The larger of two numbers is 3 more than twice the smaller. if the twice the larger is decreased by 5 times the smaller the result is 0. find the two numbers
if I work z hours overtime, and my overtime wage is $25 per hour, what's my overtime pay?
Sarah is 50 years old. she is twice as old as her friend bill and bill is 5 times as old as his sister jane. jane's mom is 12 times older than jane. what is the age difference between jane's mom and sarah?
1. What is the product of -2.5 and 8.77 ?
2. Alexander purchased a computer on sale. The original price was $1,200. The sale price was 5/6 of the original price. How much did Alexander pay for the computer?
3. Mara finished 1/5 of her assignment on Saturday and 3/8 of her assignment on Sunday. What Fraction of her assignment did she complete on Saturday and Sunday?
How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?
Answer:
The length of minute hand is 9.5 cm
Step-by-step explanation:
We are given the minute hand move from 1:15 to 1:30
Time for 1:30 to 1:30 = 15 minutes
Tip of minute hand move 15 cm in 15 minutes.
In 60 minutes = 360°
In 1 minute = 6°
In 15 minutes = 90°
Formula: [tex]\theta=\dfrac{L}{r}[/tex]
[tex]\theta=90^\circ[/tex]
Now we change [tex]\theta=90^\circ[/tex] into radian
[tex]Radian=\dfrac{\pi}{180^\circ}\times 90^\circ=\dfrac{\pi}{2}[/tex]
L=15 cm
R = Length of minute hand.
[tex]\dfrac{\pi}{2}=\dfrac{15}{R}[/tex]
[tex]R=\dfrac{30}{\pi}\approx 9.5[/tex]
Hence, The length of minute hand is 9.5 cm
Solve for y.
4y = 144
What is the answer?
The solution is y = 36. Divide both sides of the equation by 4 to isolate y. To isolate y, we want to get rid of the coefficient 4 that is multiplying y.
We do this by dividing both sides of the equation by 4:
4y / 4 = 144 / 4
On the left side, the 4 in the numerator and the 4 in the denominator cancel out, leaving us with just y:
y = 144 / 4
Now, Simplify the equation.
Now, we can perform the division to find the value of y:
y = 36
The solution is y = 36.
To know more about solution:
https://brainly.com/question/30133561
#SPJ2
Which algebraic expression is a polynomial with a degree of 2?
a)4x3 − 2x
b10x2 −
c)8x3+ + 3
d)6x2 − 6x + 5
Answer:
D) 6x² − 6x + 5 has degree 2.
Step-by-step explanation:
Given : Polynomial .
To find : Which algebraic expression is a polynomial with a degree of 2.
Solution: We have given polynomial
Degree : The highest power of the polynomial is called degree.
We can see from the given polynomials two polynomial have 2 power
first is [tex]10x^{2} -\sqrt{x}[/tex].
Second is 6x² − 6x + 5.
But the first term have root so, it is not a polynomial.
So 6x² − 6x + 5 has degree 2
Therefore, D) 6x² − 6x + 5 has degree 2.
Max spent $53 and now has no money left. How much did he have before his purchase
An equation is formed when two equal expressions. The amount Max had before his purchase is $53.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Max spent $53 and now has no money left. Therefore, we can write the details as,
The amount spent on the purchase = $53
The amount left after purchase = $0
Let the amount before purchase be represented by M. Therefore, we can write the amount remaining after purchase as,
Amount before purchase - Amount spent on purchase = Amount remaining after purchase
M - $53 = $0
Adding 53 on both sides.
M - 53 + 53 = 53
M = 53
M = $53
Thus, the amount Max had before his purchase is $53.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
hard question ! Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her own expenses. After a month of driving from neighborhood to neighborhood and walking door-to-door, she figures out that her weekly earnings are approximately a linear function of the number of doors she knocks on. She writes the equation of the function like this: E(x) = 20x - 50, where x is the number of doors she knocks on during the week and E(x) is her earnings for the week in dollars. Which of the following are reasonable interpretations of the y-intercept of Jessica's function? Check all that apply.
A. Her expenses are $50 per week.
B. She can earn $20 per week even if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will lose $50.
D. She will lose $20 per week if she does not knock on any doors.
Answer:
A and C
Step-by-step explanation:
Just answered on apex
What is the area of a rectangle with vertices at (−3, −1) , (1, 3) , (3, 1) , and (−1, −3) ? Enter your answer in the box. Do not round any side lengths.
Use the graphs of f and g. Which describes the transformation from the graph of f to the graph of g?
f(x)=−4x+8f(x)=−4x+8
g(x)=−f(x)g(x)=−f(x)
1.horizontal translation 1 units left
2.vertical translation 4 units down
3.reflection in the x-axis
4.reflection in the y-axis
5.horizontal shrink by a factor of 1/4
6.horizontal stretch by a factor of 4
7.vertical shrink by a factor of 1/4
8.vertical stretch by a factor of 4
The transformation from the graph of [tex]\( f(x) = -4x + 8 \)[/tex] to [tex]\( g(x) = -f(x) \)[/tex] is a reflection in the x-axis.
The [tex]- \( f(x) = -4x + 8 \)[/tex] is a linear function with a negative coefficient in front of [tex]\( x \)[/tex], indicating a reflection in the x-axis.
When you negate f(x) to get g(x) = -f(x), it reflects the graph of f(x) in the x-axis.
So, the correct answer is: 3. Reflection in the x-axis
Please help me! And can you explain how you got that answer please?
Give an estimate for 42.8 x 13.6
Final answer:
A reasonable estimate for the product of 42.8 x 13.6 is 602, achieved by rounding each number to the nearest whole number and then multiplying them together.
Explanation:
To estimate the product of 42.8 x 13.6, we can round each number to the nearest whole number and then multiply. So, 42.8 is approximately 43, and 13.6 is approximately 14. Now, multiply these estimated values.
Estimated Calculation:
43 x 14 = 602
Therefore, a reasonable estimate for the product of 42.8 and 13.6 is 602. Remember, in estimation, we aim to simplify the calculation while still arriving at a number that's close to what the actual answer would be if we calculated it exactly.
find four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.
The required four consecutive even integers are given as 28, 30, 32, and 34.
Given that,
Four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let, the first term be a, and the common difference be d,
And series 2n, 2n + 2, 2n +4, 2n + 6
According to the question,
2[2n + 2n + 2] = 14 + 3[2n + 6]
8n + 4 = 14 + 6n + 18
2n = 28
n = 14
Series can be given as,
28, 30, 32, 34
Thus, the required four consecutive even integers are given as 28, 30, 32, and 34.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ2
What are the slope and the y-intercept of the line shown in the graph?
(A) y-intercept = 2 and slope = -3
(B) y-intercept = 2 and slope = 3
(C) y-intercept = 3 and slope = 2
(D) y-intercept = -3 and slope = 2
y-intercept = 2
slope = -3
let's take the 2 coordinates from the line.
(0, 2)(1, -1)
The y-intercept is when x = 0, When x = 0, y = 2 . This means the y-intercept is 2.
m = slope = -1 - 2 / 1 - 0 = -3 / 1 = -3
Read more: https://brainly.com/question/17821013?referrer=searchResults
The height of the closet is 96 inches, and aisha would like to have 4 rows of cube organizers. what is the most the height of each cube organizer can be
Answer: the most the height of each cube organizer can be 24 inches
Step-by-step explanation:
Since we have given that
Height of the closet = 96 inches
Number of rows of cube organizers = 4
Greatest height of each cube organizer can be is given by
[tex]\frac{96}{4}=24[/tex]
Hence, the most the height of each cube organizer can be 24 inches.
How to do this ?? How
Answer:
|ax - b| > c
The two bars | | is used to indicate the function absolute value.
Remember this definition:
| x | = - x if x < 0 and x if x > 0
So, | x | > c =>
x > c or x > - c
Therefore:
|ax - b| > c => ax - b > c or ax - b > - c
Step-by-step explanation:
Multiplication property: if angle j equals 30 then 2m angle j equals
HELLLLLPPP PLLEASEEE
Can somebody please help me?
PLEASE HELP!
Solve for t: A=P (1+rt)
JIMMMM! :)
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points)
Part B: Make tables to find the solution to 2^x = 4^x−2. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 2^x = 4^x−2 graphically? (2 points)
Is -2 less than 0???????????????????????????
Which type of triangle has one angle with a measurement greater than 90°? A. Obtuse B. Acute C. Isosceles D. Right
Eleven less than seven times a number is five more than six times the number.
The problem is a simple algebraic equation in the form 7x - 11 = 6x + 5. By rearranging and simplifying, we find the solution is x = 16.
Explanation:The question presents a mathematical statement that needs to be solved for the variable. Translating the words into an equation, we get: 7x - 11 = 6x + 5. This equation is saying seven times a number (we'll call it 'x') reduced by eleven is equal to six times that number increased by five.
To solve for 'x', first, rearrange the equation to get all 'x' terms on one side and constants on the other. By subtracting 6x from both sides, we get x - 11 = 5. Then, add 11 to both sides to isolate 'x': x = 16.
So, the number or 'x' that satisfies this equation is 16.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ12
x = 16.
To solve this, let the unknown number be represented by x.
We can set up the equation based on the given information:
7x - 11 = 6x + 5
Subtract 6x from both sides of the equation:
7x - 6x - 11 = 6x - 6x + 5
Simplify the equation:
x - 11 = 5
Add 11 to both sides:
x - 11 + 11 = 5 + 11
Simplify the equation:
x = 16
Thus, the number is 16.
Which graph below shows a system of equations with infinitely many solutions?
A)coordinate plane with two parallel lines
B)coordinate plane with two intersecting lines
C)coordinate plane with two coinciding lines
D)coordinate plane with two intersecting lines
Answer:
The correct option is C.
Step-by-step explanation:
Consider the provide information.
Now consider the provided options
Option A) If there is a coordinate plane with two parallel lines.
if the plane has two parallel line then, It has no solution because you can get the solution if lines intersect at a point. Thus, it is not the required option.
Option B) and D) If there are two intersecting lines then you can get only one solution. Thus, it is not the required option.
Option C) If there are two coinciding lines then you can find infinite intersecting points. Thus, it is the required option.
Therefore, the correct option is C.
Help me please don’t know how to do this and I have psat in a week.
Find the parabola whose minimum is at (−12,−2)(−12,−2) rather than the point given in the book. the parabola's equation is y=x2+ax+by=x2+ax+b, where
Goran runs 3 miles in 25 minutes. at the same rate, how many miles would he run in 20 minutes?
The new shanghai restaurant offers a choice of five appetizers, two choices of soups, and eleven choices of entrees for its lunch special. how many different complete lunches can be ordered from the restaurant's lunch special menu?
Final answer:
Using the Multiplication Principle, a customer can choose from 110 different complete lunch combinations by selecting one of each option (appetizer, soup, and entrée) from the menu at the New Shanghai restaurant.
Explanation:
To determine the total number of different complete lunches that can be ordered from the restaurant's lunch special menu, we apply The Multiplication Principle of counting. The principle states that if one event can occur in m ways and another independent event can occur in n ways, then the total number of ways both events can occur together is the product of m and n. In the context of ordering a lunch, each choice (appetizer, soup, and entrée) represents an independent event.
For appetizers, there are 5 choices.
For soups, there are 2 choices.
For entrées, there are 11 choices.
Following the Multiplication Principle, the total number of different complete lunches is calculated as follows:
5 appetizers × 2 soups × 11 entrées = 110 different complete lunches.
Therefore, customers have the opportunity to choose from 110 unique complete lunch combinations at the New Shanghai restaurant.