Melissa is 24 years younger than Joyce. In 2 years Joyce will be 3 times as old as Melissa will be then. How old are they right now?
How is rate of change related to slope
They're pretty much the same thing but when you hear the word rate of change, your thinking of it more in the context of a word problem and interpreting what it means. So labels are pretty much the key difference.
So like slope is here is a random coordinate plane, here's random points or just tell me what the slope is whereas rate of change is like it's number of meters per minute or its number of miles per hour so rate of change means you're comparing two quantities but you have units or labels attached to it.
You're calculating it in the same way but when we say rate of change we're really being asked in the context what does it mean.
one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?
By setting up and solving the equation based on the work rates of the maids, we find that the faster maid would need 4.5 hours to clean the complete house alone.
Explanation:Let's denote the time it takes for the faster maid to clean the house alone as x hours and for the slower maid as 3x hours (since she is three times slower). When they clean the house together, their combined work rate is 1 house per 3 hours.
We can set up an equation based on the work done: The faster maid's work + the slower maid's work = the total work done. Here, the 'work' is a fraction of the house cleaned per hour, so the equation can be written as: 1/x + 1/(3x) = 1/3.
By solving this equation, we find that x = 4.5. Hence, the faster maid would need 4.5 hours to clean the house alone.
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Please help I'm really bad at logorithms.
Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10?
What is the product of 8.2 × 10/\9 and 4.5 × 10/\-5 in scientific notation?
36.9 × 10/\-45
12.7 × 10/\4
3.69 × 10/\5
3.69 × 10/\14
To make things easier for you, the correct answer is C: 3.69 × 10^5
Atlanta and Los Angeles have two of the top ten busiest airports in the world. In 2011, Atlanta had approximately 92.365 million passengers flying through its airport. If Los Angeles had 30.517 million fewer passengers, how many passengers did Los Angeles have?
A)61.848 million
B)89.313 million
C)99.314 million
D)122.882 million
plzawnser if i get 1 question wrong on the test allfoilmy chances of PASSING 12TH GRADE
Answer:
61.848 million
Step-by-step explanation:
Mrs.Hense sells a roll of coastal bermuda horse hay for $58. She says she will make $174 if she sells 3 rolls
Please help me with this. What is the slope of a line parallel to the line with equation 5x-2y=11?
If Harry's new balance was $123.40, what would be his total available credit?
A. $500.00
B. $367.60
C. $376.60
D. $123.40
I'm not sure how to find total credit available but I tried it two different ways and got two answers so I'm between B and C. If you just subtract the new balance from the total credit you get C but if you subtract both the new balance and payments you get B. Please help
The base of a triangle is 3cm greater than the height. The area is 14cm. Find the height and base of the triangle.
Using the diagram, which two planes would hg intersect in ?
Answer:
we need to see the diagram..
Step-by-step explanation:
Usually, when you subtract 98 from a number, you need to
We are taking the difference between x and the 98 we must borrow from x.
What are some alternative names for arithmetic operations?The addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
let us assume that we subtract 98 from the number x.
∴ We are taking the difference of x and 98 we have to borrow 98 from that number x.
For example -: We have to subtract 98 from 299, here we will borrow 98 from 299 which is (299 - 98) = 101.
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A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. The value of the function at 0 is 4. Graph the function. Identify the slope, y-intercept, and x-intercept of the graph.
A. Finding the slope
The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:
slope = 6/ 3 = 2
B. Finding the y – intercept
The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:
y – intercept (b) = 4
C. Finding the function of the graph
The general equation of a line is given as:
y = m x + b
where m is the slope and b is the y intercept therefore:
y = 2 x + 4
D. Finding the x – intercept
The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:
0 = 2 x + 4
x = - 2
E. Graph the function
Check out the image attached
The linear function described is y = -2x + 4, with a slope of -2 and a y-intercept at (0,4). The line for this function will pass through the points (0,4) and (2,0), the latter being the x-intercept.
Explanation:The question asks to graph a linear function in which the dependent variable decreases 6 units for every 3 units the independent variable decreases, and the function's value at 0 is 4. The nature of this relationship implies that the slope of this function is -2 (calculated as -6 divided by 3). Therefore, the equation for this linear function, using the slope-intercept form y = mx + b, will be y = -2x + 4. In this equation, -2 is the slope (m) and 4 is the y-intercept (b, the function's value when x is 0).
To graph this function, you start by marking the point (0,4) on your graph. From this point, you then go down 2 units (as the slope is -2) and 1 unit to the right (as the decrease in y for a 1 unit increase in x). You will continue this pattern to graph the line. The x-intercept—the point at which the line crosses the x-axis (i.e., where y = 0)—occurs at x = 2, because plugging in 0 for y in the equation gives us -2x + 4 = 0, which simplifies to x = 2. So the final line should pass through the points (0,4) and (2,0).
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An airplane travels 780 miles in 4 hours. Make a table and graph to show the mileage for 2,8 and 12 hours. Is there a direct variation? Explain.
Answer:
Yes, there is a direct variation, where the constant is 195 miles\hr
Step-by-step explanation:
Consider the provided information.
An airplane travels 780 miles in 4 hours.
780 miles = 4 hours
Divide both the sides by 4.
780/4 miles = 4/4 hours
195 miles = 1 hours
we need to make a table and graph to show the mileage for 2,8 and 12 hours.
The required table is shown below:
hr Mileage (Miles)
2 2×195 = 390 miles
8 8×195 = 1560 miles
12 12×195 = 2340 miles
From the table we can observe that there is a direct variation, where the constant is 195 miles\hr
The graph of the table is shown below.
The graph is a line passing through the origin.
Thats the same problem mr kagey gave me
Step-by-step explanation:
Theresa walked around the track 22 times. How far did she walk? Write as an improper fraction or mixed number.
Helpppppp fast am being timed
:) help me please & tyyyy
7/10 × 4/7 × 30/20 × 20/14=
I'm unsure how to multiply more than two fractions at a time
The area of a square garden is 1681 square feet. What are the dimensions of the garden?
Simplify. 14+{−2+3[1+3(−6−2)]} Enter your answer in the box. pls HELP
The expression after simplification is -57
Given the expression 14+{−2+3[1+3(−6−2)]}
Using the PEDMAS method
P is parenthesis
E is exponent
D is division
M is multiplication
A is addition
S is subtraction
14+{−2+3[1+3(−6−2)]}
= 14+{−2+3[1+3(-8)]}
= 14+{−2+3[1+(-24)]}
= 14+{−2+3[1-24]}
= 14+{−2+3[-23]}
= 14+{−2+[-69]}
= 14+{−2-69}
= 14+(-71)
= 14 - 71
= -57
Hence the value of the expression after simplification is -57
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I need help. If you can explain it, show me!!
can someone please help md
For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
For the polar curve r = θ, the tangent lines are horizontal when θ = 0 and θ = π, and the tangent lines are vertical when θ = π/2 and θ = 3π/2.
Explanation:The question is asking us to find the values of θ for which the tangent lines to the polar curve r = θ are horizontal and vertical. To do this, we need to first derive the slope of the tangent line in polar coordinates.
The derivative dr/dθ represents the slope of the radius with respect to θ, or in other words, the slope of the curve. When r = θ, the derivative dr/dθ = 1. This slope is equal to the tangent of the angle that the tangent line makes with the positive x-axis.
Therefore, for the tangent lines to be horizontal, the angle needs to be 0 or π rad (0 or 180 degrees). For the tangent lines to be vertical, the angle needs to be π/2 or 3π/2 rad (90 or 270 degrees). Using the equation r = θ in rad, we find the horizontal tangents are when θ = 0 and θ = π, while the vertical tangents are when θ = π/2 and θ = 3π/2.
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Lafayette county has a population of 7,022 people .Columbia county population is 8 times as great as Lafayette County's population.WHAT IS THE POPULATION OF COLUMBIA COUNTY
Marjorie bought 24 bottles of juice. She drinks 2 bottles each day. Which of the following best represents the number of bottles she has left at the end of d days? Question 1 options: 2d - 24 24d - 2 24 + 2d 24 - 2d
Answer:I know the answer is 24-2d. But can anyone give me the Step-by-step explanation of how to solve it in the comments below.
The best representation of the number of bottles she has left at the end of d days is,
⇒ 24 - 2d
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Marjorie bought 24 bottles of juice.
And, She drinks 2 bottles each day.
Now, We get;
First day;
⇒ 24 - 2
Second day;
⇒ 24 - 2 x 2
After d days;
⇒ 24 - 2d
Thus, The best representation of the number of bottles she has left at the end of d days is,
⇒ 24 - 2d
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how do i solve? i don’t understand how you have to get the denominator
During the weekend at the movie palace theaters, 24,875 tickets were sold. Add the following to the number of tickets sold. 100 tickets _____ and 1,000 tickets ____
Answer: 24,975 tickets and 25,875 tickets
Step-by-step explanation:
Given : The number of tickets sold at the movie palace theaters during the weekend = 24,875
If we add the the number of tickets sold to 100 tickets, we get
[tex]24,875+100=24,975[/tex]
If we add the the number of tickets sold to 1000 tickets, we get
[tex]24,875+1000=25,875[/tex]
Hence, when we add 100 tickets and 1000 tickets to the number of tickets sold we get 24,975 tickets and 25,875 tickets
PTINO Can you unscramble this... It's the answer to this riddle; Decimals always win in arguments with fractions. What do decimals have that fractions don't?
Which problem can be solved with this model? A. 4 divided by 1/3 B. 1/3 divided by 4 C. 12 divided by 1/3 or D. 4 divided by 12
Don't understand need help