Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly.
How much should each person pay
Answer:
17.75
Step-by-step explanation:
So what we know is that we have to DIVIDE the bill evenly by the amount of people sharing the bill.
> 53.25 / 3 = ?
> 5 - 3 = 2 ( one 3 goes into 5 )
> 23 - 21 = 2 ( seven 3s goes into 23 )
> 22 - 21 = 1 ( seven 3s goes into 22 )
> 15 - 15 = 0 ( five 3s goes into 15 evenly )
> 53.25 / 3 = 17.75
So this should be your result afterwards.
Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line
Answer:
see explanation
Step-by-step explanation:
(i)
[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )
2x + 3y = 6 ( subtract 2x from both sides )
3y = - 2x + 6 ( divide through by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 2
(ii)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope ( gradient ) and c the y- intercept )
y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)
with gradient m = - [tex]\frac{2}{3}[/tex]
BRAINLIEST
Solve for X. Round to the nearest tenth.
Answer:
12
Step-by-step explanation:
there is no x in the question
PLS HELP SOLVE FOR CROWN BRAINLIST !!!!!
It's the second one
-40 cuz that's the fee
Answer:
C = 21 + 40t
Step-by-step explanation:
C = initial + variable
The cost, C will be the initial price which is however much money it cost to just print t-shirts for 21 members plus the variable which is the extra 40 for each shirt.
Hope I helped!
Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
Using algebra, describe in two or more complete sentences how to determine if the function is odd.
Answer:
If you end up with the exact opposite of what you started with (that is, if f (–x) = –f (x), so all of the signs are switched), then the function is odd.
Step-by-step explanation:
If 3x + 2 > X + 8 then
Help please
Answer: x>3
Step-by-step explanation:
3x + 2 > X + 8
2x > + 8 - 2
2x > 6
x > 3
HELP *picture inserted*
The graph of a quadratic function has y-intercept 10 and one of its x-intercepts is 1
Answer:
c = 10
Step-by-step explanation:
For quadratic
y = ax^2 +bx +c
the y-intercept is c.
c = 10
_____
The y-intercept is the value of y when x=0. Using x=0 reduces the equation to ...
y = c
Let f(x)=cosx. Determine the x-value(s) where the function has a maximum or minimum value on [0,2π).
Answer:
can u say what subject is that
(0, 1) is a local maxima and (π, −1) is a local minima of the given function.
The given function is f(x)=cos(x).
What is a function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
The coordinates to plot the graph are (0, 1), (π/2, 0), (π, -1),....
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (π/2 +πn,0), for any integer n
y-intercept(s): (0,1)
Use the derivative to find the maximum and minimum.
(0, 1) is a local maxima and (π, −1) is a local minima
Therefore, (0, 1) is a local maxima and (π, −1) is a local minima of the given function.
To learn more about the function visit:
https://brainly.com/question/9554035.
#SPJ2
Now expand the the expression
Answer:
5x + 4
Step-by-step explanation:
1/2 (10z + 8)
= 1/2 x 10z + 1/2 x 8
= 5z + 4
Hope this helps!!
Question
The value of a computer y, depreciates, or decreases as time passes. A computer was purchased for $3200 in 2018. In
2020 the computer was worth $2000. Assume the relationship between number of years after 2018 x, and value of
computer, y is linear.
The value of the computer decreases by $800 per year.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Let y represent the cost of the computer and x represent the years after 2018.
A computer was purchased for $3200 in 2018. It is represented by the point (0, 3200). Also, in 2020 the computer was worth $2000, it is represented by the point (2, 2000). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3200=\frac{2000-3200}{2-0}(x-0)\\\\y-3200=-800x\\\\y=-800x+3200[/tex]
Therefore the value of the computer decreases by $800 per year.
Find out more at: https://brainly.com/question/13911928
A linear relationship will always decrease or increase at a constant and uniform rate.
The linear equation is [tex]\mathbf{y = -600x +3200}[/tex]The estimated value in 2022 is $800The estimated value in 2024 is -$400, and it does not make sensePart 1
(a) The linear equation
In 2018, the value is $3200
In 2020, the value is $2000
Let the number of years since 2018 be x, and the value be y
So, we have the following representation
[tex]\mathbf{(x,y) = (0,3200) (2,2000)}[/tex]
Start by calculating the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{2000 - 3200}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{- 1200}{2}}[/tex]
Divide
[tex]\mathbf{m = - 600}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x -x_1) +y_1}[/tex]
So, we have:
[tex]\mathbf{y = -600(x -0) +3200}[/tex]
[tex]\mathbf{y = -600x +3200}[/tex]
Hence, the linear equation is [tex]\mathbf{y = -600x +3200}[/tex]
(b) The estimated value in 2022
In 2022, x = 4
So, we substitute 4 for x in the linear equation
[tex]\mathbf{y = -600x +3200}[/tex]
[tex]\mathbf{y = -600 \times 4 +3200}[/tex]
[tex]\mathbf{y = 800}[/tex]
Hence, the value in 2022 is $800
Part 2
The estimated value in 2024
In 2024, x = 6
So, we substitute 6 for x in the linear equation
[tex]\mathbf{y = -600x +3200}[/tex]
[tex]\mathbf{y = -600 \times 6 +3200}[/tex]
[tex]\mathbf{y = -400}[/tex]
Hence, the value in 2024 is -$400
This value does not make sense, because the value cannot be negative
Read more about linear equations at:
https://brainly.com/question/14323743
Urgent! At a baseball game, a vender sold a combined total of 241 sodas and hot dogs. The number of sodas sold was 55 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answer:
Sodas = 148
Hot dogs = 93
Step-by-step explanation:
Let S and H stand for the number of Sodas and Hot dogs, respectively.
We are told that:
H + S = 241
We are also told that:
S = H + 55
Use the second expression for S (H+55) in the first equation:
H + S = 241
H + (H+55) = 241
2H + 55 = 241
2H = 186
H = 93
Since H = 93,
S = 93+55, or 148
148 + 93 = 241 [Checks]
Sodas = 148
Hot dogs = 93
Find the missing value given the points and slope.
(x,1) and(4,6)
m=−5
Answer:
x = 5
Step-by-step explanation:
yeah-ya...... right?
Step-by-step explanation:
the slope is the ratio y change/ x change.
it is -5 here, that means -5/1.
we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).
in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.
so, point 1 is (5, 1).
point 2 is a indicated (4, 6).
Ella bought some keychains and spent a total of $24 each she can cost the same whole dollar amount. How many she bought between seven and 11 key chains. How many key chains did Ella buy?
Answer:
8
Step-by-step explanation
Find the factors of 24
1,2,3,4,6,8,12,24
find the number that is in the range of 7 and 11
what’s the reciprocal of 5 4/9
Answer:
9/49
Step-by-step explanation:
5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49
solve for x in the triangle
Answer:
x=9
Step-by-step explanation:
Since the sides are the same, the base angles must be the same
8x+2 = 10x-16
Subtract 8x from each side
8x+2-8x =10x-16-8x
2 = 2x-16
Add 16 to each side
2+16 = 2x-16+16
18 =2x
Divide by 2
18/2 =2x/2
9 =x
what is -3 (x+2) = 16 -x
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
-3(x + 2) = 16 - x
Step 2: Solve for x
[Distributive Property] Distribute -3: -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides: -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides: -2x = 22[Division Property of Equality] Divide -2 on both sides: x = -11Please help I need to show my work
Please help me with this question
Answer: It's the 3rd one. Secant line
I only need question 51 pleaseeee
Answer:
I think they both did reason correctly! Since they got different answers, we can conclude the initial plan was incorrect.
Step-by-step explanation:
Both of their work looks to be correct. Since they both have correct solutions, we can conclude that the initial plan was incorrect and that an angle was recorded wrong.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
l
The ratio of the sides of two similar hexagons is 3:4. If the area of the smaller hexagon is 36 cm2, what is the area of the larger hexagon? (A
hexagon has 6 sides)
Answer:
64 cm²
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of areas = a² : b²
Here ratio of sides = 3 : 4
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger hexagon then by proportion
[tex]\frac{9}{16}[/tex] = [tex]\frac{36}{x}[/tex] ( cross- multiply )
9x = 16 × 36 = 576 ( divide both sides by 9 )
x = 64
Area of larger hexagon = 64 cm²
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
can someone help me solve this problem? (photo)
Answer:
[tex] - \sqrt{ - (2 \times 2 \times 2 \times 2 \times 3)} [/tex]
[tex]4 \sqrt{ - 3} [/tex]
hope it's helps
answer is B)-4root3
Answer:
[tex]-4i\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{-1} =i[/tex]
[tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]
[tex]-\sqrt{-48} =-\sqrt{-1} \sqrt{48} =-i\sqrt{16} \sqrt{3} =-4i\sqrt{3}[/tex]
Distribute to write an equivalent expression 7(x+3)
Answer:
7x + 21
Step-by-step explanation:
7(x + 3)
= 7.x + 7.3
= 7x + 21
Answer:
[tex]7x+21[/tex]
Step-by-step explanation:
Multiply the single term 7 by each term of the polynomial [tex](x+3)[/tex]
The distance from the Earth to the moon is approximately 238,900 miles. What is the value of 8 in this number?
8000 hope it helps :) :)
Answer:
8000
Step-by-step explanation:
Help...Question 1 Objective: Apply properties of rhombi to solve mathematical and real-world problems. Rhombus LMNO is shown with its diagonals. Angle MNO measures 119º. What is the measure of angle LMN? M P N o
Answer:
61°
Step-by-step explanation:
As in all parallelograms, adjacent angles are supplementary.
∠LMN = 180° -∠MNO
∠LMN = 180° -119° = 61°
Any help is appreciated, this is timed :)
Answer:
step 6 has an algebraic error
help.. What is the domain of the function
Answer:
i think d
Step-by-step explanation:
solve the Simultaneous equations : x+y=5; x-y=1
Answer:
x=3 and y=2
Step-by-step explanation:
These equations line up quite nicely, so let's use the elimination method.
x+y=5
+ x-y=1
-------------
2x=6.
Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides
x=3.
Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.
3+y=5.
We subtract 3 from both sides to get y=2.
We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.
Have a nice day :)