Answer:
The property is the neutral element, in this case, it's the 0
The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.
According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:
[tex]\(a + (-a) = 0\)[/tex]
In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:
[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]
So, the equation is justified using the additive inverse property of real numbers.
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yeah i suck at math
for the math experts again!
Answer:
985
Step-by-step explanation:
The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.
What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4
Step-by-step explanation:
Add all the data and divide by 2 to get your median
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
What is a median?The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given below.
17, 8, 23, 14, 15, 38.5, 8, 15.4
Arrange the data in ascending order, then we have
8, 8, 14, 15, 15, 15.4, 17, 23, 38.5
The number of the term will be 9, then the median will be
Median = (n + 1) / 2
Median = (9 + 1) / 2
Median = 10 / 2
Median = 5th term
5th term that is 15.
The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.
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Find the value of x .
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
rajan has two coloured ropes of lengths 720 cm and 540 cm. if he is cutting them into pieces of equal length, what is the greatest possible length of each equal piece so that there is no wastage?
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
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
Which number is a not a solution to the inequality m-8<2
Guided Practice
The value of a car depreciates every year. Suppose you buy a new car for $17,000, and each year its value is only 90% of what it was the previous year. Write an equation that represents the value of the car, y, after x years.
A.
y=0.90 · 17,000xy equals 0.90 times 17,000 superscript x baseline
B.
y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline
C.
y=17,000 · 0.10xy equals 17,000 times 0.10 superscript x baseline
B.
y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Since the car’s initial value was $17,000, a = 17,000. Since the car retains 90% of its value each year, b = 0.90.
What does the term "cube root" mean?
If you graph a function and it is a horizontal line, it will pass the vertical line test.
True or False
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?
Answer:
19 degrees Fahrenheit.
Step-by-step explanation:
19-7=12
What is the solution of the equation?
10 points!!! plus brainlest to correct answer
3.1x + 3.3 = 12.6
a.) 3.4
b.) 5.1
c.) 3
d.) 4
Answer:
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
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
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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2(x-8) + 4x = 6(x - 2) - 4
Answer:
They are equal.
Step-by-step explanation:
2(x-8)+4x=6(x-2)-4
Distribute: 2(2•x-2•8)+4x=6(6•x-6•2)-4
2x-16+4x=6x-12-4
Combine Like-Terms: (2x+4x)-16=(-12-4)6x
6x-16=6x-16
Since both sides are equivalent, all numbers are solutions.
The equation 2(x - 8) + 4x = 6(x - 2) - 4 is -16 = -16 which means that
the equation has infinitely many solutions.
We have,
Let's solve the given equation step by step:
2(x - 8) + 4x = 6(x - 2) - 4
Distribute on both sides of the equation:
2x - 16 + 4x = 6x - 12 - 4
Combine like terms on both sides:
6x - 16 = 6x - 16
Subtract 6x from both sides to isolate the constants:
-16 = -16
The equation -16 = -16 is true, which means the given equation is an identity.
This implies that the original equation is true for all values of x; there is no specific value of x that satisfies it.
Therefore,
The equation has infinitely many solutions.
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if 2x+1 is a factor of 2x³ +x²-kx-1, find the value of k
Answer:
k=2
Step-by-step explanation:
Find the zeros of the factor
2x+1=0
x=-½
Plug x=-½ into the function and equate to 0
2(-½)³+(-½)²-k(-½)-1=0
2(-1/8)+¼+½k-1=0
-¼-1+¼+½k=0
-1+½k=0
½k=1
k=2
Step-by-step explanation:
2x+1=0
x=-1/2
Now p(x)= 2x^3 + x^2 -kx-1
subtitute value of x:
p(-1/2)= 2(-1/2)^3 + (-1/2)^2 -k(-1/2)-1
p(-1/2)=2*-1/8+1/4+k/2-1
p(-1/2)=-1/4+1/4+k/2-1
p(-1/2)=k/2-1
2x+1 is the factor of p(x) so
k/2-1=0
k/2=1
k= 2
3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A
Answer:
76( 6487235)
Step-by step explanation:
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?
Answer:
64, 65, 66
Step-by-step explanation:
16 x 4 = 64
13 x 5 = 65
6 x 11 = 66
^^
Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?
Answer: 140 sit-ups
Step-by-step explanation:
1 set= 28 sit ups
28 * 5= 140
Answer:
140
Step-by-step explanation:
28 times 5
-6(-p + 8) = -6p + 12
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]
Find the distance between each pair of points (2, -6) and (7, -2)
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
[tex]\frac{x+19}{-2} = 5[/tex]
Answer this question <3
Answer:
[tex] \frac{x + 19}{ - 2} = 5 \\ x + 19 = 5 \times ( - 2) \\ x + 19 = - 10 \\ x = - 19 - 10 \\ \boxed{x = - 29 }[/tex]
The value of x is -29.Pls help with this function
Emergency
Answer:
rational function is the correct answer
que expresión es equivalente a 7,299?
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.
~4x - 6 ≥ 6x - 20 helppp
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!
Subtract.
−135−(−258)
Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]
Answer:
123/1
Step-by-step explanation:
-135- (-258)
123
123/1
brainliest is appreciated
or x ² + y ²+ 85-104 +57.0 +25=0
d) Equation of two diameters are xty=1 and doch lyss
and mdurc- Sunit
Answer: use cymath it helps you alot when you need it for math problems
Step-by-step explanation:
Find the area of this circle please.Use 3 for pi…Thank you
Answer:
27 ft^2
Step-by-step explanation:
r = 3 ft (that's the radius)
and pi = 3
A = pi r^2
or
3 * r^2
plug in r = 3
so 3 * 3^2 = 3 * 9 = 27 ft^2
(note: 3^2 = 3 * 3. Squaring means we multiply the number by itself)
Type the correct answer in the box. Write your answer as a whole number.The radius of the base of a cylinder is 10 cm, and its height is 20 cm. Colon is used to fill the cylinder with water. The radius of the cone base is 5 cm, and its height is 10 cm. The number of times one needs to use the completely filled colon to completely fill the cylinder with water is *blank*
Answer: 24 times
Step-by-step explanation:
volume of cone: (1/3)×5^2×π×10=250π/3 cm^3
volume of cylinder: 10^2×π×20=2000π cm^3
2000π/(250π/3 )=2000π×(3/250π)=24
How many faces does a cube have
Answer:
6
Step-by-step explanation:
it has 6 sides
please give brainliest
Answer:
6 faces
Step-by-step explanation:
Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?
Answer:
60 degrees
Step-by-step explanation:
just add 33 and 27
Answer:
60°C
Step-by-step explanation:
27 - (-33) = 27+33 = 60