Answers
Step-by-step explanation:
Get the denominators by doing the LCM then divide the result by each denominator then multiply by the numerator
Answer:
1) y+x / xy
2) 7y+2x / 14xy
3) 3y-11x / 33xy
4) 33y+25x / 55xy
5) 10y-x / 22xy
6) 48y-5x / 15xy
Order
1 4
2 5
3 6
Related Questions
Write your own word problem that involves a multistep linear equation. Then translate your problem into its resulting math equation.
Answers
Answer:
The cost of admission to a festival was $112 for 9 children and 3 adults. The admission was $108 for 8 children and 3 adults in another festival. How much was the admission for each child and adult?
Step-by-step explanation:
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answers
Answer:
g = f/2
Step-by-step explanation:
Since it is given that 2 side lengths are the same, the 2 triangles produced are similar triangles. That means the ratio from f to g would have to be half, as the ratio of the similar triangle is 1:2.
Select the correct answer.
What is the solution to this system of equations?
x - 2y = 15
2x + 4y=-18
O A. x= 1, y= -6
B.
x= 1, y=-7
C. x= 3, y=-6
D. x= 3. y=-7
Reset
Next
Answers
Answer:
A. x=3, y= -6
Step-by-step explanation:
x - 2y = 15
2x + 4y= -18
Solving for x
x-2y=15
Subtract x from both sides
-2y= -x+15
Multiply both sides by -1
2y=x-15
Multiply both sides by 2
4y=2x-30
2x+4y= -18
Subtract 2x from both sides
4y= -2x-18
Combine equations:
-2x-18=2x-30
Add 2x to both sides
-18=4x-30
Add 30 to both sides
12=4x
4x=12
Divide both sides by 4
x=3
Solving for y
x-2y=15
Add 2y to both sides
x=2y+15
Multiply both sides by 2
2x=4y+30
2x + 4y= -18
Subtract 4y from both sides
2x= -4y-18
Combine equations:
-4y-18=4y+30
Add 4y to both sides
-18=8y+30
Subtract 30 from both sides
8y= -48
Divide both sides by 8
y= -6
Answer:
anwser c
Step-by-step explanation:
help? please? ill give brainliest :)
Answers
Answer:
100ml bottle is cheapest per ml
Step-by-step explanation:
The 80 ml bottle sells for 55 so that makes 80 ml for 5500 p which calculates to 68.75p per ml.
the 2 50 ml bottles will cost 45+22.50 = 67.50 which makes 100 ml for 6750p
this makes it 67.5p per ml which is cheaper than the 80 ml bottle
90 POINTSSS PLEASE HELP!!!!!
Triangle C D E is translated down and to the right to form triangle C prime D prime E prime. Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?
ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'
Answers
The correct option is (B).ΔDCE ≅ ΔD'C'E'
Given,
Triangle CDE is translated down and to the right, forming triangle C'D'E'.
We have to find which statement is correct.
We know that,Triangle has three angles so when we translated it down it doesn't change.
Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.
Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So
[tex]CD =C'D'[/tex]
[tex]\ CE = \ C'E'[/tex]
[tex]DE =D'E'[/tex]
So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.
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Answer: It's B. I hope this helps!!!!
First identify the angle RELATIONSHIP, then find the measure of the angle indicated in bold.
Answers
Answer:
Alternate Interior Angles; 95°
Step-by-step explanation:
Alternate interior angles have the same measure (meaning they are the same number of degrees.) You can set up an equation to solve for x.
11x - 4 = 9x + 14
+4 +4
11x = 9x + 18
-9x -9x
2x = 18 x = 9 Now substitute 9 into one of the expressions.
11(9)-4
99 - 4 = 95
Check the other expression...
9(9)+14
81 + 14 = 95
multiply (x^2+4x+2) (2x^2+3x-4)
Answers
Answer:
(x² + 4x + 2)(2x² + 3x - 4) equals 2x⁴ + 11x³ + 12x² - 10x - 8
Step-by-step explanation:
(x² + 4x + 2)(2x² + 3x - 4)
Multiply each term in the first parentheses into the expression in the second parentheses.
2x⁴ + 3x³ - 4x² + 8x³ + 12x² - 16x + 4x² + 6x - 8
Combine like terms.
2x⁴ + 11x³ + 12x² - 10x - 8
So, your answer would be letter choice B.
Answer: B
Step-by-step explanation:
(x^2+4x+2) (2x^2+3x-4)
= x^2 (2x^2+3x-4) + 4x (2x^2+3x-4) +
2 (2x^2+3x-4)
= 2x^4 + 3x3 - 4x^2 + 8x^3 + 12x^2 - 16x + 4x^2 + 6x - 8
= 2x^4 + 11x^3 + 12x^2 - 10x - 8
The end behaviour for the polynomial function h(x)=−x3+x4−2x+1 h ( x ) = - x 3 + x 4 - 2 x + 1 is: x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→[infinity] x → - [infinity] , y → [infinity] and x→[infinity], y→[infinity] x → [infinity] , y → [infinity] x→−[infinity], y→−[infinity] x → - [infinity] , y → - [infinity] and x→[infinity], y→−[infinity] x → [infinity] , y → - [infinity] Unable to tell.
Answers
Answer:
[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]
Step-by-step explanation:
Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]
To examine its end behavior, we create a table of values that we can then examine.
[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]
From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.
Therefore, as:
[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]
if x=2 what is x-6/8 + 5
Answers
Answer:
[tex] \frac{9}{2} [/tex]Solution,
X=2
Now,
[tex] \frac{x - 6}{8} + 5 \\ = \frac{2 - 6}{8} + 5 \\ = \frac{ - 4}{8} + 5 \\ = \frac{ - 4 + 5 \times 8}{8} \\ = \frac{ - 4 + 40}{8} \\ = \frac{36}{8} \\ = \frac{9}{2} [/tex]
hope this helps ..
Good luck on your assignment..
Simplify this expression. 4x-12/x^2-9
Answers
Answer:
4/(x+3)Step-by-step explanation:
write the expression down:
4x-12/x^2-9
factor:
4(x-3)/(x+3)(x-3)
simplify:
4/(x+3)
Find the equation of the line through point (−4,−4) and perpendicular to 2x+3y=3. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
Answer:
y = 3/2x + 2
Step-by-step explanation:
Step 1: Write original equation into slope-intercept form
3y = -2x + 3
y = -2/3x + 1
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the other slope.
m = 3/2x
Step 3: Find b
y = 3/2x + b
-4 = 3/2(-4) + b
-4 = -6 + b
b = 2
Step 4: Rewrite perpendicular equation
y = 3/2x + 2
Tyler flies a plane against a headwind for 4320 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Tyler fly the plane when there is no wind?
Answers
Answer:
The plane travels at a speed of 66 miles per hour without wind.
Step-by-step explanation:
Tyler trip has to stage, the first one where he went against the wind and the second where he returned with the wind. We know that the wind speed is 6 mph, if we attribute the variable "x" to the speed of the plane without wind, then on the first stage of its trip the total speed relative to the ground was "x - 6", while on the return trip it was "x + 6". We also know that the distance between the trips was the same 4320 miles, but the second stage was 12 hours faster. We will use the average speed formula to solve this problem, this is shown below:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]
For the first trip the speed was:
[tex]x - 6 = \frac{4320}{\text{time}_1}\\\\\text{time}_1 = \frac{4320}{x - 6}[/tex]
For the second trip the speed was:
[tex]x + 6 = \frac{4320}{\text{time}_2}\\\\\text{time}_2 = \frac{4320}{x + 6}[/tex]
Since the time for the second trip was 12 hours less, then if we add 12 to the second equation it should be equal to the first, so:
[tex]time_2 + 12 = time_1[/tex]
[tex]\frac{4320}{x + 6} +12 = \frac{4320}{x - 6}\\\frac{4320}{x+ 6} - \frac{4320}{x - 6} = -12\\\frac{4320*(x - 6) - 4320*(x + 6)}{x^2 - 36} = -12\\4320*x - 25920 - 4320*x - 25920 = -12*x^2+ 432\\-51840 = -12*x^2 +432\\12*x^2 =51840 + 432\\x^2 = \frac{52272}{12}\\x^2 = 4356\\x = 66[/tex]
The plane travels at a speed of 66 miles per hour.
What is the value of x? Enter your answer in the box. x =
Answers
Answer:
4 units
Step-by-step explanation:
Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA
Line LJ is the opposite side while LK is the hypotenuse side. Hence,
Sin 30 = LJ/8√2
LJ = 8√2 × 1/2
= 4√2
Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.
Sin 45 = x/4√2
x = 4√2 × 1/√2
x = 4
Answer:
4
Step-by-step explanation:
Just took the test in k12
Which of the following demonstrates the Commutative Property of Multiplication? 2(6a − 3) = (6a − 3) ⋅ 2 2(6a − 3) = 12a − 6 12a − 6 = (6a − 3) ⋅ 2 (2 ⋅ 6a) − 3 = 2(6a − 3) will pick brainliest
Answers
Answer:
AStep-by-step explanation:
The Commutative Property of Multiplication states that it doesn't matter in what order you multiply terms to get the same answer:
In this case
A: commutative property
B: distributive property
C: distributive property
D: associative property
Thus the answer is option A
What is the value of the expression when n = 3?
GO
- 2 n(5 + n-8-3n)
Answers
Answer:
54
Step-by-step explanation:
since n = 3
= -2n ( 5n+n-8-3n)
= -2 (3) ( 5+(3)-8-3(3) )
= -6 (5+3-8-9)
= -6 (5-5-9)
= -6 (-9)
= 54.
Hans corrio 3 millas en la pista hizo un descanso y luego corio 4/5 de milla mas. Escribe el numero de millas que corrio hans como faccion impropia equivalente.
Answers
Answer:
19/5
Step-by-step explanation:
Aquí, queremos escribir el número total de millas que Hans corrió en forma de una fracción impropia.
Para hacer esto, agregamos todas las millas recorridas.
Matemáticamente, eso sería 3 + 4/5 = 3 4/5 Esta es la forma de fracción mixta.
La fracción impropia es así (5 * 3) + 4/5 = 19/5
Describe the transformation from the parent function of f(x)=x2 to g(x)=(x-5)^2(Need answer in less than 2 hours!) a. a vertical compression with a scale factor of -1/5 b. a translation of 5 units down c. a translation of 5 units to the right d. a horizontal stretch with a scale factor of 5
Answers
Answer: (c) a translation 5 units to the RIGHT
Step-by-step explanation:
Consider h(x) = A(x - h)² + k
A is the vertical stretch (by factor of A)h is the horizontal shift (positive = Right, negative = Left)k is the vertical shift (positive = Up, negative = Down)f(x) = x²
g(x) = (x - +5)²
↓
positive means to the RIGHT
(c) a translation 5 units to the RIGHT
The calculation is as follows:Here we have to considered that
h(x) = A(x - h)² + k
here
A represent the vertical stretch (by factor of A)
h represent the horizontal shift (positive = Right, negative = Left)
k represent the vertical shift (positive = Up, negative = Down)
f(x) = x²
g(x) = (x - +5)²
↓
positive shows to the RIGHT
learn more: https://brainly.com/question/7695753?referrer=searchResults
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system
ОА.
There is no solution.
OB.
The lines in a system cannot be parallel.
Ос.
There are infinitely many solutions.
OD.
There is exactly one solution.
Answers
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
If the lines are parallel then they never intersect, thus there can be no solution.
Answer:
ОА.
There is no solution
Step-by-step explanation:
If lines are parallel, they will have no common points, so no solution
Suzy has 7 separate rings as shown in the figure on the left. She wants to make one open chain as shown in the figure on the right. What is the least number of rings Suzy needs to cut?
Answers
Answer:
every other one
Step-by-step explanation:
to put it specifically rings, 2, 4 and 6
Rebecca went on a 240 mile trip to a soccer game. On the way back, due to road construction she had to drive 12 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game? She drove _______ mph on the way to the soccer game.
Answers
Answer:
20mph
Step-by-step explanation:
because you have to divide 240 by 12 and the answer is 20
3. Graph the line by finding the x and y intercepts. 2x + 3y = 6
Answers
Answer:
x-int: (3, 0)
y-int: (0, 2)
Step-by-step explanation:
The x-int is found when y = 0. Set y to 0 to solve for the x-int.
The y-int is found when x = 0. Set x equal to 0 to solve for the y-int.
d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 Evaluate d if ( x 1 , y 1 ) = ( 0 , − 5 ) and ( x 2 , y 2 ) = ( 4 , − 3 ) . Leave your answer in surd form.
Answers
Answer:
[tex]d=2\sqrt{5}[/tex] units
Step-by-step explanation:
[tex]\text{Distance, }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$If ( x_1 , y_1 ) = ( 0 , - 5 )$ and ( x_2 , y_2 ) = ( 4 , - 3 )\\\\d=\sqrt{(4-0)^2+(-3-(-5))^2} \\=\sqrt{4^2+(-3+5)^2}\\=\sqrt{4^2+2^2}\\=\sqrt{20}\\\\d=2\sqrt{5}$ units[/tex]
A boat can travel 10 miles against a current in the same time that it can travel 40 miles with the current. The rate of the current is 3 mph. Find the rate of the boat in still water.
Answers
Answer:
x = 5 mph
the rate of the boat in still water is 5 mph.
Step-by-step explanation:
Let x represent the speed of the boat in still water;
Given that the rate of the current is 3 mph.
When it is traveling against current, its relative speed is;
v1 = x - 3
When it is traveling with current, its relative speed is;
v1 = x + 3
Given;
A boat can travel 10 miles against a current in the same time that it can travel 40 miles with the current.
d1 = 10 miles
d2 = 40 miles
Distance = speed × time
time = distance/speed
The time taken for both cases are the same t;
t = d1/v1 = d2/v2
d1/v1 = d2/v2
Substituting the values;
10/(x-3) = 40/(x+3)
Cross multiply;
10(x+3)= 40(x-3)
10x + 30 = 40x - 120
Collecting the like terms;
40x -10x = 120+30
30x = 150
x = 150/30
x = 5 mph
the rate of the boat in still water is 5 mph.
Find the equation of the line through point (1,−5) and perpendicular to y=18x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).
Answers
Answer:
y = -1/18x - 89/18
Step-by-step explanation:
Step 1: Find the slope of the perpendicular line
Do this by taking the negative reciprocal of the original line
m = -1/18
Step 2: Find b
y = -1/18x + b
-5 = -1/18(1) + b
-5 = -1/18 + b
b = -89/18
Step 3: Rewrite entire equation
y = -1/18x - 89/18
please help. i dont understand what i have to do and how to get it. thank you
Answers
Answer:
[tex]\left[\begin{array}{ccc}9\\10\\\end{array}\right][/tex]
Step-by-step explanation:
Evaluate 3a by multiplying each element by 3
3a = 3 [tex]\left[\begin{array}{ccc}2\\4\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3(2)\\3(4)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}6\\12&\\\end{array}\right][/tex], then
3a + b
= [tex]\left[\begin{array}{ccc}6\\12\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3\\-2\\\end{array}\right][/tex] ← sum corresponding elements
= [tex]\left[\begin{array}{ccc}6+3\\12-2\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}9\\10\\\end{array}\right][/tex]
On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling the sail, you want to determine if the sail forms a right triangle, an acute triangle, or an obtuse triangle. What type of triangle is being depicted from the measurements?
Answers
Answer:
Shape of Triangular sail is Obtuse Angled Triangle.
Step-by-step explanation:
The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!
Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft
To find: Shape of Sail .i.e., shape of triangle
We use a result which states that
if a , b , c are sides of triangle where c is greater then a & b.
now, if c² < a² + b² then triangle is Acute angled
if c² = a² + b² then triangle is Right angled
if c² > a² + b² then triangle is Obtuse angled
here a = 7 , b = 7 & c = 15
c² = 15² = 225
a² + b² = 7² + 7² = 49 + 49 = 98
since, c² > a² + b²
⇒ Triangle must be Obtuse Angled.
Therefore, Shape of Triangular sail is Obtuse Angled Triangle.
Lara's Inc. Is currently an unlevered firm with 450,000 shares of stock outstanding, with a market price of $15 a share. The company has earnings before interest and taxes of $314,000. Lara's met with his bankers, Warne Incorporated and agreed to borrow $825,000, at 5 percent. You are an ardent investor and you currently own 20,000 shares of Lara's stock. If you seek to unlevered your position; how many shares of Lara's stock will you continue to own, if you can loan out funds at 5 percent interest? Ignore taxes in your deliberations. Kindly show all workings.
Answers
Answer:
Step-by-step explanation:
Value of firm = Number of shares×Market price per share
= 450,000 × $15
= $6,750,000
Value of debt = $825,000
Weight of debt = $825,000 / $6,750,000 = 12.22%
Number of shares continue to own = 20,000 × (1 - 12.22%) = 17,555.56 or 17,556 shares
Number of shares continue to own = 17,555.56 or 17,556 shares
The discriminant of the function is
Answers
Answer:
A. is 0
Step-by-step explanation:
When the discriminant is 0, there is one solution to the function, meaning the parabola intersects the x-axis at only one point. Here, that point is (2, 0).
I hope this helps :))
We created this inequality to represent how Amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Part A
Set the inequality greater than or equal to 0.
Part B
Simplify the inequality by dividing by the GCF so the leading coefficient is positive.
Part C
Factor the left side of the inequality by grouping.
Part D
Solve the quadratic inequality. Remember to check any possible solutions for viability.
Part E
What is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Part F
What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.
Answers
Answer:
x = 2
Price = $29
Step-by-step explanation:
If x is the number of $2 dollars increases, then the minimum number of increases required to meet her goal is:
[tex]-100x^2 + 15,750x + 212,500 \geq 243,600\\-100x^2 + 15,750x -31,100\geq 0\\x^2 -157.5x + 311\geq 0\\x=\frac{157.5\pm\sqrt{157.5^2-(4*1*311)} }{2}\\ x_1= 2\\x_2=155.5[/tex]
The only realistic value is x = 2 $2 increases
If the original price was $25, then the new rice required to reach Amy's goal is:
[tex]P=25+2*2\\P=\$29[/tex]
The minimum ticket price is $29.
Answer: B: 2x^2-315x+622_< 0
C: (2x-311)(x-2)_< 0
("_<" means greaten than for equal to)
Find the 52nd term of the arithmetic sequence —24, –7, 10, ...
Answers
Answer:
843Step-by-step explanation:
[tex]a = -24\\d = t2 -t1\\d = -7-(-24)\\d = -7+24\\d = 17\\\\T_{n} = a +(n-1)d\\T_{52} = -24+(52-1)17\\T_{52} = -24+(51)17\\T_{52} = -24+867\\T_{52} = 843[/tex]
I hope i am correct
Answer:
843
Step-by-step explanation:
Here,
First term a = - 24
Common difference (d) = - 7 - (-24) = - 7 + 24 = 17
Nth term of an Arithmetic sequence is given as:
[tex]a_n = a + (n-1)d \\ a_{52} = - 24 + (52-1) \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 51 \times 17 \\ a_{52} = - 24 + 867\\ a_{52} = - 24 + 867 \\ \\ \huge \red { \boxed{ a_{52} = 843}}[/tex]