Answer:
1. Yes
2. Yes
Step-by-step explanation:
1. Lets test Lisa's different solution. Lets times 5 to the first equation:
[tex]5\cdot{x}+10\cdot{y}=35[/tex]
and 2 times the second equation:
[tex]4\cdot{x}-10\cdot{y}=10[/tex]
lets add the two equations:
[tex]9\cdot{x}=45[/tex]
[tex]x=5[/tex]
The second method is multiplying the first equation by -2:
[tex]-2\cdot{x}-4\cdot{y}=-14[/tex]
and add the second equation:
[tex]-9\cdot{y}=-9[/tex]
[tex]y=1[tex]
Substitute into equation 1:
[tex]x+2\cdot{1}=7[/tex]
[tex]x=5[/tex]
The answer to Lisa's question is yes she wull get the same solution if she uses a different method.
2. Yes, The answer would change if the same amout of x and y values are the same and therefore we cannot solve for x and y. If there was infinitely many solutions we would have quadratic equations.
Almost done. Math has been my worst nightmare since 6th grade.
Assume that 300300 births are randomly selected and 144144 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Which equation is related to this equation? b + 17 = 52
a. b = 52 + 17
b. b = 52 ∙ 17
c. b = 52 ÷ 17
d. b = 52 – 17 question resources?
help please with b. and d.
The sum of the digits of a two-digit number is 6. when the digits are reversed, the number decreased by 18. find the original number.
A paint store sells exterior paint for $28.25 a gallon and paint rollers for $6.25 each. Write an equation in standard form for the number of gallons p of paint and rollers r that a customer could buy with $145.
Which conditional statement is false?
A. If a figure has four congruent angles, then it is a square.
B. If two figures are congruent, then they have equal perimeters.
C. If two figures are congruent, then they have equal side and angle measurements.
The statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).
What is the conditional statement?A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).
Let us consider the example to understand the parts of a conditional statement.
Conditional Statement: If today is Friday, then yesterday was Thursday.
Hypothesis: "If today is Friday."
In the given problem,
Conditional Statement: If a figure has four congruent angles, then it is a square
Hypothesis: "If a figure has four congruent angles"
One example of a counterexample is a rectangle, which although not a square, has four congruent angles.
Hence, the statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).
Learn more about the conditional statement here:
brainly.com/question/7066208
#SPJ2
A 12 ft rope cut into two pieces so that one piece is 3 ft less than twice the length if the other piece. How long is each piece?
Solve for x. 5.6x = 39.76
Does there exist a function that is not a relation
Every function is a kind of relation by definition. A function is a relation where every input is paired with exactly one output. Therefore, there doesn't exist a function that isn't a relation.
Explanation:In mathematics, every function is a relation, but not every relation is a function. A function is a special type of relation where every input (or x-value) is paired with exactly one output (or y-value). This is often referred to as the vertical line test. If any vertical line intersect the graph of the relation at more than one point, then it is not a function. Therefore, there does not exist a function that is not a relation, because by definition, a function is always a relation.
Learn more about Function and Relation here:https://brainly.com/question/2253924
#SPJ12
(01.05) what is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)? (1 point) y = 6x − 14 y = −6x + 14 y = −6x − 14 y = 6x + 14
Answer:
The answer is [tex]y=6x-14[/tex]
Step-by-step explanation:
In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.
[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]
For m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, first we have to define every variable and then we replace them into the formula:
[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]
It doesn't matter the order of how you define the points. The result will be the same.
Then:
[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]
Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]
Fat harry got on the scale at 7:00
a.m. and weighed 295 pounds. at 7:02
a.m. he again got on the scale and weighed 200 pounds. at 7:04 he weighed 499 pounds. the measurement of harry's weight has problems with
Answer:
Harry's weight fluctuated significantly within minutes, indicating a potential issue with the scale's accuracy or calibration. He should address the problem to ensure reliable weight measurements.
Explanation:
It seems like there might be a problem with the scale's accuracy or consistency. Harry's weight fluctuated significantly within just a few minutes, which is highly unlikely under normal circumstances. Such drastic changes in weight in such a short amount of time are not physically possible, indicating a potential issue with the scale's functionality or calibration. It's possible that the scale is malfunctioning, providing inaccurate readings, or there may be external factors affecting the measurements, such as an unstable surface or improper usage of the scale. It's important for Harry to address this issue with the scale and possibly seek assistance from a professional to ensure accurate and reliable weight measurements.
Find three consecutive odd integers such that the sum of the first, two time the second and three times the third is 46
To find the three consecutive odd integers that satisfy the given conditions, we set up an equation x + 2(x + 2) + 3(x + 4) = 46, solved it to find x = 5, and then found the integers as 5, 7, and 9.
We are given a problem to find three consecutive odd integers where the sum of the first, two times the second, and three times the third equals 46. Let's label our integers as x (the first), x+2 (the second), and x+4 (the third), as the differences between odd integers are 2.
The equation, based on the problem statement, is:
x + 2(x + 2) + 3(x + 4) = 46
Distribute and combine like terms:
x + 2x + 4 + 3x + 12 = 46
6x + 16 = 46
Subtract 16 from both sides:
6x = 30
Divide both sides by 6:
x = 5
Therefore, the three consecutive odd integers are:
x = 5 (first integer),
x + 2 = 7 (second integer),
x + 4 = 9 (third integer).
Checking the solution: 5 + 2(7) + 3(9) = 5 + 14 + 27 = 46, which confirms our answer is correct.
Find the eleventh term of the last term of A.P.
27,23,19,.....-65.
Amy is a software saleswoman. Her base salary is 2300, and she makes and an additional $80 for every copy of English is fun she sells. Let p represent her total pay ( in dollars ), and let N represent the number of copies of English is fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 21 copies of English is fun
Convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar 5/frac{7}{10}
Prove that if you pick three socks from a from a drawer containing only black or blue socks that you must get a pair or either black or blue.
Larry has $20 to spend at the store. He plans to purchase five items that cost $5.79, $7.63, $3.46, $2.99, and $3.65. Larry estimated his total cost to make sure he has enough money for his purchases. Is his estimate accurate? Explain why or why not. $5 + $7 + $3 + $2 + $3 = $20
Answer:
Larry did not round correctly. He used front-end estimation, but he did not round up when appropriate. His estimate will be lower than the amount of money he needs.
Step-by-step explanation:
yeah
Larry's estimation is incorrect.
The total cost of the items that Larry bought will be:
= $5.79 + $7.63 + $3.46 + $2.99 + $3.65
= $23.65
Since Larry estimated his total cost to be $20 while the correct answer is $23.65, then his estimate is wrong.
Read related link on:
https://brainly.com/question/13183770
Given below is the odd-number function. Which of the following are equal to O(9)? Check all that apply.
O(n) = 2n - 1
A. The ninth odd number
B. O(8) + 2
C. 9
D. 17
simplify -52 + 8|-1| + (-3)
Death Valley, California has the lowest elevation in the United States. It's elevation is 282 feet below sea level. Mount McKinley Alaska has the highest elevation in the United States. It's elevation is 20,320 feet above sea level. Use integers to describe these two locations in the United States.
Answer:
Death Valley's elevation is -282 feet and Mount McKinley Alaska elevation is 20,320 feet
Step-by-step explanation:
Consider the provided information.
Integers are the number that do not contain any decimal or fraction. They contains positive counting number, negative counting numbers and zero.
For example:{...-3,-2,-1,0,1,2,3...}
It is given that Death Valley, California has the lowest elevation in the United States. It's elevation is 282 feet below sea level.
Mount McKinley Alaska has the highest elevation in the United States. It's elevation is 20,320 feet above sea level.
We need to use integers to describe these two locations in the United States.
Both the statements are related with sea level.
Let say the sea level is at the zero, if a point is below sea level then we will indicate it by placing a negative sign in the front of the number and if it is above the sea level then we will indicate it by placing a positive sign or no sign in the front of the number.
Now consider the provided information.
Death Valley's elevation is 282 feet below sea level.
Which can be written as: -282 Feet (In integer)
Mount McKinley Alaska elevation is 20,320 feet above sea level.
Which can be written as: 20,320 Feet (In integer)
1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?
Write the standard equation of the line that passes through the point (-1,12) and has the same slope as a vertical line
1/6 ÷4/7=?please help I don't understand this
Jacob can run a 6 minute mile. If he runs at that pace for 25 minutes,how many miles can Jacob run?
A builder could get 6 sheets of shreetrock for 9$ if he bought 12 sheets, how much money would we have spent
With the given ratio of $9 for 6 sheets of sheetrock, the builder would spend $18 if he bought 12 sheets of sheetrock.
Explanation:This is a question about simple ratios in mathematics. In the given situation, the ratio of the price is $9 for 6 sheets of sheetrock. To calculate the cost of 12 sheets, we simply need to multiply the price for 6 sheets by 2.
Alternatively, you could set up a proportion to solve this problem: 9 dollars / 6 sheets = x dollars / 12 sheets. After solving for x, we get x = 18 dollars.
So, if the builder bought 12 sheets of sheetrock, he would have spent $18.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ3
Find k so that the three equations 3x-y=2, 2x+8=3y, and y=kx have a common solution
Jack leaves the caves and runs directly north for 9 miles. He then turns and runs 12 miles east. How many miles is he from the caves?
A small plane traveled from city a to city b, averaging 169169 miles per hour. the trip took twotwo hours. what is the distance from city a to city b?
If you know the pythagorean theorem, then you can always find the distance between two points in the plane.
Answer:
The Answer Is True
Step-by-step explanation: