Answer:
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
Step-by-step explanation:
Let
x = number of children tickets sold
y = number of adult tickets sold
x + y = 600 (1)
8x + 15y = 5,500 (2)
From (2)
x = 600 - y
Substitute x = 600 - y into (2)
8x + 15y = 5,500 (2)
8(600 - y) + 15y = 5,500
4,800 - 8y + 15y = 5,500
- 8y + 15y = 5,500 - 4,800
7y = 700
y = 700/7
y = 100
Substitute y = 100 into (1)
x + y = 600 (1)
x + 100 = 600
x = 600 - 100
x = 500
x = number of children tickets sold = 500
y = number of adult tickets sold = 100
Amy is analyzing a job offer. Amy's salary analysis, the annual salary is 48,500, the benefits are 401K matched up to 2,500/year in bonuses, the average monthly rent, 1,100 and average monthly Utility costs are 200. how much income with benefits can she expect? choose below, 43,500 48,500 56,000
Answer:
d
Step-by-step explanation:
d
Put the differential equation 9ty+ety′=yt2+81 into the form y′+p(t)y=g(t) and find p(t) and g(t). p(t)= help (formulas) g(t)= help (formulas) Is the differential equation 9ty+ety′=yt2+81 linear and homogeneous, linear and nonhomogeneous, or nonlinear?
Answer:
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous
Step-by-step explanation:
Given that,
The differential equation is -
[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]
[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]
By comparing with y′+p(t)y=g(t), we get
[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]
g(t) = 0
And
The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is linear and homogeneous.
HI could some please help me out , I will give BRAINLEST
Answer:
[tex]y=-1/3x+2[/tex]--------------------------
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{2-1}{0-3}[/tex]
[tex]=1/-3[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-1=-1/3(x-3)[/tex]
[tex]y-1=-1/3x+1[/tex]
[tex]y=-1/3x+2[/tex]
--------------------
hope it helps...
have a great day!!
ALGEBRA II HELP :/
Please show work the answer will be a 2 digit number
20 POINTS
BRAINLIEST
Use synthetic division and the Remainder Theorem to find P(a)
(like f(x) i think)
x^3+4x^2-8x-6
a= -2
Answer:
18
Step-by-step explanation:
f(x) = x³+4x²-8x-6
P(a) <=> P(x)
-2 | 1 4 -8 -6
|
| -2 -4 24
----------------------------
1 2 -12 18
what is 3 5/15+2 2/5
PLS HELP!!
Answer:
5.73
Step-by-step explanation:
I hope that's help u
Answer:
5 11/15
Step-by-step explanation:
Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.
After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.
Answer:
the first truck
Step-by-step explanation:
the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000
the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.
so,
I think, this is a very significant number of truck cost compared with gas cost
for the best deal, the first truck is the best choice.
Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard deviation is 32.
1,873
Step-by-step explanation:
If m = 80° and m = 30°, then m 1 =
Answer:
70
Step-by-step explanation:
180-80-30=70
Simplify : (3-3y+y)
ANSWER ?
help me out a little
plzzzzzzzzzzzzz helpppppppppppppp
Answer:
Question 25:[tex]6[/tex]
Question 19:[tex]16[/tex]
Step-by-step explanation:
Question 25:[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]
[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]
[tex]y = 3( 2 - \frac{x}{12} )[/tex]
[tex]y = 6 - \frac{x}{4} [/tex]
[tex]y = - \frac{x}{4} + 6[/tex]
Question 19:[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 18[/tex]
To find the c value ,
[tex]c = ( \frac{b}{2} {)}^{2} [/tex]
divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=
Answer:
Step-by-step explanation:
Given,
Vertex (h, k ) = (1,0)
Now,
We know,
f(x) = a(x-h)²+k
Since, it passess through (2, −17)
Put x = 2 and y = - 17
or, -17 = a(2 - 1)² + 0
or, -17 = a
Now,
f(x) = a(x - h)² + k
= -17(x - 1)² + 0
= -17x² + 34x - 17
HELPP!!! PLEASEEEEEEEEE
Answer:
No
Step-by-step explanation:
(0, 0) Is not a answer because ithe point does not fall within the shaded area
what is the measure of this angle? god bless help pls
Answer:
The angle SQR is half the intercepted arc SR which is 43°
A bakery sells ten different types of bread. The amount of cups of sugar in each bread
recipe is shown.
1
2
1
4
4
3
4
ili i
13
1
2
1
2
What is the mean amount of sugar in these recipes?
Answer:
3/4 cups
Step-by-step explanation:
Adding the fractions
1/4 + 1/2 + 1/4 + 3/4 + 1 + 1 1/2 + 1/2 + 1 3/4 + 1/2 + 1/2
And the the L.C.M to be 4
=30/4
=15/2
Mean = 15/2 ÷ 10
=15/2 × 1/10
3/4
Kathy has a circular hot tub in her backyard with a radius of 5.5 feet. She wants to place a decorative border around the circumference of the hot tub. If the border costs $6.70 per foot, how much will the border for the hot tub cost?
so i have 136 sq units in surface area of a rectangle how do i get 136
plz helps as so you can
Answer:
well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can
Step-by-step explanation:
PLEASE HELP SOLVE FOR PT. A AND B
Answer:
a=1; b=14
Step-by-step explanation:
you have to form a perfect square
(a+b)²=a²+b²+2ab
If you add a one you will get a perfect square
x²+2x+1 = (x+1)²
if you added a one in one side you have to added to the other side too
(x+1)² = 13+1
(x+1)² = 14
Answer:
a = 1, b = 14
Step-by-step explanation:
To complete the square
add ( half the coefficient of the x- term)² to both sides , that is
x² + 2(1)x + 1 = 13 + 1
(x + 1)² = 14
with a = 1 and b = 14
P L E A S E A N S W E R A S A P
P L E A S E E E E E E
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
like the guy above me said
Volume = 4,410 yd
30 yd
radius =
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> [tex]\sqrt{140.37}[/tex] = r
=> 11.85 = r
Therefore, the radius of the cone = 11.85yd
Hope this helps!
6. Find the sum of the geometric series.
a1=-9 a5=-729 r=-3
Answer:
Sn = -9(1-(-3)^n)/4
Step-by-step explanation:
Since r < 1, the sum of nth term of a geometric sequence is expressed as;
Sn = a(1-r^n)/1-r
a is the first term
n is the number f terms
r is the common ratio
An = -9(1-(-3)^n)/1-(-3)
Sn = -9(1-(-3)^n)/4
Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4
Given CSC A= sqrt(85)/6 and that angle A is in Quadrant I, find the exact value of cot A
in simplest radical form using a rational denominator.
The exact value of cot A will be 0.857.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The co-secant of angle A is √85 / 6. And that angle A is in Quadrant I.
Then the value of angle A will be
csc A = √85 / 6
1 / cos A = √85 / 6
cos A = 6 / √85
A = 49.4°
Then the exact value of cot A will be
cot A = cot 49.4°
cot A = 0.857
The exact value of cot A will be 0.857.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
HELP IM IN A MIDDLE OF A TEST!! A locker combination has four nonzero digits. If no digit can be repeated and the first three digits are 1-2-3, what is the probability that the fourth digit is 4?
A.) 1/6
B.) 1/7
C.) 1/8
D.) 1/9
NO LINKS PLEASE
Answer:A
Step-by-step explanation:
got right in quiz
help me please. i will give points to whoever helps me
Answer:
7x+3=8x+1[corresponding angle are equal]
3-1=8x-7x
x=2 is a required answer.
Answer:
[tex]7x + 3 = 8x + 1[/tex]
[tex]x = 2[/tex]
Find the value of each variable in the parallelogram.
m + 1
n
12.
Answer:
n= 12 m=5
Step-by-step explanation:
Because it is a parallelogram, the parallel sides are equal in length. So n = side length 12. n = 12
For the other one, m + 1 = 6
Be careful to solve for m, not m+1.
m=6-1
m=5
Find the y-coordinate of the y-intercept of the polynomial function defined
below.
f(x) = 9x^2 – 7 – 8x
I REALLY NEED HELP!
Solve the equation:
X=-1
no problem, lllllllllllollllllllll
What is the area of a parallelogram with a height of 6 feet and a base of 10.5 feet?
33 ft 2
60.5 ft 2
65 ft 2
63 ft 2
Answer:
[tex]area = base \times height \\ = 10.5 \times 6 \\ = 63 \: {ft}^{2} [/tex]
Jacob bought some supplies for his lemonade stand. He purchased lemons for $4.85, sugar for $3.16, containers for $18. Taxes were included in all the prices. How much money did Jacob spend on all his purchases?
Answer:
26.01
Step-by-step explanation:
PLS HELP THIS IS MY FINAL
Answer: C. 25.6
Step-by-step explanation: