Answer:
The fuel economy is 36 miles per gallon. For each mile 1/36 gallon will be used.
Initial volume is 13,2 gallons and x is the number of miles.
Our equation is:
y = 13.2 - 1/36xor
y = -1/36x + 13.2Evaluate the expression 4xy-yz
The expression 4xy-yz is an algebraic equation.
What is expression?Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.
To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.
The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.
In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.
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The expression 4xy-yz is an algebraic equation.
What is expression?Expression is defined as a way of conveying one's thoughts and feelings through spoken or written words, behavior, or art. It is a form of communication, which can be both verbal and non-verbal. Expression can also be used to show an emotion, opinion, or reaction. Expression is a way of expressing oneself, and it can be used to share ideas, feelings, and experiences with others.
To evaluate it, one must first substitute numerical values for the variables. For example, if x=2, y=3, and z=1, then the equation can be solved as follows: 4(2)(3) - (3)(1) = 12 - 3 = 9. Therefore, the expression 4xy-yz evaluates to 9.
The expression 4xy-yz can also be evaluated using the Order of Operations. This is the rule that states that multiplication and division should be done before addition and subtraction. In the equation 4xy-yz, the multiplication (4xy) should be done first, followed by the subtraction (-yz). This would yield an answer of 4x-z. Again, numerical values must be assigned to the variables in order to find the answer.
In conclusion, the expression 4xy-yz can be evaluated by either substituting numerical values for the variables or following the Order of Operations. The answer will depend on the values that are assigned to the variables.
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How do you solve a 2 step equation 7th grade?
The Two steps equation in mathematics can be solved within exactly two steps by performing operation on both sides of the equation .
What is a Two Step Equation ?
The Two Step Equation can be defined as the equations that can be solved exactly within two steps.
When solving the two step equation, we have to perform the operation on both sides of equals to sign.
To solve the equation we need to perform same operation on both sides of equation.
For Example ⇒ Solve [tex]3x+3=12[/tex] ;
Step1 : we Subtract 3 from both sides to isolate the variable x.
⇒ [tex]3x + 3 - 3 = 12 - 3[/tex]
⇒ [tex]3x = 9[/tex]
Step2 : We Divide both the sides of equation by 3 and solve for x.
⇒ [tex]\frac{3x}{3} =\frac{9}{3}[/tex]
⇒ [tex]x = 3[/tex] ;
Therefore , the given equation is solved in two steps .
The given question is incomplete , the complete question is
How do you solve a 2 step equation ?
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A. Encuentra el valor del tercer ángulo en un triángulo que tiene dos ángulos que miden 112º Y 52º B. Encuentra el valor del cuarto ángulo en un cuadrilátero que tiene los siguientes ángulos: 105º, 32º Y 10º
Answer:
El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.
El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.
Step-by-step explanation:
Spanish
La suma de los ángulos de un triángulo siempre es igual a 180 grados. Si conocemos dos de ellos, podemos encontrar el tercero. Dejemos que el tercero se denote por x entonces
112 ° + 52 ° + x = 180 °
x = 180 ° -112 ° -52 °
x = 16 °
El tercer ángulo en un triángulo será 16 ° si los otros dos ángulos son 112º y 52º.
La suma de los ángulos de un cuadrilátero siempre es igual a 360 grados. Si conocemos tres de ellos, podemos encontrar el cuarto. Dejemos que el cuarto se denote por y luego
105º + 32º + 10º + y = 360 °
o
y = 360 ° -105º- 32º- 10º
y = 213 °
El cuarto ángulo en un cuadrilátero será 213 ° si los otros tres ángulos son 105º, 32º y 10º.
English
The sum of angles in a triangle is always equal to 180 degrees. If we know any two of them we can find the third one. Let the third one be denoted by x then
112°+52°+x= 180°
x= 180°-112°-52°
x= 16°
The third angle in a triangle will be 16° if the other two angles are 112º and 52º.
The sum of angles in a quadrilateral is always equal to 360 degrees. If we know any three of them we can find the fourth one. Let the fourth one be denoted by y then
105º+ 32º+ 10º+y= 360°
or
y = 360°-105º- 32º- 10º
y= 213°
The fourth angle in a quadrilateral will be 213° if the other three angles are 105º, 32º and 10º.
Paige has set a goal to earn at least $220 from her part time sales job this month. she earns $20 regardless of what she sells for the month and then 20% Commission on all product sales. Write inequalities that can be used to determine X the amount of product sales Paige needs to make her goal for the month.
Answer:
The required inequality is;
0.2·X + 20 > 220
Step-by-step explanation:
The parts of the required inequality are;
The goal amount Paige set to earn for the month = At least $220
The amount she earns regardless of what she sells = $20
The percentage commission she gets for all product sales = 20%
Given that 'X' represent the amount of product sales Paige makes, we have;
The amount Paige makes in a month, A = 20% × X + 20 = 0.2·X + 20
Therefore, given that Paige's goal is to earn at least $220 from her part time sales in the current month, we get the inequality that can be used to determine the value of 'X' Paige needs to make are goal as follows;
A = 0.2·X + 20 > 220
The required inequality = 0.2·X + 20 > 220
∴ X > (220 - 20)/0.2 = 1,000
From which we get;
The amount of product sales Paige needs to make her goal, X > 1,000.
please help this is due today!! :( find the constant rate of change in interpret meanings for both graphs
Answer:
2/3
Step-by-step explanation:
each point on the graph goes up 2 and over 3, and it's going in the positive direction. every 2/3 days the book sales go up 1,000 dollars
The price of an article is fixed at a certain percent above the cp and sold it at 5% discount . If the cp is rs16000 and sp is rs20900 with 10% vat ,how much percentage is mp more then cp ?
Markup price is 30% more then Cost price.
What is VAT?The selling price includes a VAT (which is a form of tax) and a discount.
A Vat is a form of tax which increases the price of a good and a discount reduces the price.
The marked price is mp = cp(1 + 5%) = 1.50cp
The selling price is sp = mp(1 -10%) = 0.90mp
The gain is profit =sp -cp
= (0.90(1.50cp)) -cp
= cp(0.90·1.50 -1)
= 0.04cp
Mark up = (selling price - cost price) / cost price
(20900 - 16,000) / 16,000 = 0.306 = 30.6 %
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Write a linear equation and one variable that has infinitely many solutions. show the process of simplifying the equation to prove that it has infinitely many solutions.
Answer: 3x + 6 = 3x + 6
3x - 3x = 6 - 6
0 = 0
infinitely many solutions.
Step-by-step explanation: Little tip....if ur equation ends up like this : 0 = 0, or 2 = 2...or anything equal, it will have infinite solutions. If ur equation ends up like this : 2 = 4, or 5 = 7...or anything unequal, then it will have no solutions. If ur equation ends up like this : y = 2, or x = 10....then there will be one solution.
HELPPPPPPPP SOMEONE GIVE ME THE RIGHT ANSWER
In which quadrant does θ lie if the following statements are true:
cosθ<0 and cscθ>0
Given:
[tex]\cos\theta <0[/tex] and [tex]\csc\theta >0[/tex]
To find:
The quadrant in which θ lie if the given statements are true.
Solution:
We know that,
All trigonometric ratios are positive in I quadrant.
Only sine and cosecant are positive in II quadrant and others are negative.
Only tangent and cotangent are positive in III quadrant and others are negative.
Only cosine and secant are positive in IV quadrant and others are negative.
We have,
[tex]\cos\theta <0[/tex] and [tex]\csc\theta >0[/tex]
Here, cosine is negative and cosecant is positive. It is only possible when [tex]\theta [/tex] lies in II quadrant.
Therefore, the [tex]\theta [/tex] lies in II quadrant.
PLEASE HELP ASAP HURRY
Micah goes miniature golfing. The total amount Clara pays for admission and the number of rounds that she golfs, T, can be calculated by the equation
T = 5.25n + 8.50, where n is the number of rounds that Micah golfs.
What does the number 8.50 represent in the equation?
Answer: The amount she pays for admission
Step-by-step explanation:
Answer:
The admission cost.
Step-by-step explanation:
It costs $5.25 to play each round.
You don't have to re-enter the park to play the games, but you do have to pay for more rounds.
1. Calculate the unit rate if you are
shopping and you buy 10 pounds of
bananas for $8.50. What is the
cost per pound?
The cost per pound of bananas is $0.85.
To calculate the unit rate or cost per pound, we divide the total cost by the number of pounds.
You purchased 10 pounds of bananas for $8.50.
To find the cost per pound, we divide the total cost by the number of pounds:
Cost per pound = Total cost / Number of pounds
The total cost is $8.50 and the number of pounds is 10. So we can calculate the cost per pound as follows:
Cost per pound = $8.50 / 10 pounds
To perform the division, we divide the numerator ($8.50) by the denominator (10 pounds):
Cost per pound = $0.85
This means that for every pound of bananas you purchase, it will cost you $0.85.
The unit rate allows you to compare the cost of different quantities.
It tells you that if you want to know the cost of a certain number of pounds of bananas, you can multiply that number by $0.85 to find the total cost.
It's important to note that unit rates are helpful for comparing prices and making informed purchasing decisions, especially when dealing with different quantities or sizes of items.
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A survey of 100 high school students provided this frequency table on how students get to school: Drive to Take the Grade Walk School bus Sophomore 2. 25 3 Junior 13 20 2. Senior 25 5 5 Find the probability that a randomly selected student drives to school.
The probability that a randomly selected student drives to school is [tex]\frac{2}{5}[/tex]
It is correct for Acellus 100%
Explanation: Trust me lol
2/5 is the probability that a randomly selected student drives to school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that A survey of 100 high school students provided this frequency table on how students get to school.
The total number of students drive to school are 2+13+25
40 students drive to school.
The total number of students in school is 100.
We need to find the probability that a randomly selected student drives to school.
P(Drive to school)=40/100
=2/5
Hence, 2/5 is the probability that a randomly selected student drives to school.
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Hannah is recovering hundreds of treasure chest from an ancient shipwreck she is able to recover a test every four hours to complete the table using equivalent ratios
A table of equivalent ratios for the number of treasure chests and hours that Hannah recovered is as follows:
Treasure chests Hours
8 4
12 6
10 5
What is a proportional relationship?In order to have a proportional relationship and equivalent ratios, the variables x and y must have the same constant of proportionality.
Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 4/8
Constant of proportionality (k) = 0.5.
When hours y = 6, the number of treasure chests x is given by:
x = y/k
x = 6/0.5
x = 12.
When treasure chests x = 10, the number of hours y is given by:
y = kx
y = 0.5(10)
y = 5.
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Complete Question:
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours.
Complete the table using equivalent ratios. Select all the answers that will fill the table.
Si 20 000 se invierten al 9% anual capitalizable semestralmente encuentra el minimo numero de semestres requeridos para que el capital exceda 25000 30000 40000
Answer:
Los resultados están abajo.
Step-by-step explanation:
Dada la siguiente información:
Inversión inicial (VP)= $20.000
Tsa de interés (i)= 0,09/2= 0,045
Para calcular la cantidad de semestres necesarios (n) para lograr el valor requerido, debemos usar la siguiente formula:
n= ln(VF/VP) / ln(1+i)
25.000:
n= ln(25.000/20.000) / ln(1,045)
n= 5,07 semestres
30.000:
n= ln(30000/20.000) / ln(1,045)
n= 9,21 semestres
40.000:
n= ln(40.000/20.000) / ln(1,045)
n= 15,75 semestres
Part A
What is the volume of the gift shown?
Part B
Which equation was used to find the volume in Part A?
Answer:
Part A:
1120 inches cubed
Part B:
Base X Height
Step-by-step explanation:
help help help help help help help help PLEASE
In this course, we'll begin to
explore "opposite" function types. For example, think about
a quadratic function and its key features. What key features do you think its opposite
function will have? Why?
Answer:
Some key features quadratic functions have are:
Axis of symmetryx and y-interceptsZeroesvertexPoint symmetric to y-interceptStep-by-step explanation:
Answer: You could say something like this ''I think the opposite function of a quadratic function would have an inverted parabolic curve that always opens upwards, since a quadratic function can open upwards or downwards. It would also have a single maximum or minimum point, depending on the coefficient of the quadratic term, since a quadratic function has a single vertex. Finally, the opposite function would have either no real roots or two real roots with opposite signs, depending on the discriminant, since a quadratic function can have either two distinct real roots or two complex roots.''
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what is the area of the figure
Answer:
Step-by-step explanation:
The figure is a combination of a triangle and a rectangle
Area of rectangle = bh = 15(5) = 75
We have no way of finding the height of the triangle, unless there is some information that I don't see with regard to the figure.
Equivalent fractions for 1 3/4 and 1 4/5 using 20 as the common denominator
Answer:
35/20 and 36/20
Step-by-step explanation:
The radius of a circle is 4 centimeters. What is the circle's area? Use 3.14 for .
Answer:
A = 50.2 cm^2
Step-by-step explanation:
If the radius is r = 4 cm, the area of the circle is A = (3.14)(4 cm)^2, or
A = 50.2 cm^2
Write the following phrase as an algebraic expression. Use b for the unknown. A number split into 18 equal parts
Answer:
b/18
Step-by-step explanation:
HELP me please
It is due in 10 minutes
Answer:
C, 8 hours
Why?
Because adding the given areas are 2 + 3 + 1 = 6 hours
Now we know that a given fact is that there are 60 minutes in 1 hour.
Let's add the minutes first, 45 + 45 + 30 = 120
120 divided by 60 = 2 hours
Now let's add ALL the areas:
6 hours + 2 hour = 8 hours.
Jamie is trying to work out the surface area of the cuboid below. Spot any mistakes and write the correct answer.
Step-by-step explanation:
The dimensions of the cuboid are 5 cm, 7 cm and 9 cm.
The formula for the surface area of the cuboid is as follows :
[tex]A=2(lb+bh+hl)[/tex]
We have,
b = 9 cm, l = 7 cm and h = 5 cm
So,
[tex]A=2(9\times 7+9\times 5+7\times 5)\\\\A=2\times 143\\\\A=286\ cm^2[/tex]
Jamie forgets to multiply 143 by 2 as the formula for surface area contains 2 as well.
What is the y value where the hole is located in this equation. Show your work. f(x)= (4x-4) x (x-12)/(x-12)
Answer:
y = 44
Step-by-step explanation:
Given
f(x) = [tex]\frac{(4x-4)(x-12)}{x-12}[/tex] ← cancel the factor (x - 12)
= 4x-4
Removing this factor creates a hole at
x - 12 = 0 ⇒ x = 12
Substitute x = 12 into the simplified f(x)
y = 4(12) - 4 = 48 - 4 = 44
That is hole at (12, 44 )
4t+6 evaluate the expression if t=1
Answer:
10
Step-by-step explanation:
You can replace t in the equation with 1 like so 4(1)+6 using pemdas first you'd multiply 4 by 1 which is 4 and then add 6 which is 10.
NEED HELP ASAP.,
WILL GIVE BRAINLIEST
Answer:
95/10 or 9 5/10 or 9 1/2
Step-by-step explanation:
do the first option since itll b easier to type ig lol
The probability of rolling a 4 on a number cube is 1/6. If you were to roll the cube 48 times, you would expect to get a 4 around 8 times
Answer: If you were to roll the cube 48 times, you would expect to get a 4 around 8 times.
Step-by-step explanation:
(1/6 - 48 = 8).
Answer:
yes
Step-by-step explanation:
1/6 X 48 times =8 times
It takes a Kailtyn 1/8 of an hour to make a pair of earrings. How many pairs can Kailtyn make in 3 3/8 hours?
Answer:
I think the answer is 27 im not sure although i hope it is correct
Step-by-step explanation:
Good luck and have a good day
ractical Work/Activities A problem on the purification of the impurities present in the pond is given by t 8100p C(p) = 100-P where p is the percentage impurities present in the polluted water and C(p), the pr Rs. needed to remove p% of the impurities. a) Find the cost of removing 90% of the impurities. lim Find C(p). What does the value mean? p→19 Is it possible to purify completely? Give reason. b) c) O oved by Curriculum Development Centre (CDC), Nepal
Therefore , the solution of the given problem of ratio comes out to be
lim C(p) as p->19 = 152900.
Define ratio.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Here,
a) To find the cost of removing 90% of the impurities, we can substitute 90 for p in the equation:
C(p) = 8100p / (100-p)
C(90) = 8100(90) / (100-90)
C(90) = 729000
So the cost of removing 90% of the impurities is Rs. 729000.
b) To find the limit of C(p) as p approaches 19, we can substitute 19 for p in the equation:
lim C(p) as p->19 = 8100(19) / (100-19)
lim C(p) as p->19 = 152900
The value of the limit of C(p) as p approaches 19 means that as the percentage of impurities approaches 19, the cost of purification approaches Rs. 152900.
c) It is not possible to purify completely as the percentage of impurities approaches 100. It's because as the percentage of impurities becomes closer to 100, the denominator of the fraction becomes smaller, thus the value of the cost of purification becomes larger, and it is impossible to pay an infinite amount of money.
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If triangle NPZ ~ triangle HBZ find the measure of angle B.
Please show the steps
The measure of angle B is m ∠B = 107°.
What is similar triangles?
Triangles that are similar in shape but differ in size are known as similar triangles. Examples of related objects include all equilateral triangles and squares with any side length. To put it another way, if two triangles are similar, then their corresponding angles and sides are congruent and equal in size.
Given: Δ NPZ ~ Δ HBZ
As the triangles NPZ and triangle HBZ are similar that means the corresponding angles are congruent.
⇒ ∠N = ∠H, ∠P = ∠B, ∠Z = ∠Z
Since,
∠P = (8x - 37)°, ∠Z = 42°, ∠H = (2x - 5)°
⇒ 2x - 5 = ∠H, ∠B = 8x - 37, Z = 42°
Since, the sum of three angles of triangle is 180°.
⇒ ∠H + ∠B + ∠Z = 180°
(2x - 5)° + (8x - 37)° + 42° = 180°
10x - 42° + 42° = 180°
10x = 180°
x = 18°
So,
∠B = (8x - 37)° = 8(18) - 37 = 144 - 37 = 107°.
Hence, the measure of angle B is m ∠B = 107°.
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