Answer:
B. Commutative Property
Step-by-step explanation:
A. Distributive property :
for example we take 256 × 1008
256 × 1008
256 ×(1000 +8)
(256 × 1000) + (256 × 8)
256000 + 2064
Answer : 258064
Distributive is distributing a number that contains 0's to make it easier for one self
B. Associative Property of Addition :
for example (230 + 125) + (390 + 460)
if we change it like this or in any order than particularly changes the grouping
(230 + 460) + (390 + 125)
D. Associative Property of Multiplication
(230 × 125) × (390 × 460)
it's the same as the previous example just in Multiplication
The equation demonstrates the commutative property of addition, which states that the order of addition does not affect the sum. Hence option C is the answer.
The equation a + (b + 7) = (b + 7) + a is an example of the commutative property of addition. This property states that the order in which two numbers are added does not change the sum.
In other words, for any numbers a and b, the equation A+B = B+A holds true. This principle applies to ordinary numbers; for example, adding 2 + 3 will give the same result as adding 3 + 2.
The parallel lines on top of each other confuse me,any help?
Set it up.
Make the equations equal to 180° because they are on a straight line. And a straight line adds up to 180°
I NEED HELP REALLY BAD!
The area is 168 yd²
Step-by-step explanation:The area of Trapezoid is given by
A= (a+b)/2 * h
Putting the values
A = (5+23)/2 * 12
A = 168 yd²
Answer:
A = 168 Square Yards
Factor the polynomial: x^3+x^2+x+1
Answer:
(x+1)(x2+1)
Step-by-step explanation:
Factor x3+x2+x+1
x3+x2+x+1
=(x+1)(x2+1)
also a great website for your problems is called mathpapa-algebra calculator
During the spring and summer months, the Happy Home Motel sees a rise in travelers. The manager of the motel turned in this report of how many travelers stayed at the Happy Home Motel. Month Number of Travelers March 217 April 232 May 252 June 277 July 307 August ? If the Happy Home Motel continues to follow this pattern, how many travelers will stay during August?
Answer:
342
Step-by-step explanation:
Let's see the difference is each successive values:
232 - 217 = 15
252 - 232 = 20
277 - 252 = 25
307 - 277 = 30
As we can see, each month the increase is 5 more than previous months' increase. Clearly from the pattern we can surmise that the next month (August), it will increase by 35 from the value of July.
Number of visitors in August = Number of Visitors in July + 35 = 307 + 35 = 342
Answer:
342
Step-by-step explanation:
Habeas Corpus: legal writ or order. Guarantees a prisoner the right to be heard in a court
write a short sentence using the word habeas corpus in it.
Habeas corpus is the right to have one’s detention reviewed by a judge
Answer:
a prisoner’s right to inquire why he or she is being detained
Step-by-step explanation:
Given that the circles are congruent, can you conclude that YZ=BC?
Answer options: yes, no
Answer:
Answer is yes
Step-by-step explanation:
Given in the picture are two circles which are congruent.
This suggests that the radii of the two circles are equal.
Also the central angle of the two circles are congruent (given)
Consider triangles ABC and XYZ,
AC =XY: AB = YZ:
Angle A = Angle X
By SAS theorem, the two triangles are congruent.
Hence BC = YZ
So yes is answer.
I need help plz show steps
Answer:
D
Step-by-step explanation:
We will solve the equation by using quadratic formula.
x= (-b ± √(b^2-4ac))/2a
The standard form of quadratic equation is:
ax^2+bx+c=0
So by comparing with the standard form, we get:
a=1
b= -4
c=18
Putting the values in the formula
x= (-(-4)± √((-4)^2-4(1)(18)))/2(1)
x = (4± √(16-72))/2
x = (4± √(-56))/2
The minus sign in square root will introduce the imaginary symbol.
x = (4± √(14*4*(-1)))/2
The minus 1 can be replace by the imaginary i => i^2 = -1
x = (4± √(14*2^2*i^2 ))/2
The terms with squares can be brought out of the square root
So,
x = (4± 2i√14)/2
Taking 2 as common
x = (2(2± i√(14)))/2
x = 2± i√14
There are 5 red pens,3 blue pens and 2 green pens in a box. Gary takes at random a pen from the box and gives the pen to his friend. Gary then takes at random another pen from the box . work out the probability that both pens are the same colour.
please help
➷ Find the total number of pens:
5 + 3 + 2 = 10
The probability of taking a red the first time is 5/10
The probability of taking a blue the first time is 3/10
The probability of taking a green the first time is 2/10
If you want to take the same colored pen again, there would be 1 less of the total pen (as it hasn't been replaced) and there would be one less of that color (as one has already been taken)
Therefore:
The probability of taking a red again is 4/9
The probability of taking a blue again is 2/9
The probability of taking a green again is 1/9
Multiply the values for the same color together:
5/10 x 4/9 = 20/90
3/10 x 2/9 = 6/90
2/10 x 1/9 = 2/90
Add these values together:
20/90 + 6/90 + 2/90 = 28/90
Your answer is 28/90
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Is this answer ok, please help?
Answer:
Step-by-step explanation:
Unfortunately not...
The shape is a triangle, and the area formula is A=[tex]\frac{1}{2}[/tex]bh.
b = 5 ft.
h = 4 ft.
Therefore:
A = [tex]\frac{1}{2}[/tex](5)(4)=10ft
The isosceles triangle has two sides of equal length , a , that are longer than the length of the base , b. The perimeter of the triangle is 15.7 centimeters. The equation 2a+b=15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base ?
Answer:
Step-by-step explanation:
Since the length of one of the longer sides, a, has been given to be 6.3, plug it into the equation.
2(6.3) + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6
b = 3.1
Answer:
Equation that can be used to find length of the base is b + 12.6 = 15.7 and the length of the base we get from this equation is 3.1 cm
Step-by-step explanation:
Given:
Length of the equal side of the Isosceles Triangle = a
Length of the base of the triangle = b
Equal sides are longer than base of the triangle.
Perimeter of the triangle = 15.7 cm
Equation representing given information = 2a + b = 15.7
To find: Equation that represent or can be used to find length of the base if longer side = 6.3 cm
Given Equation is the Equation representing the perimeter of the isosceles triangle.
Longer side = 6.3 cm = Length of the Equal Sides of the triangle.
So, a = 6.3 cm
Now,
2 × 6.3 + b = 15.7
b + 12.6 = 15.7
b = 15.7 - 12.6
b = 3.1 cm
Therefore, Equation that can be used to find length of the base is b + 12.6 = 15.7 and the length of the base we get from this equation is 3.1 cm
The area is a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Round to the nearest whole number.
Answer:
The solution is [tex]x=6\ cm[/tex]
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
we have
[tex]A=56\ cm^{2}[/tex]
so
[tex]56=LW[/tex] ------> equation A
[tex]L=x+2[/tex] -----> equation B
[tex]W=2x-5[/tex] -----> equation C
Substitute equation B and equation C in equation A
[tex]56=(x+2)(2x-5)[/tex]
solve for x
[tex]56=(x+2)(2x-5)\\56=2x^{2}-5x+4x-10\\2x^{2}-x-66=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]2x^{2}-x-66=0[/tex]
so
[tex]a=2\\b=-1\\c=-66[/tex]
substitute in the formula
[tex]x=\frac{1(+/-)\sqrt{-1^{2}-4(2)(-66)}} {2(2)}[/tex]
[tex]x=\frac{1(+/-)\sqrt{529}} {4}[/tex]
[tex]x1=\frac{1(+)23} {4}=6[/tex]
[tex]x2=\frac{1(-)23} {4}=-5.5[/tex]
The solution is [tex]x=6\ cm[/tex]
[tex]L=6+2=8\ cm[/tex]
[tex]W=2(6)-5=7\ cm[/tex]
find the height, round to the nearest hundredth
Area is 72units squared
Answer:
[tex]\large\boxed{h=10\dfrac{2}{7}}[/tex]
Step-by-step explanation:
The formula of an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
We ahve b = 14 and A = 72. Substitute:
[tex]72=\dfrac{14h}{2}[/tex] multiply both sides by 2
[tex]144=14h[/tex] divide both sides by 14
[tex]h=\dfrac{144}{14}\\\\h=\dfrac{144:2}{14:2}\\\\h=\dfrac{72}{7}\\\\h=10\dfrac{2}{7}[/tex]
how do I simplify 15x+42-8y+20-4x
Answer:
[tex]\large\boxed{15x+42-8y+20-4x=11x-8y+62}[/tex]
Step-by-step explanation:
[tex]15x+42-8y+20-4x\\\\\text{combine like terms}\\\\=(15x-4x)-8y+(42+20)\\\\=11x-8y+62[/tex]
You add like terms together.
Ex. You would add 15x and(-4x) together, giving you 11x
So to simplify it, you need to do 15x-4x, 42+20, and 8y would be left by itself since there are no like terms for 8y.
So the simplified version would be: 11x+62+8y
Factor this trinomial: x2−2x−24
Then, select both correct factors below.
Question 4 options:
(x−6)
(x−4)
(x−2)
(x+6)
(x+4)
It’s (x-6)(x+4) so the first one and last one
For this case we must factor the following expression:
[tex]x ^ 2-2x-24[/tex]
We must find two numbers that when added together give "-2" and when multiplied by "-24"
These numbers are:
[tex]-6\ and\ +4\\-6 + 4 = -2\\-6 * + 4 = -24[/tex]
So:
[tex]x ^ 2-2x-24 = (x-6) (x + 4)[/tex]
Answer:
[tex](x-6) (x + 4)[/tex]
Option A and D
What is the product of (2x^2+5x-3) and (3x+7)
Answer: option D.
Step-by-step explanation:
To solve this exercise you must apply the proccedure shown below:
- Apply the Distributive property (Remember that when you multiply two powers with the same base, you must add the exponents).
[tex]b^m*b^n=b^{(m+n)}[/tex]
- Add the like terms.
Therefore, you obtain that the product is:
[tex](2x^2+5x-3)(3x+7)=6x^3+14x^2+15x^2+35x-9x-21\\=6x^3+29x^2+26x-21[/tex]
An expression is defined as a set of numbers, variables, and mathematical operations. The product of (2x²+5x-3) and (3x+7) is 6x³ + 29x² + 26x - 21.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The product of (2x²+5x-3) and (3x+7) can be done as,
(2x²+5x-3) × (3x+7)
= 3x(2x²+5x-3) + 7(2x²+5x-3)
= 6x³ + 15x² - 9x + 14x² + 35x - 21
= 6x³ + 29x² + 26x - 21
Hence, the product of (2x²+5x-3) and (3x+7) is 6x³ + 29x² + 26x - 21.
Learn more about Expression:
https://brainly.com/question/13947055
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how do I find the x value of this triangle? thank youuuu
answer = 42
if you look at the triangle you see a small square in the corner indicating that the triangle is a 90 degree angle, therefore all the sides add up to 90. With this knowledge just add the values of the two known sides, 18 and 30, which is 48 and then subtract 48 from 90 which gives you the value of x, 42
PERFORM THE MULTIPLICATION
(x–3)^2(x+3)^2
SOMEONE PLZZZ HELP
Answer:
81 is the answer
Step-by-step explanation:
Answer:
Hold up im solving it
Step-by-step explanation:
what is the solution set for |x/2|=8
Answer:
The correct answer option is x = -16 and x = 16.
Step-by-step explanation:
We are given the following equation and we are to find the solution for this equation:
[tex] | \frac { x } { 2 } | = 8 [/tex]
For the given equation, involving the modulus, we will have a positive as well as a negative value for it in order to find its solution set.
[tex] \frac { x } { 2 } = - 8 [/tex] and [tex] \frac { x } { 2 } = 8 [/tex]
[tex] x = 8 \times 2 [/tex] and [tex] x = - 8 \times 2 [/tex]
x = -16 and x = 16
Answer:
The correct answer is last option
x = -16 or x = 16
Step-by-step explanation:
it is given that,
|x/2| = 8
To find the solution set
From this we can understand that , the value of x/2 = - 8 or x/2 = 8
If x/2 = -8 then x = -8 * 2 = = -16
If x/2 = 8 then x = 8 * 2 = 16
Therefore the solutions are
x = -16 or x = 16
Write an equation of the line that passes through the point (12.2) and has a slape of -1/4
answer :
y=-1/4x+5
my work:
y=mx+b
2=-1/4(12)+b
2=-3+b
+3 +3
5=b
y=-1/4x+5
Answer:
y = - [tex]\frac{1}{4}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{1}{4}[/tex], hence
y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (12, 2) into the partial equation
2 = - 3 + c ⇒ c = 2 + 3 = 5
y = - [tex]\frac{1}{4}[/tex] x + 5 ← equation of line
Please please please please PLEASE answer
Yea it’s the second one
Fill in the blank so that the ordered pair is a solution of y=8x+3.
Answer:
11
Step-by-step explanation:
8 plus 3 i dunno know if it is forsure but yeah.
Can someone help me pls
Answer:
D. $240,000
Step-by-step explanation:
find $40,000 on the chart - then find 45 years old / 60% - go down the chart and over to the right and you'll find 6.0
multiply 40,000 * 6.0 = 240,000
hope this helps!!
The answer is D. 240,000
Hope this helps : )
Find the value of y. Round answer to the nearest tenth if needed
Answer:
y = 54.1
Step-by-step explanation:
The big triangle is divided in two: one on the left and one on the right. Lets start working with the right one.
We know the right triangle is a right triangle with legs 24 and 36, so we can use Pitagoras to find the hypotenuse (h), in a way that:
24^2 + 36^2 = h^2
1872 = h^2
Applying sqr root in both sides:
h = 43.27
So, the hypotenuse measures 43.27 or 43.3.
Now lets do the same with the triangle of the right which legs are 36 and y, lets find it hypotenuse (g):
36^2 + y^2 = g^2
1296 + y^2 = g^2
Now we will pass to the large triangle, which is composed by the left and the right triangles and has legs of 43.3 and g, and the hypotenuse is 24+y. Lets apply Pitagoras:
43.3^2 + g^2 = (24+y)^2
1875 + 1296 + y^2 = 24^2 + 48y + y^2
3171 + y^2 = 576 + 48y + y^2
As we have y^2 in both sides we can eliminate them
3171 + = 576 + 48y
Now subtract 576 in both sides:
3171 -576 = 576 + 48y - 576
2595 = 48y
Divide both sides by 48:
2595/48 = 48y/48
54.1 = y
So, the large hypotenuse measures 54.1+24 = 78.1. Lets verify:
43.3 ^2 + 1296 + 54.2^2 = 6,108.53
And the sqrd root of 6,108.53 is approximately 78.1. Verified!!!!
So, we can confirm: y = 54.1
What is the slope of the line?
The slope is
[tex] - \frac{1}{3} [/tex]
a fruit drink is made by mixing lemon juice, orange juice and lime juice in the ratio 5:2:3 james makes 400ml of the fruit drink how much lemon juice is used
Answer:
200ml
Step-by-step explanation:
5+2+3=10
400/10=40
Since lemon's ratio is 5, you multiply 40 by 5 to get 200.
recognizing the no-solution case algebraically
need geometry help!!
Answer:
"The values for y are square roots of negative numbers"
Step-by-step explanation:
The steps shown are correct. But at the end we can see that we have to "take the negative square roots".
This means we have to take the square root of -1. In the real number system, we CANNOT take the square root of any negative number. Hence, there is NO SOLUTION to the system.
2nd answer choice, "The values for y are square roots of negative numbers", is right.
Point W(5, -6) is reflected across the line y = -x. Which of the following is the location of its image, W’.
(-5, -6)
(5, 6)
(-6, 5)
(6, -5)
(6, -5)
Key Concepts for Reflections:if (a, b) is reflected on the x-axis, the image is the point (a, -b)if (a, b) is reflected on the y-axis, the image is the point (-a, b)if (a, b) is reflected on the line y = x, the image is the point (b, a)if (a, b) is reflected on the line y = -x, the image is the point (-b, -a)(5, -6) --> (-5, 6)
Hope this helps!!
I'd right the key concepts for future reference!
:D
Answer:
(6,-5)
Step-by-step explanation:
Help!! Not good with Slope! especially with no dots! Brianliest answer offered!!
Find two "dots" where the line crosses the X and Y axis at real numbers.
(0,3) and (6,-1)
Now find the slope which is the difference in Y over the difference in x.
Slope = (-1 - 3) / (6-0) = -4 / 6 = -2/3
The answer is D.
i need a little help because i forgot how to do this
simplify. y^2y^3
Answer:
[tex]y^{5}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Hence
[tex]y^{2}[/tex] × [tex]y^{3}[/tex] = [tex]y^{(2+3)}[/tex] = [tex]y^{5}[/tex]
PLZ HURRY IT'S URGENT!!!!
What is 3/25 written as a decimal? A. 0.3 B. 0.12 C. 0.15 D. 0.22
Answer:
B. .12 is the decimal
Step-by-step explanation:
What you do is you divide 25 by 3. That will already give you a decimal and when you divide it out your answer is .12.
3/25=.12.
Answer:
The correct answer is 0.12
Step-by-step explanation:
3 = numerator
25 = denominator
Divide the numerator by the denominator to convert a fraction to a decimal.
3 ÷ 25 = 0.12
as a decimal is
0.12
.
Answer: The answer is B. 0.12
Step-by-step explanation: