''Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.''
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the definition of Logic.
Now, We know that;
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths.
Hence, We get;
''Logic is the study of the methods and principles of reasoning. It can be useful in providing strong support for conclusions, and to help identify errors in reasoning, or fallacies.''
Learn more about the mathematical expression visit:
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Joanne invited 21 friends to her
party. Some of her friends couldn't
attend. She ended up having 16
friends at the party. How many
friends couldn't go to the party?
What is the measure of ABC?
A. 60°
B. 45°
C. 120
D. 75m
the slope of the line that passes through the points (2,3) and (5,9) is
Answer:
The slope is 6/3 or simplified is 2
Step-by-step explanation:
Stick to this formula
y2-y1/
x2-x1
9-3/
5-2 = 6/3 or 2
See attachment for further explanation
Hope this helps (:
The slope of the line that passes through (2, 3)(5, 9) is 2
Slope formula is describe below:m = y₂ - y₁ / x₂ - x₁Therefore, the slope of the line that passes through the points (2, 3)(5, 9) can be found as follows;
y₁ = 3
y₂ = 9
x₁ = 2
x₂ = 5
m = 9 - 3 / 5 - 2
m = 6 / 3
m = 2
slope = 2
Therefore, the slope of the line that passes through (2, 3)(5, 9) is 2
learn more on slope:https://brainly.com/question/6639603?referrer=searchResults
I need an example of a proportional relationship
Answer:
if you want an equation... an example could be
y=3x+5
Step-by-step explanation:
Answer:
Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.
pls give brainliest
Farmer Brown has 360 feet of fencing to use to construct a rectangular enclosure for his prized goats. Which equation gives an area A as a function of the width w of the enclosure?
A(w)=180−w2
A(w)=360−w2
A(w)=180w−w2
A(w)=360w−2w2
Answer:
A(w) = 180w-w²
Step-by-step explanation:
Farmer Brown has 360 feet of fencing to use to construct a rectangular enclosure for his prized goats.
It means that the perimeter of the rectangle is 360 feet
The formula for the perimeter of a rectangular shape is given by :
P = 2(l+w)
l is length and w is width
ATQ,
2(l+w) = 360
(l+w) =180
l = 180 -w .....(1)
The formula for the area of a rectangle is given by :
A = lw
Put the value of l form equation (1).
A = (180-w)w
A(w) = 180w-w²
Hence, the correct option is (c).
Suzanne's cell phone bill is $84 per month, and she spends $171 per year on student health insurance. On an annual basis, the money spent on her cell phone bill is nothing% of the money spent on student health insurance. (Round to the nearest percent as needed.)
Answer:
49%
Step-by-step explanation:
84*100=8400
8400/171=49
Help ME PLSSS HURRY!!!!!!
Answer:
None of them are proportiionsal
Step-by-step explanation:
Answer:
i don't even see any proportiionsal
Step-by-step explanation:
33 is 5% of what number?
Answer:
660
Step-by-step explanation:
We know that .05x=33
To solve this just divide by .05
33/.05=660
Answer:
Let the number be x
[tex]5\% \: of \: x = 33 \\ \frac{5}{100} x = 33 \\ x = \frac{33 \times 100}{5} \\ \boxed{x =660}[/tex]
660 is the right answer.1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12
Answer:
33
Step-by-step explanation:
3(3) + 2 (2(3)+6)
=9 + 2 (12)
=9 + 24
=33
2x+22=5x-20, i need help with the steps and the answer. i suck at these :/
Answer:
x=14
Step-by-step explanation:
2x+22=5x-20
First, subtract 2x from both sides
22=3x-20Then add 20 to both sides
42=3xThen divide by 3 to both sides
14=x
Check your answer:
2(14)+22=5(14)-2050=50What is the equation
What do x=
Answer:
Step-by-step explanation:
9x=16
x = 16/9
I GIVEEEE BRAINLILTTTTTTTTTTTTT
Step-by-step explanation:
F 0,5
G 10,5
H 0,0
the numbers are positive when reflected across x axis
Use the associative property of addition to write an equivalent expression for (x+17) + y
An equivalent expression is
Answer:
x + (y + 17)
Step-by-step explanation:
The associative property of addition is characterized by altering the order of operations by putting brackets in a different place. The answer will always be the same. Just the order is different.
So one possibility and the one you are likely expected to give is
x + (y + 17)
That means that if 17 and y can be added by giving y a value, then they will be done first.
Then you add z to the result if it has been given a value.
The answer you are expected to give is x + (y + 17)
Five cups of flour are required to make one batch of cookies. How many cups are required to make 2.5 batches?
What is this answer? Please help.
9514 1404 393
Answer:
111.46 units
Step-by-step explanation:
The right triangle has side lengths that are 1/√2 times the hypotenuse length, so each is (18√2)/(√2) = 18 units. The top is this length shorter than the bottom, so the total of all side lengths (CW from left) is ...
18 + (43 -18) +18√2 +43 = 86 +18√2 ≈ 111.46 units
Four families went out for lunch. The total food
bill came to $167. The families also left a $30 tip for the
waitress. If each family spent the same amount, about how
much did each family spend on dinner? Explain how you
found your answer.
Answer:
Each family spent about 34.25 on dinner
Step-by-step explanation:
$167 - $30 (tip) = 137
137 ÷ 4 (for each family) = 34.25
BUT
if each family is seperate than they each spent about 11.75 on dinner
167 - (30 x 4) = 47
47 ÷ 4 = 11.75
I'm pretty sure the first one is the answer though
Use an inverse matrix to solve the system of equations, if possible.
2x + 3y = 2
x – 4y = -21
2x+3y-2=0
x-4y+21=0
do i need to explain orr..?
Answer:
yes You need to explain step by step explanation
PLEASE ANSWER ASSAP!!!!!!!!!!!!!!!! WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!
Since it has the square, it means that both angles added together is 90 degrees. And since both angles added together equals 90 degrees. The correct answer is (A) 7x+11x=90
Suppose a city with population 100,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 17 years
Answer:
34,000
Step-by-step explanation:
100,000-2% equals 2000 that’s the growth Population times that by 17 Years gives you total population growth
19. A computer store used a markup rate of 120%. Find the selling price of a computer game that cost the
retailer $25.
Answer:
The computer game would sell for $30.
Step-by-step explanation:
25 (1.20) = 30
Which statements are true about points A, B, and C? Check all that apply.
Janice is standing 15m form the base of a building. From the point where she is standing, the angle of elevation of the top of the building is 32 degrees. How tall is the building, to the nearest tenth of a metre?
Answer:
the building is 28m
Step-by-step explanation:
sallyport 4/5 gallon of water into a bird by the next morning she finds 3/4 of water gone. What is the amount of water,in gallons, that is gone.
A. 7\9 gallons
B. 3/5 gallons
C. 1/4 gallons
D. 1/5 gallons
Answer:
c
Step-by-step explanation:
if she filled it 4/5 and the next morning 3/4 of the water was gone the birds drank 1/4
3x+2(4x-4)=3 I need help with this asappp
Answer:
x=1
Step-by-step explanation:
3x+8x-8=3
11x=3+8
11x=11
x=11/11
x=1
What is the answer to this?
Answer:
36
Step-by-step explanation:
Tim goes on a car journey.
for the first 15 minutes his average speed is 40 mph
he then stops for 25 minutes
he then completes the journey at an average speed of 45mph
the total journey time is 1 hour.
A) draw a distance time graph for his journey?
B) what is the average speed for the whole journey?
Answer:
See attached picture ;
25 miles / hour
Step-by-step explanation:
First phase :
Travel time = 15 minutes
Average speed = 40 mph
Distance covered = speed * time
Distance covered = 40 * (15/60) = 10 miles
Second phase :
25 minutes stop
Third phase :
Average speed = 40 mph
Distance covered = speed * time
Travel time = 60 - (25 + 15) = 20 minutes
Distance covered = 45 * (20/60) = 15 miles
Average speed for the journey :
Total distance / total time taken
= (10 miles + 15 miles) / 1 hour
= 25 miles / hour
Evaluate the expression 4ab; if a = 2 and b = 5
Answer:
40
Step-by-step explanation:
Determine the number and types of solutions for
6m^2-3m-4=0
Given:
The equation is
[tex]6m^2-3m-4=0[/tex]
To find:
The number and types of solutions for the given equation.
Solution:
We have,
[tex]6m^2-3m-4=0[/tex]
It is a 2nd degree polynomial because the highest degree of the variable x is 2.
Number of solutions = Degree of the polynomial
Number of solutions = 2
Therefore, the given equation has 2 solutions.
In a quadratic equation [tex]ax^2+bx+c=0[/tex], if [tex]b^2-4ac>0[/tex], then the equation has two distinct real solutions.
For the given equation, a=6, b=-3 and c=-4.
[tex]D=b^2-4ac[/tex]
[tex]D=(-3)^2-4(6)(-4)[/tex]
[tex]D=9+96[/tex]
[tex]D=105>0[/tex]
Therefore, the given equation has two distinct real solutions.
Example: Study the example on the right to help you complete the problem below. Solve the equation A= bh for h. 2 O h Ab 8 = (1/3)6x (3)8 = (3)(1/3)6* multiplication property (3)8 = 6x simplify (3)8/6 = 6x/6 multiplication property (3)8/6 = x simplify simplify and symmetric property h = 2Alb O h = 2b/A he (1 b/A
The question is poorly formatted:
Example: Study the example on the right to help you complete the problem below.
Solve the equation
[tex]A= \frac{1}{2}bh[/tex] for h.
Options:
[tex]h = \frac{2A}{b}[/tex] [tex]h = \frac{2b}{A}[/tex] [tex]h = \frac{b}{A}[/tex] [tex]h = 2Ab[/tex]
Example:
[tex]8 = \frac{1}{3}6x[/tex]
Multiplication property
[tex](3)8 = (3)(\frac{1}{3})6x[/tex]
[tex](3)8 = 6x[/tex]
Simplify: [tex](3)\frac{8}{6} = \frac{6x}{6}[/tex]
Multiplication property: [tex](3)\frac{8}{6} = x[/tex]
Simplify: [tex]\frac{8}{2} = x[/tex]
Simplify : [tex]4 = x[/tex]
Symmetric property : [tex]x = 4[/tex]
Answer:
[tex]h = \frac{2A}{b}[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}bh[/tex]
Required
Solve for h
[tex]A= \frac{1}{2}bh[/tex]
Multiplication property
[tex]2 * A= \frac{1}{2}bh * 2[/tex]
[tex]2A = bh[/tex]
Simplify
[tex]\frac{2A}{b} = \frac{bh}{b}[/tex]
[tex]\frac{2A}{b} = h[/tex]
Symmetric property
[tex]h = \frac{2A}{b}[/tex]
Hence, the expression for h is:
[tex]h = \frac{2A}{b}[/tex]
Answer:
h = 2A/b
Step-by-step explanation:
that is the answer trust me. edge 2021
How do you know if a point is a solution to a linear inequality
Answer:
To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.
Step-by-step explanation:
