Answer:
55 adult tickets were sold on Friday.
Step-by-step explanation:
A linear system will be used to model the system.
Let c be the number of child tickets and a be the number of adult tickets
Then according to given statements
[tex]a+c = 133\ \ \ \ Eqn\ 1\\9.50a+5.20c = 928.10\ \ \ Eqn\ 2[/tex]
From equation 1
[tex]a = 133-c[/tex]
Putting this in equation 2
[tex]9.50(133-c)+5.20c = 928.10\\1263.5-9.50c+5.20c=928.10\\1263.5-4.3c = 928.10\\-4.3c = 928.10-1263.5\\-4.3c=-335.4\\\frac{-4.3c}{-4.3} = \frac{-335.4}{-4.3}\\c = 78[/tex]
Putting c = 78 in equation 1
[tex]a+78 = 133\\a = 133-78\\a = 55[/tex]
Hence,
55 adult tickets were sold on Friday.
Which expression is equivalent to (xy)z?
A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)
Answer:
c
Step-by-step explanation:
Answer:
It's C Aka x(yz)
Step-by-step explanation:
I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)
Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)
Answer:
3/-7
Step-by-step explanation:
Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.
You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7
can some one please help me im confused on this im really stuck :(
Write an algebraic expression that models the following statement:
Four times the sum of 'x' and '7'.
Answer:
4(x+7)
or 4x+28
Step-by-step explanation:
Here you go:)
The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call
In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?
Answer:
The correct option is;
[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Step-by-step explanation:
The given parameters are
The equation of motion of one (the first) object is r = 4·cos(θ)
The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)
Equating both equations gives;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -1/2
θ = Arccos(-1/2) = 120° = 2·π/3
Therefore, the two equations are equal when θ = 2·π/3 for which we have;
r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2
∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])
Given that ,
The first object is moving around the screen r = 4 cos(0)
The second object is moving around the screen r = -1 + 2cos(0)
We have to find ,
The coordinates represent a possible collision point of the objects.
According to the question,
Coordinate represent collision points to object ,
Equating both equations ;
4·cos(θ) = -1 + 2·cos(θ)
4·cos(θ) - 2·cos(θ) = -1
2·cos(θ) = -1
cos(θ) = -[tex]\frac{1}{2}[/tex]
θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°
[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]
Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]
We have;
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2
And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =
r = -2
r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])
r = -2
The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .
Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .
For the more information about Motion of Equation line click the link given below.
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2.5(a + 4) + 0.5a = 12.4
Answer:
a=0.8
Step-by-step explanation:
First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.
Hope this helps you :)
What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , thus
y = x + c ← is the partial equation
To find c substitute (1, 0) into the partial equation
0 = 1 + c ⇒ c = 0 - 1 = - 1
y = x - 1 ← equation of line
What is the coefficient of the last term in the binomial expansion of (x + 1)9?
Answer:
1 is the coefficient of the last term in the binomial expansion
Can 6/-6 be simplified?
Answer:
yes. it would technically be -1
Step-by-step explanation:
Because fractions are technically division, 6 ÷-6 = -1
Answer:
yes it can be simplified to 6/6 thats the lowest term
Step-by-step explanation:
hoped it helped
can u give me a brainlist?
I NEED HELP THIS IS MISSING I GIVE BRAINLIEST only if you are right tho
Answer:
I thinks its negative
Step-by-step explanation:
because since there is more neagitive that positive it will be neagitive
Fihding the Selling Price for a Given Profit
Soccer ball profit
y = -6x2 + 100x – 180
Suppose the store wants to earn a daily profit of
$150 from the sale of soccer balls. To earn this
profit, what price should the store charge for each
soccer ball? Explain how to solve this problem.
DONE
) Intro
6 of 8
Answer:
2.05 and 14.61
Step-by-step explanation:
On Edg
If two lines are perpendicular to each other, do they lie in the same plane?
Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!
Answer:
y=8
Step-by-step explanation:
(-2,8) (3,8)
x,y. x,y
y2-y1/X2-X1=
8-(8)= 0
3-(-2)= 5
since the two points have 8 in the Y space the line would be equal to y= 8
y+1=1/2(x-8) in standard form- pls explain
Write the following number in standard form: 3.471 x 10 to the power of negative 3
Answer:
=-3471 is the answer this may help you.
Step-by-step explanation:
=3.471×10^-3
=3.471×-1000
=-3471
This is the problem that I need help with please. :)
Answer:
umm I think it 186
Step-by-step explanation:
Benji wrote the expression below to match the description "three less than the quotient of a number and nine" he wrote “3-n/9”explain benji's error
Let p(n) be the number of primes less than n. What is p(50)
Answer:
There are 15 prime numbers less than 50
Step-by-step explanation:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Solve one third plus seven ninths equals
Answer:
1 1/9 0r 10/9
Step-by-step explanation:
the least common denominator or LCM of the two denominators:
LCM of 3 and 9 is 9
For the 1st fraction, since 3 × 3 = 9,
1
3
=
1 × 3=3
3 × 3=9
= 3/9
Likewise, for the 2nd fraction, since 9 × 1 = 9,
7
9
=
7 × 1=7
9 × 1=9
=7/9
Add the two fractions:
3
9
+
7
9
=
3/9+ 7/9=10/9
So, 1/3 + 7/9 = 10/9
In mixed form: 1 1/9
Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)
Answer:
Your answer is going to be - 722
Step-by-step explanation:
(3-41)=-38
(-3+22)=19
-38*19=-722
Answer: (3 – 41) x (-3+22)= -722
When you go to do the multiplication or any math like this
parentheses,
exponents,
multiplication &division,
addition & subtraction,
Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,
So If you do the math in P-E-M-D-A-S (3−41)(−3+22)
=−38(−3+22)
=(−38)(19)
=−722
-722 is your answer
Q1)Complete the table of values of y=6/x
Q2)Which of A,B or C is the correct curve for y=6/x
I will give brainliest!!! Help pleaze
Answer:
Q1) 12, 2, 1.5, 1
Q2) I believe its C
Step-by-step explanation:
Hope it helps!
Answer:
1st question 12, 2, 1.5, 1
2nd question C
Step-by-step explanation:
Hope I helped
A hamburger costs $(2x + 3), chips costs $(x - 1) and a drink costs $(3x - 5). Write an
algebraic expression for the total cost of a hamburger, chips and a drink.
Answer:
(2x+3)+(x-1)+(3x-5)
Step-by-step explanation:
add all your expressions & Ect together .
Find the perimeter of the figure below, composed of a rectangle and semicircle. Round to the nearest tenths place.
The perimeter of the given figure is 44.28 units.
Given that, from the figure length of a rectangle = 15 units, width of a rectangle = 4 units and the radius of a semicircle = 2 units.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here, perimeter = Perimeter of a rectangle + Circumference of a semicircle
= 2(15+4) + 2πr/2
= 2×19 + 3.14×2
= 38 + 6.28
= 44.28 units
Therefore, the perimeter of the given figure is 44.28 units.
To learn more about the perimeter of a rectangle visit:
https://brainly.com/question/15287805.
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Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property
Answer:
Division property
Step-by-step explanation:
you would need to set up your equation. Then divide -3x by -3 to get x alone. then you do 348 divided by -3 to get your answer
-3x=348
-3= -3
x=-116
You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.
Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12
Y=2x+6
3y-x+3=0
Substitute to solve
Brainliest for correct answer
Answer:
-21/5 or -4.2
Step-by-step explanation:
y = 2x + 6
3y - x + 3 = 0
Substitute the value for y from the first equation into the second equation. Solve for x.
3y - x + 3 = 0
3(2x + 6) - x + 3= 0
6x + 18 - x + 3 = 0
5x + 18 + 3 = 0
5x + 21 = 0
5x + 21 - 21 = 0 - 21
5x = -21
x = -21/5 or -4.2
Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1
Answer:
1/3
Step-by-step explanation:
20/60 simplified is 1/3
20 for the red light
60 all of them added
(picture)
for each number on the left,place a check mark under the numbers it is divisible by.
45- 3, 5, 9
369- 3, 9
7870- 2, 5, 10
1976- 2, 4,
6003- 3, 9
136- 2, 3, 4
1674- 2, 3, 6, 9
35496- 2, 3, 4, 6, 9