The cost of a large single chocolate is $0.25.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that April and bill went to the grocery store to buy chocolate bars. April bought 4 small chocolate bars and 6 large chocolate bars and 3 large chocolate bars. April paid $16.50 and bill paid $11.25.
We can write -
4x + 6y = 16.50 ... Eq{ 1 }
3x = 11.25 ... Eq{ 2 }
On solving the equation, we get -
{x} = 11.25/3
{x} = 3.75
Now, we can write -
4x + 6y = 16.50
4 x 3.75 + 6y = 16.50
6y = 16.5 - 15
6y = 1.5
y = 1.5/6
{y} = 0.25
Therefore, the cost of a large single chocolate is $0.25.
To solve more questions on algebraic expression visit the link below-
brainly.com/question/1041084
#SPJ6
What is the range of the following relation
(9,-2) (4,3) (8,10) (-4,8)
A- 2,3,8,10
B-(9, -2) (4,3)
C - -4,4,8,9
D- (8,10) (-4, 8)
Answer:
Step-by-step explanation:
i believe it would be A...
2.
Which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
a. f(x) = 5x2 – 2x + 1
b. f(x) = 6x3 + 4x2 – 15x + 32
c. f(x) = 7x4 – 2x3 + 3x2 + 8x – 10
d. f(x) = 8x6 + 1
Given:
x gets larger and larger in the negative direction.
To find:
The polynomial function which gets larger and larger in the negative direction.
Solution:
In options a, c and d, degree of polynomials are even and leading coefficient is positive. So,
[tex]f(x)\to \infty\text{ as }x\to -\infty[/tex]
In option b, degree of polynomial is odd and leading coefficient is positive. So,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
Therefore, the function in option b, [tex]f(x)=6x^3+4x^2-15x+32[/tex] gets larger and larger in the negative direction as x gets larger and larger in the negative direction.
Hence, the correct option is b.
We want to see which polynomial function gets larger and larger as the variable increases in the negative direction. We will see that the correct option is d: f(x) = 8x^6 + 1
Here you need to remember two things.
As the larger the exponent is, the faster the polynomial grows.
When we evaluate a negative number in an even exponent, the outcome is always positive.
Then the polynomials that get larger and larger as x increases in the negative direction are all the polynomials with a even leading exponent, particularly, the one that increases faster is the one with the largest leading exponent, which is:
d. f(x) = 8x^6 + 1
If you want to learn more, you can read:
https://brainly.com/question/23792383
Gepetto, a puppet maker, can produce 15 new puppets per week. He already has 25 completely finished puppets in storage. We want to write an equation to model the relationship between the number of puppets available for sale and the number of weeks. a) What is the slope of your model? (Hint: you are looking for a rate!) b) What is the y-intercept of your model? (Hint: this is also sometimes called the “starting value.”) c) Write an equation in slope-intercept form expressing the relationship between the number of puppets available for sale and the number of weeks. Make sure to define your variables! d) Use your equation to predict how many puppets would be available for sale after seven weeks. e) Use your equation to determine how many weeks it would take Gepetto to fulfill an order for 220 puppets.
Answer:
a) 15
b) 25
c) p = 15w + 25, where p is puppets and w is weeks
Step-by-step explanation:
a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15
b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already
c) The slope and y-intercept were incorporated into an equation in slope-intercept form.
Which of the following is an advantage of a low center of gravity?
It is easier to stay balanced
It is easier to lift your body up
It is easier to fly
It is easier to jump
(I could not find an option for science so I just made the subject math instead but this is sciences)
Answer:
It is easier to stay balanced
Step-by-step explanation:
Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
They met each other one day. How many days later ws they meet each other again?
Robert believes the lines graphed at right are perpendicular, but Mario is not convinced. What is the slope of each line? Explain how you know whether or not the lines are perpendicular.
Answer/Step-by-step explanation:
An easy way to be sure two lines are perpendicular is if the product of both slopes equals -1.
That is: [tex] (m_1)(m_2) = -1 [/tex]. Where, m1 and m2 are slopes of both lines respectively.
Let's find the slope of the both lines.
Slope of the line that slants upward from left to right using coordinates (0, 0) and (2, 2) of two points on the line:
[tex] m_1 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{2 - 0} = \frac{2}{2} [/tex]
[tex] m_1 = 1 [/tex]
Slope of the line that slants downwards from left to right using coordinates (2, 2) and (0, 4) of two points on the line:
[tex] m_2 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{0 - 2} = \frac{2}{-2} [/tex]
[tex] m_2 = -1 [/tex]
Find the product of both slopes
[tex] (m_1)(m_2) = (1)(-1) = -1 [/tex]
Therefore, we know the lines are perpendicular because [tex] (m_1)(m_2) = -1 [/tex].
Yon buys tickets to a concert for himself and a friend. There is a tax of 6% on the price of the tickets and
an additional booking fee of $10 for the transaction. Enter an algebraic expression to represent the price
per person. Simplify the expression if possible. Use variablet for the price of the 2 tickets in dollars.
Plzzzz hellppppppppppl
Answer:
t=1.06x+10 where x=The amount of tickets bought
Step-by-step explanation:
you multiply x by 1.06 to add the extra tax onto it.
You add the 10 to add the $10 booking fee
Action Video rents DVDs and VHS movies to its customers. The cost to rent d, DVD movies, is $3.50 each and the cost to rent r, VHS movies, is $2.50 each. Which of these represents the possible number of DVDs that could be rented for no more than $20?
Answer and explanation:
To determine number if DVDs that can be bought for $20, we simply check price per DVD then calculate how many $20 can buy
Number of DVDs that can be rented for no more than $20
=$20 divided by cost of each DVD $3.50
=20/3.50
=5.714
=5 DVDs
We round down because 0.714 DVD does not qualify as one DVD
(ii) Write 4.31 x 10^3 as an ordinary number.
Answer: 4310
Step-by-step explanation: Because it is a positive exponent instead of negative, you would move the decimal to the right 3 places
I need help please!!!
Answer:
it's yes
Step-by-step explanation:
240 is 75% of what number?
Answer:
320Step-by-step explanation:
Let the unknown number be x
[tex]75 \% \times x = 240 \\ \frac{75x}{100} = 240[/tex]
Cross Multiply
[tex]75x \times 1 = 100 \times 240 \\ 75x = 24000[/tex]
Divide both sides of the equation by 75
[tex] \frac{75x}{75} = \frac{24000}{75} [/tex]
Simplify
[tex]x = 320[/tex]
Answer:
320
Step-by-step explanation:
you would do [tex]\frac{75}{100}[/tex]*x=240
then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*[tex]\frac{100}{75}[/tex]
which would give you [tex]\frac{24000}{75}[/tex]=x
which then simplifies down to 320
[-7]+7=
i got zero but my thing says its wrong :/
Answer:
0
Step-by-step explanation:
-7 + 7 should be equal to 0. Maybe you wrote the numbers or the sign wrong..?
Answer:
=0
Step-by-step explanation:
ese es la respuesta mijo
What is -3/8
written as a decimal?
For an annual membership fee of $500, Mr. Bailey can join a country club that would allow him to play a round of golf for $35. Without the membership, the country club charges $55 for each round of golf. How many rounds of golf would Mr. Bailey have to play for the cost to be the same with and without a membership?
Answer:
adding the $35 with the $55 be up to 90 . I think that the answer to it hope is helpful
When do you use a Vertex Form y=a(x – h)2 + k ? What information do you get from a Vertex Form?
Please tell me
y = a(x - h)² + k is the vertex form of an equation of a parabola with vertex (h,k)
We get the coordinates of the vertex of parabola from that form: (h, k)
We also know if the parabola goes up or down: a>0 or a<0
We can tell how many roots has the equation:
(a>0 and q>0) or (a<0 and q<0) ⇒ no roots
a≠0 and q=0 ⇒ one root: x₀=p
(a>0 and q<0) or (a<0 and q>0) ⇒ two roots
We can also determine the roots (if they exist):
a(x - h)² + k = 0
a(x - h)² = - k
(x - h)² = - k/a
x - h = √[-k/a] ∨ x - h = - √[-k/a]
x = √[-k/a] + h ∨ x = - √[-k/a] + h
Usually you use this form to find the equation of parabola when you have got given the vertex and some other point from that parabola.
A car is driving down from the top of a Colorado mountain. The elevation is 13,500 feet. Every minute of driving, the car's elevation decreases by 150 feet. Let x be the time in minutes that the car has been driving down the mountain , E(x) = -150x+13,500. Evaluate E(5), and explain the meaning of the answer in terms of the car.
Answer:
Step-by-step explanation:
Given the rate at which the car elevation decreases expressed by the function
E(x) = -150x+13,500 where x is in minutes.
To evaluate E(5), we will substitute the variable x = 5 into the function as shown;
E(5) = -150(5)+13,500.
E(5) = -750+13,500.
E(5) = 13500-750
E(5) = 12750
This means that after 5minutes, the car elevation has decreased by 12,750feet
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2?
A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).
A coordinate plane with a line passing through (negative 3, 0) and (0, 2).
A coordinate plane with a line passing through (0, 2) and (2, negative 1).
A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
Answer:
graph 1
Step-by-step explanation:
Graph using table of values
x y
2 -2/3
1 -4/3
0 -2
they are all on that graph
The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
What are intercepts?Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
According to the question
Represents a line with a slope of -2/3
i.e ,
m = -2/3
y-intercept equal to that of the line
y = [tex]\frac{2}{3}x-2[/tex]
i.e ,
at y-intercept , x = 0
y = -2
Now, Putting value in standard form of line
y = mx + c
-2 = 0 + c
c = -2
now , substituting the values of m and c in standard form of line
y = mx + c
y = [tex]\frac{-2}{3}x-2[/tex] --------- (equation of graph )
Now ,
x y
0 -2
3/2 1
3 0
Only option 4 have these points
Hence, The graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2 is A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
To know more about slope and intercepts here:
https://brainly.com/question/19824331
#SPJ2
can someone plz help im strugging
Answer:
a. the measure of angle A is 113 degrees
the measure of angle B is 67 degrees
Step-by-step explanation:
Remember, linear pairs have a sum of 180 degrees when added. So, if you add your angle measures and set it equal to 180, then you just need to solve from there.
7x-13+3x+13=180
combine like terms
(7x+3x)+(-13+13)=180
10x+0=180
10x=180
divide both sides by 10 to isolate x
x=18
now that you have x, plug it into your angle measures
m<a: 7(18)-13
126-13
113
m<b: 3(18)-13
54+13
67
What is the equation of the line that is perpendicular to y = -2/3x + 4 and that passes through (–2,–2)?
y = 3/2x - 3/10
y = 3/2x - 5
y = 3/2x + 1
y = 3/2x - 2/3
Answer: y = 3/2x + 1
Step-by-step explanation: For a perpendicular line, take the reciprocal of "m" and reverse the sign.
- 2/3 becomes +3/2
Then substitute the y and x values of the given coordinate into the equation and solve for "b"
y = mx + b
-2 = 3/2(-2) + b
-2 = -3 + b
-2 +3 = b
+1 = b Substitute for b in y = (3/2)x + 1
Alonso brings $21 to the market to buy eggs and avocados. He gets eggs that cost $2.50. Then, he notices that
the store only sells avocados in bags of 3 for $5. He wants to buy as many avocados as he can with his
remaining money.
Let B represent the number of bags of avocados that Alonso buys.Which inequality describes this scenario? It is the night largest number of avocados the Alonso can afford 
Answer:
21- 2.50 = 18.50
he can only buy 3, 5 10 15. he can buy 9.
The difference of a number n and 1 squared is 25
Answer:
6
Step-by-step explanation:
6-1=5
5 x 5= 25
Please help! Will be marking brainliest!
Answer:
integer and rational
Step-by-step explanation:
Josh but a total of 30 cans of cola and root beer. There were twice as many cans of cola is cans of root beer. How many cans of color did he buy?
Answer:
20
Step-by-step explanation:
start by using system of equations
x = cola
y = root beer
x + y = 30
x = 2y
now either use substitution or elimination. for me, substitution is easier.
the second equation already has one variable isolated ( x ) so, plug that into the first equation.
2y + y = 30
y = 10
now plug your answer into the original equation.
x + 10 = 30
x = 20
hope this helps :)
(4 ² +24) = |(3 - 7) - 16|=
3
5
1
2
Answer:
The equality is not true.
Step-by-step explanation:
[tex](4^2 +24) = |(3 - 7) - 16|[/tex]
[tex](16 +24) = |(3 - 7) - 16|[/tex]
[tex]40 = |(3 - 7) - 16|[/tex]
[tex]40 = |(- 4) - 16|[/tex]
[tex]40 = |-20|[/tex]
[tex]40 = 20[/tex]
But
[tex]40 \neq 20[/tex]
Math question please help asap
The temperature dropped 6°C every hour for 9 hours. What was the total number of degrees the
temperature changed in the 9 hours?
Answer:
What is the starting temp?
Step-by-step explanation:
PLEASE HELP I really need it!!! Steve deposited 2,500$ to the bank. The account has an annual simple interest rate of 4%. After 3 years how much simple interest will Steve Earn? Please Help ASAP
Answer:
$300
Step-by-step explanation:
You want to calculate the interest on $2500 at 4% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $2500.00.
r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 2500 × 0.04 × 3 to get that:
The interest is: $300.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 2500.00 + 300.00 = 2800.00
Pls help i will give brainliest シ♡︎
Answer:
No solution
Step-by-step explanation:
Parallel lines
Answer:
no solution
Step-by-step explanation:
easy way to remember parallel lines don’t touch.....no solution ever
Each time the 5 moves one place to the left, it is worth ___________as
much
A. 10 times
B. 100 times
C. One-tenth
D. One hundredth
Answer:
A. 10 times
Step-by-step explanation:
Answer:
A. Ten times.
Step-by-step explanation:
If it was one place to the right, it would have been one-tenth, so that's gone. If it was moved twice in place of either direction, it would be hundredths, so those are also eliminated. So, It's 10 times.
Find the area of the semicircle please .
Answer:
39.25
Step-by-step explanation:
the formula is a = (3.14 × [tex]r^{2}[/tex]) / 2
the equation is a = (3.14 ×[tex]5^{2}[/tex]) / 2
5 is the radius
1. [tex]5^{2}[/tex] = 25
2. 3.14 × 25 = 78.5
3. 78.5 / 2 = 39.25
I hope this helped! :)
Answer:
12.5π or 39.25
Step-by-step explanation:
10 is diameter, we first find the radius which is 10/2 = 5 and so we know the area formula of the circle is πr^2 so 5^2 is 25 and then there's a π at the end so 25π, but it's a semicircle so 25π/2 which is 12.5π, if it's in base 10 (decimal form) then simply do 12.5 x 3.14 = 39.25