Answer:
The system of equations is:
x + y = 250 (1)
7.25x + 5.50y = 1602.50 (2)
with x = Adult tickets
y= student tickets
Solution
Let's equation (1)
x+y=250
x=250-y (a)
subtitute x in aquation (2)
7.25(250 - y) + 5.50y=1602.50
1812.50 - 7.25y + 5.50y= 1602.50
1812.50 -1.75y = 1602.50
-1.75y = 1602.50 - 1812.50
-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign
y= 210/1.75
y= 120
Substitute y in equation (1)
x + 120 = 250
x= 250 - 120
x =130
Let's check our results in equation (1)
x + y =250
120 + 130= 250 ↔ 250 = 250
At the end of the evening they 120 students tickets and 130 adults tickets
Step-by-step explanation:
You can check the results in any of the equations
Solve for the measure of angle F. Helppppppppppp
Which of the following is true for a quadratic function with an imaginary root?
Work out the area of a rectangle with base,
b= 7.3mm and height,
h= 5mm
Answer:
36.5 mm²
Step-by-step explanation:
7.3 * 5 = 35 + 1.5 = 36.5 mm²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
(x, y) ----> (x + 2, y - 3) please help this is my final
slide right 2 and down 3
OPTION B is the correct answer.
square root of 64 by division method
hope you understand.....
what will be the index of 2 for its value equal to 1/2
Answer:
the index of 2 is -1
Step-by-step explanation:
[tex]2^{-1}[/tex]
=[tex]\frac{1}{2^1}[/tex]
=[tex]\frac{1}{2}[/tex]
Find the surface area of a cube shaped jewelry gift box with a side length of 7 meters use 6s 2 to help
A.147 square centimeters
B.441 square centimeters
C.686 square centimeters
D.294 square centimeters
Answer:
Option D is correct.
Step-by-step explanation:
Given, the side of a cube is 7 cm.
Total surface area of cube side = [tex]6 {s}^{2} [/tex]
[tex] = 6 \times 7 \times 7[/tex]
[tex] = 294[/tex]
∴ the total surface area of cube is [tex]294 {cm}^{2} [/tex]
Hope it is helpful....How many cubic centimeters are in a rectangular prism with a length of 3, a width of 3 and a height of 4
Answer:
I think it would be 36, if you use Area=Length×Width×Height
There is no solution to the following system of equations.
x < 3
y > 3
True
False
Answer:
True
Step-by-step explanation:
We are given that system of equation
x<3
y>3
We have to find that there is no solution of system of equation is true or not.
First we change inequality equation into equality equation
x=3
y=3
When x=0
0<3
It is true equation therefore, the shaded region towards the origin.
When y=0
0>3
It is false equation. Therefore, the shaded region above the origin.
From the graph
There is no solution of system of equation.
Hence, option true is correct.
The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
attachment below or above
Answer:
840
Step-by-step explanation:
600×140% =840 hope this helps
The sum of 69 and 42 is five more than the difference of 146 and a number. Calculate the value of the unknown number.
x
V 10 km
V 15 km
A) V5 km
C) 5 km
B) V7 km
D) 2V5 km
Can someone help
Me please
Answer: -6. 4. -3,75. 37.
Step-by-step explanation: -20|+10-2²= -6, since a minus×minus give you a + therefore -2²=4.
2³+(-8)= 12-8=4, a minus×plus gives you a minus.
-2,50+(-1,25)=-2,50-1,25=-3,75. |-10|+|20|-5²-(-2)=-10+20+25+2=37.
A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of
the wall
Answer:
2 m
Step-by-step explanation:
The model of the situation is a right triangle with legs 1.5 and h the height of the wall. The hypotenuse is the ladder.
Using Pythagoras' identity
h² + 1.5² = 2,5²
h² + 2.25 = 6.25 ( subtract 2.25 from both sides )
h² = 4 ( take the square root of both sides )
h = [tex]\sqrt{4}[/tex] = 2
The height of the wall is 2 m
The height of the wall od the building is, 2 m.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall.
So, Hypotenuse is 2.5 m and Adjacent is 1.5 m.
We know, H² = O² + A².
O² = H² - A².
O² = 6.25 - 2.25.
O² = 4.
O = 2.
Another concept regarding triangles is,
Suppose we have a triangle ABC, with sides a, b and c.
An acute angle triangle is one where a² + b² > c².
It is a right-angle triangle if a² + b² = c2.
It is an obtuse angle triangle if a² + b² < c².
learn more about Pythagoras' theorem here :
https://brainly.com/question/343682
#SPJ6
Fruntum A bucket is 20cm in diameter at the open end,12cm in diameter at the bottom,and 16cm deep. To what depth would the bucket fill a cylindrical tin 28cm in diameter?
Answer:
The depth is 5.33cm
Step-by-step explanation:
Given
[tex]D =20cm[/tex] --- diameter at open end
[tex]d = 12cm[/tex] --- diameter at bottom
[tex]H=16cm[/tex] -- depth
[tex]d_c = 28cm[/tex] --- diameter of the cylinder
Required
The depth the bucket will fill the cylinder
First, calculate the radii at the ends of the bucket
[tex]R=D/2 =20cm/2 = 10cm[/tex]
[tex]r=d/2 =12cm/2 = 6cm[/tex]
The volume of the bucket (frustum) is:
[tex]V = \frac{1}{3} \pi H(R^2 + Rr + r^2)[/tex]
[tex]V = \frac{1}{3} *\pi * 16 * (10^2 + 10*6 + 6^2)[/tex]
[tex]V = \frac{1}{3} *\pi * 16 * 196[/tex]
[tex]V = 1045.33\pi cm^3[/tex]
The volume of a cylinder is:
[tex]V = \pi r_c^2h_c[/tex]
Where:
[tex]r_c = d_c/2 = 28cm/2 =14cm[/tex]
So, we have:
[tex]1045.33\pi = \pi * 14^2 * h_c[/tex]
[tex]1045.33\pi = \pi * 196 * h_c[/tex]
[tex]1045.33\pi = 196\pi * h_c[/tex]
Make h the subject
[tex]h_c = \frac{1045.33\pi}{ 196\pi}[/tex]
[tex]h_c = \frac{1045.33}{ 196}[/tex]
[tex]h_c = 5.33[/tex]
Given that tanθ almost equal to≈ 2.773 where 0<θ<π2, find the values of sinθ and cosθ. Show work.
Step-by-step explanation:
the given data is
tanθ = 2.773 and 0<θ<π/2
this implies θ = tan inverse(2.773)
⇒ θ = 70.16°
Therefore, sinθ = sin70.16° = 0.9406
similarly,cosθ = cos70.16° = 0.3393
therefore, values of sinθ and cosθ are 0.9406 and 0.3393 respectively.
Find |23| absolute value
Answer:
23
Step-by-step explanation:
The absolute value of any number is just the positive version of that number. For example the absolute value of -12 is 12.
Hope this helps! :)
Sum1 plz help with this
Answer:
x = 8.7
Step-by-step explanation:
Use the formula
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +11^{2} =14^{2} \\\\x = 8.660[/tex]
HURRRYYYY I NEED AN ANSWER
Which box plot represents the data set 2, 4, 6, 8, 10, 12?
0
2
4
6
oo
10
12
0
2
4
6
8
10
12
0
2
4
6
8
10
12
Answer:
A
Step-by-step explanation:
The data set is;
2,4,6,8,10,12
For a box plot, we need five information regarding a data set;
These are;
1. The minimum value
The minimum value here is 2, so the box plot starts from here
2. The lower quartile
This is the term according to the formula;
(n + 1)/4
Where n is the number of data points which is 6
So we have;
(6 + 1)/4 = 7/4 = 1.75
Approximately this is the second term which is 4
3. The median
This is the middle number
We only need to add the third and fourth term, then divide by 2
we have this as; (6 + 8)/2 = 14/2 = 7
4. The upper quartile
It is the term according to the formula;
3(n+ 1)/4 = 3 * 1.75 = 5th term approximately
So we have it as 10
5. The maximum value
The max value here is 12
So the points on the box plot are;
2,4,7,10 and 12
So the correct plot is the first one
Taylor will need cup of raisins
Answer:
yes get those raisins taylor
Step-by-step explanation:
woo! go taylor
Please answer this fasttt
Sally opened a bank account with $562.55. After receiving her first pay
check, she deposited another $121.35 into her bank account.
How much
money does Sally now have in her bank account?
$683.90
$682.90 $441.20
$442.20
Answer:
683.90
Step-by-step explanation:
562.55
+121.35
683.90
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height
Answer:
40cm
Step-by-step explanation:
Given data
Length= 15cm
Width=30cm
Volume= 18liters
1000cm^3= 18liters
18000cm^3= 18liters
We know that volume
Volume= L*W*h
18000= 15*30*h
18000=450h
h= 18000/450
h= 40cm
Hence the height is 40cm
CAN SOMEONE GIVE ME THE REAL ASNWER TO THIS IM IN A RUSH
Answer:
145 degrees
Explanation:
A straight line is 180 degrees so minus 180 by 35 to get 145 degrees.
Answer:
The measure of the unknown angle (n) is 145
Step-by-step explanation:
A straight line or angle is 180 degrees so if we subtract the 35 degrees from that we get 145 degrees.
I tried to explain the simplest I could so I hope you understand it.
Hope I helped!!!
PLEASE PLEASE HELP ME
Answer:
Step-by-step explanation:
I actually don't know tttttttttttþyyyyyyyyyttyyytrreeeee
A is a set of factors of 12. Which one of the following is not member of A? *
A. 3
B. 4
C. 5
D. 6
Answer:
5
Step-by-step explanation:
3*4=12
4*3=12
6*2=12
but 12 is not factor of 5
36m÷9m I need this in standard form .
Answer:
4
Step-by-step explanation:
36/9
= 4
Calcula el volumen. Largo: 50cm Largo: 35cm Largo: 40cm Ancho: 30cm Ancho: 20cm Ancho: 60cm Alto: 20cm Alto: 50cm Alto: 30cm Volumen: ___________ Volumen:______ Volumen:_______
Answer:
Volumen A = 30000 cm³
Volumen B = 35000 cm³
Volumen C = 72000 cm³
Step-by-step explanation:
a) Volumen A
Largo = 50 cm, Ancho = 30 cm Alto = 20 cm
Volumen = Largo × Ancho × Alto
= 50 cm × 30 cm × 20 cm
= 30000 cm³
b) Volumen B
Largo = 35 cm, Ancho = 20 cm Alto = 50 cm
Volumen = Largo × Ancho × Alto
= 35 cm × 20 cm × 50 cm
= 35000 cm³
c) Volumen C
Largo = 40 cm, Ancho = 60 cm Alto = 30 cm
Volumen = Largo × Ancho × Alto
= 40 cm × 60 cm × 30 cm
= 72000 cm³