Answer:
y=mx+b
y=35+5x
Step-by-step explanation:
: A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be
Step-by-step explanation:
A case of paper cups costs $408 / 17 = $24.
5 more cases => 22 cases of paper cups total.
Hence the total cost will be 22 * $24 = $528.
Answer:
$528
Step-by-step explanation:
We find the unit rate of the cost per case.
$408 / 17 cases = $24/case
Each case costs $24.
Adding 5 cases to 17 cases, the order will be for 22 cases.
22 cases * $24/case = $528
Answer: $528
Simplify. Use the distributive
property and combining like terms to
simplify each expression.
7. 5x + 2(x – 3),
Answer:
7x - 6
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x + 2(x - 3)
Step 2: Simplify
Distribute 2: 5x + 2x - 6Combine like terms: 7x - 6Combining like terms is a process where you combine the terms with the same variable and/or exponent.
Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.
Now, what is the distributive property?
The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:
[tex]\sf{a(b+c)=ab+ac}[/tex]
Here, a got multiplied by b and c.
Similarly, we combine the terms:
[tex]\sf{5x+2(x-3)}[/tex]
Simplify:
[tex]\sf{5x+2x-6}[/tex]
Combine like terms:
[tex]\sf{7x-6}[/tex]
Hence, the simplified answer is 7x - 6.
Find the coefficient of x² in the expansion of (x - 2/x)⁶
Answer:
I think answer for ur question is 60
6 + 4x - 9 what is the awnser
Answer:
y = 5
Step-by-step explanation:
4×(x -3y = -6 ) ➡ 4x - 12y = -24
4x -12y - 4x +9y = 9 - 24 ➡ -3y = -15
y = 5 use this value to find x
x - 3×5 = -6
nothing sorry.......
Answer:
ok
Step-by-step explanation:
well thats good
A deep sea diver is at 45 feet below sea level. A helicopter is at 100 feet above sea level. What is the distance between the helicopter and deep sea diver?
Answer:
D = 55 feet
Step-by-step explanation:
Let below sea level is negative direction and above sea level is positive direction.
A deep sea diver is at 45 feet below sea level = -45 feet
A helicopter is at 100 feet above sea level = +100 feet
We need to find the distance between the helicopter and deep sea diver. It can be calculated by simply adding the above data as follows:
D = -45 +100
= 55 feet
Hence, the distance between the helicopter and deep sea diver is 55 feet.
Write the simplest polynomial function for each set of zeros
Zeros = 2,-2, 4, 1
PLEASEEEEE HELPPPPPPPPPP
9514 1404 393
Answer:
p(x) = x^4 -5x^3 +20x -16
Step-by-step explanation:
If 'a' is a zero of the polynomial, then (x -a) will be a factor. For the given zeros, the simplest polynomial will be the product of the corresponding factors:
p(x) = (x -2)(x +2)(x -4)(x -1) . . . . . . note that x -(-2) = x +2 (factored form)
__
Multiplying these out gives the result in standard form.
The product of the first two factors is a "special product" recognizable as the difference of two squares.
(x -2)(x +2) = x^2 -2^2 = x^2 -4
The product of the last two factors can be found in the usual way. The distributive property applies.
(x -4)(x -1) = x(x -1) -4(x -1)
= x^2 -x -4x +4 = x^2 -5x +4
Then the full polynomial is the product of these partial products:
p(x) = (x^2 -4)(x^2 -5x +4)
= x^2(x^2 -5x +4) -4(x^2 -5x +4)
= x^4 -5x^3 +4x^2 -4x^2 +20x -16
p(x) = x^4 -5x^3 +20x -16 . . . . . . . . standard form
If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?
Answer:
12 hat/scarf outfits
Step-by-step explanation:
If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?
We solve this question using the fundamental counting principle.
This states that:
When we have two events, a and bthe number of ways both events can happen is a × b
From the above question, our two events is
a = 3 old felt hats
b = 4 scarves
Hence, the different hat/scarf outfits can he wear is given as
3 × 4 = 12 hat/scarf outfits
If A = 50 degrees, B = 62 degrees, and a = 4, find b.
Round to the nearest tenth.
Answer:
[tex]b \approx 4.6[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Pre-Calculus
Law of Sines: [tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]Step-by-step explanation:
Step 1: Define
A = 50°
B = 62°
a = 4
Step 2: Solve for b
Substitute [LOS]: [tex]\frac{sin(50)}{4} = \frac{sin(62)}{b}[/tex]Cross-multiply: [tex]bsin(50) = 4sin(62)[/tex]Isolate b: [tex]b = \frac{4sin(62)}{sin(50)}[/tex]Evaluate: [tex]b = 4.61042[/tex]Round: [tex]b \approx 4.6[/tex]FIRST TO GET IT RIGHT GETS BRAINLIEST PLSSS HELPPWhat type of function does the equation below represent?
y = -8x
O A. inversely proportional
OB. directly proportional
OC.
not a function
OD
neither directly nor inversely proportional
Answer:
The type of function the equation represents is "directly proportional" ⇒ B
Step-by-step explanation:
The equation of the directly proportional is y = kx, where k is the constant of proportionality, k is a real number that could be positive or negativeThe equation of the inversely proportional is xy = k or y = [tex]\frac{k}{x}[/tex] , where k is the constant of proportionality, k is a real number that could be positive or negativeLet us solve the question using the rules above
∵ The equation of the function is y = -8x
→ Compare it with the two forms above
∵ The equation is in the form of y = kx, where k = -8
∴ The equation represents directly proportional
∴ The type of function the equation represents is "directly proportional"
y^2 + 18y - 41 = 0
Y=
Y=
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
Please help!!!
Find the value of x for which l || m.
Answer:
i can't see the pic clearly
Step-by-step explanation:
A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs after selling 10 tickets, they were still a net loss of $800 (due to the product cost). They sold each ticket for $70 let y represent the net profit (in dollars) when they have sold x tickets
Answer:
y = 70x - 1500
Step-by-step explanation:
Price per ticket = 70
Using the relation :
y = mx + c
x = number of tickets sold
When x = 10 ; y = - 800
Hence,
-800 = 70(10) + c
-800 = 700 + c
-800 - 700 = c
Hence, c = - 1500
The equation for the net profit in dollars is :
y = 70x - 1500
Graph the functions on the same coordinate axis.
[f) =x+ 1
lelx) =x- 6x-7
What are the solutions to the system of equations?
Select each corect answer.
O (1, 2)
o (6, 7)
O(-1, 0)
O(-8, - 7)
(8, 9)
2 3 4 6 7 8 9
Answer:
here you go - (-1,0) and (8,9)
find the slope and the y-intercept of the line.
Answer:
Slope m = 6
y-intercept b = -5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept Form] y = 6x - 5
Step 2: Break Function
Identify Parts
Slope m = 6
y-intercept b = -5
Answer:
[tex]slope:6\\y-intercept:-5[/tex]
Step-by-step explanation:
Given the line:
[tex]y=6x-5[/tex]
We can first refresh our memory with slope-intercept form:
[tex]y=mx+b[/tex]
In slope-intercept form:
[tex]m=slope\\b=y-intercept[/tex]
With that information, using the given equation for the line, we can conclude that:
[tex]m=6[/tex]
[tex]b=-5[/tex]
Becky is writing a coordinate proof to show that the diagonals of a parallelogram bisect each other. She starts by assigning coordinates as given.
A parallelogram graphed on a coordinate plane. The parallelogram is labeled A B C D. The coordinates of vertex A are 0 comma 0. The coordinates of vertex B a comma 0. The coordinates of vertex C are not labeled. The coordinates of vertex D are b comma c. Diagonals A C and B D intersect at point E whose coordinates are not labeled.
Drag and drop the correct answer into each box to complete the proof.
The coordinates of point C are (Response area, c).
The coordinates of the midpoint of diagonal AC¯¯¯¯¯ are (a+b2, c2) .
The coordinates of the midpoint of diagonal BD¯¯¯¯¯ are (Response area, c2).
AC¯¯¯¯¯ and BD¯¯¯¯¯ intersect at point E with coordinates (a+b2,Response area)..
By the definition of midpoint, AE¯¯¯¯¯≅Response area and Response area≅DE¯¯¯¯¯.
Therefore, diagonals AC¯¯¯¯¯ and BD¯¯¯¯¯ bisect each other.
Give actual answer will give brainliest
Answer:
Read Under
Step-by-step explanation:
Just did the quiz. First one is "a + b"
Second spot put "a+b/2"
Third put "c/2"
Finally put "CE" and then "BE"
A parallelogram is a quadrilateral , In which opposite sided are equal and parallel to each other.
The coordinate of point C are (a + b , c)
The coordinates of the midpoint of diagonal BD are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
AC and BD intersect at point E with coordinates [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Properties of Parallelogram shown below,
Opposites sides of a parallelogram are equal and parallel to each other. Opposite angles are equal.Diagonals of a parallelogram bisect each other. Each diagonal divides the parallelogram into two congruent triangles.Since, Diagonals of a parallelogram bisect each other. Therefore, point E is the mid point of both diagonal AC and BD.
Let us consider , coordinate of point C are (x, y)
By using mid point formula,
Coordinate of point E = [tex](\frac{x}{2},\frac{y}{2} )[/tex]
[tex](\frac{a+b}{2},\frac{c}{2} )=(\frac{x}{2},\frac{y}{2} )[/tex]
So, [tex]C(x,y)=(a+b,c)[/tex]
E is the point at which both diagonal bisect to each other. Therefore, E is the mid point of both diagonal AC and BD.
So, coordinate of point E are [tex](\frac{a+b}{2},\frac{c}{2} )[/tex]
Thus, By the definition of midpoint, AE ≅ CE and BE ≅ DE.
Therefore, diagonals AC and BD bisect each other.
Learn more:
https://brainly.com/question/13251657
Please answer this question I cant figure it out.
Answer:
G
Step-by-step explanation:
10x20=200
8x25=200
Answer:
G: 8 in. wide and 25 in. long
Step-by-step explanation:
10 x 20 = 200
5 x 25 = 125 (nope)
8 x 25 = 200
Veronica is shopping for school clothes. She wants to buy pants and shirts. The cost of her clothes can be found using the expressions 30x+ 25y where x is the number of pants and y is the number of shirts. She will also pay 8 tax. If Veronica buys eight shirts and two pairs of pants use the expression from question 4 to determine the total cost of the bill including 8% tax
Answer:
$280.80
Step-by-step explanation:
Given:
C = 30x+ 25y
Where,
C = total cost
x = number of pants
y = number of shirts.
If Veronica buys eight shirts and two pairs of pants
C = 30x + 25y
= 30(2) + 25(8)
= 60 + 200
= 260
C = $260
Sales tax rate = 8%
Amount of sales tax = 8% of $260
= 8/100 × 260
= 0.08 × 260
= $20.80
Total cost of the bill including 8% tax = $260 + $20.80
= $280.80
The two-way table below displays information about passengers on a commercial flight.
Passenger Data
First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57
What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%
The percentage of coach passengers who did not check their bags will be 43.82 %.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.
We have to find the percentage of coach passengers who did not check their bags.
It is found by dividing the total number of passenger bags not checked by the total number of passengers.
=71 / 162 × 100
=43.82 %
Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.
Learn more about the percentage here:
brainly.com/question/8011401
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Jack bought a new car. The price of the car was $18,936. He paid $3,000 upfront and got a loan for the remaining balance. If he paid the same amount each month for 4 years (at which point the car is paid off), how much was his monthly payment?
Answer:
Step-by-step explanation:
Given that:
Price of car = $18,936
Upfront paid = $3000
Time taken to pay remaining balance = 4 years
Amount paid per month if the same amount is paid per month
Remaining balance :
($18,936 - $3000) = $15,936
Number of months in 4 years = (12 * 4). = 48 months
Amount paid per month :
$15,936 / 48
= $332
expanded form of 54.98
Anthony purchased three pounds of chicken and two and one-half pounds of ground turkey. The chicken costs $3.50 per pound and the ground turkey costs $4.25 per pound. What is the total cost of the chicken and the ground turkey?
A
$42.63
B
$21.13
C
$21.50
D
$7.75
chicken total cost
3 * 3.50 = $10.5
ground total cost
1.5 * 4.25 = $6.38
The blue figure is a translation of the black image. Write a rule to describe the translation.
it has gone up 4 lines and left -2 making it go for a (4,-2)
Help me classify the triangles by its sides and measuring its angles :)
Answer:
Triangle 1 : isosceles triangle
Triangle 2 : Right Triangle
Step-by-step explanation:
como simplifico las fracciones de 14+8
Answer:
Simplificadora de Fracciones
Si dividirmos 14 entre 8 obteremos un entero 1 más una fracción propria 6/8. Así, la fracción equivalente es el NÚMERO MIXTO 1 3/4). La fracción 14/8 es igual a 14÷8 y también se puede expresar por el número decimal 1.75.
Step-by-step explanation:
Determine whether x^y•x^z=z^18
is sometimes, always, or never true. Explain.
9514 1404 393
Answer:
sometimes true
Step-by-step explanation:
The equation reduces to ...
x^y·x^z = z^18
x^(y+z) = z^18
This is not true in general, but is true for specific cases of x, y, and z. For example,
4^(7+2) = 2^18 . . . . (x, y, z) = (4, 7, 2)
4^(7+0) ≠ 0^18 . . . . (x, y, z) = (4, 7, 0)
The equation is sometimes true.
PLEASE HELP ME ASAP
Jeff is 6 years older than Sam. In 4 years, he will be twice as old as Sam was 5 years ago. Find their ages now. I need both equations too. I know one is y+6=x but idk the other one.... thx
Plz dont just take the points.... i mean you can but uhhh idk why steal points on a homework site.... thats kinda lame... anyways thx to whoever helps me!!!! <3333
Answer:
7 years
Step-by-step explanation:
SAT QUESTION!!!
Jayden has been reading a 275-page book for English class. On average, he has read about 10 pages in 15 minutes. With a deadline looming, Jayden realizes that he won't finish in time unless he skims through the rest of the book. If he skims the book, he can cover 15 pages in 10 minutes. If it takes Jayden 5 hours and 50 minutes to finish the book (reading and skimming combined), how many pages did Jayden have to skim through?
WITH STEPSSS
Step-by-step explanation:
Let x be the number of pages that were skimmed through.
Time taken to skim through = 10 * (x/15) = 2/3 x min.
Time taken to read through = 15 * [(275-x)/10] = 1.5(275-x) min.
We have 2/3 x + 1.5(275-x) = 350.
Therefore 412.5 - 5/6 x = 350 and x = 75.
Answer:8pages
Step-by-step explanation:
10minutes/350minutes×275=7.85~8pages
HELP PLS PLS PLS LOOK AT THE IMAGE. ThANKS! :)
Answer:
56
Step-by-step explanation:
At a small airport, 3 out of 27
suitcases are misplaced each day. If 810
suitcases are processed, how many suitcaset
would you expect to be misplaced?
