The actual distance between two cities that are 4.2 cm apart on a map with a scale of 1 cm : 50 mi is 210 miles. The distance was calculated using a direct proportion based on the map's scale.
Explanation:To determine the actual distance between two cities that are 4.2 cm apart on a map with a scale of 1 cm : 50 mi, you can use the following method:
First, understand that the scale means for every 1 cm on the map, the actual distance is 50 miles. Therefore, you can set up a direct proportion to solve for the actual distance.
Scale of map: 1 cm : 50 mi
Distance on map: 4.2 cm
Setting up the proportion, we get:
1 cm / 50 mi = 4.2 cm / x miNow, solve for 'x' which represents the actual distance between the two cities.
x = (4.2 cm × 50 mi) / 1 cmx = 210 miThe actual distance between the two cities is 210 miles.
What is the median ofthe data setgiven below? 42, 20, 12, 15, 18, 15, 29, 33?
negative one sixth of a number is less than -9
The number will be greater than 54 such that a negative one-sixth of a number is less than -9.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's suppose that number is x
Then,
negative one-sixth of x
-(1/6)x is less than -9
-(1/6)x < -9
-x < -54
Multiplying by - will change the sign of inequality
So,
x > 54
Hence "The number will be greater than 54 such that a negative one-sixth of a number is less than -9".
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What is the answer to this question
((WILL MARK BRAINLIEST))
what is the equation of this graphed line (in slope intercept form)
thank you!
slope =
7- - 2 =9
8-0 = 8
slope = -9/8
y intercept = 7
equation: y=-9/8x+7
Suppose you have 100 mL cup 300 mL cup in a 500 mL cup list two different ways you can measure exactly 1 L
Final answer:
To measure 1 liter, one could fill a 500 mL cup twice, or fill a 300 mL cup once, a 500 mL cup once, and a 100 mL cup twice, summing to a total of 1,000 mL which equals 1 liter.
Explanation:
To measure exactly 1 liter using cups of 100 mL, 300 mL, and 500 mL, we can use two different methods. It's important to note that 1 liter (L) equals 1,000 milliliters (mL). Here are the steps for each method:
Method 1:
Fill the 500 mL cup twice and pour the contents into another container. (500 mL + 500 mL = 1,000 mL)
This gives you exactly 1 liter, since 1,000 milliliters is equivalent to 1 liter.
Method 2:
First, fill the 300 mL cup and pour it into an empty container.
Then, fill the 500 mL cup and add it to the same container. (300 mL + 500 mL = 800 mL)
Lastly, fill the 200 mL remaining by using the 100 mL cup twice. (100 mL + 100 mL = 200 mL)
Combining all the measurements gives you 1,000 mL, which is exactly 1 liter. (800 mL + 200 mL = 1,000 mL)
Which statements describe acceleration? Check all that apply.
Negative acceleration occurs when an object slows down in the positive direction.
Negative acceleration occurs when an object slows down in the negative direction.
Negative acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object speeds up in the positive direction.
Positive acceleration occurs when an object speeds up in the negative direction.
Positive acceleration occurs when an object slows down in the negative direction.
Acceleration determines whether an object speeds up or slows down, which can be positive or negative based on the direction of motion and the chosen coordinate system. Negative acceleration occurs when an object slows down while moving in the positive direction or speeds up while moving in the negative direction. Positive acceleration occurs when an object speeds up in the positive direction or slows down in the negative direction.
Explanation:Acceleration is the rate of change in velocity, and it can be characterized as positive or negative depending on its direction relative to a chosen coordinate system. Understanding acceleration involves recognizing how it affects an object's speed in relation to its direction of motion. Let's clarify which statements describe acceleration correctly.
Negative acceleration occurs when an object speeds up in the negative direction or when an object slows down in the positive direction.Positive acceleration occurs when an object speeds up in the positive direction.It is important to distinguish between speeding up, slowing down, and the sign of acceleration. For example, if we assume rightward motion is positive:
An object moving to the right (positive direction) and slowing down has negative acceleration.An object moving to the left (negative direction) and speeding up also has negative acceleration.Contrarily, an object moving to the left and slowing down has positive acceleration.Summarizing these principles:
Negative acceleration occurs when an object slows down in the positive direction.Negative acceleration occurs when an object speeds up in the negative direction.Positive acceleration occurs when an object speeds up in the positive direction.Additionally, positive acceleration occurs when an object slows down in the negative direction.This understanding can help distinguish between deceleration, which always indicates slowing down, and negative acceleration, which may increase speed if the velocity is also negative.
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A subway ride for a student costs $1.25. A monthly pass costs $35.Write an inequality that represents the number of times, x , you must ride the subway for the monthly pass to be a better deal.
Answer:
1.25x>35
Step-by-step explanation:
If x is the number of times you must ride the subway and the monthly pass is $35, we must determine the expression where the cost per ride is greater than $35. Therefore:
1.25x>35
We can solve x to determine the number of rides you must ride for the monthly pass to be a better deal.
x>35/1.25
x>28
The student must take more than 28 rides for the mothly pass to be a better deal.
Andy is hanging wallpaper in his kitchen. He is able to cover of the walls in the room using 6 rolls of wallpaper. What is the number of rolls of paper used per wall? The number of rolls per wall is
Assuming there are 4 walls
6/4 = 1.5 rolls per wall
Answer:
A
Step-by-step explanation:
Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.
Final answer:
The area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, when calculated using the formula for area ½ bc sin A, is approximately 84.2 cm² when rounded to the nearest tenth.
Explanation:
To find the area of triangle ΔABC with m∠A = 120°, side b = 13 cm, and side c = 15 cm, we will use the formula for the area of a triangle when two sides and the included angle are known:
Area = ½ bc sin A
First, we need to find the sine of angle A, which is sin(120°). Using a calculator, we find that sin(120°) ≈ 0.866. Now, we can plug in the values into the area formula:
Area = ½ × 13 cm × 15 cm × sin(120°)
Area = ½ × 13 cm × 15 cm × 0.866
Area ≈ ½ × 13 cm × 15 cm × 0.866 ≈ 84.225 cm²
Rounding to the nearest tenth, the area is approximately 84.2 cm².
The length of a rectangle is three times its width. if the area of the rectangle is 243 in2 , find its perimeter.
A census is taken every 10 years to determine to determine the apportionment of
The US Constitution requires that there be a census every ten years in order to apportion the seats in the House of Representatives among the states. Census information is also used by federal, state, and local governments to assess needs and allocate funding, by academics to study the changing population, by individuals to trace their genealogy, and for many other purposes.
The Opera House sells an average of 1,700 tickets per night when the price of each ticket is $25. An employee of the Opera House noticed that with every one-dollar decrease in the cost of each ticket, the number of tickets sold increased by 200 tickets. Write an equation that could be used to determine the number of one-dollar decreases, x, that would yield a revenue of $55,000.
To determine the number of one-dollar decreases that would yield a revenue of $55,000, set up the equation (1,700 + 200y) * (25 - x) = 55,000 and solve for x.
Explanation:To determine the number of one-dollar decreases, x, that would yield a revenue of $55,000, we can set up an equation based on the given information.
Let y be the number of one-dollar decreases and (1,700 + 200y) be the number of tickets sold. The revenue can be calculated by multiplying the number of tickets sold by the price of each ticket. So in this case, the equation can be written as:
(1,700 + 200y) * (25 - x) = 55,000
Now we can solve this equation to find the value of x.
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Given the following inverse variation find the missing value: (4, 33) (12, y)
PLEASE ANSWER AS SOON AS POSSIBLE!!!!!! THANKS I APPRECIATE YOU AND YOU'RE VALID
If the blue radius below is perpendicular to the chord ac which is 14 units long, what is the length of the segment ab
The answer (APEX) is: "7 units."
which function represents a vertical stretch of an exponential function
Timothy deposited $2,780.20 in a savings account that earns 4.3% simple interest. What will Timothy’s account balance be in 7 months?
Question 2:
The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
24
What is the measure of an interior angle?
How many sides does the polygon have?
Question 1:
What are ED and FD in the figure to the right?
ED=
FD=
The measure of an interior angle of the regular polygon is 156 degrees and the polygon has 15 sides.
Explanation:In a regular polygon, the measure of an exterior angle is equal to 360 degrees divided by the number of sides of the polygon. In this case, the measure of the exterior angle is given as 24 degrees. So we can set up the equation:
24 = 360 / n
Where n is the number of sides. Cross multiplying, we get:
n = 360 / 24 = 15
So the polygon has 15 sides. To find the measure of an interior angle, we can use the formula:
Interior Angle = 180 - Exterior Angle
Interior Angle = 180 - 24 = 156 degrees
Evaluate the expression: |8|-|-2|
Thanks
If you need how many days between two dates what function should be used
To calculate the number of days between two dates, subtract the start date from the end date and add 1.
Explanation:To find the number of days between two dates, you can use the formula:
Number of days = (End date) - (Start date) + 1
For example, if the start date is July 10, 2022, and the end date is July 15, 2022, the number of days between them would be:
Number of days = (15) - (10) + 1 = 6
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WILL GIVE BRAINLIEST-What is the average rate of change of the function on the interval from x = 0 to x = 2?
f(x)=250(0.5)x
The average rate of change of the function will be -93.75.
What is the average rate of change?It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
Given that the interval from x = 0 to x = 2 and the function is [tex]f(x)=250(0.5)^x[/tex].
Calculate the value of the function at x = 0 and x = 2
[tex]f(x)=250(0.5)^x[/tex].
[tex]f(0)=250(0.5)^0=250\\f(0)=250(0.5)^2=62.5[/tex].
The average rate of change will be calculated as,
Rate of change = ( 62.5 - 250 ) ( 2 - 0)
Rate of change = -93.75
Therefore, the average rate of change of the function will be -93.75.
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Write a function rule for the table. p = 12.5h p = h + 12.5 h = 6.25p p = 6.25h
Answer:
A. p=6.25h
because
6.25 (2) = p 12.50
6.25 (4) = p 25.00
6.25 (6) = p 37.50
6.25 (8) = p 50.00
Emily designed a robot that could climb down steps. She drew a graph to show the results from a test of her new robot. The graph shows the number of steps remaining over time.
Which equation represents Emily’s situation, where x is the number of seconds and y is the number of steps?
The equation that describes Emily's robot's movement is y = -mx + c where 'm' is the number of steps per second the robot climbs down, and 'c' is the initial number of steps. The equation would be negative because the number of steps decreases over time.
Explanation:In the given context, Emily's robot is being tested for its ability to climb down steps. As it performs this task, the number of steps it needs to climb down decreases over time. This relationship could be described by a linear equation. If every second the robot climbs down a fixed number of steps, this would translate to a constant rate of change or slope in the graph. Therefore, the equation would be of the form y = mx + c, where 'm' is the slope (representing the number of steps per second the robot climbs down) and 'c' is the y-intercept (representing the initial number of steps).
For instance, if the robot climbs down 1 step per second, and we started with 10 steps, the equation would be y = -x + 10 (negative because the number of steps is decreasing).
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Sequence 13, 39, 65, 91,
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Find the equation of a line in standard form that passes through the point (0,3) and is parallel to y=8x-3
Which of these quadrilaterals can always be classified as a rectangle?
A) parallelogram
B) rhombus
C) square
D) trapezoid
My question is 8n-(6n+7)=5
What is f(–3) if f(x) = |2x – 1| – 5?
The length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Okay, well we start out with the equation P=66, where P is perimeter. You should create equations using variables to explain each piece of information you are given. Follow the equations below and see if you can understand how to do another one like this. In this problem, l is length and w is width.
P = 66 The perimeter is equal to 66
l = 3 + w The length of one side is 3 more than the width
2l + 2w = 66 A rectangle's perimeter is calculated by adding the lengths and widths
2(3 + w) + 2w = 66 Use what you know about length from step 2 to replace the variable in step 3
6 + 2w + 2w = 66 Multiply
6 + 4w = 66 Add like terms
4w = 60 Subtract
w = 15 Divide
l = 3 + w Remember step 2?
l = 3 + 15 Replace the variable using your value for w
l = 18 Add
And you're done! Always check your work. It helps to create a picture of a rectangle while you're doing these problems as well. As you get used to these problems more and more, you can show more or less work than I've shown, but try to stay true to what the teacher asks of you. Good luck!
The function f(x)= -6x+11 has a range given by {-37,-25,-13,-1}.Select the domain values of the function from the list 1,2,3,4,5,6,7,8. explain how you arrived at your answer
The domain of the given function f(x)= -6x+11 for the given range is
{2,4,6,8}
Given :
The function f(x)= -6x+11
range given by {-37,-25,-13,-1)
Range is the f(x) values . Domain are the x values .
To find out domain , we substitute the values of f(x) that is range and solve for x
First we substitute -37 for f(x) in the given function and solve for x
[tex]f(x)= -6x+11 \\x=-37\\-37=-6x+11\\-37-11=-6x\\-48=-6x\\x=8[/tex]
Now substitute -25 for f(x)
[tex]x=-25\\-25=-6x+11\\-25-11=-6x\\-36=-6x\\x=6\\\\\\x=-13\\-13=-6x+11\\-13-11=-6x\\-24=-6x\\x=4\\\\\\x=-1\\-1=-6x+11\\-1-11=-6x\\-12=-6x\\x=2[/tex]
x values are the domain
Domain is {2,4,6,8}
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