After a long morning of sledding, Mrs. Fieldhouse made a batch of hot cocoa for her daughter and nighborhood friends. She divided it among 8 mugs. Each mug had more than 9 fluid ounces of hot cocoa. Write an inequality to describe the situation.
x>9 perfectly describes the situation.
In mathematics, inequalities characterise the connection between two non-equal numbers. Inequality implies being unequal. If two values are not equal, we use the "not equal symbol ()". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.
Let x be the amount of hot cocoa in fluid ounces that each mug contains.
Since each mug has more than 9 fluid ounces of hot cocoa, we can write the inequality as:
x > 9
We also know that the total amount of hot cocoa made is 8 mugs * the amount of hot cocoa in each mug = 8x.
So the inequality can be written as:
8x > 9*8 = 72
or
x>9
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can someone answer this question really quick
Simplify the expression by combining like terms.
43a−12b+13a+52b
Enter your answer as an expression, like this: 42x+53
Answer:
56a+40b
Step-by-step explanation:
43a plus 13a is 56a, -12b + 52b is 40b, together it's 56a+40b
Select all expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x
12x - 2x 10x
10x + 0.5
12-2x
9x + 3.5 - 2x
12x - 2x + 0.5
To see if it makes more sense… I added a photo of the problem on my hw
All expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x are (12x - 2x + 0.5) and (10x + 0.5).
What are Equivalent expressions:Expressions that are equivalent perform the same thing even when they have distinct appearances.
When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
By combining like terms, we can create expressions that are equivalent to a given expression. Terms with the same variables raised to the same powers are said to be "like terms".
Here we have
8.5x + 0.5 +3.5x - 2x
The above expression can be simplified as given below
=> 8.5x + 0.5 +3.5x - 2x
Add and subtract like terms
=> 8.5x +3.5x - 2x + 0.5
=> 12x - 2x + 0.5
=> 10x + 0.5
Therefore,
All expressions that are equivalent to 8.5x + 0.5 +3.5x - 2x are (12x - 2x + 0.5) and (10x + 0.5).
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he owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph shows the amount of water (in liters) in the pond versus time (in minutes). Find the domain and the range of the function shown. Amount of water (liters) y1503004506007509001050120013501500x204060801001201401601800 Time (minutes)
The domain and range of the the function are -
Domain → [0, 180]
Range → [600, 1050]
What is the domain and range of function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.
Given is that the owners of a recreation area filled a small pond with water in 180 minutes. The pond already had some water at the beginning. The graph {attached below} shows the amount of water (in liters) in the pond versus time (in minutes).
Domain is the set of all possible {x} values. We can write -
Domain → [0, 180]
Range is the set of all possible {y} values. We can write -
Range → [600, 1050]
Therefore, the domain and range of the the function are -
Domain → [0, 180]
Range → [600, 1050]
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need to find domain
O 2. 20 18 16 14 12 10 8 6 4 2 2 4 6 8 10 12 14 16 18 20 3. -5-4 D:
The collection of values that can be plugged into a function's domain are called its parameters.
How do you find domain?A specific area of thinking, action, or interest is referred to as a domain, particularly one over which someone has authority. [formal]...the great artists who experimented with several mediums. Alternative words: region, globe, field, department [informal] More Domain synonyms.
The domain is used to facilitate user navigation and increase accessibility. Slugs are links that consist of the domain plus the text "/text."
Let y = f(x) be a function where x and y are the independent and dependent variables. The chosen x-value is said to fall within the domain of f if a function f offers a means of effectively producing a single value y while using a value for x to that end.
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2÷ 12/5=
help please
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]2 \div \frac{12}{5} \\ = 2 \times \frac{5}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} \\ = 0.83[/tex]
Answer: 5/6
Step-by-step explanation: Another way of writing this problem is 2/1 ÷ 12/5. To solve this division problem, you must multiply the recipricol of the divisor. The recipricol of 12/5 is 5/12, so the new expression will look like this: 2/1 x 5/12. You can solve this by multiplying the numorators and then multiplying the denonimators to get 10/12. The simplified version of 10/12 can be expressed as 5/6.
Find the value of each expression.
a. 1/4 • (-12)
b. -1/3 • 39
c. (-4/5) • (-75)
d. -2/5 • (-3/4)
e. 8/3• -42
By using simple arithmetic and using calculator we get:
a. 1/4 • (-12) = (-3)
b. -1/3 • 39 = -13
c. (-4/5) • (-75) = 60
d. -2/5 • (-3/4) = 3/10 = 0.3
e. 8/3• -42 = -56
What is arithmetic?Arithmetic is a branch of mathematics that deals with the manipulation of numbers and their properties. It is the study of numbers and the operations that can be performed on them, such as addition, subtraction, multiplication, and division. Arithmetic also includes concepts such as fractions, decimals, and percentages. The study of arithmetic is fundamental to many other branches of mathematics, including algebra, geometry, and calculus, as well as many practical fields like finance, engineering, and computer science.
What is calculator?A calculator is a device that performs mathematical calculations. It can be a handheld device or a software program on a computer or mobile device. Calculators typically have buttons or keys for performing basic arithmetic operations, such as addition, subtraction, multiplication, and division, as well as more advanced functions like trigonometry and logarithms. Some calculators also have the ability to store and recall numbers, perform conversions between units of measurement, and perform other specialized functions.
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Makayla and Addison are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Makayla is 290 miles away from the stadium and Addison is 345 miles away from the stadium. Makayla is driving along the highway at a speed of 40 miles per hour and Addison is driving at speed of 51 miles per hour. Let MM represent Makayla's distance, in miles, away from the stadium tt hours after noon. Let AA represent Addison's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the interval of hours, t,t, for which Makayla is closer to the stadium than Addison.
The linear functions for each situation are given as follows:
Makayla: 290 - 40x.Addision: 345 - 51x.Makayla is closer than Addision when:
x < 5.
How to define the linear functions?The linear functions in slope-intercept format for this problem are given as follows:
y = mx + b.
In which:
m is the slope, representing the velocity, as a negative as they are getting closer to the stadium with time.b is the intercept, representing the initial distance.Hence the functions are defined as follows:
Makayla: 290 - 40x.Addision: 345 - 51x.Makayla is closer when:
290 - 40x < 345 - 51x
11x < 55
x < 5.
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is a(b)+a(c) the same as a(b+c)
Answer:
Yes, a(b)+a(c) is the same as a(b+c)
Step-by-step explanation:
a(b)+a(c) is the same as a(b+c). We call it distributive property in math.
Tricia has $37.25 in her account. Which amount will she have left after she writes 3 checks for $8.33 each?
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What does the ∑ symbol mean in statistics?
The symbol ∑ (sigma) is used to represent the sum of a set of numbers. This is very important notation in statistics.
What is uses of sigma symbol in statistics?If a hypothesis is correct, a set of data's standard deviation serves as a gauge of how rare it is. Standard deviations are expressed in units called sigma, or, by physicists. The findings are progressively inconsistent with the hypothesis as the number of sigma increases. The word's derivation is derived from the Greek letter "sigma," which is used in statistics to measure how much a process deviates from its mean or goal.
To express the total of a set of data or the total of a function over a specified range, it is frequently used in statistics and probability. For instance, if X is a collection of numbers, the term ∑X would stand for the collection's total. The symbol is typically followed by a variable, such as I indicating the range of the sum, for example, ∑i=1 to n for the summing from i=1 to i=n. The index I is frequently used to identify the individual components of the set.
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simplify : 6/7 of 5/9 ÷ 10/21
Answer:
Step-by-step explanation:
Don’t know
b. How should Kiran change the quantities that he used
so that his smoothie tastes
just like Clare's?
Answer:
Kiran's smoothie would be more chocolatey than Clare's. All ingredients are doubled, but there is an extra teaspoon of chocolate syrup in his smoothie.
Step-by-step explanation:
(aryan)
9. Which equation is represented by the table?
X
0
1
2.
3
у
40
20
10
5
a. 40(2)
b. 40(3)
I
Answer:
#2.
Step-by-step explanation:
What is 66=2l+2w L=w+5
Answer:
Step-by-step explanation:
66=2(w+5)+2w L=14+5
66=2w+10+2w L=19
66=4w+10
-10
56=4w/4
14=w
How do you tell what type of triangle it is based on side lengths?
By adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.
Define the type of triangle?Equilateral triangle:The equilateral triangle comes first. All three sides of this triangle are the same length, and each angle measures exactly 60 degrees. An equilateral triangle is Triangle A.
A right triangle:This triangle has two acute angles, which are angles smaller than 90 degrees in length, but one right angle (as well as angle which measures 90 degrees). A right triangle is triangle B.
Isosceles triangle:The isosceles triangle is another. This triangle has two sides that are the same length.
Scalene triangle:The scalene triangle comes next. This triangle has three different lengths for its three sides.
Acute triangle:The acute triangle is the next type of triangle and has three acute angles.
Obtuse triangle:The obtuse triangle is the last triangle. Two of the angles of this triangle are sharp, and one of the angles is obtuse, which is defined as being more than 90 degrees.
Thus, by adding the squares of the triangle's two smaller sides and comparing the result to the square of a largest side, you may determine whether triangle is acute, obtuse, or right.
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What is the solution to this equation?
Answer:
C. x = 7
Step-by-step explanation:
(7+6) = 13
2(7) - 1 =
14- 1 = 13
13-13 = 0
HURRY IM TIMED!
what is the value of x if e^2x+6= 8
Answer:
exact form x = 2/e^2 decimal form is x = 0.27
Step-by-step explanation:
Which matrix represents the system of equations shown below?
4x - 2y = 8
2x-3y = 12
Answer:
4x-2y=8
or, 4x = 8+2y
or x = 8+2y/4-----(eq.1)
2x-3y=12-----(eq.2)
Now,
putting value of eq.1 in eq.2, we get
2x-3y=12
or, (8+2y/4)-3y = 12
or, 8-10y/4=12
or, 8-10y=12×4
or,8-10y=48
or,-10y=48-8
or,y=40/-10
or, y = -4
again,
2x-3y=12
or, 2x-3×-4=12
or, 2x+12=12
or, x=0
In 1st option
4x-2y=8
or,4×0-2×-4=8
or,0+8=8
8=8
2x-3y=12
2×0-3×-4=12
0+12=12
12=12
So 1st option is true
quickkkkk plss help me
How do you find area?
Answer:
You do length time width
Divide. Express your answer in simplest form.
4 √ 18
————
2 √ 12
Answer:
[tex] \sqrt{6} [/tex]Step-by-step explanation:
[tex] \frac{4 \sqrt{18} }{2 \sqrt{12} } [/tex][tex] \frac{2 \sqrt{18} }{ \sqrt{12} } [/tex][tex]2 \sqrt{ \frac{18}{12} } [/tex][tex]2 \sqrt{ \frac{3}{2} } [/tex][tex]2 { \frac{ \sqrt{3} }{ \sqrt{2} } } [/tex][tex]2 \frac{ \sqrt{3 \: \sqrt{2} } }{2} [/tex][tex]2 \frac{ \sqrt{6} }{2} [/tex][tex] \sqrt{6} [/tex]Hope it is helpful....What is the range of the parent function y=√-x
A.
all real numbers
B.
all positive numbers
C.
all positive numbers and 0
D.
all negative numbers
Answer:
the answer is
A. all real numbersWhat is the use of if __ name __ == '__ main __' in Python?
The use of if__name__ == '__main__' in python is to check whether the current script is being run on its own or being imported somewhere else by combining it with if statement.
Here we need to find the use of if __ name __ == '__ main __' in Python.
Basically, in python the term Allows You to Execute Code When the File Runs as a Script, but Not When It’s Imported as a Module
Here for most practical purposes, this is known as the conditional block that you open with if __name__ == "__main__" as a way to store code that should only run when your file is executed as a script.
Therefore, the function is used as a variable defined for each script that defines whether the script is being run as the main module or it is being run as an imported module.
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Select all the true equations.
Group of answer choices
5+0=0
LaTeX: 15\cdot0=015 ⋅ 0 = 0
1. 4 + 2. 7 = 4. 1
LaTeX: \frac{2}{3}\cdot\frac{5}{9}=\frac{7}{12}2 3 ⋅ 5 9 = 7 12
LaTeX: 4\frac{2}{3}=5-\frac{1}{3}
The true equations are - 15·0 = 015·0, 1.4 + 2.7 = 4.1, and 4(2/3) = 5-(1/3).
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The first equation is -
5 + 0 = 0
This equation is false, as if 0 is added to any number, the result is the same number itself, and not 0.
The second equation is -
15·0 = 015·0
Any number multiplied by 0, gives the result as 0.
In the above equation LHS = RHS = 0.
Hence, this equation is true.
The third equation is -
1.4 + 2.7 = 4.1
Solving LHS -
= 1.4 + 2.7
= 4.1
So, LHS = RHS and hence, this equation is true.
The fourth equation is -
(2/3) · (5/9) = 7/12
Solving LHS -
= (2/3) × (5/9)
= 10/27
Here, LHS ≠ RHS.
Hence, this equation is false.
The fifth equation is -
4(2/3) = 5-(1/3)
Solving LHS -
4(2/3) = 14/3
Solving RHS -
= 5 - 1/3
= (15 - 1)/3
= 14/3
Therefore, LHS = RHS and hence, this equation is true.
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The coordinates of 3 of the vertices of a parallelogram are (-3, 4), (-2, 1), and (2, 6). What is the equation for the
line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a
parallelogram are parallel.)
A.
B.
-2
y=-x
5
2
y=-x+5
52.38
C. y=-3x
D. y=-3x+12.
y = -3x + 12 is the equation for the line containing the side opposite the side containing the first two vertices.
Given coordinates:
(-3,4) ; (-2,1) ; and (2,6)
let us solve for the slope.
Since , parallel sides have the same slope.
m = y2-y1 / x2-x1
m = 1 - 4 / -2-(-3)
m = -3 / 1
m = -3
y = mx + b
Since , (2,6) is a point which passes through the line . Hence , it must satisfy the equation.
Therefore,
6 = -3(2) + b
6 = -6 + b
6 + 6 = b
12 = b
On Substituting , values of m and b in y = mx +b , we get y = -3x +12 which is the required equation of the line.
Hence, y = -3x + 12 is the equation for the line containing the side opposite the side containing the first two vertices.
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helppp me pleaseee i really need it
23310
Step-by-step explanation:
I actually calculated it aka 259000×9%
Write and solve an equation to find the value of x.
Answer:
x = 60°
Step-by-step explanation:
opposite angle = congruentso
120 = 2x
x = 120 : 2
x = 60
check
120 = 2 x 60
120 = 120
the answer is goodWhat are the medians and modes??
Answer:
The median is 17 and the mode is 19
Step-by-step explanation: