(Apex 2.2.4 math 8) PLEASE I'M SO LOST
The entrance to an accessibility ramp is at ground level.
The first section of the ramp covers a horizontal distance of 18 feet and rises to a landing 1.5 feet above the ground.
The second section of the ramp begins at the landing. It rises at a slope of
\frac{1}{18}
and covers another 9 feet of horizontal distance to reach the door.
Answer the questions to compare the sections of the ramp.
1. What is the slope of the ramp from the ground to the landing? Write your answer as a fraction with a whole-number numerator and denominator.
2. Is the steeper part of the ramp from the ground to the landing or the landing to the door? Explain how you decided which part of the ramp is a steeper.
3. Slope is equal to rise divided by run. If you know the horizontal distance (run) and the slope, how can you find the vertical distance (rise)?
4. What is the vertical distance (rise) from the landing to the door? Show your work.
5. What is the total height of the door above the ground?
Answers
Answer: 1.) The slope of the longer ramp is 1/12
2.) The longer ramp from the ground to the landing is steeper. 1/12 is steeper than 1/18. A graph of the slope shows this. See attachment.
3.) If you know the run, you can find the rise by multiplying the run by the slope.
4.) The rise from the landing to the door is 1/2 foot or 6 inches.
5.) The total height of the door above the ground is 2 ft or 24 inches.
Step-by-step explanation: Sometimes it helps to draw a sketch of the info given then make notes as you find solutions. (See in attachments)
1.) 1:5/18. Multiply by 2/2. It becomes 3/36. simplify to 1/12
4.) Multiplying 9ft by 1/18
It's the same as dividing 9÷18= 0.5 ft. OR 9 feet is 108 inches. 108÷18 = 6 inches
5.) Given height, ground to landing: 1.5 ft plus calculated 0.5ft = 2 ft.
OR 18 inches + 6 inches = 24 inches
The answers to questions comparing the sections of the Ramp are;
1) Slope = 1/2
2)The first section of the ramp is steeper because it has a greater slope.
3) Multiply the horizontal distance by the slope.
4) Vertical distance from landing to the door = 0.5 ft
5) Total height of the door above the ground = 2 ft
We are given that;
Height of landing above the ground = 1.5 ft
Horizontal distance of first section of ramp to landing = 18 ft
Horizontal distance of second section of ramp from landing to door = 9 ft
Slope of Second section of ramp = 1/18
I have attached an image showing the ramp alongside the given data;
With these given data, let's proceed to answer the question;
1) Slope is defined as ratio of change in vertical height to change in horizontal distance.From the attached image, we see that for the first section;
vertical height = 9 ft
horizontal distance = 18 ft
Thus, slope = 9/18 = 1/2
2) The slope for the first section is 1/2 = 0.5.The slope for the second section is 1/18 = 0.056
The slope of the first section is greater than that of the second
section and thus we will say the slope of the first section is steeper.
3) Let the vertical distance of the second section from the landing to the door be x.Now, since we know the horizontal distance for this second section as 9 ft and the slope as 1/18, then by proportion, to get the vertical distance (x), we will just multiply the horizontal distance by the slope.
4) Since the vertical distance from landing to the door is labelled as x, then from answer 3 above;x = 9 × (1/18)
x = 1/2 ft
x = 0.5 ft
5) Height of landing above the ground = 1.5 ftHeight from the landing to the door = 0.5 ft
Total distance from ground to the door = 1.5 + 0.5 = 2 ft
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Related Questions
Plz help quick ( I WILL MARK BRANILEST) also plz give an equation and a solution
Thank you
Answers
3.14x14=43.96
so therefore the answer is 43.96
Solution: πr^2= π(14in/2)^2= π7in^2=49 π=153.938
The answer 153.938 in^2
i need help please. its for math
Answers
Find the commision
5% on $300 sales
Answers
Answer: $15
Explanation: To find the percentage, Multiply the sales by the percentage (change the percent to decimal form).
300 × .05 = 15
So the percentage is $15.00
Plz mark brainliest:)
The Farmers Market sells apples by the bushel, and each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb. of small apples? It’s says show work
Answers
Answer: 4 apples in 1 lb
Step-by-step explanation: There are twice as many small apples as large apples, so multiply 2 × 84 = 168
to find apples per pound, divide the total number of apples, 168, by the weight of the bushel: 42 lbs.
168 /42 = 4 apples/lb
The required number of small apples in one pound is 4.
Given that,
Each bushel of apples weighs 42 lbs. A bushel of large apples contains 84 apples. If a bushel of small apples contains twice as many apples as a bushel of large apples, how many small apples are in 1 lb. of small apples, is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Large apples in 1 pound = 84 / 42 = 2
Now, according to the question,
Number of small apples = 2 (number of large apples)
Number of small apples = 2 (2)
Number of small apples = 4
Thus, the required number of small apples in one pound is 4.
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Hey Guys . . . I need help . . .
Melissa wants to buy a new pair of shoes that have an original price of $45. Melissa has a coupon for 20 percent off to use on them, which amounts to a discount of $9. If sales tax is 9 percent on the final price of the shoes, how much tax will she need to pay?
$3.24
$4.05
$4.86
$4.95
make a Explanation to this . . .
Don't guess or try to go on google . . .
use your own answers . . .
If you don't know the answer, Don't answer at all!
Answers
Answer: 3.24
Step-by-step explanation:
Subtract the pprcent for the coupon, you'll get 36, then add the 9 precent to it, it goes to 39.24 your welcome
PLEASE HELP LOOK AT PHOTO FOR PROBLEM
Answers
Answer:
A. im pretty sure
Step-by-step explanation:
Answer:
it is A. 1 9/10 I simplified it so it should be right
look at the picture and that's the question
Answers
Answer:
Number 2
Step-by-step explanation:
The reason is because you are multiplying 10 by 5 and three this what it would look like
10(5+3)
10( Times) 5= 50
10(times) 3 = 30
50+30
Answer: I think the answer would be 10( 5 + 3)
Step-by-step explanation:
first you add 5 and 3 together and you get 8
the multiply 8 times 10
and you get 80
And lastly to check your answer you add 50+30 together and u also get 80
continue to halllllllllp
Answers
Answer:
A?
Step-by-step explanation:
........................
Set up and solve a trig equation to find the missing side in each triangle. Round to one decimal.
(A AND B)
Answers
Answer
Choose which trig ratio to use. - Choose either sin, cos, or tan by determining which side you know and which side you are looking for.
Substitute. ...
Solve. ...
Step 1: Choose which trig ratio to use. ...
Step 2: Substitute. ...
Step 3: Solve. ...
Step 1: Choose the trig ratio to use. ...
Step 2: Substitute.
Step-by-step explanation:
b) Sin(25)=x/9
pls help i have to get this right
Answers
Answer:
y is times 2 x is devided by 2
Answer:
Step-by-step explanation:
well its basically just factors/ multiplied by 2. for example 2*2=4
as you can see the 2 is y and the 4 is x
and the other way around 4 is divided by 2
A 1-unit by 4-unit rectangle is shown below
Answers
Answer:
4
Step-by-step explanation:
You multiply the height times the width
The area of shaded rectangle is 8/3 square units.
To find the area of shaded rectangle.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
length=4 units
width= 1-unit
The rectangle is subdivided into 3 parts parallely.so 1 units is unshaded and rest are shaded.
Area of rectangle =length*width
Area of bigger rectangle =length*width
=4*1 square units
=4 square units
width is subdivided into 3 parts .
so, 1/3,1/3,1/3 are the width.
Area of un shaded rectangle=length*width
=4*1/3 square units
=4/3 square units
so, Area of bigger rectangle=Area of un-shaded rectangle+ Area of shaded rectangle
4 =4/3+Area of shaded rectangle
Area of shaded rectangle=4-4/3
Area of shaded rectangle=12-4/3
Area of shaded rectangle=8/3 square units
Therefore, the area of shaded rectangle=8/3 square units.
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Use the Distributive Property to simplify the expression.
1/4(8+x+4)
Answers
Answer:
3=1/4x
Step-by-step explanation:
1/4(8+x+4)
=2+1/4x+1
=3+1/4x
The expression after simplification will be 3+x/4
What is Distributive Property?According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Given an expression, 1/4(8+x+4)
Solving by using Distributive Property,
= 1/4 × 8 + 1/4 × x +1/4 × 4
= 2 + x/4 + 1
= 3 + x/4
Hence, the expression after simplification will be 3+x/4
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Mr Davis has displayed data using box and whisker plots representing the scores on the first exam in his two calculus classes. Using these plots, what can Mr Davis correctly deduce about how the two classes compare?
Answers
Answer: The first and third choices are deductions that Mr. Davis can make from the data displayed.
Step-by-step explanation: The last choice is partly true. The highjest individual score was a student in third period, but most schools consider failing to be somewhere below 60 to 67%. There are several of scores below those numbers. The dots at the left end are "outliers."
The second choice may be true, but the data is about the scores on the test, not the number of students in the classes.
What is the danger zone for bacteria? A. Below 40 B. Between 40 and 140 C. Above 140 D. The only safe temperatures are between 40
Answers
Answer:
B
Explanation:
Bacteria grow most rapidly in the range of temperatures between 40 °F and 140 °F, doubling in number in as little as 20 minutes. This range of temperatures is often called the "Danger Zone." Never leave food out of refrigeration over 2 hours.
Answer:
B. Between 40 and 140 Fahrenheit
Step-by-step explanation:
This is called the "Danger Zone" because between these temperatures bacteria grow the fastest. Doubling time can be as little as 20 minutes.
A restaurant sells burritos for $8.00 each. To buy supplies, the restaurant pays $1.50 for the meat and $1.00 for the other ingredients in each burrito.
What is the cost of making 100 burritos?
Answers
Answer:
$250
Step-by-step explanation:
you add cost of meat and other ingredients
1+1.5=2.5
x100 cause there are 100 burritos
2.5x100
$250
Answer:
$250
Step-by-step explanation:
you include cost of meat and different fixings
1+1.5=2.5
x100 = 2.5x100 = $250
An art club sells 42 large candles and 56 small candles.
a. Write and simplify an expression that represents the profit.
expression for the profit: _(_-x)+_(_-y)
simplified expression for the profit: _______
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $__
Answers
Answer:
Profit = $(700 - 42x - 56y)
Step-by-step explanation:
For large candles, the selling price is $10 and its making cost is $x.
So, by selling a large candle the profit is $(10 - x)
Again for small candles, the selling price is $5 and its making cost is $y.
So, by selling a small candle the profit is $(5 - y)
Therefore, in a sell of 42 large candles and 56 small candles the total profit will be, P = 42 (10 - x) + 56 (5 - y)
⇒ P = 420 - 42x + 280 - 56y {Applying distributive property}
⇒ P = $(700 - 42x - 56y) (Answer)
Step-by-step explanation:
hope it helps
heart me plz
1. The relationship between a distance in yards (y) and the same distance in miles (m) is
described by the equation y = 1760m.
a. Find measurements in yards and miles for distances by filling in the table.
distance measured in miles
distance measured in yards
1
5
3,520
17,600
b. Is there a proportional relationship between a measurement in yards and a
measurement in miles for the same distance? Explain why or why not.
Answers
Therefore, the ratio of yards to miles is always constant, making it a proportional relationship.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. It typically includes one or more variables, which are unknowns that can take on different values. An equation can be solved by finding the value or values of the variable(s) that make both sides of the equation equal.
Here,
a. Using the equation y = 1760m, we can fill in the table as follows:
distance measured in miles distance measured in yards
1 1,760
5 8,800
3.520 6,195.2
17,600 30,800,000
b. Yes, there is a proportional relationship between a measurement in yards and a measurement in miles for the same distance. The equation y = 1760m shows that the number of yards is always 1760 times greater than the number of miles. This means that if you double the number of miles, the number of yards will also double, and if you triple the number of miles, the number of yards will triple, and so on.
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You might have experienced static electricity and even felt a mild shock. Think about what you observed. Then write down one or two questions about static electricity based on your observations.
PLEASE HELP!!!
Answers
Answer:
mild shock: 1. why did i feel electricity through my whole arm?
static: 2. how did i make electricity from rubbing a balloon on my hair?
Celebrity A has 400 followers on social media and is gaining 75 followers each day. Celebrity B has 1,000 followers on social media but is losing 25 followers a day. How many days will it take them to have the same number of followers?
Answers
They will have the same amount of followers in 6 days.
They will have 850 followers.
Answer:
6 days
Step-by-step explanation:
A) 400 + 75 a day
B) 1000 - 25 a day
1 2 3 4 5 6
475, 550, 625, 700, 775, 850
1 2 3 4 5 6
1000, 976, 950, 925, 900, 875, 850
At a petting zoo, there are 2 chickens, 4 deer, 3 donkeys, and 6 goats. What is the ratio of goats to the total number of animals written in simplest form
Answers
Answer:
2:5
Step-by-step explanation:
There are 6 goats and 9 other animals, with a total of 15 animals, which gives us 6:15. The simplest form that 6:15 can be is 2:5. Hope this helps!
Your soccer team is holding a silent auction dinner as a fundraiser to pay for the team uniforms. The list shows all the expenses for the silent auction.
A tablet that costs $280
Soccer tickets that cost $100
A gift card that costs $20
The cost of the food is $400
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 50 tickets will pay for the cost of the prizes and food
Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.
Answers
Please Help! I have to finish this in 30 mins!
Answers
Answer:justin can
Step-by-step explanation:
PLZZZ HELP ME OUT THIS DUE RIGHT NOW AND I FREAKING OUT PLEASE HELP ME P.S YOU HAVE WRITE ANSWERS FOR ALL OF THEM
Task 1 – Operations on the Number Line
(Variation of the above task)
A number line is shown below. The numbers 0 and 1are marked on the line, as are two other numbers a and b.
For each of the following expressions determine if the answer would be positive, negative, or zero. For each one PROVE HOW YOU KNOW.
1. a−1
Answer:
Explanation:
2. a−2
Answer:
Explanation:
3. b−1
Answer:
Explanation:
4. -b−b
Answer:
Explanation:
5. a−b
Answer:
Explanation:
6. ab+1
Answer:
Explanation:
7. b− a
Answer:
Explanation:
8. a a-b x b
Answer:
Explanation:
Answers
-2 1/8 ÷ 1 1/4
Please help :P
Answers
Answer:
-1.7
Step-by-step explanation:
I took this quiz too. I answered with this and got it right. I did the math, it was right, Enjoy!
2.89x3 7.6x2 16.2x4 30.5x4
Answers
Answer:
2.89x3 = 8.67
7.6x2 = 15.2
16.2x4 = 64.8
30.5x4 = 122
Step-by-step explanation:
hope this helps
Answer: They are in the bottom part in Step-by-step explanation.
Step-by-step explanation:
2.89×3= 8.67
7.6×2= 15.2
16.2×4= 64.8
30.5×4= 122
Which expression would be easier to simplify if you used commutative property to change the grouping?
A. 95+47+5
B. 1/4+3/4+2
C. 20+80+(-11)
D. -40+(-50)+17
(I'll give brainliest for correct answer and how accurate it is.)
Answers
Answer:
I think c
Sory if it is wrong
Step-by-step explanation:
Determine the quotient of 3 over 7 divided by 2 over 3 . (2 points)
9 over 14
1 over 2
6 over 21
1 and 5 over 9
Answers
Yes get it
A model of a car was made using a scale of 1 in: 15 in. If the size of the car in the model is 8 in, then what is the actual length?
Answers
Answer:120
Step-by-step explanation: it would be 120 because you just multiply 8x15. if i inch = 15, 8 inch=120! hope this helps :)
Answer:
120 I think if its wrong sry
Mr. Frank guesses that his elk weighs 500 lbs. It’s actual weight is 530 lbs. Find the percent error.
Urgently need this answer! Thank you ^^
Answers
I'm guessing 5.66%... I'm so sorry if this is incorrect, if it isn't you may report ad get is deleted oof...
Hope this helped anyways!
To make a batch of salad dressing, combine 5 tablespoons of oil with 15 tablespoons of vinegar. How many tablespoons of vinegar are needed for every tablespoon of oil?
On the double number line below, fill in the given values, then use multiplication or division to find the missing value:
Answers
Answer:
3
Step-by-step explanation:
15 divided by 5 is 3
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