Answer:
1/2
Step-by-step explanation:
on saturday, a local hamburger shop sold a combined total of 432 \hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on saturday?on saturday, a local hamburger shop sold a combined total of hamburgers and cheeseburgers. the number of cheeseburgers sold was three times the number of hamburgers sold. how many hamburgers were sold on saturday?
Solving the problem using basic algebra, the total number of hamburgers that were sold on Saturday can be obtained as 108 hamburgers.
The word problem that has been formulated in the question falls under the basic discipline of mathematics known as algebra.
Algebra is a branch of mathematics that deals with mathematical variables and the rules for manipulating these variables to solve diverse mathematical problems.
Let the total number of hamburgers sold be x.
In the question, it is given that the total number of cheeseburgers sold would be 3 times the number of hamburgers sold. Then the number of cheeseburgers sold would be 3x.
It is also given that the total number of hamburgers and cheeseburgers sold together is 432.
Using these data, the equation can be formulated as x + 3x = 432.
As x and 3x are variables of the same nature, which is x, they can be added to obtain the answer as 4x, hence the equation becomes
4x = 432. Solving for x, we get
x = 432 ÷ 4
x = 108.
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select all the equations that have the same solution as the equation 3x - 12 = 24
A: 15x - 60 =120
B: 3x=12
C: 3x = 36
D: x - 4 = 8
E: 12x - 12 =24
The equations that have the same solutions are
15x - 60 = 120
3x = 36
x - 4 = 8
Options A, B, and D
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
3x - 12 = 24
Add 12 on both sides.
3x = 24 + 12
3x = 36
Divide both sides by 3.
x = 12
The solution for 3x - 12 = 24 is 12.
Now,
15x - 60 = 120
15x = 120 + 60
15x = 180
x = 180/15
x = 12 _____(1)
3x = 12
x = 12/3
x = 4 ______(2)
3x = 36
x = 36/3
x = 12 ______(3)
x - 4 = 8
x = 8 + 4
x = 12 ______(4)
12x - 12 = 24
12x = 24 + 12
12x = 36
x = 36/2
x = 19 ______(5)
From (1), (2), (3), (4), and (5) we see that,
15x - 60 =120, 3x = 36, and x - 4 = 8 has the same solution as 3x - 12 = 24.
Thus,
The equations that have the same solutions are
15x - 60 = 120
3x = 36
x - 4 = 8
Options A, B, and D
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barry wrote 6 different numbers, one on each side of 3 cards, and laid the cards on a table, as shown. the sums of the two numbers on each of the three cards are equal. the three numbers on the hidden sides are prime numbers. what is the average of the hidden prime numbers?
The average of the three hidden prime numbers is 5, as the sum of any two of the numbers is equal to 10, and since all three numbers are prime, the only possible values are 3, 5, and 7.
3 + 5 + 7 = 15
15/3 = 5
The average of the three hidden prime numbers is 5. This means that the sum of any two of the numbers on the cards must be equal to 10. Since all three numbers are prime,as the sum of any two of the numbers is equal to 10 the only possible values are 3, 5, and 7. Therefore, the three numbers on the hidden sides of the cards are 3, 5, and 7. To calculate the average, we add the three values together and divide by three. 3 + 5 + 7 = 15, and 15 divided by 3 is 5. Therefore, the average of the hidden prime numbers is 5.
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Javier had $305 in his bank account. His bank charges a fee of $7.50 each month that a balance is below $500.
If he makes no other deposits or withdrawals, how much money is in Javier’s account at the end of three months?
Enter your answer in the box.
Answer:
Javier’s account has $282.5 at the end of the three months.
Step-by-step explanation:
final = initial - 7.5x
initial is the initial amount of money in the account, so 305. x is the number of months that have passed. Since Javier doesn't deposit any more money durning that time, the amount in the bank will always be less then 500 we don't have to consider anything else. We just sub initial with 305 and x ( the number of months) with 3 to get the answer. So,
final = 305 - 7.5 * 3 = 282.5
The graphs of f and g are given. (a) State the values of f(0) and g(2). f(0) = g(2) = (b) For what values of x is f(x) = g(x)? (Enter your answers as a comma-separated list.) x = (c) Estimate the solutions of the equation f(x) = −1. (Enter your answers as a comma-separated list.) x = (d) On what interval is f decreasing? (Enter your answer using interval notation.) (e) State the domain and range of f. (Enter your answers in interval notation.) domain range (f) State the domain and range of g. (Enter your answers in interval notation.) domain range
(a) The values of f(0) = 3 and g(2) = 2.
(b) The values of x for which f(x) = g(x) are -2, 2.
(c) The solutions of the equation f(x) = −1 are x = -3, 4.
(d) The interval on which f is decreasing is [0, 4].
(e) The domain and range of f are:
domain = [-4, 4].
range = [-2, 3].
(f) The domain and range of g are:
domain = [-4, 3].
range = [-0.5, 4].
How to determine the key features of the graph?In Mathematics and Geometry, a function is an equation which defines and represents the relationship that exist between two or more variables.
Part a.
By critically observing the graph of f(x) and g(x) shown in the image attached below, the corresponding output values are as follows:
f(0) = 3.
g(2) = 2.
Part b.
The values of x for which f(x) is equal to g(x) are x = -2 and x = 2;
f(-2) = g(-2) = 1.
f(2) = g(2) = 2.
Part c.
The estimated solutions of the equation f(x) = −1 are as follows;
f(-3) = -1
f(4) = -1
Therefore, x = -3, 4.
Part d.
The function f(x) is decreasing over this interval [0, 4].
Part e.
By critically observing the graph of f(x) shown in the image attached below, we can logically deduce the following domain and range:
domain = [-4, 4].
range = [-2, 3].
Part f.
By critically observing the graph of g(x) shown in the image attached below, we can logically deduce the following domain and range:
domain = [-4, 3].
range = [-0.5, 4].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A shuffleboard court forms three similar triangles in which ∠AHB ⊕ ∠AGC ⊕ ∠AFD . For the given sides or angles, find the corresponding side(s) or angle(s) that are congruent .
∠ A
In a shuffleboard court where three similar triangles are formed, the corresponding angle that is congruent to angle A is angle H.
In the given information, it is stated that the shuffleboard court forms three similar triangles. When triangles are similar, it means that their corresponding angles are congruent, and their corresponding sides are in proportion.
Among the given angles and sides, we are asked to find the corresponding side or angle that is congruent to angle A. Since the triangles are similar, we can conclude that the corresponding angle to angle A in another triangle will also be congruent. In this case, the corresponding angle that is congruent to angle A is angle H.
Therefore, angle A and angle H are congruent in the similar triangles formed by the shuffleboard court.
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Develop a full regression model based on all the predictor variables indicated. Choose the right model equation below
A. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms) B. Asking Price = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms)
C. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+0.9677*(Bathrooms) D. Assessed Value = 244.4325 + 43.5532*(Size)+ 8.1910*(Bedrooms)+ 0.9677*(Bathrooms)
Q2. A review of the t-test on the significance of individual independent variable suggests that, based on the p-values
A. Only one of the independent variable possibly needs to be retained B. Two of the independent variables possibly needs to be retained C. None of the independent variables could be retained D. Three of the independent variables could be retained
Q3:
Choose the right option below. Based on the full regression model involving all of the independent variables
A. VIF for Size = 2.336, VIF for Fireplace = 1.121, VIF for bedrooms = 1.979
B. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885
C. VIF for Fireplace = 1.1873, VIF for bedrooms = 1.9885
D. None of the above
Q4: Based on VIF values, there is concern for collinearity in this dataset
A. True B. False
Q5:
Based on the normal probability plot, the normality assumption seems to be met
A. True
B. False
Q:7: Based on conducting residual analysis the model seems
Group of answer choices
Adequate
Inadequate
Violates Independence Assumption
Not enough information to assess the LINE assumptions
Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.
Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.
Q.4: Based on VIF values, there is concern for collinearity in this dataset. True
Q5: Based on the normal probability plot, the normality assumption seems to be met. True
Q7: Based on conducting residual analysis the model seems. Adequate.
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an architect sketches the plant plan for a park in graph paper, where each unit represents1 foot. the location of a fountain at the park is modeled by the equation of a circle, as shown. (x-13)^2+ (y+20)^2
=36 what is the diameter, in feet, of the fountain?
The length of the diameter of circle is 12 feet .
Given equation of circle,
(x - 13)² + (y + 20)² = 36
Now let us see the standard form of equation of circle,
Since, the equation of a circle is,
\({(x-h)^2} + (y - h)^2 = r^2\)
Where,
(h, k) is the center of the circle,
r = radius of the circle,
Comparing it with the standard form the values of h, k , r are:
Here,
(h, k) = (13, -20)
r² = 36
r = 6 units,
Now,
Diameter is double than that of radius.
So,
d = 2r
d = 12 feet
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What is the minimum price of the Bitcoin for the day?
A) $10,000
B) $20,000
C) $30,000
D) $40,000
Answer: 10,000
Step-by-step explanation:
At the start of the day I think it was 20,000 but then it went down to 10,000 and they're asking for the minimum price of the day so 10,000 probably
Melissa can hit a target with a softball 9 times out of 15 throws. Based in
this rate, what is the probability of her hitting the target on the next
throw?*
Answer:The coach stands approximately 15 feet in front of the players and throws a ground ... At the opportune time, the coach throws a softball, "leading" the runner with the ... This drill can also be practiced with infielders at their respective bases with ... toward the target), the opened shoulders, and the ball in the throwing hand.
Missing: Melissa 9
Step-by-step explanation:
Explain how please I’m not sure
Answer:
164 degrees
Step-by-step explanation:
The measure of the individual internal angle in a polygon is;
(n-2)180/n
n = 22
So we have;
(22-2)180/22
= (20 * 180)/22
= 163.64 degrees
To the nearest whole number, this is 164
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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Lines a and b are parallel.
What is the measure of angle b?
B =
Answer:
b = 79°
Step-by-step explanation:
∠ b and 79° are alternate exterior angles and are congruent, thus
∠ b = 79°
Mariela bought gas for her car. Gas costs $2.12 per gallon, and
Mariela bought 23.5 gallons. How much did Mariela spend on gas?
Round to the nearest cent.
Answer:
$49.82
Step-by-step explanation:
Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas
The answers are
A. 1/3 cm/s
B. 1/2 cm/s
C. 2/3 cm/s
D. 3/2 cm/s
Please help!!
Answer:C
Step-by-step explanation:
C. 2/3 cm/s
Mr. Thakuri deposited Rs.2,00,000 in her fixed account at a bank for 3 years. The bank pays her the simple interest at the rate of 10℅ p.a. How much net interest would she get if 5 % of interest in charged as income tax?
The net interest she would get on the amount deposited is $57,000.
What is the net interest?The net interest is the total interest earned less tax.
Interest = amount deposited x simple interest x time
200,000 x 0.1 x 3 = $60,000
Net interest = $60,000 x (1 - 0.05)
$60,000 x 0.95
$57,000
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Ill mark you brainlist plz help if you put something random I will report you! I
Answer:
x = 0
y = 2
Step-by-step explanation:
A cookie factory uses 1/2 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many batches of cookies did the factory make?
What is the quotient of the given values to the correct level of precision? 16.017 in. ÷ 0.370 in. 43 43.289 43.29 43.3
Answer:43.289
Step-by-step explana
3 x - 3y = -4
x - y = -3
pls help
There is no point (x, y) that satisfies both given equations simultaneously.
The system of equations is given as follows:
3x - 3y = -4
x - y = -3
Let's solve the second equation for x in terms of y:
x - y = -3
x = y - 3
Substitute x = y - 3 into the first equation:
3x - 3y = -4
3(y - 3) - 3y = -4
3y - 9 - 3y = -4
-9 = 5
The last step is not true, so the system has no solution.
Therefore, there is no solution to the system of equations 3x - 3y = -4 and x - y = -3.
This means that there is no point (x, y) that satisfies both equations simultaneously.
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The complete question is as follows:
Solve this system of equations:
3x - 3y = -4
x - y = -3
pls help math scientific notation (view photo)
Just ignore this answer, its incorrect
*edited*
create a class named pet (similar to the one discussed in this chapter), which has the following properties:
The Java code that follows inserts the code into the main function so that the result may be obtained. It incorporated the appropriate questions related to pet so that users could choose the data they should fill in.
How to name a class?Proper class naming and naming practises provide the following advantages:
Even if you aren't the person who developed it or if it was written a long time ago, you know what to anticipate from a specific class without looking at code or documentation.
A codebase is simple to find and traverse.
Speaking with your team about issues or improvements is simpler.
It facilitates newbie onboarding and reduces confusion.
A correctly utilised MVP with a defined name standard is generally a nice illustration of working name expectations. You would anticipate that a class named UseCase/Interactor would provide business logic.
How to solve?
import java.util.Scanner;
public class PetInformation {
public static void main(String[] args) {
Scanner scnr = new Scanner(System.in);
String petName, dogName;
String dogBreed = "null";
int petAge, dogAge;
Pet myPet = new Pet();
System.out.println("Enter Pet Name:");
petName = scnr.nextLine();
System.out.println("Enter Pet Age:");
petAge = scnr.nextInt();
Dog myDog = new Dog();
System.out.println("Enter Dog Name:");
dogName = scnr.next();
System.out.println("Enter Dog Age:");
dogAge = scnr.nextInt();
scnr.nextLine();
System.out.println("Enter Dog Breed:");
dogBreed = scnr.nextLine();
System.out.println(" ");
myPet.setName(petName);
myPet.setAge(petAge);
myPet.printInfo();
myDog.setName(dogName);
myDog.setAge(dogAge);
myDog.setBreed(dogBreed);
myDog.printInfo();
System.out.println(" Breed: " + myDog.getBreed());
}
}
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Which of the following theorems verifies that ADEFASTU?
A. HL
B. LA
C. HA
D. LL-
D
SUBM
In respect to the given right triangle, LA verifies that ΔDEF ≅ ΔSTU (option B).
How to know which theorems verifies the right triangle?In the context of the congruence of two right triangles, when the longest side (hypotenuse) and one of the other sides of a right-angled triangle have identical lengths to the longest side (hypotenuse) and one of the other sides of a second right-angled triangle, it can be concluded that the two right triangles are congruent.
In these right triangles given, ∠D = ∠S and ∠F = ∠U.
Therefore, third angle of each of these triangles are equal to option B (LA) theorem.
Therefore, we have that Leg and angle (LA) verifies that ΔDEF ≅ ΔSTU.
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please help asap !!!!
Answer:
41.5
Step-by-step explanation
The equation is
X×65/100=27
x=27×100/65
x=27×20/13
x=540/13
x=41.5
determine the quotient of 1 2/3 ÷ 4/5
Answer:
The desired quotient is 25/12.
Step-by-step explanation:
Rewrite 1 2/3 as an improper fraction: 5/3.
Then divide this 5/3 by 4/5:
5
------ ÷ 4/5
3
It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):
5 5 25
----- * ----- = ------
3 4 12
Find the volume of this cube
Answer:
Step-by-step explanation:
This is a cube so the formula for the volume of a square is a³ = Volume
This means:
5³ = V
V = 125in³
Answer:
125 in^3
Step-by-step explanation:
b/c
v=L×w×h
V=5 in×5 in×5 in
v=125 in^3
What are the zeros of the function f(x) = (x-1)(x-4)
Answer:
x=1 and x=4
Step-by-step explanation:
If you put each pair equal to 0, then you solve for x, you get these answers
Please answer it now in two minutes
Answer:
cot B = 48/55
Step-by-step explanation:
cot B = 48/55
I can bake 3/4 of a cake in 5 minutes. How much of the cake canlbake in 1 minute?
Answer:
3/20 cake in 1 minute
Step-by-step explanation:
"3/4 of a cake in 5 minutes" is a verbal equation. We can divide both sides (that is, 3/4, 5 min) by 5 to determine the number of cakes I can bake in 1 minute:
3 5 min
-------- cake in -----------
4(5) 5
resulting in 3/20 cake in 1 minute.
What is the value of 6(9+2)/h when g = 6 and h = 4?
Answer: 12
Plug 6 and 4 into the problem-
6(6 + 2)/4
6(8)/4
48/4 = 12
Hey there!
6(g + 2) / h
= 6(6 + 2) / 4
= 6(8) / 4
= 8(6) / 4
= 8 + 8 + 8 + 8 + 8 + 8 / 4
= 16 + 16 + 16 / 4
= 32 + 16 / 4
= 48 / 4
= 48 ÷ 4 / 4 ÷ 4
= 12 / 1
= 12 ÷ 1
= 12
Therefore, your answer is: 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)