Answer:
[tex]\boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for the sum of 2 fractions.}[/tex]
[tex]\large\underline{\textsf{What are Fractions?}}[/tex]
[tex]\textsf{Fractions are representations of rational numbers that can be represented as part}[/tex]
[tex]\textsf{of a whole number.}[/tex]
[tex]\underline{\textsf{What are the parts of a fraction?}}[/tex]
[tex]\textsf{Fractions have 2 parts, they're called the Numerator and the Denominator.}[/tex]
[tex]\frac{\sf Numerator}{\sf Denominator}[/tex]
[tex]\textsf{The Numerator represents the amount of equal parts a certain rational number}[/tex]
[tex]\textsf{has compared to the Denominator. The Denominator represents the total amount}[/tex]
[tex]\textsf{of parts that make a fraction equal to 1. If the Numerator is the same as the}[/tex]
[tex]\textsf{Denominator, then the fraction is just 1. If the Numerator is greater than 1, then}[/tex]
[tex]\textsf{this kind of fraction is considered an Improper Fraction, and improper fractions}[/tex]
[tex]\textsf{are fractions that are improper due to the Numerator being greater than the}[/tex]
[tex]\textsf{Denominator, which means these fractions shouldn't be represented as fractions,}[/tex]
[tex]\textsf{but there's nothing wrong with representing it as a fraction.}[/tex]
[tex]\textsf{Since we know what majority of fractions are, we may begin adding these fractions}[/tex]
[tex]\textsf{which are improper.}[/tex]
[tex]\large\underline{\textsf{How are we able to Add Fractions?}}[/tex]
[tex]\textsf{Adding Fractions is simply adding the Numerators together since the Denominator}[/tex]
[tex]\textsf{can't be changed, if so then the equation won't be equal.}[/tex]
[tex]\textsf{*Remember that when adding fractions we must have common denominators.}[/tex]
[tex]\textsf{This means that we should find the LCM (Least Common Multiple) of the}[/tex]
[tex]\textsf{Denominators.}[/tex]
[tex]\underline{\textsf{For our problem;}}[/tex]
[tex]\textsf{Since we already have Common Denominators, we are able to simply add the}[/tex]
[tex]\textsf{Numerators.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Add the Numerators together.}[/tex]
[tex]\tt \frac{\boxed{\tt 23}}{9} + \frac{\boxed{\tt 17}}{9} =\boxed{\tt \frac{40}9}[/tex]
[tex]\tt \frac{40}{9} \ \textsf{can be our final answer. However, since our sum is an Improper Fraction, it's}[/tex]
[tex]\textsf{greater than 1. Since 40 can divide into 9 about 4 times, our whole number will}[/tex]
[tex]\textsf{be 4, and the remainder will be our fraction.}[/tex]
[tex]\underline{\textsf{Explained in numerical;}}[/tex]
[tex]\tt \frac{40}{9} = \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{9}{9} + \frac{4}{9} = \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]*\tt \frac{36}{9} = \frac{4}{1}[/tex]
[tex]\textsf{These are called Whole Number Fractions.}[/tex]
[tex]\large\underline{\textsf{Hence;}}[/tex]
[tex]\tt \frac{23}{9} + \frac{17}{9} = \boxed{\tt \frac{40}{9}} \ \sf or \ \boxed{\tt 4 \frac{4}{9}}[/tex]
[tex]\large\underline{\textsf{Learn more about Fractions;}}[/tex]
https://brainly.com/question/26180542
[tex]\textsf{This answer will give you a great review of how to turn word-form problems into}[/tex]
[tex]\textsf{fractions, and how to simpify those fractions.}[/tex]
Find m
∠
F
E
D
∠FED. This question is going to be 20 points
Answer:
the answer is : 180° - (61° +61°) = 58°
8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.
-
Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
Sammy's Chipmunk & Squirrel Observations
For a science project, Sammy observed a chipmunk and a squirrel stashing
acorns in holes. The chipmunk hid 3 acorns in each of the holes it dug. The
squirrel hid 4 acorns in each of the holes it dug. They each hid the same number
of acorns, although the squirrel needed 4 fewer holes. How many acorns did the
chipmunk hide?
Answer:12 accorns
Step-by-step explanation:
If they each hid the same number of acorns, although the squirrel needed 4 fewer holes, the chipmunk hid 3 acorns in each hole
Let's assume the number of holes the chipmunk dug is 'c', and the number of acorns it hid in each hole is 'x'. Similarly, let's assume the number of holes the squirrel dug is 's', and the number of acorns it hid in each hole is 'y'.
According to the information provided, the chipmunk hid 3 acorns in each of the holes it dug, so x = 3. The squirrel hid 4 acorns in each of the holes it dug, so y = 4.
Both the chipmunk and squirrel hid the same number of acorns, so cx = sy.
Also, the squirrel needed 4 fewer holes, so s = c - 4.
Now, we can use the information to set up a system of equations:
cx = sy
c - 4 = s
Substitute the value of s from the second equation into the first equation:
c(c - 4) = 3(c - 4)
Expand the equation:
c² - 4c = 3c - 12
Now, bring all terms to one side of the equation:
c² - 4c - 3c + 12 = 0
Combine like terms:
c² - 7c + 12 = 0
Now, factor the quadratic equation:
(c - 3)(c - 4) = 0
Now, set each factor to zero and solve for 'c':
c - 3 = 0 => c = 3
c - 4 = 0 => c = 4
Since the chipmunk hid 3 acorns in each hole, the correct answer is The chipmunk hid 3 acorns.
To learn more about equations click on,
https://brainly.com/question/28975436
#SPJ2
100 points ‼️ (I would give more but that’s the limit)
The cost C in dollars of producing a certain item is represented by the equation C = n/2+ 20. where n
represents the number of items produced. The revenue R, in dollars, from selling n items is represented by
the equation R=2n+ 5. For what value of n are the cost and revenue equal?
O 5
O 10
O 15
0 20
Considering the definition of equation, for a value of n of 10 the cost and revenue are equal.
What is equationA first degree equation is a mathematical equality with one or more unknowns.
Solving an equation consists of finding the value that the unknown must take so that equality is fulfilled.
The steps to solve an equation are as follows:
Group similar terms. That is, proceed to pass the terms containing variables from one side of the expression and the constants from the other side of the expression.Finally, the unknown is solved.Value of nThe cost C in dollars of producing a certain item is represented by the equation C = [tex]\frac{n}{2}[/tex]+ 20, where n represents the number of items produced.
The revenue R, in dollars, from selling n items is represented by the equation R=2n+ 5.
The cost and revenue are equal. Then:
[tex]\frac{n}{2}[/tex]+ 20= 2n+ 5
Solving:
When a term passes to the other side of equality, its sign changes (if it is positive it becomes negative and vice versa):
20 -5= 2n - [tex]\frac{n}{2}[/tex]
15= [tex]\frac{3}{2}n[/tex]
The X is cleared. Since the term in front of it is multiplying, it goes to the other side of the equation by dividing.
15 ÷[tex]\frac{3}{2}[/tex]= n
10= n
Finally, for a value of n of 10 the cost and revenue are equal.
Learn more with this similar problems:
https://brainly.com/question/16905064
https://brainly.com/question/22375191
#SPJ2
simplify (√(π -√17)^2)
Answer: The answer is Iπ + √17|.
The next two systems do NOT have opposite like terms
Answer:
x = 10
y = 6
Step-by-step explanation:
Multiply second equation with -1 and then add it up with first equation
(-1)*(6x - 7y) = 18
-6x + 7y = -18
6x - 6y - 6x + 7y = 24 - 18 add like terms
y = 6 to find the value of x use this information
6x - 6y = 24 replace y with 6
6x - 6*6 = 24
6x - 36 = 24 add 36 to both sides
6x = 60 divide both sides by 6
x = 10
Need help pls answer asap. Sorry the photo quality is bad.
Answer:
Step-by-step explanation:
1 + 3 = 4
so find the point 1/4 of the way from (-1, 2) to (7, 8)
x coordinate
Δx = ¼(7 - (-1)) = 2
x = x₀ + Δx
x = -1 + 2 = 1
y coordinate
Δy = ¼(8 - 2) = 1½
y = y₀ + Δy
y = 2 + 1½ = 3½
(1, 3½)
i could use help plz
Answer:
6.70
+26.87
33.57
Step-by-step explanation:
Couldn't explain sorry
-hope it helps
Jenny is a great saver! She has $80 in her savings account. She deposits $25 each week into her account. She wants to save at least $300 before she begins to withdraw money from her account. Which of the following inequalities can Jenny use to determine when she can withdraw money from her account?
Answer:
[tex]80+25x\geq 300[/tex]
Step-by-step explanation:
Since she already has 80$ in the account it will be the starting point.
To those 80$ she adds 25$/w.
Since the amount of week is what needs to be determined we'll refer to it as x.
So far we have 80 + 25x.
Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.
Which gives us [tex]80+25x\geq 300[/tex]
What equation represents this sentence? 42 is the quotient of a number and 6.
Answer:
42= x/6
Step-by-step explanation:
Quotient means the answer of a division problem
sense we don’t know the ”number” in this situation it will be seen as a variable or x
x / 6 = 42
to find x we just do 42/6 to get 7
x=7
what is the value of x
Answer:
I Know the answer but it has too many steps-by-step explanation so I cant tell comment and mark me brainliest.
Step-by-step explanation:
The question in the picture
Answer:
[tex]3^{30}[/tex]
Step-by-step explanation:
When you are raising an exponent to another power, you multiply the exponents together:
[tex]3^{30}[/tex]
-> Hopefully this is correct, unfortunately the picture is quite blurry
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
find the quotient 3^1^5/3^3 3^5 3^18 3^12 3^45
Answer:
It's about drive its about power put in the work put in the hours and take what's ours
Step-by-step explanation:
It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours It's about drive its about power put in the work put in the hours and take what's ours
If A is the center of the circle which of these is the radii
Answer:
A-b because radius is the line segments from its center to its perimeter
Step-by-step explanation:
3. My divisor is 8.
I am less than 30.
I am greater than 3 X 8.
My remainder is 5.
What dividend am I?
Answer: 29
Step-by-step explanation:
29 ÷ 8 = 3 remainder: 5
I solved using long division.
Answer:
29
Step-by-step explanation:
30
24
5
8x3=24
24+5= 29
Beacuase it had to be smaller than 30
special right triangles, solve for x, y and z
Answer:
x=14
y=27
z=43
Step-by-step explanation:
hope it helps!
according to Ms. Duckett, what is important to remember about finances?
Answer:
Being financially literate helps a person to distinguish between financial decisions that will be beneficial, and that will be detrimental to their financial future. Having a plan for your finances will help you meet your short and long-term needs, without going beyond your income
Step-by-step explanation:
Ppbags where here
Which inequality is shown in this graph?
(-2, 2.
• (0-2)
A. Y=2x-2
OOC
B. y 2 - 2x - 2
c. y = 2x - 2
D.VS - 2x - 2
what is 70*77 please help
How many 1/4s are in 1 1/2
GIVING 25 POINTS
Why won’t you ever have a remainder when dividing decimals?
Answer:
Because it is decimal
Step-by-step explanation:
Decimal do not have remainder
1 less then the quotent of a number n and 6
" the quotient " means divide
(n/6) - 1 <== ur expression
Image attached giving 25 points please help
Answer:
Step-by-step explanation:
Rational number ,because it can be written as 37 which is a ratio
(-1,-3); slope 5
PLEASE HELP
What is the LCM between 2 & 7?
bro i need this hella bad
Answer: 14
the answer is 14
Answer: 14
Step-by-step explanation: LCMof 2 and 7 is the smallest number among all common multiples of 2 and 7. The first few multiples of 2 and 7 are (2, 4, 6, 8, 10, 12, 14, . . . ) and (7, 14, 21, 28, 35, 42, 49, . . . ) respectively.
what is the answer when you multiply 5.30 one by 5.02
Answer:
I think is there answer is 26.606
3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?
Answer:
20m+60
Step-by-step explanation:
given,
mark=m
june=m+6(6 years older that mark)
so,
after 10 years,
10(m+(m+6)
=10(2m+6)
=20m+60
4. The population of a town is modeled by the equation P = 3485e
0.125
, where "P"
represents the population as of the year 2000.
• According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.
Student's Work
Student's Answer
A. Part A: 11,571 people in 2010
Part B: approx. 22 years
B. Part A: 38,416 people in 2010
Part B: approx. 13 years
C. Part A: 11,571 people in 2010;
The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000
The population model is given as:
[tex]P(x) = 3485e^{0.125x}[/tex]
(a) The population in 2010
In 2010, the value of x is 10.
So, we have:
[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]
Evaluate the exponent
[tex]P(10) = 3485 * e^{(1.25)}[/tex]
This gives
[tex]P(10) = 121634[/tex]
(b) Year to reach 50000
This means that P = 50000.
So, we have:
[tex]50000 = 3485e^{0.125x}[/tex]
Divide both sides of the equation by 3485
[tex]14.35 = e^{0.125x}[/tex]
Take natural logarithm of both sides
[tex]\ln(14.35) =0.125x[/tex]
[tex]2.66 =0.125x[/tex]
Divide both sides by 0.125
[tex]21.28 = x[/tex]
Rewrite as:
[tex]x =21.28[/tex]
Approximate
[tex]x =21[/tex]
Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000
Read more about population models at:
https://brainly.com/question/25630111
Graph all solutions on a number line and provide the corresponding interval notation. 1. 3x + 5>-4 2. 2x+1> -1 3.5-6y < -1 4.7-9y> 43 5.6-a≤6
Graphs attached
Done!
Hopw it helps