Answer:
A) equal
B) equal
C) equal
D) not equal
Step-by-step explanation:
The pairs of options (A), (B), and (C) of expressions came out to be equal.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.
We want to determine if the expressions in each answer option have the same value
A. 36 divided by 3+3 and 2^2 + 2.
⇒ 36/(3+3) =36/6 =6
⇒ 2² + 2 = 4 + 2= 6.
Here, pair of expressions that came out to be equal
B. -(2/3)^2 and 4/9.
⇒ -(2/3)² = 4/9
Here, pair of expressions that came out to be equal
C. 8(-9) and - 12 - 60.
⇒ 8(-9) = -72
⇒ - 12 - 60 = -72
Here, pair of expressions that came out to be equal
D. 1+2/4 and 1 - 1/4.
⇒ 1+2/4 = 6/4
⇒ 1 - 1/4 = 3/4
Here, the pair of expressions came out to be not equal.
Thus, the pairs of options (A), (B), and (C) of expressions came out to be equal.
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Find the additive inverse of the linear expression. −2x+5 __
The answer is 2x-5
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here: linear expression. −2x+5
Thus the additive inverse is -2x+5+2x-5=0
Hence, the additive inverse is 2x-5
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Is an example of a zero pair?
The Zero pairs is defined as the pair where the sum of all the elements is zero and one such example of zero pair is (-5,5) .
What is Zero Pair ?
The Zero Pair is defined as the pair of element (a,b) , where the sum of elements "a and b" are zero , that means ⇒ [tex]a+b=0[/tex] .
Few Examples of Zero Pairs are :
(i) the ordered pair (2,-2) is a Zero Pair because ,
⇒ [tex]2+(-2)[/tex]
⇒ [tex]2-2[/tex]
⇒ 0 .
(ii) the ordered pair (8,-8) is a Zero Pair because ,
⇒ [tex]8+(-8)[/tex]
⇒ [tex]8-8[/tex]
⇒ 0 .
(iii) the ordered pair (5,-5) is a Zero Pair because ,
⇒ [tex]5+(-5)[/tex]
⇒ [tex]5-5[/tex]
⇒ 0 .
Therefore , the examples of zero Pair are (2,-2) , (5,-5) and (8,-8) .
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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $11. The auditorium can hold a maximum of 130 people. The drama club must make a minimum of $1100 from ticket sales to cover the show's costs. Also, they can sell at least 90 adult tickets. If x x represents the number of student tickets sold and y y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
The graph for the inequality is attached below.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
Each student ticket sells for $6.50 and each adult ticket sells for $11.
let the number of student ticket sold be x and number of adult ticket sold be y.
so, the inequality is
x + y < 130
and, 6.5x + 11y >1100.
Solving the inequality we get
x= 73.33 and y = 56.667
Now, if they sell at least 90 adult tickets then they sell at most 40 children ticket.
Hence, the solution is (73.33, 56.667).
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If grapes are $1.99/pound and you buy 2.25 pounds of grapes, how much change will you receive if you hand the cashier a $5 bill
Using simple mathematical operations, we know that we will get a change of $0.5.
What are mathematical operations?An operation is a function in math that transforms zero or more input values into a strictly delineated output value.
The operation's arity is influenced by the number of operands.
For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "×" Finding the quotient in division ("÷)
So, we know that:
Grapes cost $1.99.
We purchased 2.25 pounds of grapes.
The change we will receive if we gave a $5 bill will be:
5 - (1.99*2.25)
5 - 4.4775
0.5225
Rounding off: $0.5
Therefore, using simple mathematical operations, we know that we will get a change of $0.5.
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A farm has 14 cows and 10 horses. Write the
ratio of cows to horses as a fraction in lowest
terms.
Answer: 7:5
Step-by-step explanation: 14/2 = 7 and 10/2 = 5
I am truly sorry if it was wrong or i did not understand ty.
- ♥ Roxy ♥
Find the coordinates of the circumcenter of the triangle with the vertices:
A(4, 12), B(14, 6), and C(-6, 2)
The coordinate of the circumcenter of the triangle is A'(9,9) , B' ( 4,4) and C' ( -2,7)
What is circumcenter of a triangle?Circumcenter of triangle is the point where three perpendicular bisectors from the sides of a triangle intersect or meet. The circumcenter of a triangle is also known as the point of concurrency of a triangle.
Also the circumcenter is the intersection point of the perpendicular bisectors of sides of a triangle. It is the centre of a triangle's circumcircle.
Since circumcenter Is the point of perpendicular bisector
the bisect of line AB (A') is (14+4)/2 , (12+6)/2 = (9,9)
the bisect of line BC (B') is (14-6)/2 , (6+2)/2 = (4,4)
The bisect of line AC (C') is( 4-6)/2 , (12+2)/2 = ( -2,7)
Therefore the the coordinates of the circumcenter of the A'(9,9) , B' ( 4,4) and C' ( -2,7)
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On the third grid, create a graph of the set of points (2+5t, 3-4t) for -2 ≤ t ≤ 7 pm the xy-plane
The graph of the set of the points has the constraints -8≤2+5t≤37 & -25≤3-4t≤11
What is an inequality?An inequality is an inequation separated by <,>≥,≤
Given here: The set of points (2+5t,3-4t) in the xy-plane
when -2≤t≤7 set of points (2+5t,3-4t)
then 2+5×-2≤2+5t≤2+5×7
-8≤2+5t≤37
Again, 3-4×-2≤3-4t≤3-4×7
-25≤3-4t≤11
We can construct a graph using the above accordingly
Hence, The graph of the set of the points has the constraints -8≤2+5t≤37 & -25≤3-4t≤11
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What are exponents for Grade 7?
Exponents are a way to represent the repeated multiplication of a number by itself. The exponent is written as a small number raised to the right of the base number.
For example, in the expression 2^3, 2 is the base and 3 is the exponent. This means 2 multiplied by itself 3 times, equal to 2 x 2 x 2 = 8. The exponent tells how many times the base is multiplied by itself.
In grade 7, students typically learn the basic rules of exponents such as how to multiply and divide numbers with the same base, and how to raise a power to a power. They also learn about scientific notation, which is a way of writing very large or tiny numbers using exponents.
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someone help please thank you
Answer:
distance = (62t) + 22
Step-by-step explanation:
Distance = speed * time
distance = (62*t) + 22
Hope this helps!
p) find the sum of the infinite geometric series:
a1 = -20 a5 = -1650 r = 3
The sum of the infinite geometric series is 10
How to solve for the infinite geometric seriesFrom the values that we have, the first term a1 = - 20, the common ratio r = 3
From the above we can get the first 5 terms of the geometric series. We do this by multiplying each number derived by 3
this would be :
-20, -60, -180, -540 , -1650 ...
The formula for the sum of the infinite geometric series is given as
S = a1 / 1 - r
from the question we have
a1 = -20
r = 3
we would put the values into the formula
S = -20 / 1 - 3
S = -20 / -2
s = 10
Hence the sum is given as 10
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The reflection rule is (x,y) = _____ where the equation of line t is _
The reflection rule is (x, y) = (y, x)) where the equation of line t is y = x
How to find the equation of line tThe slope, m of the linear function is calculated using the points on the graph (4, 4) and (2, 2)
m = (y₀ - y₁) / (x₀ - x₁)
m = (4 - 2) / (4 - 2)
m = (2) / (2)
m = 1
Equation of the line t passing through point (0, 0) applying the point slope formula
(y - y₁) = m' (x - x₁)
y - 0 = 1(x - 0)
y = 1(x)
y = x
The equation of the line is y == x
Refection rule for line y = x, on the positive sides is to interchange the positions of the x and y values
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1. Find the value of x in the parallelogram.
Ox=37
Ox=53
Ox = 127
Ox = 307
xº
53°
Answer:
its 53 they equal the same length if you looking of the answer with a x then maybe its 0x=53
hope this works
What is the solution to the system of equations y equals negative 3x 2 and 5x plus 2y equals 15?
The solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).
A system of linear equations is a set of two or more equations which includes common variables. The solution to a system of equations, is the value of the unknown variables used in the equations that satisfies both equations.
Given two linear equations in x and y,
y = -3x - 2 (equation 1)
5x + 2y = 15 (equation 2)
Use substitution method to find its solution. Since the first equation is already expressed as y in terms of x, substitute the first equation to the second equation.
5x + 2y = 15 (equation 2)
5x + 2(-3x - 2) = 15
5x - 6x - 4 = 15
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.
5x - 6x - 4 = 15
-x = 15 + 4
x = -19
Substitute the value of x in the first equation and solve for y.
y = -3x - 2 (equation 1)
y = -3(-19) - 2
y = 55
Hence, the solution of the given system of equations is (-19, 55).
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The temperature is -3F at 7:00 a.m during the next 4 hours,the temperature increases to 21F.what is the temperature at 11:00 a.m?
Answer:
I believe it is 24°F
Step-by-step explanation:
I'm just cool like that
Find the value of x .
X=
Answer:
65°+106°+78°+*°=360°
249°+ *°=360°
*°=360°-249°
*°=111°
What are the 3 exponent properties?
The 3 main exponent properties are:
The product of powers property: (a^m) * (a^n) = a^(m+n)The quotient of powers property: (a^m) / (a^n) = a^(m-n)The power of a power property: (a^m)^n = a^(m*n)The product of powers property states that when you multiply two numbers with the same base, you can add the exponents to find the result. For example, (2^3) * (2^4) = 2^(3+4) = 2^7
The quotient of powers property states that when you divide two numbers with the same base, you can subtract the exponents to find the result. For example, (2^5) / (2^3) = 2^(5-3) = 2^2
The power of a power property states that when you raise a power to another power, you can multiply the exponents to find the result. For example, (2^3)^2 = 2^(3*2) = 2^6
These three properties help simplify algebraic expressions that include exponents and make it easier to solve equations and perform other mathematical operations.
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What is the area of a right angled triangle having base 10 cm and height 5 cm?
The area of a triangle with the base of 10 cm and the height of 5 cm is 25 square cm.
In the given question we have to find the area of a triangle with the base of 10 cm and the height of 5 cm.
The entire area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it equals half of the base times height, or A = 1/2bh. So, in order to calculate the area of a triangular polygon, we need to know its base (b) and height (h).
Area of Triangle = 1/2 ×b×h
Area of Triangle = 1/2 ×10×5
Area of Triangle = 5×5
Area of Triangle = 25 square cm
Hence, the area of a triangle with the base of 10 cm and the height of 5 cm is 25 square cm.
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how do u write y=e^-1.5t into y=ab^x
Consequently, the exponential function y=e-1.5t can be changed to y=abx. The transcendental number is the most popular exponential-function base.
what is exponential function ?The formula for a mathematical function called an exponential function is f (x) = an x, where x is a variable and an is a fixed quantity known as the function's base. The exponential-function base that is most frequently used is the transcendental number e, or approximately 2.71828. An example of an exponential function is the growth of bacteria. Some bacteria can multiply by two in one hour. There will be twice as many germs around after x hours as there were at the beginning. F(x) = 2x is the formula for this.
given
y=e^-1.5t
f(x) = 2. x
f(x) = 1/ 2x = 2. -x
f(x) = 2. x+3
f(x) = 0.5. x
y=ab^x
Consequently, the exponential function y=e-1.5t can be changed to y=abx. The transcendental number is the most popular exponential-function base.
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[tex]2\frac{1}{4}-6y=3\frac{5\\}{12}[/tex]
Answer:
[tex] y = -\dfrac{7}{36} [/tex]
Step-by-step explanation:
[tex] 2 \dfrac{1}{4} - 6y = 3 \dfrac{5}{12} [/tex]
[tex] \dfrac{9}{4} - 6y = \dfrac{41}{12} [/tex]
[tex] -6y = \dfrac{41}{12} - \dfrac{27}{12} [/tex]
[tex] -6y = \dfrac{14}{12} [/tex]
[tex] -6y = \dfrac{7}{6} [/tex]
[tex] y = -\dfrac{7}{36} [/tex]
Simplify (s^-5)^3 write your answers using only positive exponents
The bar chart below shows the monthly energy bill for Wally's tackle shop.
Which of the listed months had bills between $40 and $50? Scroll down to
see all six answer options and check all that apply.
Energy bill (S)
70
60
50
40
30
20
10
January
February
March
April
Months
August
September
October
ՅզաaAON
December
Answer:
March, June, and November
Step-by-step explanation:
See attached image for the utility bills by month. Draw a line along the $40 and $50 lines on the y axis and select the months that fall within these two lines.
Which phrase represents this expression? (30 - 10) × 5 PLEASE ANSWER NOW!!! DUE TOMORROW
Answer:
I can only give you the answer to the equation which is 100 but I can't help you with finding the phrase because you did not include the answer choices.
Step-by-step explanation:
I don’t understand this very well, help me with an explanation please?
Answer:
what is this on
Step-by-step explanation:
A student expanded an expression, as shown. Is the
student's work correct? Explain why or why not.
-44
4x-
2
13
2
-6(4x) +
- (- 1²/31)
-24x.
12
13
In order to have the correct expression of -24x + 12/12, the student erred by expressing the product of two negative signs as a negative sign rather than a positive sign.
what is expressions ?A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x.
given
Given that a pupil stretched the statement to become 6 (4x 2/ 13),
Using the distributive theorem to expand;
= −6 ( 4x − 2/ 13 )
= -6(4x) -6(-2/13)
= -24x + 6(2/13)
= -24x + 12/12
In order to have the correct expression of -24x + 12/12, the student erred by expressing the product of two negative signs as a negative sign rather than a positive sign.
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In one year, a taco truck makes 11,380 chicken tacos, 3,780 fewer beef tacos than chicken tacos, and 4,300 fewer fish tacos than beef tacos. How many tacos does the truck make in all?
The number of tacos that the taco truck made in all for the year were 22, 280 tacos
How to find the number of tacos ?First, we know that the taco truck made 11, 380 chicken tacos. We also know that the beef tacos were 3, 780 less than chicken which means they were :
= 11, 380 - 3, 780
= 7, 600 beef tacos
The number of fish tacos made were 4, 300 fewer than beef tacos which means it was :
= 7, 600 - 4, 300
= 3, 300 tacos
The total tacos made is:
= 11, 380 + 7, 600 + 3, 300
= 22, 280 tacos
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What is the first step to solving quadratic equations in factored form?
Transform the equation using standard form in which one side is zero is the first step to solving quadratic equations in factored form.
What is quadratic equations in factored form?Form factored (of a quadratic expression) A quadratic expression is said to be in factored form if it can be represented as the sum of a constant and two linear factors. If and only if its discriminant is a perfect square, a quadratic equation with integer coefficients can be factored over integers. To begin factorising an expression, "take away" any shared factors that the terms have. As x appears in both terms, if you were asked to factor x2 + x, you would write x(x + 1). It is common to refer to a polynomial as "irreducible" if it cannot be factored. It might not be factorable if the coefficients lack common components or are not reasonable.Use standard form to transform the equation so that one side is zero.Factor the non-zero side, step 2.3. Reset each component to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).Solve each of the ensuing equations.To learn more about quadratic equations refer to:
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Write “Lana put one third of the fence (f) around her yard” in expression
Answer:
1/3
Step-by-step explanation:
one third= 1/3
Use a trigonometric ratio to solve for b. Round to two decimal places as necessary!!
HELP
Hello! Please help I need this done tonight! I have no clue on how to do this! I have included a picture of the problem.
Answer: x = 1, y = -1
Step-by-step explanation:
The elimination method is a technique for solving systems of linear equations.
1) 4x-6y=10
2) 9x+2y=7
in the second equation
it multiply with 3
then
3×(9x+2y=7)
= 27+6y= 21
We notice that the first equation has a 6y term and the second equation has a -6y term. These terms will cancel if we add the equations together—that is, we'll eliminate the x terms:
then add 1 + 2 equations
4x-6y = 10 _____1)
27+6y= 21 _____2)
then we will get
31x+0 = 31
31x= 31
where x = 31/31= 1
then x = 1
if value of x substitute in the equation ____1)
4x+6y = 10
4×1+6y = 10
6y = -6
y = -6/6
y = -1
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What is the unit for area of a triangle?
The unit for area of a triangle is square units.
The area of a triangle is the amount of two-dimensional space that it occupies.The law of cosines to calculate the length of the third side, and then use the formula to calculate the area.
The formula for calculating the area of a triangle is A = ½ × base × height. The unit for the area of a triangle is typically square units such as square meters (m2), square kilometers (km2), square feet (ft2), and square inches (in2).To calculate the area, you need to measure the base and height of the triangle and multiply them together. Then, you need to divide the product by two. For example, if the base of the triangle is 4 cm and the height is 6 cm, then the area A = ½ × 4 cm × 6 cm = 12 cm². Therefore, the area of the triangle is 12 cm².
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