Answer:
answer is J because if we lay out the information we will understand it
The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Similarly, we get:
Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)
Thus, we got a system of equations in x and y as:
[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)
Learn more about forming equations here:
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What is the answer please help no links I will report
Answer: I AM GOING TO SAY THE ANSWER IS 25%
Step-by-step explanation:
Answer choices
25%
35%
50%
No links no links I will report
Answer:
50%
Step-by-step explanation:
As you know 8 & 8
= 16
and there's 16 dots in all.
So 8% Of 16%
Would lead to 50%
P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!
What is the probability of the following
1. P (0< z < 1.46)?
Answer:
Approximately [tex]0.428[/tex].
Step-by-step explanation:
(This approach requires looking up values on a [tex]z[/tex]-table. Calculators aren't required.)
A typical [tex]z[/tex]-table lists probabilities in the form [tex]P(Z \le z)[/tex] (or equivalently, [tex]P(Z < z)[/tex],) where [tex]z\![/tex] is real number (typically greater than or equal to [tex]0[/tex].)
However, the question asks for a probability in the form [tex]P(a < Z < b)[/tex]. It would be necessary to rewrite this probability for this [tex]\!z[/tex]-table approach to work.
Let [tex]a[/tex] and [tex]b[/tex] denote two real numbers, with [tex]b > a[/tex]. [tex]P(a < Z < b)[/tex] would be equal to [tex]P(Z < b) - P(Z < a)[/tex]. In this question:
[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \end{aligned}[/tex].
Look up the value of [tex]P(Z < 1.46)[/tex] on a [tex]z[/tex]-table: [tex]P(Z < 1.46) \approx 0.927855[/tex].
On the other hand, [tex]P(Z < 0) = 0.5[/tex] because the Gaussian distribution is symmetric.
Therefore:
[tex]\begin{aligned} & P(0 < Z < 1.46) \\ & = P(Z < 1.46) - P(Z < 0) \\ &\approx 0.927855 - 0.5 \\ &\approx 0.428\end{aligned}[/tex].
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
5,10,20
9514 1404 393
Answer:
r = 2
Step-by-step explanation:
The first differences between successive terms are ...
10 -5 = 5
20 -10 = 10
The differences are not constant, so the sequence is NOT arithmetic.
__
The ratios of successive terms are ...
10/5 = 2
20/10 = 2
The ratios are constant, so the sequence is ...
geometric with a common ratio of 2.
Describe the y-intercept and end behavior of the following graph
Answer:
B
Step-by-step explanation:
If f(x)= x squared and g(x)=2x^3- x squared, find f(x)-g(x).
Answer:
[tex]f(x)-g(x)=2x^2(1-x)[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=x^2\\\\g(x)=2x^3-x^2[/tex]
We need to find the value of f(x)-g(x).
Put the values of f(x) and g(x). So,
[tex]f(x)-g(x)=x^2-(2x^3-x^2)\\\\=x^2-2x^3+x^2\\\\=2x^2-2x^3\\\\=2x^2(1-x)[/tex]
So, the value of f(x)-g(x) is equal to [tex]2x^2(1-x)[/tex].
quiz 8-2 trigonometry unit 8
Answer:
The results are presented below.
Question 1 - sin L = [tex]\frac{3}{5}[/tex]
Question 2 - tan N= [tex]\frac{4}{3}[/tex]
Question 3 - cos L = [tex]\frac{4}{5}[/tex]
Question 4 - sin N= [tex]\frac{4}{5}[/tex]
Question 5 - x=8.5
Question 6 - x=27.2
Step-by-step explanation:
For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.
Question 1This question asks the sin L. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]
Question 2This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:
[tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]
The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.
[tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]
There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.
[tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]
Question 3This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:
[tex]cos L=\frac{adjacent}{hypotenuse}[/tex]
The adjacent side (ML) you found in the question 2. ML=8, therefore:
[tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]
Question 4This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]
Question 5You can find x from the trigonometric ratio of cos :
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]
From calculator, you have cos 32° = 0.8480. Then,
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]
Question 6You can find x from the trigonometric ratio of sin:
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]
From calculator, you have sin 54° = 0.8090. Then,
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]
Learn more about trigonometric ratio here:
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Answer:
Step-by-step explanation:
What is the inverse of the function f(x) = 2x
10?
Makayla is planning an event in a 5,400-square-foot room. If there should be at least 8 square feet
per person, what is the maximum number of people that could attend this event?
Answer:675
Step-by-step explanation:
Which graph represents y as a function of x?
Answer:
b
Step-by-step explanation:
solve each system by eliminating one of the variables by addition or
subtraction.
Answer:
1) x- y = 8
x + y = 12
eliminate one variable by adding the equations
2x = 20
divided by 2 on both sides
x = 10
substitute the value of x in the equation 1
10 - y = 8
-y = 8- 10
y =2
[x , y]
[10 , 2]
2) 2x - y = 4
3x + y = 6
eliminate one variable by adding the equations
5x = 10
x = 2
substitute the value of x in the equation
2(2) - y = 4
4 - y = 4
y = 0
[x ; y]
[2; 0]
3) x + 2y = 10
x + 4y = 14
multiply equation 1 by - 1
-x -2y = -10
x + 4y = 14
eliminate one variable by adding the equations
2 y = 4
y = 2
substitute the value of y in the equation 1
x + 2(2) = 10
x + 4 = 10
x = 6
[x ; y]
[6 ; 2]
4 ) 3x + y = 9
y = 3x + 6
simplify the expression
3x + y = 9
- 3x + y = 6
eliminate one variable by adding the equations
2y = 15
y = 15/2
substitute the value of y in equation 1
3x + 15/ 2 = 9
3x = 3/2
x = 1/2
[x ; y]
[1/2 ; 15/ 2]
5) 4x + 5y = 15
6x - 5y = 18
eliminate one variable by adding the equations
10 x = 33
× = 33/10
substitute the value of x in equation I
4 (33/10) + 5y = 15
66/5 + 5y =15
5y = 9/5
y = 9/25
[x ; y]
[33/10 ; 9/25]
6) 5x = 7y
x + 7y = 21
in equation I move the variable to the left
5x - 7y = 0
x + 7 y = 21
eliminate one variable by adding the equations
6x = 21
x = 7/2
substitute the value of x in the equation
5(7/2) = 7y
35/2 = 7y
5/2 = y
[x ; y ]
[7/2 ; 5/2 ]
1
13. Mark has a board that is 12 feet long. He
cuts the board into 8 pieces that are the
same length. How long is each piece?
pany. Image Credits: (b) Cjupit
Answer:
1.5 feet
Step-by-step explanation:
12/8 = 1.5 feet
Write a verbal sentence for x -18 = 24
Example: I had money but won $116 and ended up with a total of $505.
Answer:
I had a great quantity of apples and used 18 to make a large apple pie for my family and I, then I only had 24 left over.
Step-by-step explanation:
X in the equation represents the amount of apples I have at the beginning of the apple pie making process. Minus 18 represents the apples that are being used for the apple pie, so they are not there anymore. 24 represents the apples left over.
PLS SHOW YOUR REASONING ASAP
Answer:
(assuming you are knowledge about Pythagoras theorem)
44.205
Step-by-step explanation:
draw the altitude line to the upper right corner and the lower left corner and you have 2 identical right triangles and a rectangle. If you solve the third side of the right triangles you get 1.685 (sqrt[7.2^2 - 7^2]).
now add up the areas of both triangles and the rectangle in the center whose base is 4.63 (subtract the 3rd side from 8)
you have
1.685(7) + 7(4.63)
what is the value of 4/15÷2/3
Answer:
2 /5
Step-by-step explanation:
Find the volume of each figure. Round to the nearest hundredth if necessary.
Answer:
316.41 m³
Step-by-step explanation:
7.5x7.5x3.75=210.9375
3.75x3.75x7.5=105.46875
210.9375+105.4675=316.405
Can someone help me with this ? it is relative frequency tables
Answer:
Step-by-step explanation:
36/78 = 0.46153,,,, nope.. not a choice
36/123 = 0.2926.... so the last answer looks good
Last month, Maria purchased a new cell phone for $500. The store manager told her that her new cell phone would depreciate by 70% every 6 months. Maria thinks she will want to replace her phone after a while. What will be the value (V) of her phone if she tries to trade it in after 2 years? Select all that apply.
Answer:
RM 4.05
Step-by-step explanation:
6mnts=70% of 500 is 350, so 150
1 year= 70% of 150 is 105, so 45
1 n half year = 70% of 45 is 31.5, so 13.5
2 years = 70% of 13.5 is 9.45, so Rm 4.05
BETTER ASK HER TO DONATE THE PHONE.....LOL
Solve the equation:
[3 2
5 5]
[x1
x2]+
[1
2]=
[2
-3]
9514 1404 393
Answer:
(x1, x2) = (3, -4)
Step-by-step explanation:
As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.
[tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]
Performing the multiplication of the matrix by the vector gives the solution.
x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3
y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4
Using your variables, x1, x2, the solution is ...
(x1, x2) = (3, -4)
Convert 2,36hrs to hrs, minutes and seconds
The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.
Hope that helps!
How many pieces are there on the rubix cube
26 pieces
There are 26 pieces in total, and the cube has 8 corners and 6 centers.
3. What is the axis of symmetry of the graph of function f(x)=x^2 - 6x - 1
Answer:
Hi! The answer to your question is [tex]X = 3[/tex]
Step-by-step explanation:
☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
what is the median to 132, 183, 191, 237, 251, 277, 279, 334, 448, 599?
Answer:
264
Step-by-step explanation:
(251 + 277) / 2 = 264
(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3
Answer:
1)1920 in2 (2)120 in3
Step-by-step explanation:
Which point best approximates 45? A B В C D 0 1 2 3 4. 5 6 7. 8 9 Ο Α OB С OD
Answer:
b or c???
Step-by-step explanation:
The point that best approximates √45 is C.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
√45
This can be written as,
= 6.7082
Now,
6.7082 is near 7 so,
The point that best approximates √45 is C.
Thus,
The point that best approximates √45 is C.
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Which expression is equivalent to the following expression: 15 + 6x A. 3(5 +2x) B. 3(5 + 6x) C. 21x D. 15(6x)
Answer:
nt cbhhujvti'
Step-by-step explanation:
show how you solved the problem
How many solutions are there in the following system of equations? (
one solution, no solutions, infinitely many solutions)
- 8x + 2y = -16
4x - y = 10 PLEASW HELP
Answer:
No solutions
Step-by-step explanation:
-8x+2y = -16
4x-y = 10 [multiply by 2 so it is easier to add/subtract]
-8x+2y = -16
8x -2y = 20
0 = 4
0 and 4 cant be equal so theres no solution
How do I solve this? I need help
Answer:
d
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answer:
I believe the answer is 1/12
Step-by-step explanation:
the volume of a rectangular prism is length × width × height
Answer:
[tex] \frac{1}{12} \: cubic \: foot[/tex]
Step-by-step explanation:
[tex]V_{box} = lbh \\ = 1 \frac{1}{2} \times \frac{1}{6} \times \frac{1}{3} \\ \\ = \frac{ \cancel3}{2} \times \frac{1}{6} \times \frac{1}{ \cancel3} \\ \\ = \frac{1}{12} \: cubic \: foot[/tex]