Answer:
See Explanation
Step-by-step explanation:
Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.
So, I'll make use of the following expression:
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]
When you follow the steps I'm about to provide, you'll arrive at the right answer
Required
Determine an equivalent expression
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]
Step 1: Take L.C.M of the denominators
[tex]LCM = (n+3)(n-4)[/tex]
Step 2: Evaluate the fractions
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]
Step 3: Open the brackets at the numerator
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]
Step 4: Collect and evaluate like terms
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]
Follow the above steps, and you'll be able to solve your question.
3.5x = 20 Round to nearest hundredths
place
Answer:
5.71
Step-by-step explanation:
x = 20/3.5 = 5.71
What is the reciprocal of 5/6
Answer:
6/5
Step-by-step explanation:
Answer:
The reciprocal of 5/6 would be 6/5
divide the stars into 3 equal groups .
How many stars are in each group ?
what is 1/3 of 9 ?
Answer: 3
Step-by-step explanation: Divide 9 by 3
Please help ASAP!!!!!!!!!!!!!
Answer:
im horrible at this kinda stuff-but is it 18......? ive always been bad-so if im wrong-dont get mad-
Step-by-step explanation:
happy new year!
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answer:
$2750/month
Step-by-step explanation:
Evaluate
Check all that apply.
2
5
O The exponent is
O The expanded form is
The expanded form is 2x2x2
5
6
15
8
125
Answer:
a b and e
Step-by-step explanation:
hope this helps
Answer:
it b and e
Step-by-step explanation:
rrrrrrrrrrrrrrr
The wingspan is 8 inches on a plane. The wingspan of the actual airplane
is how many inches? What is the wingspan of the actual airplane in
feet?
what linear equation in slope intercept from does this graph represent?
Answer:
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Step-by-step explanation:
The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.
We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].
Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).
Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.
Let's substitute in our points.
[tex]\frac{150-100}{3-0}[/tex]
Simplify.
[tex]\frac{50}{3}[/tex]
Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].
We'll put that in our equation for a line and...bam!
[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]
Ace gained $ 176 by selling 32 meters cloth for $1496. Find his loss per meters he sold it for $1276
Answer:
Selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Step-by-step explanation:
Given that Ace earned $ 176 selling 32 meters of cloth at $ 1496, to find out his loss for each meter if he sold the total for $ 1276, the following calculation must be performed:
1496 - 176 = 1320 (stock price)
1320/32 = 41.25 (price per meter)
1276/32 = 39.87
41.25 - 39.87 = 1.37
Thus, selling the total for $ 1276, Ace lost $ 1.37 for each meter.
Write the slope intercept form of the equation of the line through the given points
Nancy buys 2 large pizzas for her brother's birthday party. The girls at the party eat 78 of a large pizza. The boys at the party eat 58 of a large pizza. Nancy says about 112 pizzas were eaten at the party. Is Nancy correct?
Nancy is wrong because 78 is close to the benchmark 12 and 58 is close to the benchmark 12 and 12 + 12 = 1.
Nancy is wrong because 78 is close to the benchmark 1 and 58 is close to the benchmark 0 and 1 + 0 = 1.
Nancy is correct because 78 is close to benchmark 1 and 58 is close to benchmark 12 and 1 + 12= 112. .
Nancy is wrong because 78 is close to benchmark 1 and 58 is close to benchmark 1 and 1 + 1 = 2.
The answer is C hope it helps
Please helllp meeee !!!
Answer:
B
Step-by-step explanation:
8/5=1.6
Answer:
b
Step-by-step explanation:
8/5=1.6
The area of a square field is 4,900 square meters. How long is one side
of the field?
O 70 meters
O 140 meters
O 560 meters
O 1225 meters
Answer:
1225
Step-by-step explanation:
divide by 4 because a square has 4 sides
Where you include squares in the flow chart parallelogram, rectangle, quadrilateral
Answer:
yes
Step-by-step explanation:
it has 4 sides and thoes shapes heve sharp sides like a square
I made random account i will give brainliest and lots of points just help me with this question if you get it write i will give brainliest if wrong i will give 5 star and heart but get it right please her is pic
order the numbers from least to greatest and then subtract the lowest number from the greatest
ex : 4,6,9,3,7
the lowest number is 3 and the highest is 9 so 9-3 = 6 so for this example the answer is 6.
please help me i’ll mark brainliest, comment, and rate 5 stars
Answer:
c...........................
Please help!!! Multiply. Write your answer in scientific notation. (5×10 – 8)(1×103)
20 pts
Answer:
4.326 x 10^ 3
Step-by-step explanation:
Correct me if wrong please :)
find all the real and complex zeros of f(x)=x^3-7x^2+4x-28
Answer:
For [tex]x \in\mathbb{C}[/tex]
[tex]x = -2i[/tex]
[tex]x = 2i[/tex]
[tex]x = 7[/tex]
Step-by-step explanation:
[tex]f(x)=x^3-7x^2+4x-28[/tex]
For [tex]f(x) = 0[/tex]
[tex]x^3-7x^2+4x-28 = 0[/tex]
We can easily factor the expression [tex]x^3-7x^2+4x-28[/tex] by grouping.
[tex]x^3-7x^2+4x-28 = (x^3-7x^2)+(4x-28) = x^2(x-7)+4(x-7) = \boxed{(x^2+4)(x-7) }[/tex]
Now we have
[tex](x^2+4)(x-7) = 0[/tex]
Therefore,
[tex]x^2+4 = 0 \text{ or } x-7 = 0[/tex]
So,
[tex]x^2 = -4 \implies x = \pm\sqrt{-4}[/tex]
Once [tex]\sqrt{-1} = i[/tex]
[tex]x = \pm\sqrt{-4} = \pm\sqrt{4}\sqrt{-1} = \pm 2i[/tex]
Which polynomial can be factored using the binomial theorem?
81x2 + 117x + 169
81x2 + 234x + 169
6,561x4 – 9,477x3 + 13,689x2 – 19,773x + 28,561
6,561x4 – 18,954x3 + 27,378x2 – 39,546x + 28,561
Answer:
B.) 81x2 + 234x + 169
Step-by-step explanation:
A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes. (Round your answer to two decimal places.
Answer:
76.09 pounds
Step-by-step explanation:
From the information given:
[tex]R_{in} = (\dfrac{1}{2} \ lb/gal ) *(6 \ gal/min)[/tex]
[tex]R_{in} =3 \ lb/min[/tex]
At a slower of 4 gal/min, the solution gets pumped out;
So,
[tex]R_{out} = \dfrac{4A}{100+(6-4)t }[/tex]
[tex]R_{out} = \dfrac{2A}{50+t }[/tex]
The differential of the equation is:
[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A=3 ---(1)[/tex]
For the linear differential equation, the integrating factor is determined as:
[tex]\int_e \dfrac{2}{50 +t}dt = e^{2 In|50+t|[/tex]
[tex]= (50+t)^2[/tex]
Multiplying [tex](50+t)^2[/tex] with the above integration factor;
[tex](50+t)^2 \dfrac{dA}{dt} + 2 (50+t) A = 3(50 +t)^2[/tex]
[tex]\dfrac{d}{dt}[ (50 +t)^2 A] = 3(50+t)^2[/tex]
[tex](50+t)^2 A = (50 +t)^3 + c[/tex]
[tex]A = (50 +t) + c (50 +t )^{-2}[/tex]
By using the given condition:
A(0) = 40
40 = 50 + c (50)⁻²
10 = c(50)⁻²
OR
c = -10 × 2500
c = -25000
A = (50 + t) - 25000(50 + t)⁻²
The number of pounds of salt in the tank after 30 min is:
A(30) = (50+30) - 25000(50 + 30)⁻²
[tex]A(30) = 80 - \dfrac{25000}{6400}[/tex]
[tex]A(30) = 76.09 \ pounds[/tex]
Thus, the number of pounds of salt in the tank after 30 min is 76.09 pounds.
The ellipse with center C(2, -3), vertices V(-8,-3) and V2(12,-3), and foci F1(-4,-3) and F2(8,-3). 6.
The ellipse with vertices V.(-1,-4) and V2(-1,6), and foci F(-1,-3) and F2(-1,5).
Answer:
(x-2)²/100 + (y+3)²/64 = 1
Step-by-step explanation:
C (2,-3): h=2 k=-3
semimajor axis (CV): a=12-2=10
center-foci: c=8-2=6
semi minor axis: b² = a²-c²= 100 - 36 = 64
equation: (x-h)²/a² + (y-k)²/b² = 1
(x-2)²/100 + (y+3)²/64 = 1
A person was modeling a declining population with a decay factor of 0.5 using pennies. They started with 100 pennies and flipped all 100 pennies. Any pennies that landed on tails were removed. Then, the remaining pennies are flipped again and again the ones landing on tails were removed. The process is repeated until no pennies are left. How many flips is the most reasonable expectation for when this model should reach 0 pennies?
4 flips
8 flips
12 flips
16 flips
Answer: 8 flips
Step-by-step explanation:
Which of the following terms correctly describe the object below?
Check all that apply.
A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems
Answer:
The answer would be 30 minutes
Step-by-step explanation:
Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)
Multiply 25 times 1.2 (30)
Your answer would be 30 minutes
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest!!!
the Pythagorean theorem
please help answer all the questions
Answer:
Step-by-step explanation:
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]16^{2} +20^{2}= c^{2}[/tex]
256 + 400 = [tex]c^{2}[/tex]
656 = [tex]c^{2}[/tex]
25.6 = c
__________________________________________________________
B.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]25^{2}+ 10^{2} = c^{2}[/tex]
625 + 100 = [tex]c^{2}[/tex]
725 = [tex]c^{2}[/tex]
26.9 = c
__________________________________________________________
C.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]12^{2} +10^{2}= c^{2}[/tex]
144 + 100 = [tex]c^{2}[/tex]
244 = [tex]c^{2}[/tex]
15.6 = c
__________________________________________________________
D.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]26^{2}+ 24^{2} =c^{2}[/tex]
676 + 576 = [tex]c^{2}[/tex]
1,252 = [tex]c^{2}[/tex]
35.4
__________________________________________________________
Sry it takes a lot of time to put in these equations and all that
Hope it helped!
pls help asap!! no trolls
Answer:
7
Step-by-step explanation:
а>12-6
Complete each ratio table.
Answer:
I only, know one of them....
Step-by-step explanation:
An anchor was dropped into the ocean. It sank 60 feet below sea level in 5 seconds. What integer represents the anchor’s change in elevation per second?
Answer:
1245.89
Step-by-step explanation:
fthgxdtyujbcxfdrtyuhjnb bcfdtyhjnbcxdftgyhjn cftyghjn vcfghjnbvfghj
Which equation represents the relationship between the x-and y-values shown in the table?
What 12x12 I need help please help me
Answer:
144
Step-by-step explanation:
-0- Easy :D
