Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
Solve 10ax + 9b = 8cx + d for x
Answer:
Step-by-step explanation:
Step 1: Subtract 8cx from both sides of the equation to get
10ax + 9b - 8cx = d
Step 2: Subtract 9b from both sides of the equation to get
10ax - 8cx = d - 9b
Step 3: Multiply both sides of the equation by (-1/10) to get
-8cx/10 = -(d - 9b)/10
Step 4: Add (d - 9b)/10 to both sides of the equation to get
-8cx/10 + (d - 9b)/10 = 0
Step 5: Simplify the left side of the equation to get
x = (9b - d)/80
Therefore, x = (9b - d)/80 is the solution to the equation 10ax + 9b = 8cx + d.
How many tens do u need to make 280
Answer: 28
Step-by-step explanation:
280/10=28
(/=divide)
If you have 10 baskets and have 280 apples to evenly distribute them in every basket, you would have 28 in each basket. If that makes sense.
Hope this helps!
How many times less
is 0.054 than 54?
Answer: 1000 times less
Step-by-step explanation: multiply 0.054x1000
Answer:
1000 times
Step-by-step explanation:
To find how many times less 0.054 is than 54,
we can divide 54 by 0.054.
This gives us 54/0.054 = 1000
This means that 0.054 is 1000 times less than 54.
Pllzzz help me with this!!!!
Solving the provided question, we can say that the quadratic equation is [tex]-16t^2 +vt +s[/tex] so answer is -16+48+3 = 35
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
the quadratic equation is
[tex]-16t^2 +vt +s[/tex]
v = 16
s =3
t =
so answer is -16+48+3 = 35
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For what values of k are the graphs of 8y=4x+3 and 4y=k(x+5) parallel? perpendicular?
parallel k= __
perpendicular k= __
The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.
what is slope ?A line's slope determines how steep it is. A mathematical expression for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two points. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is used to represent it. The y-intercept is located at a point where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).
given
for parallel their slope will be equal
y1= 1x/2 + 3/8 .... eq1
y2= kx/4 + 5k/4 ..... eq2
y1 = y2
1x/2 + 3/8 = kx/4 + 5k/4
1/2 + 3/8 = k/4 + 5k/4
7/8 = 6k/4
k = 7/12
for perpendicular product of their slope is 1
y1 * y2 = 1
1x/2 + 3/8 * kx/4 + 5k/4 = 1
1/2 + 3/8 * k/4 + 5k/4 = 1
k = 1/21
so The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.
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i am Once again asking for help on this difficult question- i am timed pls help :
find the area of right angle triangle whose base 9, Height 8?
Answer:38cm2
Step-by-step explanation:
The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .
Base is 9 cm.
8 centimeters tall.
Triangle area equals 1/2 x base x height
Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.
The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.
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4
On Monday Selma has £202.69 in her bank account.
Selma needs to pay a bill of £465.20 from the account on Wednesday.
She will pay some money into the account on Tuesday so that there is
●
enough money in the account to pay the bill
£10 left in the account after the bill has been paid.
No other payments occur.
How much money does Selma pay into the account on Tuesday?
Answer:
Answer: £272.51
Step-by-step explanation:
First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.
Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51
Please help - How many whole months will it take for a motorbike valued at £2550 to depreciate to less than £1200 if depreciation is at a rate of 5% per month?
Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.
What is depreciation?Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.
What is asset and liabilities?Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.
The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:
£2550 - (0.05 * x) < £1200
where x is the number of months.
You can re-arrange the equation to solve for x:
x > (2550 - 1200) / 0.05
x > (1350) / 0.05
x > 27
So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.
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Select the correct answer.
Steve is trying to determine the proper rectangular pan to use for his banana bread recipe. He has four different pans that he can use, each with the same length and width but all with different heights.
Which of the following formulas will show how Steve can determine the height of a rectangular pan?
I believe it's A
I hope this helps and if I'm wrong I apologize
A certain type of fertilizer contains 8% nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn, how many kilograms of fertilizer are needed?
25 kilograms of fertilizer would be needed to fertilize the lawn.
what is the percentage?In essence, percentages are fractions with 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.
given, A certain type of fertilizer contains 8 percent of nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn.
Since fertilizer contain 8% nitrogen in it
thus for 80 grams of nitrogen = 1 kg of fertilizer
for 1 gram of nitrogen = 1/80 kg fertilizer
for 2000 gram of nitrogen = (1/80)* 2000 kg fertilizer
for 2 kilograms of nitrogen = 25 kg fertilizer
therefore, To fertilize the yard, 25 kg of fertilizer would be required.
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The price of a house was #2.3, 400,006 in 201 At the end of each year, the price was increases by 6% find the price of the house after 3 years Find the price of the house after 5 years
After 3 years, the price of the house would be $2,494,822.48. After 5 years, the price of the house would be $2,830,530.94.
What is price?Price is the value of a product or service that an individual or business is willing to accept in exchange for a good or service. It is typically determined by the market forces of supply and demand. Prices are usually expressed in monetary terms, but can also be expressed in terms of labor time or other resources. Prices can vary widely depending on the availability of a good or service, the amount of competition, and other factors.
To calculate the price of the house after 3 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 3. Therefore, the price of the house after 3 years is P x (1 + 0.06)^3, which equals to $2,494,822.48.
To calculate the price of the house after 5 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 5. Therefore, the price of the house after 5 years is P x (1 + 0.06)^5, which equals to $2,830,530.94.
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Find all the zeroes of the equation.
x4-6x2-7x-6 = 0
Zeros of the given equation are {-2, 3, (-1±i√3)/2}
Solution:-As the last term is -6 then, ± 2 , ±3 are possible zeroes.
Try 2:-
[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so 2 is not a zero.
Try 3:-
[tex]3^4-6*(3)^2-7*3-6=0[/tex] so 3 is a zero.
[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex] so -2 is also a zero.
Divide the function by (x +2)(x - 3), that is [tex]x^2 - x - 6[/tex]
gives [tex]x^2 + x + 1[/tex]
[tex]x^2 + x + 1[/tex]
So we have [tex]x^2 + x + 1 = 0[/tex]
[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]
= -1 + √(-3) / 2 , - 1 - √(-3) / 2.
= -0.5 + 0.866i, -0.5 - 0.866i
What are math roots?In mathematics, the number that results in the original number when multiplied by itself is called the root.
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In Exercises 7-8, find the domain of the function.
7. f(x) = x-5/x + 2
8. h(x) = 4x²
On solving the provided question, we can say that - the value of the function is = x-5/x + 2 => x= 2 => -3/4
what is function?The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.
x-5/x + 2
x= 2
-3/4
ans also 4x² = 4 *2*2 = 16
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Which absolute value function, when graphed, will be
wider than the graph of the parent function, f(x) = |x|?
On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.
What are similar angles?Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.
Given:
m ∠1 = m ∠2
m ∠2 = m ∠4
We have to prove that m ∠ABC = m ∠EDC
∠EDC = ∠3 + ∠4
m ∠ABC = m ∠1 + m ∠2
m ∠EDC = m ∠3 + m ∠4
m ∠1 + m ∠2 = m ∠3 + m ∠4
m ∠ABC = m ∠EDC
Hence, by using the given information we can prove that
m ∠ABC = m ∠EDC.
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convert 84min into fraction
Answer:
[tex]\frac{7}{5}[/tex]
Step-by-step explanation:
I am thinking that you mean 84 minutes compared to an hour?
[tex]\frac{84}{60}[/tex] ÷ [tex]\frac{12}{12}[/tex] = [tex]\frac{7}{5}[/tex]
1. A student has computed that it takes an average of 17 minutes with a standard deviation of 3 minutes to drive from home, park the car, and walk to an early morning class. Find the proportion of times whose time X satisfies each of the following conditions:
A) If you selected 10 days at random, what is the probability that half the days will take between 15 and
20 minutes?
B) What is the probability the second day selected will be the first day he is late to class, assuming he left
at 8:39am?
(I know how to solve for the probabilities on their own, however I’m not sure how to incorporate the added probability based on multiple days)
Answer:
B
Step-by-step explanation:
Solve for Inequality 5-1/2 x >30
Answer:
X < - 50
Step-by-step explanation:
5 - 1/2 x > 30
Move 5 to the other side of the inequality
- 1/2 x > 25
Multiply both sides by 2, to get rid of the denominator on the left side
-x > 50
Now switch the inequality sign and multiply to get the minus on the other side
x < - 50
[tex]5-\dfrac{1}{2} x > 30[/tex]
Simplify:
[tex]-\dfrac{1}{2} x+5 > 30[/tex]
Subtract 5 from both sides:
[tex]-\dfrac{1}{2} x+5-5 > 30-5[/tex]
[tex]-\dfrac{1}{2} x > 25[/tex]
Multiply both sides by [tex]-\dfrac{2}{1}[/tex]:
[tex]-\dfrac{2}{1} \times(-\dfrac{1}{2} x) > -\dfrac{2}{1} \times(25)[/tex]
[tex]\fbox{x} < \fbox{-50}[/tex]
PLEASE HELP FIND THE SOLUTION IN SLOPE INTERCEPT FORM
Answer: y= -3/4x+8
Step-by-step explanation:
Reduce 17/5 to It lowest term
Answer:
17/5
It is already simplified to lowest terms.
This number, as a mixed fraction, would look like this:
3 2/5.
Why is the discriminant a useful tool to use when solving quadratic equations?
Solve each equation for both variables help please
Answer:
x=2 y= -1
Step-by-step explanation:
Took me 5 minutes to write steps and unfortunately it disappeared. I am so sorry. But the answer is correct
$29, $58, $15, $75, and $22. Find the mean absolute deviation
The mean absolute deviation of $29, $58, $15, $75, and $22 is $32.67.
How to calculate the mean deviation?The average (mean) distance between each data value and the data set mean is known as the mean absolute deviation, or MAD. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It provides insight into a dataset's variability.
From tje information, it should be noted that the mean will be:
= (29 + 58 + 15 + 129+ 75 + 22) / 6.
= 54.67
Means absolute deviation = 1/6+25.67 + 3.33 - 39.67 + 74.33 + 20.33 + 32.67)
= 32.67
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Complete question
Find the mean absolute deviation of the fulfilled items on Sherrie's registry: $29, $58, $15, $129, $75 & $22.
1/2k+6=4k-8
Please explain step by step
So on solving the provided question, we can say that the value of k is 4, in this linear equation question.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
1/2k +6= 4k-8
Multiplying both sides by 2,
k+12= 8k-16
7k=28
Therefore,
k=4
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Any help please, - What is the area for this?
Answer:
109.18
Step-by-step explanation:
Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.
PS lies on the perpendicular bisector of QR. Select all the statements about the figure that must be true.
Of the given statements, only the option number {5} and {6} are true.
What is perpendicular bisector?The perpendicular bisectors of a triangle are lines passing through the midpoint of each side which are perpendicular to the given side. A triangle's three perpendicular bisectors meet at a point. known as the circumcenter, which is also the center of the triangle's circumcircle.
Given is a triangle as shown in the image.
Since PS is the perpendicular bisector of QR, we can write -
QS = SR
6n + 3 = 4n + 11
2n = 8
n = 4
QR = QS + SR
QR = 6n + 3 + 4n + 11
QR = 10n + 14
QR = 10 x 4 + 14
QR = 54
and
SR = 4n + 11
SR = 16 + 11
SR = 27
Therefore, of the given statements, only the option number {5} and {6} are true.
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Trace is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?
The original price of each notebook is $5.5
How to calculate the original price of each notebook ?
Trace is purchasing some notebooks
Each notebook is $2 off the original price
He buys 8 notebooks for $28
The first step is to calculate the price of one notebook
8= 28
1= x
Cross multiply both sides
8x= 28
x= 28/8
x= 3.5
1 notebook is $3.5
$2 was removed from the initial price. Therefore the original price is
2 + 3.5
= 5.5
Hence the original price of the notebook is $5.5
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find the nth term of the following sequence :
5, 20, 45, 80, 125
The nth term of the following sequence is: 5n²
What is arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
We are given the sequence are;
5, 20, 45, 80, 125
The quadratic sequence formula : an²+bn+c
2nd difference 2a = 10
a = 5
1st difference 3a+b = 15
Then substitute 5
3(5)+b = 15
b = 0
The nth term rule : a + b + c = 5
Now substitute a and b values into equation
5 + 0 + c = 5
c = 0
The nth term is: 5n²
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Helppp asp !! A system of equations is shown x+y=7. 2x-y=-1. What is the solution to the system of equations
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
what is equations ?Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two quadrilateral and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either contingent equations or identities are categories for equations. An identity holds true for whatever value of the variables.
given
x+y=7
2x-y=-1
8x=20
x= 5/2
-4y = -8
y = 2
Combination of variables x+y=7. 2x-y=-1 has (5/2, 2) as its solution. For each value of the variables, an identity is true.
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f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)
Answer:
16
Step-by-step explanation:
3^x +1 = f(X)
2x-4 = g(x)
find f(2)-g(-1)
we substitute in function f(X) by value (2), and in function g(X) by value (-1)
1. 3^x +1 becomes 3^2+1 =9+1=10
2. 2(-1)-4= -2-4=-6
then f(2)-g(-1)
= 10-(-6) =10+6=16