The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
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A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)
Answer: 500 i think
Step-by-step explanation:
im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
Answer:
Step-by-step explanation: How do you find the 3rd angle of a triangle?
Image result for im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to the sum of the first two angles, find the measure of each angle.
The three angles of any triangle add up to 180 degrees. Since you know two angles (35 and 40), add them together, then subtract the total from 180 to determine the degree of the third angle.
100 POINTS IF U GET DIS RIGHT!
Answer:
[tex]- \frac{3}{5}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
y = (x , y)
m = slope = [tex]-\frac{3}{5}[/tex]
x = (x , y)
b = y-intercept = [tex]- \frac{7}{9}[/tex]
With this given information, your slope will be [tex]-\frac{3}{5}[/tex]
Answer:
-3/5
Step-by-step explanation:
The answer is -3/5 I think
please help and show work
[tex]x=0=>0^{5} +32 = ( 0 +2 ) ^ 5[/tex]
P/s: [tex]0^5+32=32 , (0+2)^5=2^5 =32[/tex]
[tex]x=-2=> (-2)^5 + 32 = ( -2 +2 )^5[/tex]
P/s: [tex](-2)^5 +32 = -32+32=0, (-2+2)^5=0^5=0[/tex]
ok done. Thank to me :>
geometry help please?!
Answer:
The coordinates are (1,-5) :)
Which equation represents this statement?
5 times the sum of 7 and a number is 40.
5(n+7)=40
5 + 7n = 40
5⋅7+n=40
5n + 7 = 40
Answer:
5(n+7)=40
Step-by-step explanation:
It's 5(n+7)=40 because 5 + 7n = 40 and 5n + 7 = 40 is addition not multiplication, and 5⋅7+n=40 is saying 5 times seven plus a number is 40, therefore 5(n+7)=40 is the correct answer because the parenthesis in (n+7) seperates it from 5 so that you have to get the sum of (n+7) before you can multiply it by 5.
The required equation for the given case is 5(n + 7) = 40.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given word problem can be solved as follows,
Suppose the unknown number be n.
Then, 5 times the sum of the number and 7 can be written as an expression as,
5(n + 7)
Now, as per the question the following equation can be written,
5(n + 7) = 40
Hence, the equation for the given word problem is 5(n + 7) = 40.
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The weight of an object on the moon varies directly as the weight of the object on Earth. A 90-pound object on Earth weighs 15 pounds on the moon. If an object weighs 156 pounds on Earth, how much does it weigh on the moon?
Answer:
Step-by-step explanation:
26 pounds because the weight of the first object on the earth is 90 pounds but on the moon it is 15 pounds this gives us a ratio between the relative gravitational field strengths of the earth and the moon
Answer:
26 pounds.
Step-by-step explanation:
By proportion:
15/90 = w /156 where w is the object's weight on the moon.
90w = 15*156
w = (15*156)/90
= 26.
Triangle ABC has perimeter 22 cm.
AB = 8cm
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answer:
Step-by-step explanation:
A = 8 cm
B = 5 cm
C = 22 - 8 - 5 = 9 cm
Use the Pythagreom Theroem (a^2 + b^2 = c^2) if the two sides are equal to one another than it is a right triangle.
8^2 + 5^2 = 9^2
64 + 25 = 81
89 = 81
89 does not equal 81, so this is not a right triangle.
It takes Max three hours to run 30 kilometers. Georges, on the other hand, travels the same distance in 2 hours and 20 minutes. If both are to complete a 15-kilometre race, how long before Max will Georges arrive to the finish line?
George will arrive 20 minutes before Max
It takes Max 3 hours(180 minutes) to run 30 km .
The rate can be calculated as follows:
rate = 30 / 180 = 1/6 km/ min
George uses 2 hours 20 minutes(140 minutes) to run 30 km.
The rate can be calculated as follows:
rate = 30 / 140 = 3/14 km / min
If both are to complete a 15-kilometre race, Therefore,
Max time will be
1 / 6 = 15 / t
t = 15 × 6
t = 90 minutes
George time will be
3/14 = 15 / t
3t = 210
t = 210 / 3
t = 70 minutes
Time difference = 90 - 70 = 20 minutes
Therefore, George will arrive 20 minutes earlier than Max
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expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Step-by-step explanation:
See the steps below:
[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]
3. In the expansion of (ax^2+ by)^8 the coefficients of last two terms are -5832 and 6561, respectively.
Find the values of: a and b
Answer:
a = -0.33
b = 3
Step-by-step explanation:
(ax²+ by)⁸
by the 8th level of Pascal Triangle, the coefficient of last 2 terms are
8 a*b⁷ = -5832 ... last 2nd term 8 ab⁷ x²y⁷
b⁸ = 6561 ... last term b⁸y⁸
b = 3
a = -5832/(8*3⁷) = -0.33
0.8 = 8/10
True
False
Answer:
true
Step-by-step explanation:
0.8 is out of 1.0 so 0.8 + 0.2 = 1.0 and same for 8/10
Answer: True
Step-by-step explanation:
In order to see if the two given numbers are equal to each other, you need to turn one of them into either a fraction or a decimal so both of them are the same and you are able to compare.
In order to turn [tex]\frac{8}{10}[/tex] into a decimal, you divide 10 by 8.
8 ÷ 10 = 0.8
Both of the decimals are the same therefore the numbers are equal to each other and the statement is true.
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Take 2 points
(10,50)(30,60)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{60-50}{30-10}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{10}{20}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1}{2}[/tex]
a car is traveling at a steady speed. it travels 1 1/2 miles in 2 1/4 minutes. how far will it travel in 40 minutes?
Answer:
In 1 hour
Step-by-step explanation:
illustrated Go Math solution to the problem of 4x as many spaniels as retrievers and there are 30 dogs, how many are spaniels
Answer:
24 spaniels
Step-by-step explanation:
4 many spaniels as retriever means that if you put the dogs in the correct order, every 5 animals you will have one retriever and 4 spaniels, then one retriever and four more spaniels. That is, there are groups of 5 dogs with that ratio. If there are 30 dogs, you can make 6 of these groups. It means that you have 24 spaniels and 6 retrievers.
Josiah has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $33, before discount and tax. After the discount, and before tax, the price is $30.69. Find the percent discount.
Will mark BRAINLIEST I Promise.
Can you tell me how and what the answer is
Answer:
-2
Step-by-step explanation:
the formula for finding slope using points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1). using this with the points (0,3) and (1,1) gets us (1-3)/(1-0) = -2/1 = -2. so the slope is -2
Answer:
-2
Step-by-step explanation:
The slope of a line is defined as the difference in y, divided by the difference in x. [tex]m= \frac{\Delta y}{\Delta x} =\frac{3-1}{0-1} = \frac2{-1} = -2[/tex]
a garden snail moves 1/6 foot in 1/3 hours. Find the speed of the snail in feet per hour
3/6 = 1/2 fph = .5fph
5^-15 rewritten using a positive exponent.
Answer: 1/5 to the power of 15
plz someone help me..
Simplify the given equation
5x+2(x-3)=2x-1
A) 7x-3=-2x-1
B) 7x-6=-2x+2
C) 7x-6=-2x-2
Answer: B) 7x-6=-2x+2
Step-by-step explanation:
Anyone Please Help (for A Brainly )
Answer:
y < x + 1
Step-by-step explanation:
Put the answer in desmos graphing calculator
the answer is y ≤ x + 1
ok done. Thank to me :>
Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earning in US dollars each hour of the year?
A $2050.20
B $1872
C $3562
D $1300
Answer:
I think C or D not sure about the question answer
He was earning 3562 each hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kyle Lowry earned $31.2 million.
So, In each month he read
= 31200000 / 12
= $2,600,000
and, in each day she earn
= 2, 600, 000 / 30
=86,666.666
and, in each hour she earn
= 2, 600, 000 / 24
= 3611
Hence, He was earning 3562 each hour.
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A glass cube of side length 5cm has a mass of 306.25g.
Calculate the density of the glass in glcm3.
You must show you working’s
Answer:
2.45 g/cm3
Step-by-step explanation:
It's a cube, so all the side lengths are the same. It's volume is [tex](5cm)^3[/tex] = [tex]125 cm^3[/tex].
At this point, we apply the definition of density [tex]\rho = \frac mV[/tex] where m is the mass and V the volume.[tex]\rho = \frac{306.25g}{125 cm^3} = 2.45 g/cm^3[/tex]
A worker pushes on a crate that experiences a
net force of 75 N. If the crate also experiences
an acceleration of 0.50 m/s^2, what is its
weight?
Answer:
Answer:
M = 75N
0.50 m/s²
M = 150kg
Explanation:
M = F
a6
Help me with math!!!!
Answer:
Step-by-step explanation:
Option c is best.
x is less than equal to 2 that's why the graph of line moves toward the left side.
solve pls brainliest
Answer:
1 = A 3 = b 4 = c
Step-by-step explanation:
I folded, trust me
Answer:
1 =a 2=d 3=b 4=c
Step-by-step explanation:
Can someone tell me the slope of this graph
Answer:
Slope = 3
Step-by-step explanation:
The formula to find the slope of a graph using two points is:
m = Δy/Δx
where m is the slope
We can start off by choosing two points on the graph. Two easy ones to pick out would be (6,30) and (1,15). Notice that the 15 and the 30 are y-coordinates and the 6 and the 1 are x-coordinates. To find the slope we will do
m = Δy/Δx = (30-15)/(6-1)
= 15/5
= 3
Thus the slope of this graph is 3
help me brainlist if you right Mona is inviting 10 friends to a party. Each friend wants 5 cookies and each box has 10 cookies. How many boxes should Moana get?
Answer:
its 5 boxes
Step-by-step explanation:
I don’t know how i’m supposed to do this it’s basically dividing a fraction with a fraction or something
It is 1.3 in decimal form
Answer:
84/63
Step-by-step explanation:
when you are dividing two fractions that is the equal of multiplying the upper one with the opposite of the one below