Answer:
(6x² +4x -20)/(x² +x -3) cm
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width. Here, length and width are rational functions. The same relation to perimeter applies.
__
[tex]P = 2(L+W)\\\\P=2\left(\dfrac{2x^2 +3x-5}{x^2+x-3}+\dfrac{x^2-x-5}{x^2+x-3}\right)\qquad\text{use given values for $L$ and $W$}\\\\P=2\left(\dfrac{2x^2+3x-5+x^2-x-5}{x^2+x-3}\right)=\dfrac{2(3x^2 +2x-10)}{x^2+x-3}\\\\P=\dfrac{6x^2+4x-20}{x^2+x-3}\\\\\underline{\ \qquad}\\\\\textsf{It would take $\dfrac{6x^2+4x-20}{x^2+x-3}$ cm of ribbon to go around the package.}[/tex]
LAST CHANCE FOR TONS OF POINTS!!!!!!! AND BRAINLIEST!!!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?
Answer:
6
Step-by-step explanation:
The perimeter of an isosceles triangle is 4 times the length of the shortest side. The longer sides are 4.5 ft longer than the shortest side. What is the length of each side of the triangle?
Answer:
Shorter side = 9 feetLonger sides = 13.5 feetStep-by-step explanation:
Let :
Shorter side = xLonger sides = x + 4.5Perimeter = 4xSolving
2(x + 4.5) + x = 4x2x + 9 + x = 4xx = 9 feetSolution
Shorter side = 9 feetLonger sides = 13.5 feetAnswer:
short side: 9 ftlonger sides: 13.5 ftStep-by-step explanation:
The given information lets us write two equations relating the side lengths.
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setupLet L and S represent the lengths of the longer and shorter sides. We are told ...
S + L + L = 4S . . . . . the perimeter is 4 times the short side length
L = 4.5 +S
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solutionUsing the second equation to substitute for L in the first equation, we have ...
S +2(4.5 +S) = 4S
9 = S . . . . . . . . . . . . . simplify, subtract 3S
L = 4.5 +S = 13.5
The shortest side is 9 ft; the longer sides are 13.5 ft.
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Additional comment
The perimeter is 36 ft.
Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?
Answer:
$437.50
Step-by-step explanation:
The amount of tax is found by multiplying the tax rate by the amount being taxed.
__
0.0175 × $25,000 = $437.50
They are required to pay a business tax of $437.50.
121. How much sand is needed to fill a sandbox
8 feet by 6 feet to a depth of 18 inches?
A. 64 cu
B. 62 cu ft.
C. 74 cu ft.
D. 72 cu ft.
E. 68 cu ft.
Answer: The answer is D. 72 cu ft.
Step-by-step explanation:
Please help me! Im so confused. If you could explain, too that would be great!!! <3
Answer:
the base length is 8 units
Step-by-step explanation:
You can use pythagorean theorem to solve this
A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. the baseball team sold 36 more individual tickets than group tickets. the fundraiser raised $574 as a result of all ticket sales. if x is the number of the individual tickets that were sold and y is the number of group tickets that were sold, how many individual tickets were sold (what is the value of x)?
To form equations from word problems, we can do the following:
Identify variablesFind key informationIdentify word equations and translate into numerical equationsSolveSolving the QuestionWe're given:
Let x be the number of individual tickets that were soldLet y be the number of group tickets soldCost of 1x = 7 dollarsCost of 1y = 16 dollarsBaseball team: 36 more x than yQuestion: How many individual tickets were sold? (What is the value of x?)
Here are all the equations we have created:
x = 36 + y7x + 16y = 574We can solve for the value of x using systems of equations.
First, isolate y in the first equation:
[tex]x = 36 + y\\y=x-36[/tex]
Now, plug this into the second equation:
[tex]7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50[/tex]
Therefore, x is equal to 50.
Answer50 individual tickets were sold.
The graph of y = x³ + x² - 6x is shown. a) Estimate the x-coordinates of the turning points of the graph. X= Note: Please use a comma between your answers. b) Use the graph to find the solutions of x³ + x² - 6x = 0 X = Note: Please use a comma between your answers. -5 -4 3 -2 у 104 8- 6 4 2 -1 O -2- -4 60 -6- -8 -10- 1 2 3 X₁ 4 5
Answer:
Below.
Step-by-step explanation:
(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.
(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.
Find the sum of 2/3 and it’s additive inverse
Answer:
0
Step-by-step explanation:
2/3 additive inverse is 2/3
-2/3+2/3 is neutral = zero
-2/3+2/3 = 0
A company offers its employees free recreational activities and gym memberships. of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. if an employee is chosen at random, what is the probability that the employee has registered for both recreational activities and gym memberships?
a.) 39/40
b.) 3/20
c.) 17/20
d.) 1/40
From the calculation, we can see that, the probability that an employee has registered for both recreational activities and gym memberships is 1/40.
What is probability?The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.
Given that;
Number that registered for recreational activities = 95
Number that registered for gym membership = 80
Number that did not register at all = 30
Total number of gym employees =200
Hence; 95 + 80 +30 =205
Number that registered for both recreational activities and gym membership
= 205 - 200 =5
The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40
Learn more about probability:https://brainly.com/question/11234923
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Which of the following graphs could be the graph of the function f(x)=0.003x^2(x^2-25)?
Answer:
See below
Step-by-step explanation:
You don't give any options, but here's the information you can get from just the equation itself:
Since your polynomial is a 4th-degree polynomial, I would expect to see 3 turning points at most. I would also expect to see zeroes at x=0, x=5, and x=-5Look for these characteristics and find the appropriate graph.
(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?
20
22
23
32
Answer:
22
Step-by-step explanation:
3-1=2
2+3^2 x 2
3x3=9
2+9 x2
11x2=22
Find the value of x in the parallelogram below.
Answer:
102
Step-by-step explanation:
78 and x are adjacent angles.
Sum of adjacent angles is 180 in a parallelogram.
78 + x = 180
x = 180 - 78
x = 102
Answer:
102°
Step-by-step explanation:
A parallelogram is a special type of quadrilateral that has both the pair of opposite sides parallel and equal.78+x= 180( adjacent angles in a parallelogram)
x=180-78=102°
Define relation in math
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.
Step-by-step explanation:
The two cylinders pictured at the right are congruent Haw
does the volume of the larger cone compare to the total volume of the
two smaller cones? Explain
They both have the equal volumes
JS
.
The volume of the larger cone is equal to the total volume of the two smaller cones
How to compare both cones?From the question, we have two equal cylinders.
This means that the cylinders have equal volume.
From the complete question, a large cone is placed in one of the cylinders, while two small cones are placed in the other.
Since the cylinders have equal volumes, then the volume of the large cone equals the sum of the volumes of the smaller cones.
Hence, the volume of the larger cone is equal to the total volume of the two smaller cones
Read more about volumes at:
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4y+8-2y if y=3 what is the answer
Answer:
14.
Step-by-step explanation:
Plug 3 in for y:
= 4(3) + 8 - 2(3)
= 12 + 8 - 6
= 14.
Justify each step in solving the equation 2 + 3 = 4( − 6) by writing a reason for each statement
If the value of x will be 11 degrees. Then the measure of angle ∠AEB will be 72 degrees.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Two lines AC and BD are intersecting each other at point E.
The angle ∠AEB = 7x - 5 and the angle ∠CED = 2(4x - 8).
Then the measure of angle ∠AEB will be
We know the angle ∠AEB and ∠CED are the vertically opposite angle. Then they both are equal.
∠AEB = ∠CED
7x - 5 = 2 (4x - 8)
7x - 5 = 8x - 16
16 - 5 = 8x - 7x
x = 11
Then the measure of angle ∠AEB will be
∠AEB = 7x - 5
∠AEB = 7 (11) - 5
∠AEB = 77 - 5
∠AEB = 72°
More about the angled link is given below.
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PLEASE HELP ME WITH THIS QUESTION
Answer:
75582
Step-by-step explanation:
The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:
C(n, k) = n!/(k!(n-k)!)
C(19, 8) = 19!/(8!(11!)) = 75582
help me out here guys
Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)
Which two functions, when graphed, have the same number of x-intercepts?
A.
f(x) and g(x)
B.
g(x) and h(x)
C.
h(x) and k(x)
D.
k(x) and f(x)
help me with math please
Answer:
B. x ~ 5
This is a right isosceles triangle
Which statements are true about function g?
Answer:
The domain is all real numbers
The y - intercept is 2
The function is decreasing over its entire domain
and yet another i hope you all had fun doing these problems
Tara is making dinner for 9 people. she mixes 114 kilograms of rice with 500 grams of vegetables and 410 grams of meat. if all of the food is split evenly among the diners, what is the size of each serving?
a.240 grams
b.244 grams
c.250 grams
d.256 grams
Answer:
Step-by-step explanation:
Remark
An amount no 9 people could consume. 114 kg is a huge amount of cooked rice. I' going to give a solution that says the rice is 114 grams of rice and see what happens.
Givens
rice = 114 grams
veggies = 500 grams
meat = 410 grams
Solution
Add the givens
114
500
410
Total = 1024 grams
If 9 people are going to be present, (I assume that includes Tara), then each person will get 1024 / 9 = 113.8 which is none of the choices. There is something wrong with the problem. I would suggest you ask your teacher how this is done.
Answer
None of those given
By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years
Answer:
The closest answer would be 7 years
Step-by-step explanation:
In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.
Answer: answer would be 7 years
Step-by-step explanation:
just did it
Which function is represented by the graph?
Answer:
cos(x-[tex]\frac{pi}{4}[/tex])-2
Step-by-step explanation:
The function is cos(x).
The horizontal shift is caused by (x- pi/4) so it would go to the right a distance of pi/4. If it was positive the entire thing would go left (x + pi/4).
The vertical shift is caused by the negative 2. Unlike horizontal shifts, negative moves it down and positive moves it up.
The x-axis is in radians. Desmos has option to change it to radian.
A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red
Answer:
15
----
153
15=6+3+1
153=18×17÷2
The area A of the rectangle shown is 500 square meters. Find the value of x. Then give the dimensions of the rectangle.
Answer:
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mStep-by-step explanation:
Area Formula
*Area* = *Length* × *Width*Given
Area = 500 square metersLength = (4x - 3) metersWidth = (2x + 6) metersSolving
(4x - 3)(2x + 6) = 5008x² - 6x + 24x - 18 = 5008x² + 18x - 18 - 500 = 04x² + 9x - 259 = 0(4x + 37)(x - 7) = 0x = 7 [as distance is always positive]Dimensions
Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 mNow
Area =LB(4x-3)(2x+6)=5008x²+18x-518=0(x-7)(4x+37)=0x=7 or -37/4Take it positive
L=4(7)-3=28-3=25B=2(7)+6=20How do I do this????
Answer:
your answer will be 10 and that rounded to the nearest hundredth is 100.
Step-by-step explanation:
i really hope this is right
An investment of $10,000 is invested for 6 years at r% pa compounded weekly. If the investment grows to $14320.44, calculate the value of r.
I m sorry I hv no idea
.........
What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to the nearest hundredth.
Group of answer choices
4 radians
0.25 radians
0.33 radians
36 radians
Answer: 0.25 radians
Step-by-step explanation:
2.5h + 3.1 = 13.1 what is h?
Answer:
h=4
Step-by-step explanation:
