Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
An alarm bell will ring when the pressurized gas in a cylinder reaches an internal pressure that is 215% of the maximum allowable pressure. If the maximum allowable pressure
is 220 pounds per square inch, at what pressure, in pounds per square inch, will the alarm bell ring?
Answer:
The alarm bell will ring at 473 psi.
Step-by-step explanation:
To answer this, find 215% of 220 pounds per square inch:
Convert the percentage 215% to its decimal fraction equivalent, 2.15, and then multiply 220 pounds per square inch by it:
2.15(220 psi) = 473 psi
The alarm bell will ring at 473 psi.
What's the special name for a quadratic that has one solution?
The polynomial equation x3- 4x2 + 2x+ 10 = x2 - 5x-3 has complex roots 3+2i. What is the other root? Use a graphing
calculator and a system of equations.
Answer:
Step-by-step explanation:
Given Equation:
x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3
which simplifies to
x^3- 5x^2 + 7x+ 13 = 0
Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.
The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13
The other root can therefore be obtained by long division
(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1
Therefore the three roots are:
{x=3-2i, x=3+2i, x=-1 }
Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).
Answer:
Step-by-step explanation:
(-6 , 4) & (-1 , 2)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}[/tex]
m = -2/5 & (-6 , 4)
y -y1 = m(x -x1)
[tex]y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}[/tex]
What is $14.81+$16.19-8cents? plz hurry
Answer:
$30.92
Step-by-step explanation:
Answer:
$23 I hope this helps :)
Step-by-step explanation:
What is the range of 149 111 171 166 152 129 162 144
3 in
The volume of
the figure is
cubic in.
6 in
3 in
3 in
7 in
16 in.
Answer:
6in is the cubic volume
Step-by-step explanation:
If I'm wrong just correct me
Bab needs help please!
Answer:
V =282.6 in ^3
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
We know pi = 3.14 r= 3 and h =10
V = 3.14* 3^2 *10
V =282.6
need help with statistics plssssss
Answer:
where is the question . ..... we are ready to help you
Please help me I’m stuck on this urgent
Answer:
The answer for "b" is... B.
or 53˚
Step-by-step explanation:
Subtract 180 with 127
which is 53˚
will mark brainliest
Answer:for points vgunvh
Step-by-step explanation:
Which section of the graph represents the solution of the system of inequalities shown?
Answer:
Q
Step-by-step explanation:
5x+15y ≥ -20
Solve for y
15 y≥ -5x-20
Divide by 15
y ≥ -5x/15 -20/15
y ≥ -1/3 x -4/3
Y is greater than or equal to so shade above and on the line
4x-2y > 6
Solve for y
-2y > -4x+6
y < 2x -3
Shade below the line
The double shaded area is the solution
==========================================================
Explanation:
Let's focus on the inequality 4x-2y > 6
Plug in (x,y) = (0,0) to find that...
4x-2y > 6
4(0)-2(0) > 6
0 > 6
This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).
-----------------
Let's check the point (0,0) with the other inequality as well
[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]
This is true because 0 is to the right of -20 on the number line.
So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.
------------------
To summarize so far, we found that
regions Q and R make 4x-2y > 6 true, regions P and Q make [tex]5x + 15y \ge -20\\\\[/tex] true.The overlap is region Q which is the final answer
Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.
use graph to answer the question
Answer: [tex]36.86^{\circ}[/tex]
Step-by-step explanation:
Given
Coordinates of Point A is [tex](-3,-4)[/tex] i.e. Point A is 3 units to the left and 4 units below x-axis
From figure, we can write
[tex]\Rightarrow \tan \theta =\dfrac{3}{4}\\\\\Rightarrow \theta=\tan^{-1}\left(\dfrac{3}{4}\right)\\\\\Rightarrow \theta=36.86^{\circ}[/tex]
differentiate
f(x)= 186.5
Answer:
Hope this helps!
Step-by-step explanation:
f'(x)=0
Which expression has a value closest to 1 ? (Use 3.14 as the value of pie.)
Answer:
The square root of 37 minus the square root of 26
[tex]\sqrt{37} -\sqrt{26}[/tex]
Step-by-step explanation:
a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95
b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058
c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98
s) 3 square root 5 - square root 20 / square root 2 =
3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=
3.546
PLSS help !!!Which of the following correctly shows the first step when factoring 3ab + 3ac – 4db – 4dc by grouping?
Answer:
Factorise:
3a(b+c)-4d(b+c)
Last one.
Further on:
(3a-4d)(b+c)
The factor 3ab + 3ac – 4db – 4dc can be grouped as
a(3b + 3c) - d(4b + 4c).
What is the difference between factoring and grouping?
We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.
Given: 3ab + 3ac - 4db - 4dc.
Expanding the equation a(3b + 3c): 3ab + 3 a c
=3 a b+3 a c-d(4 b+4 c)
Expanding the equation -d(4 b+4 c): -4bd - 4cd
a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd
Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).
To learn more about factoring and grouping
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These triangles are congruent by the triangle congruence postulate [?]
Given:
A figure of two congruent triangles.
To find:
The triangle congruence postulate by which the given triangles are congruent.
Solution:
First label the vertices as shown below.
In triangle ABC and triangle CDA,
[tex]AB\cong CD[/tex] (Given)
[tex]\angle BAC\cong \angle DCA[/tex] (Given)
[tex]AC\cong AC[/tex] (Common side)
The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.
[tex]\Delta ABC\cong \Delta CDA[/tex] [SAS congruence postulate]
Therefore, the correct option is B.
Help Math question Write ur answers
Answer:
this can be solved by simple unitary method
[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]
Question 1 of 10
Classify the following triangle. Check all that apply.
60
60
60
O A. Isosceles
B. Equilateral
O C. Scalene
O D. Acute
E. Right
Answer:
A, B, & D
Step-by-step explanation:
A. isosceles - 2 sides equal (actually) all sides are equal
B. equilateral - all sides equal and all angles are equal too
D acute - all angles are less than 90 degrees
Find the number of turns or bumps in the graph of the function f(x) = 7x3 - 14x2 + 2.
The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex] is 2.
What is function?
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a,b)| for all a ∈ A, b ∈ B}
Given,
[tex]f(x)=7x^3-14x+2[/tex]
Answer has shown in the attached file.
Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex] is 2.
Learn more about Graph plotting:
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PLease help me answer this.
Answer:
1093.96
Step-by-step explanation:
900(1+.05)⁴=1093.955625
You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth.The probability of choosing a red tile and then a vowel is
Multiply or divide as indicated.
5a2.6a4
Answer:
3a^6
Step-by-step explanation:
Answer:
[tex]30 {a}^{6} [/tex]
Step-by-step explanation:
Hope it is helpful...
helpppppp meeeee!!!!!
if u answer all 5 questions i´ll give you Brainliest!!!
Answer:
You can use M a t h w a y. and you will get all the correct answers
Step-by-step explanation:
Hope this helps :)
Answer:
question 21: 29
question 16: -1/729
question 15: 1/144
question 14: 1/64
question d=rt, solving for t: answer is Letter G, t=d/r
Step-by-step explanation:
Hope this helps
Anyone know how to factorise this please ?! :)
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
__
b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3
Please help! 8th grade geometry! Thank you<3
Answer:
Length of the hypotenuse - 10
Step-by-step explanation:
To find the hypotenuse, we need to use the Pythagorean theorem.
a^2 + b^2 = c^2
8^2 + 6^2 = c^2
64 + 36 = c^2
c^2 = 100
c = 10
I’ll give brainliest (No links, I will reported)
which of these is correct and why?
Answer:
A,E,G
Step-by-step explanation:
use sohcahtoa
sine = opposite/hypotenuse
cosine=adjacent/hypotenuse
tangent=opposite/adjacent
Are the following polygons similar ? Explain
Answer:
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio (in other words, if they are proportional). Typically, problems with similar polygons ask for missing sides.
Step-by-step explanation:
Evaluate the expression when a = -6 and b = 3 A -2b
Answer:
-6- (2(3))
-6-6=-12
Answer= -12
Step-by-step explanation:
PLEASE HELP! Solve the system of equations by graphing on your own paper. What is true about the system?
A. There is exactly one solution to the system of equations.
B. There are infinitely many solutions to the system of equations,
C. There are exactly two solutions to the system of equations.
D. There are no solutions to the system of equations.
Answer:
B. There are infinitely many solutions to the system of equations,
Step-by-step explanation:
they are the same line look at image