A) Inverse Property of Multiplication
B) Commutative Property of Addition
C) Commutative Property of Multiplication
D) Associative Property of Addition
Answers
This is the Commutative property of multiplication, which states that two numbers can be multiplied in any order to create the same number.
That tells us that when we're multiplying, it gives us the same value when you multiply two numbers in different orders. Just like here, we have the same numbers, -7/8 and 10, but the difference is they're in different orders, they mean the same thing. For example:
4 *5 = 5* 4
Keep in mind that it doesn't always work with other operations. Observe:
4-5 ≠ 5-1
Also,
4/5 ≠ 5/4
Commutative doesn't work in subtraction and division, only multiplication and adding.
Hope this helps!
Related Questions
The science club raised money to clean the beach the spent $29 on trashbags and $74 on waterproof boots I still have $47 left how much did they raise
Answers
The 8 foot diameter circular table has a 4 foot wide extension. What is the total area with the extension? How does the area compare to the area of the 10 foot diameter table? Show your work.
Answers
This figure is made up of a quadrilateral and a semicircle.
What is the area of this figure?
Use 3.14 for pi. Round your final answer to the nearest tenth.
15.7 units²
17.9 units²
25.7 units²
31.4 units²
Answers
Answer:
Option B. 17.9 units²
Step-by-step explanation:
This figure consist of two figures
1). One quadrilateral
2). One semicircle
Now to get the area of total figure
= Area of triangle + area of semicircle
1). Area of quadrilateral = length × width
= √(3-1)²+(1-2)² × √(3-1)²+(1+3)² = √(4 + 1) ×√(4 + 16) = √5×2√5 = 10
2) Area of semicircle = (1/2)πr²
Radius of the circle = (1/2)√(3-1)²+(1+3)² = (1/2)√(4 + 16) = (1/2)(√20)
r = √5
Area of semicircle = (1/2).(π).(√5)² = (1/2).(3.14)(5) = 7.85
Area of the total figure = 10 + 7.85 = 17.85 ≈ 17.9 units²
Option B is the correct answer.
Assume x = 5, y = 6, and z = 8. what is the value of the expression?
Answers
helpppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Option D is correct.
value of x is 48
Step-by-step explanation:
Solve: [tex]\frac{x}{64}=\frac{3}{4}[/tex]
Cross multiply in the given equation we get;
[tex]x \cdot 4 = 3 \cdot 64[/tex]
Simplify:
[tex]4x = 192[/tex]
Divide both sides by 4 we get;
[tex]\frac{4x}{4}=\frac{192}{4}[/tex]
Simplify:
[tex]x = 48[/tex]
Therefore, the value of x is 48
A bakery packages cookies in two sizes of boxes, one with 18 cookies and the other with 24 cookies. A small number of cookies are to be wrapped in cellophane before they are placed in a box. To save money, the bakery will use the same size cellophane packages for each box. How many cookies should the bakery place in each cellophane package to maximize the number of cookies in each package?
Answers
Final answer:
The bakery should place 6 cookies in each cellophane package to maximize the number of cookies per package and fit them evenly in both sizes of boxes. This is found by calculating the greatest common divisor (GCD) of the box sizes, which in this case is 6.
Explanation:
To solve the problem of how many cookies the bakery should place in each cellophane package to maximize the number of cookies in each package, we need to find the greatest common divisor (GCD) of the two box sizes, which are 18 cookies and 24 cookies. The GCD represents the largest number of cookies that can be evenly distributed in both box sizes without any leftovers.
Step-by-step Solution:
List the divisors of 18: 1, 2, 3, 6, 9, 18.List the divisors of 24: 1, 2, 3, 4, 6, 8, 12, 24.Find the largest number that appears on both lists, which is 6.Thus, the bakery should use cellophane packages that contain 6 cookies each to maximize the number of cookies per package and ensure that they fit evenly in both the 18-cookie box and the 24-cookie box.This way, both the smaller and the larger box sizes can be filled with equal-sized packages of cookies, and there will be no leftover cookies.
HELP FAST PLEASE!!!
A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 8 ft. above the ground, what is the angle that the telephone pole makes with the ground?
29.7 degrees
55.2 degrees
60.3 degrees
34.8 degrees
Answers
From the given information , we can make a rough figure as shown in attachment.
Now in the given triangle we can use following formula of sin to get the angle,
[tex] sin x = \frac{Perpendicular}{opposite} [/tex]
We can see from the figure that:
perpendicular = 8 and opposite =14.
Plugging the given values in the formula for sin x,
[tex] sin x = \frac{8}{14} [/tex]
sin x = 0.5714
to find x we have to find sin inverse of 0.5714 ,
x = sin⁻¹(0.5714)
x=34.8 degrees.
Answer : the angle that the telephone pole makes with the ground is 34.8 degrees. option D
Rewrite this inequality so that one side is 0.
x2 − 2x + 1 < x − 1
Answers
To rewrite the inequality so that one side is 0, simply subtract x and add 1 to both sides, resulting in the inequality x² - 3x + 2 < 0.
To rewrite the inequality x² - 2x + 1 < x - 1 so that one side is 0, we follow these steps:
Bring all terms to one side of the inequality by subtracting x and adding 1 to both sides, resulting in x² - 3x + 2 < 0.
Now, the inequality is set up with one side equal to 0, and we can analyze or solve the inequality from here.
Match the reasons to the statements in the proof.
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180°
Subtraction property of equality
2. m∠1 + m∠5 = m∠1 + m∠4
Substitution
3. m∠5 = m∠4
If alternate interior angles equal, then lines are ||.
4. Ray YZ is parallel to Ray UV
Given
Answers
Given
2. m∠1 + m∠5 = m∠1 + m∠4
Substitution
3. m∠5 = m∠4
Subtraction property of equality
4. Ray YZ is parallel to Ray UV
If alternate interior angles equal, then lines are ||.
Answer:
1. [tex]m\angle 1+m\angle 5=180^{\circ}[/tex] and [tex]m\angle 1+m\angle 4=180^{\circ}[/tex]; given
2. [tex]m\angle 1+m\angle5=m\angle 1+m\angle4[/tex]; substitution
3.[tex]m\angle5=m\angle4[/tex]; subtraction property of equality
4. Ray YZ is parallel to ray UV; if alternate interior angles equal , then lines are parallel.
Step-by-step explanation:
Given
[tex]m\angle1+m\angle5=180^{\circ}[/tex]
[tex]m\angle 1+m\angle4=180^{\circ}[/tex]
To prove that YZ is parallel to UV.
Proof:
1.Statement: [tex]m\angle 1+m\angle5=180^{\circ}[/tex] and [tex]m\angle1+m\angle4=180^{\circ}[/tex]
Reason; Given
2. Statement: [tex]m\angle1+m\angle5=m\angle 1+m\angle4[/tex]
Reason: By using substitution property
3.Statement: [tex]m\angle5=m\angle4[/tex]
Reason: Subtraction property of equality.
4.Statement: Ray YZ is parallel to Ray UV
Reason: If alternate interior angles equal, then lines are parallel.
find the lateral area of the given prism
Answers
26 is the height
6 is the width
15 is the length
2(26)(6+15) 2(26) means you multiply them
52 (21)
1092m² is you answer
East Ascension High School is creating a rectangular parking lot behind the school. The width of the parking lot is 8 more yards than the length. The total area of the parking lot is 65 yds2. What are the length and the width of the parking lot?
A Not enough information
B length = 13 yards width = 21 yards
C length = 5 yards width = 13 yards
D length = 10 yards width = 6 yards
Answers
Since A, B, and D all contain a width that is NOT 3 times larger than the length, they can be eliminated.
Hope this helps!:)
~Scarlett
Which statement is true about the parts of this expression?
7.5y-z/9+50+2y
he constant is 7.5.
The coefficients are 7.5 and -9
The variables are x and y.
the like terms are 7.5y and 2y
Answers
Second, False because -z/9, you can understand it as [tex] \frac{-1}{9}z [/tex]. So, 7.5 and -1/9 are the coefficient, not 7.5 and -9.
Third, False, because z and y suppose to be the variable, not x and y variable.
Last, True because they both have the term y multiplies by a coefficient.
Answer:
The answer is, the like terms are 7.5y and 2y.
I just got a 100% on my test
Which of the following is equal to the rational expression when x 2 or -4? 5(x-2)/(x-2)(x+4)
Answers
Answer: 5/x+4
Step-by-step explanation: a pex
Write the expression as a product of polynomials:
a(p–q)+q–p
p^2q+r^2–pqr–pr
PLZ ANSWER ASAP
Answers
1. a(p–q)+q–p
We take out common factor
To change q - p as p - q we pull out -1
So q - p becomes -1(p - q)
a(p–q)+q–p
a(p–q) -1(p - q)
p -q is in common so we factor out p-q
(p - q) (a - 1)
2. p^2q+r^2–pqr–pr
WE change the order of terms
[tex] p^2q-pqr+r^2-pr [/tex]
We group first two terms and last two terms
[tex] (p^2q-pqr)+(r^2-pr) [/tex]
Now we factor out pq from first group and -r from second group
[tex] pq(p-r) - r(p - r) [/tex]
[tex] (p - r) (pq - r) [/tex]
To write the answer as a product of polynomials we try to factor the polynomial
a(p–q)+q–p
we can write this expression as
a(p-q)+(q-p)
from second parenthesis we can factor out -1 , so we get
a(p-q) -1(p-q)
Now it has two terms a(p-q) and -1(p-q) , from these two terms we can factor out (p-q)
So we get it
(p-q)(a-1)
So we get the polynomial as a product of two polynomials.
Second
[tex] p^2q+r^2- pqr-pr [/tex]
we can rewrite the expression as
[tex] (p^2q- pqr)+(r^2-pr) [/tex]
Now try to factor the groups
factor out "pq" as GCF from first group and "-r" as GCF from second group
[tex] pq(p- r)-r(p-r) [/tex]
Now we can factor it out for final step
[tex] (p- r)(pq-r) [/tex]
A circle has a radius of 6 in.
What is the exact length of an arc formed by a central angle measuring 45°?
Express your answer using π
Answers
circumference = 2πr
The radius of the given circle = 6 in.
The circumference of the circle = 2π *6
= 12π in.
circumference of a complete circle is when the central angle is 360°.
we are asked to find the length of an arc when the central angle is 45°.
the length when central angle is 360° = 12π
therefore when central angle is 45° = 12π /360 * 45
the length of the arc = 1.5π in.
What is the greatest common factor of 14c^3, 70c^4, and 28c^2
Answers
[tex]14 {c}^{2} [/tex]
Answer:
14c^2
Step-by-step explanation:
The greatest common factor is the factor between the 3 expressions that once divided by each expression, 1 becomes the only number common to all 3. Considering all the expressions as follows (broken into all the factors that make up each expression)
14c^3 = 2 × 7 × c × c
70c^4 = 2 × 5 × 7 × c × c × c × c
28c^2 = 2 × 7 × c × c
From the above, the common factors are 2, 7, c and c,the product of these
= 2 × 7 × c × c
= 14c^2
A blueprint was using a scale of 3 cm=4.5m. find the actual length if it is 5 cm on the drawing. show work
Answers
3cm ---> 4.5m
5cm ---> x
Clearing the value of x we have:
x = (5/3) * (4.5)
x = 7.5 m
Answer:
the current length if it is 5 cm on the drawing is:
x = 7.5 m
The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determined by its length (x). Which describes what the point (2, 0) represents? The area is 2 if the length is 0. The area is 0 if the length is 2. The length is 2 if the width is 0. The width is 0 if the length is 2.
Answers
x------------> the length of Maya’s poster
w-----------> the width of Maya’s poster
y------------> Area of Maya’s poster
we know that
y=x*w
and
w=x-2
so
y=x*(x-2)-------------> y=x²-2x
using a graph tool
see the attached figure
the point (2, 0) represents that the area is 0 if the length is 2,
because the point (x,y) of the graph
x represent the length and y represent the area
Find the slope of (2,3) and (6,7)
Answers
Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)
Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.
I'll use the first coordinate as our #1.
(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer
Which set of points correctly demonstrates a pre-image that has been is reflected over x = -1? A(0,-1) and A'(4,-1) A(0,-5) and A'(0,3) A(-5,0) and A'(3,0) A(0,-4) and A'(0,4)
Answers
A(0, -1) and A'(4, -1)
See if the x-values are the same distance from -1.
|0 - (-1)| = 1
|4 - (-1)| = 5
The distances are different so let's try the other one:
A(-5, 0) and A'(3, 0)
See if the x-values are the same distance from -1.
|-5 - (-1)| = 4
|3 - (-1)| = 4
The distances are the same, so these points correctly demonstrate a pre-image that has been reflected over x = -1.
The correct set of points that demonstrate a pre-image that has been reflected over x = -1 is A(0,-1) and A'(−2,−1).
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
To reflect a point over the line x = -1, we simply need to flip the x-coordinate of the point across the line. In other words, if a point has coordinates (x,y), its image after reflection over x = -1 will have coordinates (-x,y).
Using this rule, we can check each of the given options:
A(0,-1) and A'(4,-1): The reflection of A(0,-1) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(4,-1) does not fit this requirement, so this is not the correct set of points.A(0,-5) and A'(0,3): The reflection of A(0,-5) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(0,3) does not fit this requirement, so this is not the correct set of points.A(-5,0) and A'(3,0): The reflection of A(-5,0) over x = -1 should have an x-coordinate of 5, which means it should be (-5,0). A'(3,0) does not fit this requirement, so this is not the correct set of points.A(0,-4) and A'(0,4): The reflection of A(0,-4) over x = -1 should have an x-coordinate of -0, which means it should be the same as the original point. A'(0,4) does not fit this requirement, so this is not the correct set of points.Therefore, the correct set of points is A(0,-1) and A'(−2,−1).
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If two figures have the same perimeter, they are congruent. True or false?
Answers
Two figures may be different shape and have the same perimeter (a square and a circle, for example). If they are different shape, they will not be congruent.
Multiply and simplify if possible.
√5x(√x - 5 √5)
Answers
x√5 - 25√x
17+4h+2=1−5h solve for h
Answers
17+4h+2 = 1-5h
4h+5h = 1-2-17
9h = -18
h = -2
The value of h for the expression will be -2.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 17+4h+2=1−5h. The value of "h" will be calculated as below:-
17+4h+2 = 1-5h
4h+5h = 1-2-17
9h = -18
h = -2
Therefore, the value of h for the expression will be -2.
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Sebuah prisma dengan alas berbentuk belah ketupat mempunyai panjang diagonal 24 cm dan 10 cm. jika tinggi prisma 8 cm , maka luas permukaan prisma adalah
Answers
A prism with a rhombus pedestal has a diagonal length of 24 cm and 10 cm. if the height of the prism is 8 cm, then the surface area of the prism is
we know that
h=8 cm
D=24 cm
d=10 cm
Area of the rhombus=(d*D)/2=10*24/2=120 cm²
now calculate the side of the rhombus with Pythagorean theorem
L=√(d/2)²+(D/2)²=√(10/2)²+(24/2)²=13 cm
surface area of the prism=[120*2+13*8*4]=656 cm²
the answer is 656 cm²
the answer in Malay
kami tahu itu
h=8 cm
D=24 cm
d=10 cm
Kawasan rombus=(d*D)/2=10*24/2=120 cm²
kini mengira sisi rombus dengan teorem Pythagoras
L=√(d/2)²+(D/2)²=√(10/2)²+(24/2)²=13 cm
kawasan permukaan prisma=[120*2+13*8*4]=656 cm²
jawapannya ialah 656 cm²
Write an inequality to represent a number decreased by 15 is at least 4
Answers
The inequality that represents the number decreased by 15 is at least 4 will be equal to x - 15 ≥ 4.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values.
Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given data in the question,
Let the number be x.
Number is decreased by 15 which is at least equal to 4.
Then, the inequality will be,
x - 15 ≥ 4
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The non-congruent angle in an isosceles triangle is called the
Answers
Hope this helps =)
The non-congruent angle in an isosceles triangle is called the vertex angle.
What is an isosceles triangle?
An isosceles triangle is a triangle that has at least two sides of equal length.
Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
The two angles opposite to the equal sides are congruent with each other. That means it has two congruent base angles and this is called an isosceles triangle base angle theorem.
The angle which is not congruent to the two congruent base angles is called an apex angle.
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What are the asymptotes of the graph of f(x) ?
Answers
The 3rd and 4th choices are appropriate.
_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.
Choose the correct simplification of the expression a to the 7th power times b to the 8th power all over a to the 4th power times b to the 4th power
Answers
[tex] \frac{ a^{7} b^{8} }{ a^{4} b^{4} } [/tex]
When you will simplify this fraction, you can divide the expressions. Based on the law of exponents when you divide like terms with different exponents, you can subtract the exponents of the denominator from the numerator.
So if you will simplify the equation:
[tex] \frac{ a^{7} b^{8} }{ a^{4} b^{4} } [/tex]
Subtract the following:
Exponents of a 7-4 and;
Exponents of b 8-4
Your answer should be
[tex] a^{3} b^{4} [/tex]
Hannah is saving money for a car. She earns $160 each week working part time after school and on the weekends at Papa's Pizza. Hannah currently has $1,280 in savings. Her parents put $50 in her savings account each week and she saves one-half of her paycheck each week. Which expression represents the situation? (n represents the number of weeks)
Answers
Since we know that Hanna currently has $1,280 in her saving's account and each week she and her parents deposit $130 to the account, with [tex]n[/tex] representing the number of weeks, we can model the situation as follows:
[tex]f(n)=1280+130n[/tex]
Answer:
The answer is A because
Step-by-step explanation:
1,280 in savings
160n
2
Hannah saves each week
50n parents put in savings each week
thus,
1,280 + 160n/2+ 50n
1,280 + 80n + 50n
1280 + 130n
You really have to think this one through all the way. All the other answer choices are steps in finding the answer
PLEASE HELP ME!!
BRAIINLIEST WILL BE GIVEN
Answers
Hope this helps,
♥A.W.E.S.W.A.N.♥