Answer:
1 is multiplies itself by 3 each time and 3 multiplies itself by y each time
Step-by-step explanation:
1-
a-2x3=6
b-6x3=18
and so on
2-
a-5x4=20
b-20x4=80
and so on
8-b; when a= 3 and b=5
PLEASE DON'T SKIP MY QUESTION!!!! SUPER IMPORTANT I AM SO LOST AND CONFUSED At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. Let x be the cost of an adult ticket and let y be the cost of a child ticket. Write and solve a system of equations to find the ticket price for one adult and for one child.
The answer is $10 per adult ticket, and $7 per child ticket. Now lets figure out how to get to that answer. Let's create a chart to help visualize this.
- - - - -A- - - - - C- - - - -T- - - - -
: 2 : 4 : $48 :
: 5 : 2 : $64 : Key:
: : : : A = Adult ( The Y)
: : : : C = Child ( The X)
: : : : T= Total
When we look at it, the total cost is less then what the adult would be when multiplied by 10, and you WOULD have to add the children cost to the adult cost, so lets try it.
Lets do the 2 adult tickets first, 2 x 10 is 20. Now we do 48 - 20 to get how much the cost of the children's 4 needs to equal. We get 28 as the answer. Now we have to do 28 divided by 4, we get 7 as that answer.
Now lets plug that in to the $64 problem and see if that gets us the correct answer.
So the amount of adult tickets for this problem is 5, so we do 5 x 1 which is 50.
Now the amount of children tickets is 2, so lets do 2 x 7, which equals 14.
Now to test if it gets us the correct answer, to do that we do 50 + 14, that equals what we want it to, 64.
Therefor, the correct answer is $10 per adult ticket, and $7 per child ticket.
Hope this helps!
4 – 5[-32 – (4 : 23 – 80 + V16)
Simplify
Can someone explain this to me?
Answer:
Step-by-step explanation:
a). By applying tangent rule in the triangle,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}[/tex]
θ = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]
θ = 36.87°
Therefore, θ < 45°
b). By using cosine rule in this triangle,
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}[/tex]
cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]
θ = 45°
c). By using tangent rule,
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}[/tex]
θ = [tex]\text{tan}^{-1}(4)[/tex]
θ = 75.96°
θ > 45°
PLSS HELPPPP
Reggie recorded how longRandomly selected her to walk 1 mile. He recorded the data in the dot plot below. If 126 students were selected, how many students would Reggie predict would take more than 18 minutes to walk 1 mile.
Answer:
48
Step-by-step explanation:
If there were 126 students total, and 21 dots. That means that there are 6 students per dot. And since there are 8 dots in the 18 minute mark, that means that there were 48 predicted students.
Help please. I already got most of the problem done.
cant see the pic
Step-by-step explanation:
Answer:
[tex]y\leq \frac{x}{2}-2[/tex]
Step-by-step explanation:
When dividing/multiplying you flip the inequality sign, and the negative on the x and 2 cancel.
Simplify the expression using the order of operations show all your work 150- (4²+4) ÷ 2
Answer:
Step-by-step explanation:
150-20/2
Use Cramer's rule to find the solution to the following system of linear equations.
x-2y = -7
5x-9y=-5
Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
[tex]\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right][/tex]
The determinant
[tex]= \left|\begin{array}{ccc}1&-2\\5&-9\\\end{array}\right| = -9+10 =1[/tex]
By using Cramer's Rule
Δ₁ = [tex]\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right][/tex]
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
x - 2y = -7
5x - 9y = -5
[tex]D=\left|\, 1\quad-2\atop5\quad-9\right|=1\cdot(-9)-(-2)\cdot5=-9+10=1\\\\\\x=\dfrac{\left|-7\quad-2\atop-5\quad-9\right|}1=-7(-9)-(-2)(-5)=63-10=53\\\\\\y=\dfrac{\left|\, 1\quad-7\atop5\quad-5\right|}1=1\cdot(-5)-(-7)\cdot5=-5+35=30[/tex]
need help with vertical angles
Answer:
ok what is thepromblem
Step-by-step explanation:
Answer:
whats up? whats tha questionn :)
Step-by-step explanation:
. Find four consecutive odd integers such that the sum of the first and fourth is 55 greater than the opposite of the third.
Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
Okay so I have finals in a week on the picture above ^
How can I pass? (Asking for advice)
Juan buys a bag of 12 tangerines for $3.48.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Answer:
0.29
Step-by-step explanation:
12 divide by $3.48 is 0.29
Is this true or false? The following graph represents a proportional relationship:
True
False
Step-by-step explanation:
true I think I hope this helps !!!
Write the slope-intercept form of the equation of the line described.
Answer:
Please check the explanation.
Step-by-step explanation:
6)
Given the line
[tex]y=-\frac{1}{3}x+3[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
Thus, the slope of line = -1/3
We know that parallel lines have the same slope.
Hence, the slope of the parallel line is also m=-1/3
So, substituting m = -1/3 and (3, 1) in the slope-intercept form to find the y-intercept
[tex]y=mx+b[/tex]
[tex]1=\frac{-1}{3}\left(3\right)+b[/tex]
Switch sides
[tex]\frac{-1}{3}\left(3\right)+b=1[/tex]
[tex]-1+b=1[/tex]
[tex]b=2[/tex]
Thus, the equation line in slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=-\frac{1}{3}x+2[/tex]
8)
Given the line
[tex]y=\frac{1}{4}x+1[/tex]
We know that the slope-intercept form of the line equation is
[tex]y=mx+b[/tex]
where m is the line and b is the y-intercept
so the slope of line = 1/4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: -4
Thus, subtituting m = -4 and (-1, 4) in the point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4=-4\left(x-\left(-1\right)\right)[/tex]
writing the point-slope form in the slope-intercept form
[tex]y-4=-4\left(x+1\right)[/tex]
add 4 to both sides
[tex]y-4+4=-4\left(x+1\right)+4[/tex]
[tex]y=-4x[/tex]
I WILL GIVE YOU BRAINLY PLSSS
The longest suspension bridge in the world is the Akashi Kaikyo Bridge in Japan. Its main
span is 1,290 feet longer than a mile. A mile is 5,280 feet.
Calculate the length of the Akashi Kaikyo Bridge.
A. 3,990 feet
B. 6,400 feet
C. 4,049 feet
D. 6,570 feet
PLSSS SHOW YOUR WORK PLSSS
At Mukilteo Elementary school The two fastest runners in the 100 yard dash had race times of 12.19 seconds and 12.38 seconds how much faster was the first runner from the second runner
A video games originial price was 55$ it is 30% off. What is the new price?
Answer: $38.50
Step-by-step explanation: Find 70% of $55.
Answer:
38.5
Step-by-step explanation:
SO U FIND 10% WHICH IS =5.5
THEN U TIMES IS BY 3 AND ITS =16.5
THEN YOU MINUS 55 BY 16.5
AND THAT IS =38.5
What value for x will make the equation − 3 x + 1 = 2 ( 4 x − 5 ) true?
Answer:
x=1
Step-by-step explanation:
_3× +1=2(4×_5)
_3×+1=8×_10
-3×_8×=_10-1
11×=_11
=1
Does this graph represent a function??
NEED ASAP PLEASEEE
The sum of 2 times a number and 8 equals 3.
13. What is the algebraic notation of a figure is Translated 9
units right and 3 units down?
complete the table for
f(x) =x^2-2
Answer:
2,-1,-2,-1
Step-by-step explanation:
You just replace x with the given numbers
How will the graph of line y = -5x + 7 be affected if the 7 is changed to –7?
A. The line will be reflected over the x-axis.
B. The line will be reflected over the y-axis.
C. The line will be rotated 90° about the origin.
D. The y-intercept will be moved 7 units downward.
E. The y-intercept will be moved 14 units downward.
Answer:a
Step-by-step explanation:
Answer is D
the reason it's because you only changed the Y intercept number to a negative so it will shift down the graph 14 units because if you have no adding number then your graph will start at 0 but it's -7 so it starts at -7 so now shift 14 places down
what did he do wrong
Answer:
nothing
Step-by-step explanation:
there was no mistake at all he did it all correct he subtract 11 from both sides the divided by 2 correctly.
Write the equation of the line passing through the point (2,-1) with a slope of -3
I need the ordered pair plz
Answer:
[tex](\frac{-1}{2},-1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-6, 5)
Point (5, -7)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{-6+5}{2},\frac{5-7}{2})[/tex]Add/Subtract: [tex](\frac{-1}{2},\frac{-2}{2})[/tex]Divide: [tex](\frac{-1}{2},-1)[/tex]what is the range of this function?
Step-by-step explanation:
The absolute maximum of the function is y = 4, at (3, 4).
Both ends of the function point downward, which stretches to negative infinity.
Hence the range is -infinity < y <= 4. (D)
Sharon wants to buy a shirt that costs $70. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answer:
sales tax is $3.50.
She would have to pay $73.50
Step-by-step explanation:
5% of 70 is 3.5 (sales tax)
70+3.5= 73.5
which graph represents the solution set of 2x-5<3
Answer:
(See the attachment)
Step-by-step explanation:
None
please help
Solve the system of equations.
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
please explain how you got your answer if you can please
Answer:
(9,3)
Step-by-step explanation:
You can just substitute the answer choices in to the equation and see what option works for both equations.