanation:
Gradient is the derivative of the curve:
[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]
but dy/dx is -1 :
[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]
substitute for x :
[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]
Find the distance between each pair of points (2, -6) and (7, -2)
Answers
Answer:
6.4 units
Step-by-step explanation:
The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So
a**2 + b**2 = c**2 where a is the x difference and b is the y difference
(2 -7)**2 + (-6 -(-2))**2 = c**2
-5**2 + -4**2 = c**2
25 + 16 = c**2
41 = c**2
41**(1/2) = (c**2)**(1/2) and ignore the negative because they're lengths
6.4 = c
Which number is a not a solution to the inequality m-8<2
Answers
3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A
Answers
Answer:
76( 6487235)
Step-by step explanation:
Lashonda made $144 for 12 hours of work.
At the same rate, how many hours would she have to work to make $216?
Answers
Imani earned $24 in interest after four years on an account that paid 6% simple interest annually. Use the formula 1 - Prt to find Imani's principal balance. (2 points)
Ο SS7.60
O $100.00
Ο Ο Ο
$576.00
Ο $1,000.00
Answers
Answer:
$5.76
Step-by-step explanation:
Prinkpal balance = $24^4^6% =5.76
The principle amount will be equal to $100. The correct option is B.
What is simple interest?The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.
The principle amount will be calculated by using the simple interest formula.
SI = ( P x R x T ) / 100
24 = ( P x 0.06 x 4 )
P = 24 / ( 0.06 x 4 )
P = $100
Therefore, the principle amount will be equal to $100. The correct option is B.
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(a+b)²......what is the answer
Answers
Answer:
(a+b)^2
= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)
Answer:
There can be 2 answers
Step-by-step explanation:
a²+2ab+b²= (a+b)²
or
(a+b)×(a+b)
= (a+b)²
22. Juan and Mary each earn $7 an hour at a part time job.
If on a certain day Juan works 34 hours and Mary works
21 hours, what is the total amount of their earnings that day?
Answers
Answer:
Juan- $238
Mary- $147
Step-by-step explanation:
if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.
Find the area of the triangle.
A. 5.7 ft
B. 8 ft
C.0.1 ft
D. 16 ft
Answers
Answer:
formular 1/2 × base × height
1/2 × 2 × 8
16/2 = 8 ft
ans 8 ft
Answer:
Step-by-step explanation:
a = 2 ft ; b = 8 ft ; C = 91
[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]
This is my second time posting this can anyone help me PLZ !!
Answers
Answer:
Third one
Step-by-step explanation:
right = +
left = -
up = +
down = -
x - 7 + 3
Drag the numbers below to put them in order from least to greatest:
2.2
2.291 2.27% 2.14 2.26 2.221
Wats the answer?
Answers
So the answer is :
2.27%, 2.14, 2.2, 2.221, 2.26, 2.291
For which of the following displays of data is it not possible to find the range?
Choices:
line plot
Frequency table
histogram
stem and leaf plot
Answers
Answer:
stem and leaf plot
Step-by-step explanation:
you can't find the range from a stem and leaf plot
What is the reference angle for 283°?
Answers
Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?
Answers
Answer:
60 degrees
Step-by-step explanation:
just add 33 and 27
Answer:
60°C
Step-by-step explanation:
27 - (-33) = 27+33 = 60
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more miles did he run in February than in January? Roman Numeral Standard Number 1 5 10 50 1 V X L С C D M 100 500 1,000 A) 18 B) 22 C) 23 D)43
Answers
Answer:
c.23
Step-by-step explanation:
easy keep sendin em
How many faces does a cube have
Answers
Answer:
6
Step-by-step explanation:
it has 6 sides
please give brainliest
Answer:
6 faces
Step-by-step explanation:
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
Answers
Answer:
1.) x = 150
2.) x = 8.5
Step-by-step explanation:
1.)
[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]
2.)
[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]
Answer:
1. x = 150
2. x = 8.5
Step-by-step explanation:
1. x/5 + 10 = 40
Get x by itself and then solve for x.
First, subtract 10 from both sides
x/5 + 10 - 10 = 40 - 10
x/5 = 30
Then, multiply by 5 to get x by itself.
x/5 = 30
x/5 * 5 = 30 * 5
x = 150
2. 4x - 36 = -2
Get x by itself and then solve for x.
First, add 36 to both sides
4x - 36 + 36 = -2 + 36
4x = 34
Then, Divide each side by 4
4x/4 = 34/4
x = 8.5
Find the value of x .
Answers
Answer:
10
Step-by-step explanation:
By using intersecting chord theorem:
NH.HT=MH.HY
(x+20)*8=12*20
x+20=12*20/8
x+20=240/8
x+20=30
x=30-20
x=10
Find the missing exponent.
8) 6X = 7,776
Answers
Answer:
x=1,296
Step-by-step explanation:
6x=7,776
x=7,776/6
x=1,296
2 similar caps cost as much as 3 similar shirts.
4 such caps and 3 such T-shirts cost $36.60
Find the cost of a cap, and the cost of 3 T-Shirts
Answers
Answer:
a=dollars6.10
b=dollars12.20
Step-by-step explanation:
Cap=x T-shirt=y
2x=3y 4x+2y=36.6
4x+ 3y=36.6 x=6.10
a) 4caps: 6.10
b) 3T-Shirt:3y=2x=2×6.10= 12.20
(According to Task)
An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.
Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,
2c = 3t
Solve the equation for c,
c = (3/2)t....... equation 1
Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,
4c + 3t = 36
Substitute the value of c from equation 1,
4(3/2)t + 3t = $36
6t + 3t = $36
9t = $36
t = $4
Now, substitute the value of t in the equation to get the value of c,
c = (3/2)t
c = (3/2) × $4
c = $6
Further, the cost of a cap, and the cost of 3 T-Shirts is,
Total Cost = c + 3t
= $6 + 3($4)
= $6 + $12
= $18
Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.
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Subtract.
−135−(−258)
Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]
Answers
Answer:
123/1
Step-by-step explanation:
-135- (-258)
123
123/1
brainliest is appreciated
The solution for the graph below is:
Answers
-6(-p + 8) = -6p + 12
Answers
p=5
explanation:
distribute the -6 and simplify
Answer:
p = 5
Step-by-step explanation:
[tex]-6(-p+8)=-6p+12\\6p-48=-6p+12\\12p-48=12\\12p=60\\p=5[/tex]
que expresión es equivalente a 7,299?
Answers
Answer:
Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.
~what is 2x-9=5x+12 with the step by step
Answers
Answer:
x = -7
Step-by-step explanation:
Please view the detailed answer in the image attached
Answer:
[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]
Step-by-step explanation:
x = -7
The temperature at 10 A.M. is 12 degrees Fahrenheit. The temperature at 6:00 A.M.
was -7
degrees Fahrenheit. How many degrees did the temperature rise?
Answers
Answer:
19 degrees Fahrenheit.
Step-by-step explanation:
19-7=12
Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?
Answers
Answer:
64, 65, 66
Step-by-step explanation:
16 x 4 = 64
13 x 5 = 65
6 x 11 = 66
^^
4x - 6 ≥ 6x - 20 helppp
Answers
Answer:
[tex]x \leq 7[/tex]
Interval notation: (-∞ , 7]
Step-by-step explanation:
Hi there!
[tex]4x - 6 \geq6x - 20[/tex]
Add 20 to both sides:
[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]
Subtract 4x from both sides:
[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]
Divide both sides by 2:
[tex]7 \geq x\\x \leq 7[/tex]
I hope this helps!
Find the 11th term of the arithmetic sequence
2x - 2, 5x – 9, 8x – 16,...
Answers
Answer:32x -72
Step-by-step explanation: