2
Select the correct answer from each drop-down menu.
The given equation has been solved in the table.
Step
1
2
3
4
5
In step 2, the
In step 4, the
3x
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3x
-
Statement
- 10 -16
=
10+ 10 = -16 10
3x = -6
-6
33
x= -2
Use the table to complete each statement.
=
property of equality was a
s appled.
property of equality was applied.
Answers
In step 2: the additive property of equality was applied.
In step 4: the division property of equality was applied.
What are the properties to solve equation?
The properties of the relationship of equality, reflexivity, symmetry, transitivity, and the properties of operations are employed to solve an equation.
These characteristics hold true in both propositional language and arithmetic.
The following can be used to sum up this: An equality is still valid if the exact same operation is carried out on both sides of the equality.
Given that:
Step 1: 3x - 10 = -16
The additive inverse of -10 is +10
Step 2: 3x - 10 + 10 = -16 + 10 [Additive inverse]
Step 3: 3x = -6
Step 4: 3x/3 = -6/3 [Division property]
Step 5: x = -2
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Related Questions
What is the first quartile in this box plot? Enter your answer in the box.
+++++++++++++++
10 15 20 25 30 35 40 45 50 55 60 65 70 75
PLS HELP ME
Answers
Answer:
I think the first quartile is 30
Step-by-step explanation:
To find the quartiles you would look at the end points of the box.
Which fraction and decimal forms match the long division problem?
Answers
Answer: C
Step-by-step explanation: C
2 divided into 9 parts is 2/9.
Let's' explain this visually
Take this pizza, (image below)
Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.
Now 2/9=0.2 repeating!
This is how I got my answer sorry for the vague explanation
Q2. Darcy has a biased spinner. A spinner has sections labelled 1, 2, 3, 4 and 5.
The table below shows information about some of the probabilities.
Work out the value of x.
Number
Probability
1
X
2
0.15
3
0.05
4
0.2
5
0.35
Answers
The value of x regarding the given situation is 0.25.
Give that the spinner has sections labelled 1, 2, 3, 4 and 5.
In probability theory, the sum of all probabilities within a particular sample space should always be equal to 1.
This principle is known as the axiom of probability or the normalization condition.
The probability of an event represents the likelihood of that event occurring. When considering all possible events within a sample space, the sum of their probabilities must be 1.
This signifies that one of the possible outcomes within the sample space is certain to occur.
Here,
The probability of each number is given but probability of number 1 is not given,
So,
The probability of number 1 = 1 - (0.15 + 0.05 + 0.2 + 0.35) = 1 - 0.75 = 0.25
Hence the value of x regarding the given situation is 0.25.
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There is a number three times the number -6 is equal to 45 find the number
Answers
Answer:
6+ 45 = 500 #!_ djdjbdkeknf
Let it be x
ATQ
\( \\ \sf \longmapsto \: 3x - (6) = 45 \\ \\ \sf \longmapsto \:3x = 45+6 \\ \\ \sf \longmapsto \:3 x = 51 \\ \\ \sf \longmapsto \: x = \dfrac{51}{3} \\ \sf \longmapsto \: x=17\)
Diego ha 48 chocolate chip cookie, 64 vanilla cookie, and 100 raiin cookie for a bake ale. He want to make bag that have all three cookie flavor and the ame number of each flavor per bag
Answers
On solving the question, by help of Highest common Factor we got that He can only produce 4 bags before there are no more cookies left.
What is Highest common factor?In mathematics, HCF is referred to by its full term, highest common factor. When dividing two or more numbers, the highest common factor (HCF) is two. For instance, the HCF of 4 and 6 is 2.
48 chocolate chips total.
64 vanilla cookies total.
100 raisin cookies are present.
\(HCF - 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24,48.\\64 = 1, 2, 4, 8, 16, 32 , 64\\100 = 1, 2, 4, 5, 10, 20, 25, 50, , 100.\)
4 = highest common factor of 48, 64 and 100
As a result, he can only produce 4 bags of cookies until none are left over.
For each bag:
cookies and chocolates = 48/4
= 12 each
64/4 vanilla cookies
= 16 each
100/4 raisins in cookies
= 25 each
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Show work please
Evaluate the indefinite integral. | (182)® + 4(82)?) (182)* + 1)"? dz =
Answers
Therefore, the answer is (182x^3)/3 + x^4 + C
Given the integral
∫ (182x^2 + 4x^3) dx
To evaluate the indefinite integral, we'll use the power rule for integration, which states that:
∫ x^n dx = (x^(n+1))/(n+1) + C
Now, we can integrate each term individually:
∫ (182x^2) dx = (182 * (x^(2+1)) / (2+1)) + C = (182x^3)/3 + C₁
∫ (4x^3) dx = (4 * (x^(3+1)) / (3+1)) + C = x^4 + C₂
By combining both integrals, we get:
∫ (182x^2 + 4x^3) dx = (182x^3)/3 + x^4 + C
Therefore, the answer is (182x^3)/3 + x^4 + C
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Solve the system of equations - 8x - 8y = 0 and -5x – 7y= -12 by combining
the equations
Answers
Answer:
y=-12/15-13/15x
Step-by-step explanation:
sin² x + cos²x = 1
Which Trigonometric Identity is given above?
- Pythagorean Identity
- Lagrange's Trigonometric Identity
- Angle Sum and Difference Identity
- Tangent Identity
Answers
The Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.
What is Pythagorean Identity?The Pythagorean Identity which tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one is known as or called a trigonometric identity.
The Pythagorean identity can be expressed as:
sin² x + cos² x = 1
This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.
Therefore the correct option is A.
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The equation is: Y=22.9+189.2X. Sales is in Units of $1000.00 and Advertising is in Units of $100. If $100 is spent on advertising, how much will sales increase? 1) $229000 2) $189200 O3) $22900 4) $1892
Answers
If $100 is spent on advertising, sales are expected increase by option (2) $189,200.
The equation given is:
Y = 22.9 + 189.2X
Here, Y represents sales in thousands of dollars, and X represents advertising expenditure in hundreds of dollars.
The coefficient of X is 189.2, which means that for every one unit increase in advertising expenditure (i.e., for every $100 increase in advertising expenditure), sales are expected to increase by $189.2 thousand.
So if we spend $100 on advertising (i.e., one unit increase in X), we can expect sales to increase by:
$189.2 x 1 = $189.2 thousand
However, the question is asking for the increase in sales in dollars, not thousands of dollars. So we need to convert the answer to dollars by multiplying it by 1000, since there are 1000 dollars in one thousand dollars. Therefore, the increase in sales in dollars would be:
$189.2 thousand x 1000 = $189,200
Therefore, the correct answer is option (2) $189,200.
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Anne creates necklaces and rings to sell. It takes her 3 hours to make a necklace and 1 hour to make a ring. If she makes 10 items in 2 standard 8-hour work days, how many necklaces and rings did Anne make during those 16 hours?
Answers
3 individual hours to make a necklace, and 1 hour to make a ring. according to the problem, she made 10 items in 16 hours. this problem will most likely be trial and error. let’s try one first guess.
my first guess will be, maybe she will make 6 rings and 4 necklaces. 6 times 1 is 6, which takes 6 hours for the rings. 4 times 3 is equal to 12. 6 + 12 is too high! let’s try again.
what about 6 rings and 2 necklaces? 6 times 1 is 6, so that’s 6 hours. 2 times 3 is 6 hours! 6 plus 6 is 12, which is close, but not quite there!
let’s try 7 rings and 3 necklaces! 7 times 1 is 7 hours. 3 times 3 is equal to 9 hours! total that together, 7 plus 9, is equal to 16 hours spent!
so, the answer would be, “Anne made 7 rings and 3 necklaces within 16 hours.” hope this helped!:)
What is an inverse proportional graph?
Answers
Inversely proportional graphs are reciprocal graphs consisting of one smooth curve in the first quadrant only.
When one quantity grows, the other quantity decreases, and vice versa, this is known as an inverse proportion. Indirect proportion is another name for inverse proportion.
Consider a task like painting a fence as an illustration. The amount of time it takes to complete the task lowers as the number of employees rises. The amount of time it takes to complete the task grows as the number of workers reduces.
If y is inversely proportional to x then we write y = 1/x
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The point-slope form of the equation of the line that passes through (44, -3) and (12, 1) is y-1 = (x - 12). What is
the standard form of the equation for this line?
Answers
Answer:
-y+(x-12)=-1
Step-by-step explanation:
What are the coordinates for a dilated triangle, A’B’C’, if the scale factor for the dilation is 0.75?
A’(–3.75, –0.75); B’(0, 1.5); C’(3, –1.5)
A’(–3.75, 0.75); B’(0.75, 1.5); C’(3, –1.5)
A’(3.75, 0.75); B’(0, 1.5); C’(3, –1.5)
A’(–3.75, 0.75); B’(0, 1.5); C’(3, –1.5)
Answers
Answer:
D
Step-by-step explanation:
The coordinates of A'B'C' are:
The correct answer is A’(-3.75, -0.75); B’(0, 1.5); C’(3, -1.5).
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
To find the coordinates of the dilated triangle, we multiply the coordinates of each vertex of the original triangle by the scale factor of 0.75.
So, for vertex A, we have:
x-coordinate of A’ = 0.75 × (-5) = -3.75
y-coordinate of A’ = 0.75 × (1) = 0.75
Thus, A’ has coordinates (-3.75, 0.75)
Similarly, for vertex B, we have:
x-coordinate of B’ = 0.75 × (0) = 0
y-coordinate of B’ = 0.75 × (2) = 1.5
Thus, B’ has coordinates (0, 1.5)
Finally, for vertex C, we have:
x-coordinate of C’ = 0.75 × (4) = 3
y-coordinate of C’ = 0.75 × (-2) = -15
Thus, C’ has coordinates (3, -1.5)
Therefore, the correct answer is A’(-3.75, -0.75); B’(0, 1.5); C’(3, -1.5).
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Question
The table of values shows the height of a windmill blade from the ground over time. This can be modeled by a sinusoidal function.
The table of values is attached
Which statements are true?
Select each correct answer.
The frequency of the function is 4.
The minimum value of the function is 5.8.
The amplitude of the function is 1.5.
The period of the function is 1/4.
Answers
Answer:
the amplíetude of the function is 1.5
Step-by-step explanation:
.
please slove this for me
Answers
Answer:
The answer is A, 7
Step-by-step explanation:
35÷5=7
find the size of each of the angles marked with letter
Answers
Answer:
f = 78 , g = 32 , h = 74
Step-by-step explanation:
f and 78° are alternate angles and are congruent , then
f = 78
---------------------------
h and 74° are alternate angles and are congruent , so
h = 74
--------------------------
the sum of the 3 angles in the triangle = 180°
sum the 3 angles and equate to 180
78 + g + h = 180
78 + g + 74 = 180
152 + g = 180 ( subtract 152 from both sides )
g = 28
A dress originally priced at 8080 dollars was put on sale for 25\%% off. If 10\% tax was added to the sale price, then the total selling price (in dollars) of the dress was
Answers
Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!
Step-by-step explanation:
Hey, I need help what is 12+3s+9s+2=?
Answers
Answer:
Below
Step-by-step explanation:
12 + 3s + 9s + 2 =
(3s+9s) + (12+2) =
12s + 14 ( or 2 (6s+7) )
I will give u brainliest if u ans correctly
plzz help
it easy but still
Answers
Answer:
It would be A 0.20mm
Step-by-step explanation:
It would be A because there are 12 coins in that stack with the stack's height being 2.40
Divide 2.40 by 12
2.40/12=0.20
Hope this helps
what is the slope of this line
Answers
Answer:
y = 300x + 100
Step-by-step explanation:
y = mx + c
the line intersects the y axis at 100, so c = 100
m = difference between y-coordinates / difference between x-coordinates
m = (400-100)/(1-0) = 300/1 = 300
y = 300x + 100
Can someone help me I’m confused
Answers
A mathematician is wondering what would happen to the surface area of a square if you were to repeatedly cut the square in half. She concludes that the surface area would become less and less but would never become zero units\(^2\). Which equation would help her model the surface area of a square piece of paper as it was repeatedly cut?
a) \(y=x^2+4x-16\)
b) \(y=-25x^2\)
c) \(y=9(2)^x\)
d) \(y=36(\frac{1}{2})^x\)
Answers
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\)
Option D is the correct answer.
We have,
In this equation, the variable x represents the number of times the square is cut in half, and y represents the surface area of the square.
As x increases, the exponent of 1/2 decreases, causing the value of y to decrease.
This exponential decay accurately represents the idea that the surface area becomes less and less but never reaches zero units²
Thus,
The equation that would help the mathematician model the surface area of a square piece of paper as it was repeatedly cut is \(y = 36 \times \frac{1}{2}^x\).
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The correct equation that would help model the surface area of a square piece of paper as it is repeatedly cut in half is: \(\(y=36(\frac{1}{2})^x\)\)
As the square is cut in half, the side length of the square is divided by 2, resulting in the area being divided by \(\(2^2 = 4\)\).
Therefore, the equation \(y=36(\frac{1}{2})^x\)\)accurately represents the decreasing surface area of the square as it is repeatedly cut in half.
and, \(\(y=x^2+4x-16\)\)is a quadratic equation that does not represent the decreasing nature of the surface area.
and, \(\(y=-25x^2\)\) is a quadratic equation with a negative coefficient.
and, \(\(y=9(2)^x\)\)represents exponential growth rather than the decreasing nature of the surface area when the square is cut in half.
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Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Answers
Answer:
Diagonal=11.3m
Area of square (A) =1/2*d^2
=1/2*(11.3)^2
=63.845m^2
We know,
Area of square A= l^2
63.845=l^2
L=
\( \sqrt{63.845 } \)
L=7.99m
Now,
Perimeter of square =4l
=4*7.99
=31.96m
Julio made a triangular pyramid out of wood. What shapes did he use
Answers
Can someone pls pls help :(
Answers
Step-by-step explanation:
as always in such problems, our first approach is to use for every sub-selection (in our case of 3 numbers) a mixture of smaller and larger numbers.
we have 3. 4, 5, 6, 7 available.
so, my first thoughts are "how about I try 3, 4 and 7" for one line of 3 numbers.
so, I would have a total 3+4+7 = 14
that leaves me with 5 and 6.
5+6 = 11
hmmm. what is missing to the previous total of 14 ? 3.
ha !
is there a "3" I can share with the other number line ? yes the other number line has a "3".
so, if I make 3 my center number, it applies to the total of both number lines.
4+3+7 = 14
5+3+6 = 14
and bang ! there you have your solution.
3 in the middle, 4 and 7 on the outside in one direction, and 5 and 6 on the outside in the other direction.
what is the value of 10x^3 y^2 when x=-2 and y=-3
Answers
Answer:
-720
Step-by-step explanation:
We are given the expression:
\(10x^3y^2\)
and asked to evaluate when x= -2 and y= -3.
Therefore, we must substitute -2 for x and -3 for y.
\(10(-2)^3*(-3)^2\)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
Evaluate the first exponent.
⇒ (-2)³ = -2 * -2 * -2= 4*-2= -8
\(10(-8)*(-3)^2\)
Evaluate the second exponent.
⇒ (-3)²= -3 * -3= 9
\(10(-8)*9\)
Multiply 10 and -8.
\(-80*9\)
Multiply -80 and 9.
\(-720\)
The value of 10x³y² at x= -2 and y= -3 is -720
Which number line represents the solution for the inequality |2p+3|>7
will give 20 points and brainliest
Answers
Answer:
Graph A
Step-by-step explanation:
Answer:
its graph A
Step-by-step explanation:
the actual height of a drinking cup is 9cm. The height of the cup in a photo taken is 1.5cm. Determine the scale factor of the reduction
Answers
Step-by-step explanation:
1.5 cm in the picture is 9 cm in reality.
1.5 × f = 9
f = 9/1.5 = 6
so, the scale factor of the picture is 1/6 of reality.
An ordered pair is a(n) ________ of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
Answers
An ordered pair is a solution of an equation in two variables if replacing the variables by the coordinates of the ordered pair results in a true statement.
In mathematics, an equation in two variables represents a relationship between two quantities. An ordered pair consists of two values, typically denoted as (x, y), that represent the coordinates of a point in a two-dimensional plane.
When these values are substituted into the equation, if the equation holds true, then the ordered pair is considered a solution or a solution set to the equation. This means that the relationship described by the equation is satisfied by the values of the ordered pair. In other words, the equation is true when evaluated with the values of the ordered pair.
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Un tren en marcha acelera a razón de 12 metros por segundo ¿ Cual seria tu masa si la fuerza aplicada fuera de 10N ?
Answers
If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.
The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.
However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.
Substituting the given values, we get:
m = 10 N / 12 m/s²
m = 0.83 kg
So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.
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Complete Question:
A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?