The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.
What is a linear equation?Linear equations refer to the equations that involve two or more variables in the form of "ax + b".
Now,
Given: The expenses of Gloria at her school cafeteria is given by the linear equation: 40 - 1.5x, where x = number of meals purchased.
To find: The relation when 1.50 changes to 2.75.
Finding:
AS given in the question, 40 - 1.50(x) represents the money spent by Gloria in her school cafeteria, where:40 represents the total money she has.1.50 represents the money spent on each meal by her.x represents the number of meals.If 1.50 changes to 2.75, it means that the cost of her meal increased from 1.50 to 2.75, by 1.25 dollars. Further, it means that her expenses have increased now and that her total money will now be spent earlier than what would have been spent if she spent 1.50 dollars on each meal.The new relation will be given by the linear equation: 40 - 2.75x.Hence, The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.
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(COMPLETE QUESTION:
Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?)
Find the length of AC if PQ is a segment bisector.
Show work.
Answer:
AC = 135 units
Step-by-step explanation:
since PQ bisects AB , then
BC = AC , that is
12x - 21 = 9x + 18 ( subtract 9x from both sides )
3x - 21 = 18 ( add 21 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Then
AC = 9x + 18 = 9(13) + 18 = 117 + 18 = 135
Can you please help
4x^2-11x+7
charlies mom just had a baby. he notices that they use an average of 9 dipers per day. At this rate, how many total dipers will they use during June and july this year?
We get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.
Charlie's mom uses an average of 9 diapers a day.
Average = 9
Average means a number that is calculated by adding quantities together and dividing the total by the number of quantities.
Average = Sum of observations / number of observations
A = S / N
We know that:
June has = 30 days
July has = 31 days.
Total days = 30 days + 31 days = 61 days
N = 61
Let the sum = S be x.
Substituting the values in the formula, we get that:
9 = S / 61
S = 9 × 61
S = 549
Therefore, we get that the total dipers that Charlie's mom will use in the month of June and July will be 549 dipers.
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Which expression is NOT equivalent to 24+12?
3(8+9)
4(6+2)4(6+2)
4(6+12)4(6+12)
4(6+3)4(6+3)
Change the following statement into coordinate points
a)f(-1)=1
b)f(2)=7
c)f(1)=1
d)f(3)=0
Changing [f(-1) = 1] into coordinate points, we get (x₁, y₁) = (-1, 1),
Changing [f(2) = 7] into coordinate points, we get (x₂, y₂) = (2, 7),
Also, changing [f(1) = 1] into coordinate points, we get (x₃, y₃) = (1, 1),
And finally, changing [f(3) = 0] into coordinate points,
We get (x₄, y₄) = (3, 0).
As per question statement, we are provided with Four separate functions, as follows, [f(-1) = 1], [f(2) = 7], [f(1) = 1] and [f(3) = 0].
We are required to convert the above mentioned functions into coordinate points.
To solve this question, we need to know the standard form of conversion of functions into coordinate points, which goes as [y = f(x)], i.e., the ordinate is a function of the abscissa.
Thus comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1).
Similarly, comparing [y = f(x)] to [7 = f(2)], we get (x, y) = (2, 7),
Comparing [y = f(x)] to [1 = f(-1)], we get (x, y) = (-1, 1),
And finally, comparing [y = f(x)] to [0 = f(3)], we get (x, y) = (3, 0).
Function: In Mathematics, a function is an operator which when provided with a input, gives a certain output.Coordinate Points: The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane by using the horizontal and vertical distances from the two reference axes.To learn more about Coordinate Points, click on the link below.
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What is the quotient of the following division problem?
14624÷181 = ?
OA. 80 r145
OB. 80 r144
OC. 79 r144
OD. 82 r143
Answer:
b is the correct answer
80r144
Step-by-step explanation:
Solve using PEMDAS
11²-[3. (8-5)*7-19=
Step-by-step explanation:
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)
Answer:
39.
Step-by-step explanation:
I say good try to the first guy, but aye, it's not fully answering the question.
PEMDAS is the order you solve all of this in. Parenthesis (), Exponents (^), Multiplication (*), Division (/), Addition (+), and Subtraction (-).
We would solve (8-5) first for 3, since there is no sign between both three's, this will be multiplication.
Next is the exponent, 11^2 is 11*11, which is equal to 121.
121 - 3 * 3 * 7 - 19
Next up is Multiplication. 3 * 3 = 9, and 9 * 7 is 63.
Now our equation is 121 - 63 - 19. There is no Division or addition symbol, so we skip to Subtraction.
121 - 63 = 58, and 58 - 19 = 39.
Your Answer is 39.
NEED THIS ASAP PLEASE HELP
Bob's Gift Shop sold 200 cards for Mother's Day. One salesman, Bao, sold 2% of the cards sold for Mother's Day. How many cards did Bao sell?
Which rational number equals 0.5?
|n| = 5 brainly help
Answer:
Here is the answer: n = 5 or n = -5
Two cards are selected from a standard deck of 52 playing cards. the first card is not replaced before the second card is selected. find the probability of selecting and then selecting .
The probability of a given event gives a result of 0.00037. It is generated by applying the basic concepts of probability to the assigned problem.
What is probability?
Probability depicts the number of possibilities of how many times an event can occur. The probability of happening of an event invariably lies between 0 and 1. For a sure event, it is always 1. Its formula is given as P(E) = No. of favourable outcomes / Total no. of outcomes
Calculation of finding the probability according to the conditions specified
The entire number of cards in a standard deck = 52
Total number of favourable outcomes = 1
The probability of selecting two cards is given by P(E1) which is equal to 1 / 52
P(E1) = 1 / 52
Another card is selected without replacing the first card, so the total number of cards in the deck becomes 51. The probability of selecting a card from these 51 cards is given by P(E) i.e. (1 / 52) × (1 / 51)
P(E) = 1 / 2652
P(E) = 0.00037
Hence, the required probability is given by 0.00037.
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If QK Bisects ∠MQR, QN ⊥ LM and m∠MQK = 34º, find each missing measure
Angle of <RQK=34
Angle of<MQN=90
Angle of<MQK=34
Angle of<PQL=68
Angle of<RQL=112
Angle of<PQN=22
An angle may be a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are within the plane where the rays are located. The meeting of two planes also creates angles. We ask for these as dihedral angles. The angle formed by the rays lying perpendicular to the 2 crossing curves at the point of junction is another property of intersecting curves.
Angle also can refer to the length of a rotation or an angle. This metric represents the connection between a circular arc's length and radius. When a geometrical angle is involved
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Jeff place is a pineapple with a mass of 890 g on a balance scale he balances the scale by placing two oranges an apple and a lemon on the other side each orange weighs 280 g the lemon weighs 195 g less than each orange what is the mass of the apple
What are the x- and y-intercepts of the function f(x) = -² + 4x − 4?
Select all correct answers.
The point (0,2) is an x-intercept of the function.
The point (2,0) is an x-intercept of the function.
The point (0,-4) is a y-intercept of the function.
The point (-2,0) is an x-intercept of the function.
The point (-4,0) is a y-intercept of the function.
Answer:
x-intercept(s): (2,0)
y-intercept(s): (0,-4)
Step-by-step explanation:
A betta fish tank is in shape of a cube. The volume of the fish tank is 216 cubic inches. What is the edge length, in inches, of the fish tank?
Considering the definition of volume and volume of a cube, the edge length of the fish tank is 6 inches.
Definition of volumeAll matter occupies a space that can vary depending on its size. This space can be defined by volume, which is defined as the extension of an object in its three dimensions. That is, the volume corresponds to the measure of the space that a body occupies.
Volume of a cubeThe cube is a polyhedron or three-dimensional geometric figure, with six equal sides, each of which is a regular polygon, that is, a square. In other words, a cube is a body made up of six faces that are square.
The volume of a cube is equal to the measure of its side to the cube:
Volume = side x side x side = side³
Edge length of the fish tankIn this case, you know that:
The volume of the fish tank is 216 cubic inches.The fish tank is in shape of a cube.Replacing in the definition of volume of a cube:
216 cubic inches = side³
Solving:
∛216 cubic inches= side
6 inches= side
Finally, the edge length of the fish tank is 6 inches.
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Solve the linear equation x/3-7=-5
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{x}{3} -7=-5[/tex]
→ Add 7 to both sides
[tex]\frac{x}{3} =2[/tex]
→ Multiply both sides by 3
x = 6
Given m ∥ n m∥n, find the value of x. m n t (x+9)° (2x+6)°
X-3 5X-3X-12-4x + 18X-7
Answer:
Algebraic Expressions- An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc. For example, let us have a look at the expression 2x + 4. Thus, we can say that 2x + 4 is an example of an algebraic expression.
Here are more examples:
• 5x + 4y + 10
• 2x2y - 3xy2
• (-a + 4b)2 + 6ab
To simplify an algebraic expression, we just combine the like terms. Hence, the like variables will be combined together. Now, out of the like variables, the same powers will be combined together
Multiply the numbers
x - 3 . 5x – 3x -12 - 4x + 18x - 7
= x – 15x - 3x – 12 – 4x + 18x – 7
Subtract the numbers
= x – 15x – 3x – 12 – 4x + 18x - 7
= x – 15x – 3x – 19 - 4x + 18x
Combining the like terms
= - 2x – 19
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The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 inches. Find the length and width of the rectangle.
Answer:
The length of the rectangle is 11 inches, and the width of the rectangle is 10 inches.
Step-by-step explanation:
Let l be the length of the longer side of the rectangle. Then the width of the rectangle is l-1 inches. Since the perimeter of the rectangle is 42 inches, we have:
2(l + l - 1) = 42
l + l - 1 = 21
2l = 22
l = 11 inches, so l - 1 = 10 inches
Someone please help me
The type of reasoning utilized in each of the given sentences are;
1) Inductive reasoning
2) deductive reasoning
3) Inductive reasoning
4) Deductive reasoning
5) Deductive reasoning
What is Inductive and Deductive Reasoning?
Inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory.
1) This statement depicts inductive reasoning because it is trying to develop a theory that that studying for a test earns you good grades.
2) This statement depicts deductive reasoning because you are testing an existing theory that red meat has iron in it to draw a conclusion that the steak on your plate has iron in it.
3) This statement depicts inductive reasoning because you are trying to develop a theory that sum of all angles in a triangle is 180 degrees.
4) This statement depicts deductive reasoning because you are testing an existing theory that parallelograms have two pairs of parallel sides to conclude that rectangles also have two pairs of parallel sides.
5) This is deductive reasoning.
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translate and solve: 6 fewer than s is no less than −78. (write your solution in interval notation.)
When 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)
Interval notation is a way of writing subsets of the real number line
Given,
6 fewer than s is no less than -78
6-s < -78
Move 6 to right hand side
-s < -78-6
-s < -84
s > 84
Then the interval notation is (84,∞)
Hence, when 6 fewer than s is no less than −78, the solution in interval notation is (84,∞)
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Evaluating Functions → Finding the
->
Output
f(x) = 5x + 6
Find f(3)
21 is the value of function f(3) .
What is function?
A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.f(x) = 5x + 6
f(3) = 5(3) + 6 = 15 + 6 = 21
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Near the surface of Jupiter, the distance d that an object falls in t seconds is given by d = 1/2 gt², where g = 84.48 ft/sec². Find the distance an object falls in 3 seconds.
The distance an object falls in 3 seconds is 380.16 ft.
According to the question we have been given an equation of the distance that an object falls in t seconds, which is
d = [tex]\frac{1}{2} g t^{2}[/tex]
where, d = distance
g = 84.48 ft/sec²
t = time.
We need to find the distance an object falls in 3 seconds. That is we have to find d when t = 3 seconds
Putting the required values in the above formula we get
d = [tex]\frac{1}{2} (84.48) (3)^{2}[/tex]
d = 760.32/2
d = 380.16 ft
hence the distance an object falls in 3 seconds is 380.16 ft.
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The sum of two numbers is twenty-one. one number is eighteen less than two times the other. find the numbers.
Answer:
The sum of two numbers is twenty-one. one number is eighteen less than two times the other =
8 and 13
What is the mean absolute deviation of this data set, rounded to the nearest tenth?
0.7
1.4
3
2
The mean absolute deviation of this data set is 0.2
What is the mean absolute deviation of this data set?The dataset is given as
0.7, 1.4, 3 and 2
Calculate the mean using
m(x) = Sum/Count
So, we have
m(x) = (0.7 + 1.4 + 3 + 2)/4
Evaluate
m(x) = 1.775
The mean absolute deviation is calculated as
Deviation = 1/n∑|(x - m(x))|
So, we have
Deviation = 1/4 * (|0.7 - 1.775| + |1.4 - 1.775| + |3 - 1.775| + |2 - 1.775|)
This gives
Deviation = 1/4 * (-1.075 + 0.375 + 1.225 + 0.225)
Evaluate
Deviation = 0.1875
Approximate
Deviation = 0.2
Hence, the mean absolute deviation of this data set is 0.2
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Help me please what is 25,473+13,648+15,306
Answer:
54,427
here's your answer
Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample.If two angles are congruent, then they are vertical angles.
The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles
How to determine the truth value of the conditional statement?The conditional statement is given as:
If two angles are congruent, then they are vertical angles.
The above statement is false because not all congruent angles are vertical angles
A counterexample of this statement is a corresponding angle
i.e. corresponding angles are congruent angles, but they are not vertical angles
Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle
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Find the equation of a straight line passing through the point (2, 3) and makes an angle 60° with the x-axis. Hono
Answer:
Equation of a straight line, y=mx+c
i.e. y=
3
x+3
Therefore, y=
3
x+3 is the required equation of the line
Step-by-step explanation:
6.7 more than 5 times n
Answer:
5n+6.7
or
n= -1.34
Step-by-step explanation:
For the first answer is base on writing the problem while the second is to solve it
The Second answer
5n+6.7=0
-6.7 on both side
5n= -6.7
divide by 5
n= -6.7/5
if you want the answer to be in decimal than your answer is -1.34
But if you want your answer to be a faction than it -6.7/5
hope this help
use the distributive property to find the quotient 628/2
Answer:
314
Step-by-step explanation: