In a certain city, if the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed, then the algebraic expression that describes the total to be paid (T) on a consumption of (C) m³ of water will be [T = (6.35C + 62.44)].
As per the question statement, in a certain city, the cost of availing drinking water service is $62.44, and we have to pay an additional $6.35 for every m³ of water consumed.
We are required to determine an algebraic expression that can describe the total amount to be paid (T) for a consumption of (C) m³ of drinking water.
Here, if we suppose that 1 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*1)+62.44][/tex]
Similarly, if we suppose that 2 m³ of drinking water is consumed, then total amount to be paid = [tex][(6.35*2)+62.44][/tex]
Thus, on consumption of "C" m³ of drinking water is consumed, total amount to be paid [tex][T=(6.35*C)+62.44][/tex]
[tex]or, [T=(6.35C+62.44)][/tex].
Algebraic Expressions: These are mathematical statements which consists of constant integers, variables and arithmetic operations between them.To learn more about Algebraic Expressions, click on the link below.
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help
of an hour then \$2.00$2.00 for each additional \displaystyle \frac{1}{10}
10
1
of an hour.
Using this information, fill in the table below
Using proportions, the table is filled as follows:
t = 9/10, price $16.3.t = 4, price $78.3.t = 3(9/10), price $76.3.t = 7, price $138.3.What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
The rates are given as follows:
$3 for the first 0.1 hour.$2 for each subsequent 0.1 hour.Hence, for 9/10 = 0.9 hours, the price is given as follows:
3 x 0.1 + 2 x (0.8/0.1) = 16.3.
For 4 hours, the price is given as follows:
3 x 0.1 + 2 x (3.9/0.1) = 78.3.
For 3 and 9/10 hours = 3.9 hours, the price is given as follows:
3 x 0.1 + 2 x (3.8/0.1) = 76.3.
For 7 hours, the price is given as follows:
3 x 0.1 + 2 x (6.9/0.1) = 138.3.
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7. USE EFFICIENT METHODS The product of
two integers is -24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?
The two integers p and q are 12 and –2.
The product of two integer is –24
the difference between the two integer is 14
The sum of two integers is 10
if p+ q and pq are known then quadratic equation corresponding to roots as p and q is given by,
⇛ x^2 - (p+q)x + pq=0
simplify the value of p and q
⇛ x^2-10x-24=0
⇛ x^2-12x+2x-24=0
⇛ (x^2-12x)+(2x-24)=0
⇛ x(x-12)+2(x-12)=0
⇛ (x-12)(x+2)=0
The value of two integer are x=12,x=-2.
Hence, p and q are 12 and -2.
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A = {-2, -1, 0, 1, 7} I ={-2, -1, 1, 2, 8} find the union of A and I
Answer:
It is AUB=(0,-2,-1,0,1,2,7,8)
Step-by-step explanation:
A has (0 and 7)only
I has (2,8) only
and the union is (-2,-1,1)
Question 1 (4 points)
An amusement park charges $2.25 per ticket for the rides. Sean bought 30 tickets
for the rides and spent a total of $80 at the park. Sean spent his money only on ride
tickets and park admission. The price of the fair admission is the same for everyone.
Write a linear equation that can be used to determine the cost for anyone who only
pays for ride tickets and fair admission. Use y to represent the total cost and x to
represent the number of ride tickets. Explain how you calculated the equation
Answer:
y= 2.25x +12.5
Step-by-step explanation:
sean had bought 30 ride tickets and the park admission for a total of 80 dollars. 30 x 2.25 is 67.5 for the rides, leaving 12.5 dollars for admission. therefore everyone who pays for admission has to pay 12.5 dollars. therefore y=2.25x +12.5. 'x' being the number of tickets bought and 'y' being the total money spent.
Look at the point P on the number line.
A number line going from negative 50 to positive 50. Point P is at negative 40.
100 POINTS HURRY!!
Which number lines have a point that is equal to point P? Check all that apply.
The number lines have a point that is equal to point P are number lines 1 and 3
How to determine the number lines have a point that is equal to point P?On the initial number line, we have the following parameters
Range = -50 to 50
Point P = -40
Next, we determine the parameters of the number lines in the options
So, we have
Number line 1:
Range = -60 to 0
Point P = -40
Number line 2:
Range = -60 to 0
Point P = -20
Number line 3:
Range = -60 to 0
Point P = -40
Number line 4:
Range = -60 to 0
Point P = -45
Using the above as a guide, we can conclude that the number lines have a point that is equal to point P are number lines 1 and 3
Hence, the number lines have a point that is equal to point P are number lines 1 and 3
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Answer:A & C
Step-by-step explanation:
why is it that my question is never answered?
Answer: I don't know
Step-by-step explanation:
Answer:
I don't know how to answer your question
At Landmark Tech, the ID numbers consist of two letters followed by 5 numbers with no repeating numbers or letters.
Part A) How many different ID numbers are possible?
Part B) What is the probability that a randomly selected ID number would have the initials BP in it?
the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.
We have 26 alphabets and 10 digits.
Now, we have ID's that have two letters followed by 5 numbers with no repeating numbers or letters.
So, the possible number of ID's will be calculated by using the permutation.
Possible ID's = 26 × 25 × 10 × 9 × 8 × 7 × 6
Possible ID's = 19,656,000
Number of ID's with the initials BP will be:
Number = 1 × 10 × 9 × 8 × 7 × 6
Number = 30,240
Probability = 30240 / 19,656,000
Probability = 0.0015
Therefore, we get that, the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.
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60 POINTS Graph the solution to this inequality on the number line. 3/5 z > 3/4
Answer:
open circle at 1 1/4 with an arrow pointing to the right towards 3
Step-by-step explanation:
you need to divide each side by 3/5 to get c all by itself when you divide fractions you keep change flip so it ends up being 5/4 or 1 and 1/4. Since be inequality is greater than and not greater than or equal to it will be an open circle and since z is greater than 1 and 1/4 the arrow will be pointing to the right
Find the equation of the line passing through the point (-3,5) that is parallel to y = -2x + 8.
Give your equation in the form y = mx + b.
The equation of the line passing through the point (-3,5) and is parallel to y = -2x + 8 is given by y = -2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the line with an equation y = -2x + 8, the slope of the line is -2.
Two equations are said to be similar if they have the same slope, hence the slope of the line is -2 and it passes through the point (-3, 5), hence:
y - 5 = -2(x - (-3))
y = -2x - 1
The equation of the line passing through the point (-3,5) and is parallel to y = -2x + 8 is given by y = -2x - 1
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5x - 4 > 12 AND 12x + 5 < -4
Answer:
x = between -3/4 and 3_1/5
x > 3_1/5 AND x < -3/4
Para la mezcla de Líquidos flamables utilizamos el ingrediente L1 y L2. Con una ganancia neta L1 =
$90.00, y de $50.00 para L2. ¿Cómo debo plantear la función objetivo en un modelo de maximización
de ganancias en la variable Z?
Answer:
Step-by-step explanation:
Zmax= 90l1 + 50l2
The objective function in a profit maximization model for the mixture of flammable liquids would be: Z = 90L1 + 50L2.
In a profit maximization model, the objective is to maximize the overall profit, which is represented by the variable Z in this case. The profit obtained from each ingredient is given by $90 for L1 and $50 for L2.
To maximize the total profit, we need to determine how much of each ingredient should be used in the mixture. Let L1 represent the amount of ingredient L1 used and L2 represent the amount of ingredient L2 used in the mixture.
The profit obtained from L1 is calculated by multiplying the amount (L1) by the profit per unit ($90.00), which is 90L1. Similarly, the profit obtained from L2 is calculated as 50L2.
The objective function Z represents the total profit, which is the sum of the profits obtained from both ingredients: Z = 90L1 + 50L2.
By maximizing the objective function Z, the model will determine the optimal values of L1 and L2 that result in the maximum profit for the mixture of flammable liquids.
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What is 5/10 as a decimal?
Answer: 0.5
Step-by-step explanation:
1/2=0.5
[tex]3 \sqrt{2a - b { \: }^{2} } when \: a = 20 \: and \: b = 3[/tex]
what is the answer of this question
Answer:
Step-by-step explanation:
4
a
2
+
4
a
b
+
b
2
Wes bought a lobster roll and ice cream at a restaurant in New Hampshire, a state that has a 9% prepared food tax. Including the food tax, how much did Wes pay for a lobster roll priced at $23 and a double scoop of ice cream priced at $4.50?
Answer:
Reasoning:
Including the food tax, Wes paid $29.975 for both lobster roll and ice cream.
Given that, the cost of lobster roll=$23, the cost of ice cream=$4.50 and the tax on prepared food=9%.
What is a tax?A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behaviour aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs.
Now tax on an ice cream =9% of 4.50
=9/100 × 4.50
=0.09 × 4.50=$0.405
The total cost of an ice cream=4.50+0.405=$4.905
Tax on lobster roll =9% of 23
=9/100 × 23=2.07
The total cost of a lobster roll=23+2.07
=$25.07
So, the total cost=4.905+25.07=$29.975
Therefore, including the food tax Wes paid $29.975 for both lobster roll and ice cream.
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As the bookkeeper of Moore Company, you are asked to complete a bank reconciliation from the following:
Note: Round your answer to 2 decimal places.
Checkbook Balance:
Bank balance:
Deposits in transit:
Note collected:
Outstanding checks:
Bank service charge:
$ 48,621.80
57,190.52
3,369.08
4,000.00
7,957.80
20.00
Answer:
so first, the Bank Balance, Deposits in Transit, and Bank Service Charge are all categorized in the "Bank Statement Balance". Checkbook Balance, Note Collected, and Outstanding Checks are all categorized in the "Checkbook Balance". So this means that the Reconciled Balance of the "Bank Statement Balance" is 60,579.61, and the "Checkbook balance" is 60,579.60. The bank statement column is Bank Balance, Deposits in transit, and Bank service charge. The Checkbook Balance column is Checkbook Balance, Note collected, and Outstanding Checks.
Step-by-step explanation:
Which is a counterexample to the following statement?
If an animal is brown, then it is a dog.
1. Chocolate Lab
2. Blue Jay
3. White Rabbit
4. Squirrel
The example here that can be seen to be the counterexample would be squirrel.
What is a counter example?This is the term that is used to refer to the example that is given which is in opposition to the example that has been offered previously in a sentence. This is the counterexample in the question that we have here given that the squirrel that is being talked about is not a dog and also the color that it has is also not brown.
Hence we would conclude that the best solution to the question is that The example here that can be seen to be the counterexample would be squirrel.
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The translation of triangle EGP is E’ (-1,-11), G(-10,5), P’(8,-15). If the corner of E is (-3, -6), what are the coordinates of G & P?
Round to the nearest thousands 34,385
need help
Answer:34,000
Step-by-step explanation:
Answer:
its 34,000 because it below 5
Step-by-step explanation:
brainliest please
HELP ME OUT PLEASE!!!!!!!
What equation, in point-slope form, matches the graphed line shown?
A) y - 5 = -2/3 (x + 9)
B) y - 2 = - 3/4 (x - 6)
C) y - 6 = 4/5 (x - 2)
D) y + 6 = 4/5 (x + 3)
The point-slope form which matches with the given graph is y - 2 = -3/4 (x - 6) which is option (B).
Given a line shown in the graph with points (6, 2)
We need to find the equation using the point-slope form as
= y - y₁ = m ( x - x₁)
Here m is the slope
To write this equation we need to find the slope for that we need another point.
We can observe the line cuts the axes on another point in the graph as
(-2, 8).
So slope (m) = y₂ - y₁ / x₂ - x₁
= 8 - 2 / -2 - 6
= 6 / -8
= -3 / 4
Now the point-slope equation form can be written as
= y - y₁ = m ( x - x₁)
= y - 2 = -3/4 (x - 6)
Therefore, the correct option is (B).
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What is the correct answer?
The equation f(x)= 2|x|-9 translation 6 units up is g(x)=
The path of an airplane taking off is modeled by a linear equation. The slope of the
line is 50, and (2, 150) is a point on the line. What is the equation of the line in
slope-intercept
form.
Answer:
50x + 50
Step-by-step explanation:
Y = mx + b
Y = 50x + b
f(2) = 150
150 = 100 + b
b = 50
the equation of the line would be y = 50x + 50 which linear equation is used to represent the path of an airplane taking flight.
We have been given that the slope of the line is 50, and the point on the line is (2, 150).
What is a linear equation?A linear equation is represented as an equation in which the highest degree of the variable is always one.
Let the equation of the line be in slope-intercept form.
⇒ y = mx + b
A linear equation is used to represent the path of an airplane taking flight.
Here m = 50,
⇒ y = 50x + b
If the x-coordinate is 2 and then y-coordinate is 150
So f(2) = 150
⇒ 150 = 100 + b
⇒ b = 50
Substitute the value of b = 50 in the above equation to get
⇒y = 50x + 50
Therefore, the equation of the line would be y = 50x + 50.
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A rectangular swimming pool has a length of 11 feet, a width of 18 feet and a depth of 5 feet. Round your answers to the nearest hundredth as needed.
(a) How many cubic feet of water can the pool hold?
cubic feet
(b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this?
cubic feet
(c) One cubic foot of water is approximately 7.48 gallons. How many gallons of water should you put in the pool at 95% capacity?
gallons
(d) A gallon of water weighs approximately 8.35 pounds. How many pounds of water are in the pool at 95% capacity?
pounds
Answer:
a)It can hold 990ft³
b) 940.5ft³
c) 7,034.94 gallons of water
d) 58,741.749 pounds at 95% capacity
Step-by-step explanation:
A) Volume in cubic feet = Length (feet) x Width (feet) x Height (feet)
= 18 × 11 × 5 = 990ft³
B) 990ft³ × 95%
➟ 990 × 0.95
➟ 940.5ft³
C) 7.48 gallons × 940.5ft³
➟ 7,034.94galllons
D) 7034.94gallons × 8.35 pounds
➟ 58,741.749pounds
Which equations are true? Select all that apply.
A. 57 x 10,000 = 57,000
B. 57 x 10º = 57,000
C. 57 x 1,000 = 5, 700
D. 57 x 102 = 570
E. 57 x 10,000 = 570,000
Answer: B, C, E
Step-by-step explanation:
When you multiply 57 by 1,000 you do indeed get the answer 57,000 because you only add 3 zeros because 1,000 has 3 zeros, same thing goes with 57 x 10,000, you just add 4 zeros to 57 to get your answer.
What is the y-intercept of the quadratic function
f(x) = (x – 8)(x + 3)?
(8,0)
(0,3)
(0,–24)
(–5,0)
Answer:
(0,-24)
y-int-->x=0
f(0)=(0-8)(0+3)
f(0) =(-8)(3)
f(0)= -24 where: f(x)=y
y= -24
Can anyone pls help I don't get this problem
The function operation (f.g)(x) is solved by finding the composite function of the functions.
The operation (f.g)(x)[tex](f.g)(x)= f(g(x))\\g(x) = \frac{1}{x} = f(\frac{1}{x})\\f(\frac{1}{x}): \frac{x}{2+x} \\(f.g)(x) = \frac{x}{2+x}[/tex]
DomainThe domain of this function is given as
[tex]domain = x < -2 or x > -2\\Interval notation (- infinity , -2) U (-2, inifnity)[/tex]
From the calculations above, the composite function is the ratio of x to x + 2, while the domain of this function moves from negative infinity to negative two and negative two to infinity.
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In Question 1-2, determine the type of reasoning for each statement, (GEOMETRY)
1. IN ORDER TO PARTICIPATE IN SCHOOL SPORTS, STUDENTS MUST HAVE A MINIMUM GPA OF 2.0, JIM HAS A GPA OF 2.75 THEREFORE HE CAN PARTICIPATE IN SCHOOL SPORTS.
2. EVERY TUESDAY THAT YOLANDA FAMILY HAS VISITED A SPECIFIC LOCAL RESTAURANT , THE KIDS MEAL HAVE BEEN FREE. WHEN YOLANDA FAMMILY VISITS THAT RESTAURANT NEXT TUESDAY, the kids meal will bee free.
The type of reasoning for the first statement is quantitative reasoning.
The type of reasoning for 2nd statement is logical reasoning.
What is an average GPA?Grade Point Average is defined as a score used to evaluate success during the whole of the degree program.
Students must have a minimum GPA of 2.0 in order to participate in school sports
Since Jim has a GPA of 2.75, thus he is eligible to play.
Therefore, the type of reasoning for this statement is quantitative reasoning.
The children's meal has always been free whenever the Yolanda family has gone to a certain local restaurant on a Tuesday.
When the Yolanda family visits that restaurant next Tuesday, the children's meal is free.
Therefore, the type of reasoning for this statement is logical reasoning.
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Lemoncita is making lemonade to bring to the beach. She has two containers. One holds 2 gallon(s) and the other holds 3 quarts. If she fills both containers, how many cups of lemonade will she have?
Lemoncita will have 44 cups of lemonade to bring to the beach.
What is conversion?The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.
The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract, technical specifications or other published standards.
It is given that-
Number of containers of lemonade = 2
One container holds = 2 gallons
Second container holds = 3 quarts
Now to find the number of cups from these two containers, let us convert the whole quantity into alike units.
Now converting gallons to quarts,
since we know that,
1 gallons = 4 quarts
Therefore,
2 gallons = 2*4 quarts
⇒ 2 gallons = 8 quarts
Thus 2 gallons is equal to 8 quarts.
Therefore total amount lemonade = (8 + 3) quarts
⇒ total amount lemonade = 11 quarts
Now converting quarts to cups,
since 1 quart can hold 4 cups
Therefore, 11 quarts = 11*4 cups
⇒ 11 quarts = 44 cups
Thus 11 quarts is equal to 44 cups.
Thus total cups of lemonade = 44 cups
Hence, Lemoncita will have 44 cups of lemonade to bring to the beach.
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2y − 7x + 4x2 + 3y + 7x 4x2 − 14x + 5y 4x2 − 14x 4x2 + 14x + 5y 4x2 + 5y
The equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We need to find the equivalent expression of 2y − 7x + 4x² + 3y + 7x.
2y − 7x + 4x² + 3y + 7x.
Solve the like terms in the expressions;
2y + 3y − 7x + 7x + 4x²
5y + 4x²
Therefore, the equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.
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The complete question is;
Find the equivalent expression of 2y − 7x + 4x2 + 3y + 7x.
A 4x2 − 14x + 5y
B 4x2 − 14x
C 4x2 + 14x + 5y
D 4x2 + 5y
Write the following expression in expanded form: 9^3x 7^3