what is the difference between 6 and 2 1/5.
Answer:
3.8
Step-by-step explanation:
6 - 2 1/5 = 6 - 11/5
= 6-2.2
=3.8
The difference between the 6 and 2 1/5 will be 3.8
What is a fraction?A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1. A mixed fraction contains a sum of whole number and a proper fraction.
So, WE need to find the difference between the 6 and [tex]2 \frac{1}{5}[/tex].
First we need to convert the mixed fraction into simple fraction.
[tex]2 \frac{1}{5}[/tex] = 11/5
Therefore, the difference between them will be;
6 - [tex]2 \frac{1}{5}[/tex] = 6 - 11/5
= 6 - 2.2
= 3.8
Hence, the difference between the 6 and [tex]2 \frac{1}{5}[/tex] will be 3.8
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Suppose you want to start saving for retirement. You decide to continuously invest $20000 of your income each year in a risk-free investment with a 7% yearly interest rate, compounded continuously.
If yy is the value of the investment, and tt is in years:
dydt=dydt=
Your answer should be in terms of yy.
You start investing at t=0t=0 so y(0)=0y(0)=0.
y(t)=y(t)=
What is the size of your investment after 30 years.
Answer:
Following are the solution to the given points:
Step-by-step explanation:
p= amount at any time
then [tex]\frac{dp}{dt}=0.07 p[/tex]
[tex]p=p_0 (1+e^{0.07 t) \\\\[/tex]
[tex]P_0=\ principle \ amount \\\\ interest \ =p-p_0=p_0e^{0.07t}\\\\ p=y\frac{dy}{dt}=0.07y_0[/tex]
at time [tex]= t\ years[/tex]
[tex]\frac{dp}{dt}\\\\c_0=\$ \ 20000\ year\\\\p \to p+dp\\\\ dp=0.07p+c_0[/tex]
y= amount at any times
[tex]\frac{dy}{dt}=0.07y+c_0\\\\dt= \frac{dy}{c_0+0.07y}[/tex]
For point a:
[tex]\frac{dy}{dt}=20000+0.07 y[/tex]
For point b:
[tex]\frac{dy}{20000+0.07 y}=dt\\\\\frac{1}{0.07}|n(\frac{0.07y+20000}{20000})=t\\\\\frac{0.07y}{20000}+1=e^{0.07t}\\\\y=7.1428\times 10^4[e^{0.07t} -1]\\\\y=\frac{20000}{0.07}[e^{0.07t}-1]\\\\[/tex]
For point c:
[tex]y(30)=827391.75[/tex]
billy jogs 4/5 kilometer every minute.how many kilometers does he jog after 6 1/8 minutes?
Answer:
[tex]Distance =24\frac{1}{2}\ km[/tex]
Step-by-step explanation:
Given
[tex]Rate = \frac{4}{5} km/ min[/tex]
Required
Determine the distance covered in [tex]6\frac{1}{8}\ min[/tex]
The distance is calculated using:
[tex]Distance = Rate * Time[/tex]
This gives:
[tex]Distance = 4 * 6\frac{1}{8}[/tex]
Convert to improper fraction
[tex]Distance = 4 * \frac{49}{8}[/tex]
[tex]Distance = \frac{4 * 49}{8}[/tex]
[tex]Distance = \frac{196}{8}[/tex]
[tex]Distance =24\frac{1}{2}\ km[/tex]
Factorise x 2 + 20 x + 100
Answer:
(x+10)(x+10)
or (x+10)²
Step-by-step explanation:
this factories can use this
a² + 2ab + b²
; (a)² + 2(a)(10) + (b)²
= (a+b)²
hope it helps you ☺️
Any questions (ask me in comments)
Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.
a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)
Answer:
attached below
Step-by-step explanation:
Applying the rule of logical equivalences
attached below is a detailed solution ( written as a numbered sequence of statements )
Answer:
identity laws, domination laws, commutative laws, double negation laws these are some laws from logical equivalence.
What is logical equivalence?
A tautology is a claim that is true no matter what the truth values of the propositional variables it includes are.Contradictions and absurdities refer to a group of propositions that are all untrue.It's also known as a contingency when a composite proposition contains neither a tautology nor a contradiction.What does this imply in actuality, though?To make sense of this, go to the following truth table.
Contradiction and tautology
Inconsistency, contradiction, and tautology So a tautology is when every single statement in a column is true, as defined by Oak Ridge National Laboratory, and is often indicated by a bold-faced capital T. When the entire column is untrue, a contradiction, which is often denoted by a boldface capital F, exists.
However, why is this significant?
We may better understand propositional equivalences, or assertions that are equivalent in logical reasoning, by using tautologies and contradictions, which are necessary in establishing or verifying mathematical arguments. Our task will be to confirm the logical equivalentity of propositions like p and q.
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Please help thank you! (read the screenshot)
Answer:
Step-by-step explanation:
Answer:
i dont know this one sorry wish i could help
Step-by-step explanation:
About 21 out of 25 Texans live in An urban area
Answer:
I'm confused. Is there more to the question?
A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be _____ inches.
Which relationship describes angles 1 and 2?
Question 1 options:
vertical angles
complementary angles
supplementary angles
adjacent angles
Answer:
it describes vertically opposite angle
Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.
Hi there!
[tex]\large\boxed{x = 16}[/tex]
x / 2 - 5 = 3
Begin by adding 5 to both sides to isolate for x:
x / 2 - 5 + 5 = 3 + 5
x / 2 = 8
Multiply both sides by 2 to have "x" alone on the left-hand side:
(x / 2) × 2 = 8 × 2
x = 16
Answer:
because if x is 16
16/2 = 8 and so on 8 - 5= 3 so that is the answer
Step-by-step explanation:
Marco sells and ships oranges from the trees in his orange grove for $1.25 per pound plus a shipping fee. One package has a shipping fee of $4.95 and a total cost of $11.20. Write and solve an equation to find the number of pounds of oranges in the package. Show your work.
(Please help )
Answer:
Let x = the number of pounds of oranges in the packet.
The equation: 11.20 = 1.25x + 4.95
11.20 = 1.25x+4.95
6.25 = 1.25x
x = 5
There are 5 pounds of oranges in the packet.
Let me know if this helps!
PLS HELP GIVING BRANLIEST AND GIVING 25 PTS PLS HELPP!!!!
Answer:
108.0625
Step-by-step explanation:
Add all the differences to the initial value
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
mams buy 3 large sandwiches to serve at a picnic. 9 people come to the picnic. Show 3 different ways to cut the sandwich so that each person gets an equal share.
Cut each sandwich into thirds.
Hopefully, your friends aren't very hungry
ANSWER ASAP:
What is the solution set for this inequality: 55 > 7m + 6
Answer:
m<7
Step-by-step explanation:
Answer:
m<7
Step-by-step explanation:
The weight of an object on the moon is 1/6 its weight on earth. If a bowling ball weighs 12 and 1/2 pounds on earth, how much does it weigh on the moon?
Help plz I’m stuck on this
Who is the protagonist?
A. the magician
b. Aladdin
c. the princess
D. the tailor
Answer:
it is a) the magician
Step-by-step explanation:
comment if its wrong mark me brainlest if it is right
I will give brainiest.
Answer:
the third one is the answer
Help! I’m suppose to distribute and simplify.
-1(45p+22)-(4(9p)+11)
= −1(45p + 22) + −1(4(9p) + 11)
= −1(45p + 22) + −1(4(9p)) + (−1)(11)
= −1(45p + 22) + −36p + −11
Distribute= (−1)(45p) + (−1)(22) + −36p + −11
= −45p + −22 + −36p + −11
Combine Like Terms= −45p + −22 + −36p + −11
= (−45p + −36p) + (−22 + −11)
= −81p + −33
Adding A Negative Is The Same Thing As Subtracting So Our Answer Is:-81p - 33
- Pacific Northwest
3x + 4y =12 and 2x +6y = 18.
3x + 4y = - 12 = 0
x + 3y = - 9 = 0
At what corridnate point do y= 1/2 x + 4 and x + 4y = 4 intersect.
Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
Which table represent the statement "A computer repairman makes $25 per hour"?
Answer:
c
Step-by-step explanation:
5x5x5x5= ______ to the power of _____
Answer:
5 4
Step-by-step explanation:
its fristly 5
ok then bb
Answer:
5x5x5x5=625
Step-by-step explanation:
The sum of - 7/9 and 11/18 is _____
Answer:
[tex]-\frac{1}{6}[/tex]
Step-by-step explanation:
Common denominator: 18
-14/18 + 11/18
= -3/18
Reduce:
-1/6
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answer:
i dont know the answer but good luck
Step-by-step explanation:
How many solutions can be found for the system of linear equations represented on the graph
A)no solution
B)one solution
C)two solutions
D)infinitely many solutions
Answer:
1. 2/y-1
2. y-2
Step-by-step explanation:
The equation in blue is 2/y-1
The equation in red is y−2
So the answer is one solution
Please help :(
To multiply a sum or difference by a number, multiply each
number in the sum or difference by the number ____________ the
parentheses.
Options:
inside
outside
above
below
Answer:
Outside
Step-by-step explanation:
From what I see, your question might look like this a(b +/- c)
"a" would be on the outside.
Solve the inequality x +8 > 3
Answer:-5
Step-by-step explanation:
how do you explain 15 video games to 18 video games in ratios and rates?
15 vg
18 vg
Just put a line in-between them to make a fraction.