Answer:
The speed of Mr Solberg's scooter when there is no wind is 35 miles per hour
Step-by-step explanation:
The given parameters are;
The time Mr. Solberg rides his scooter and cover 3 miles against the wind = The time Mr. Solberg rides his scooter and cover 4 miles with the wind
The speed of the wind = 5 miles per hour
Let v, represent the speed of Mr Solberg's scooter when there is no wind, we have;
Time = Distance/Speed
Mr Solberg's speed against the wind = v - 5
Mr Solberg's speed with the wind = v + 5
The distance covered at a given time, while riding against the wind = 3 miles
The distance covered at the same time, while riding with the wind = 4 miles
The time in both instances are therefore 3/(v - 5) = 4/(v + 5)
From which we have;
3 × (v + 5) = 4 × (v - 5)
3·v + 15 = 4·v - 20
20 + 15 = 4·v - 3·v
4·v - 3·v = 20 + 15
v = 35
The speed of Mr Solberg's scooter when there is no wind = v = 35 miles per hour.
#1: Find the slope of the line shown below.
Answer:
-3/4
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Answer:
-3/4
Step-by-step explanation:
A chemist is using 336 milliliters of a solution of acid and water. If 16.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
Amount of acid = 55.1 mm (Approx)
Step-by-step explanation:
Given:
Amount of solution = 336 mm
Percentage of acid = 16.4%
Find:
Amount of acid
Computation:
Amount of acid = Amount of solution x Percentage of acid
Amount of acid = 336 x 16.4%
Amount of acid = 55.1 mm (Approx)
What is the x?? -19 = -2/3x
Answer:
x=28.5 or 28 1/2
Step-by-step explanation:
Answer:
x= 57/2
Step-by-step explanation:
round to 2 SF 18.9 pls its urgent
10y + 12 - 7y - 8 - 3y = ?
Answer:
The answer is 4 :)
Step-by-step explanation:
how many solutions do the equations y=3x+4 and 3y-6x=2 have?
Answer:
1 solution
Step-by-step explanation:
You can solve these equations by using substitution. y = 3x+4, so 3y-6x=2 can also be written as 3(3x+4)-6x = 2 if you plug in the y value in the second equation. Then, simplify and you will get your x answer. If you plug that into the first equation, you will get your y answer.
What point was used to write the equation y - 3=2(x +4)
Answer:
(3, -4)
General Formulas and Concepts:
Alg I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define function
y - 3 = 2(x + 4)
Step 2: Break function
Coordinate (3, -4)
Slope m = 2
What is the equation of the line that passes through the point (3,-3)(3,−3) and has a slope of 0?
Answer:
The equation of the line that passes through the point (3,-3) and has a slope of 0 will be:
[tex]0=y+3[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]
where
[tex]m[/tex] is the slope of the line and, [tex]\left(x_1,\:y_1\right)[/tex] is a point on the line.As the slope is [tex]m=0[/tex], and the point is [tex](3,-3)[/tex]
so
Equation of the line will be:
[tex]\:y\:-\:y_1\:=\:m\left(x-x_1\right)[/tex]
[tex]y\:-\:\left(-3\right)\:=\:0\left(x-3\right)[/tex]
Further simplifying
[tex]0=y-\left(-3\right)[/tex]
[tex]0=y+3[/tex]
Therefore, the equation of the line that passes through the point (3,-3) and has a slope of 0 will be:
[tex]0=y+3[/tex]
Which chose represents a nonlinear function?
A. X= -2, -1, 0, 1, Y= -3, -1, 1, 3
or
B. X= -2, -1, 0, 1, Y= 4, 1, 0, 1
pls help ill mark u barnlist
24−(−37) please help me
Answer:
24−(−37) = 61
Step-by-step explanation:
Tim throws a stick straight up in the air from the ground. The function h = -16t^2+ 48t models the height, h, in feet, of
the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick
reaches a height of more than 8 feet?
Answer:
[tex]-2t^2+ 6t -1 > 0[/tex]
Step-by-step explanation:
Function Modeling
The height h in feet of the stick threw by Tim is modeled by the function:
[tex]h = -16t^2+ 48t[/tex]
where t is the time in seconds.
It's required to write an inequality that can be used to find the interval of time in which the stick reaches a height of more than 8 feet, i.e. h > 8.
Using the given model, we write the inequality:
[tex]-16t^2+ 48t > 8[/tex]
Dividing by 8
[tex]-2t^2+ 6t > 1[/tex]
Subtracting 1, we get the required inequality:
[tex]\mathbf{-2t^2+ 6t -1 > 0}[/tex]
Answer:
you want more than 8 feet so the answer would be -16t^2+48t>8
Step-by-step explanation:
h=-16t^2+48t
-16t62+48t>8
-16t^2+48t=8
divide both sides of the equal sighn by 8
-2t^2+6t=1
put the symbol back in
-2t^2+6t>1
substitute a random mumber for t
-2(5)^2+6(5)>1
-10^2+30>1
subtract 30 from both sides
100>-29
state is true so -16t62+48t>8 is the correct answer
Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?
Answer:
D
Step-by-step explanation:
choice A is not guaranteed since the values varied from 0 to 7.
choice B seems alright, but doesn't include about or anything about the long run.
choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.
choice D seems pretty good, since it says average, long run, approach, etc.
choice E is incorrect because it says "will be". It is not definite.
Option B is correct.
According to the question,
The values varied from 0 to 7, and distribution of relative frequencies for the values was created.
Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12.
Interpretation A is not the best interpretation as according to questions the values varied from 0 to 7.
Interpretation B, According to data given B's following the condition, but doesn't include about anything about the long run.
Interpretation C, According to the data given C is not the best interpretation because 50% are less than 3.12 and 50% are greater than 3.12.
Interpretation D, According to the data given D is not the best interpretation, since it says average, long run, approach, etc.
Interpretation E, According to the data given E is incorrect because it says "will be" but It is not definite.
Hence, out of the given options, option B is the correct one.
Learn more about random variables here:
https://brainly.com/question/17238189?referrer=searchResults
ANYONE! HELP! I KNOW THE ANSWER I JUST NEED TO SHOW THE WORK
Find the missing angle.
The answer is 146
help please and show work. I will mark Brainliest for best work
Answer:
$118 in tips
Step-by-step explanation:
We know that the waiter makes $4 an hour. So, in 8 hours, the waiter makes 8*4, or $32 dollars. So, the tips the waiter made would be 150-32, or $118. That's a lot of tips! :D
Answer:
*3 weeks ago*
Step-by-step explanation:
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many more boys than girls are there?
The graph shows two lines, A and B:
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
A. (3, 4) is the solution to both lines A and B.
B. (3, 4) is the solution to line A but not to line B.
C. (0.2) is the solution to both lines A and B.
D. (0, 2) is the solution to line A but not to line B.
Answer:
(3, 4) is the solution to both lines A and B.
Thus, option A is true.
Step-by-step explanation:
As we know that the point of intersection of two lines is the solution of the system of the equations.
From the graph, it is clear that the two lines meet at x=3 and y=4.
It means the point of intersection of the two lines is (3, 4).Hence, (3, 4) is the solution to both lines A and B.
Thus, option A is true.
What is the slope of the line
Answer:
[tex]m=-1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (0, -2)
Point (-2, 0)
Step 2: Find slope m
Substitute: [tex]m=\frac{0+2}{-2-0}[/tex]Add/Subtract: [tex]m=\frac{2}{-2}[/tex]Divide: [tex]m=-1[/tex]And we have our final answer!
Answer:
-1
Step-by-step explanation:
The vertices of a trapezoid are A(1,2), B(4,4), C(4,0). D(1.6).
Rotate the trapezoid 270 degrees counterclockwise about
the vertex a. What are the coordinates of the image?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
All of the following expressions are equal except_____. Help!!!!
ΔZAP has coordinates Z (−1, 5), A (1, 3), and P (−2, 4). A translation maps point Z to Z' (1, 1). Find the coordinates of A' and P' under this translation.
Group of answer choices
A' (−4, 0); P' (−1, −1)
A' (3, −1); P' (0, 0)
A' (−1, −1); P' (−4, 0)
A' (0, 0); P' (3, −1)
Armin used 3/4 of a glue stick to decorate 1/4 of his poster. At this rate, how
many glue sticks will he use to decorate one entire poster? *
Answer:
3 glue sticks
Step-by-step explanation:
3/4 to do 1/4, so 3/4=1/4x
multiply by 4.
3=x
So 3 glue sticks.
g(n) = -n+ 3
How do you find the inverse of this equation?
Let g(n) = y
We then have y = -n + 3.
Exchange y and n.
n = -y + 3
Solve for y.
n - 3 = -y
(n - 3)/(-1) = -y/(-1)
-(n - 3) = y
Replace y with g^(-1) n.
-(n - 3) = g^(-1) n
The endpoints of the directed line segment AB are A(-1 2) and B (7 8). Find the coordinates of point P along AB so that the ratio of AP to PB is 1 to 3
Answer:
The coordinates of P are (1,3.5)
Step-by-step explanation:
Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
where in this case m = 1, n = 3
(x1,y1) = (-1,2)
(x2,y2) = (7,8)
Thus, we have ;
(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)
(x,y) = (-3+7)/4 , (6 + 8)/4
(x,y) = 4/4, 14/4
(x,y) = (1,3.5)
Gary walked 9 ⅓ miles last week. This week he walked half that distance. How far did he walk this week.
Answer:
k
Step-by-step explanation:
good job
Answer:
He walked about 4.65 miles this week
Step-by-step explanation:
Help please really need
Answer:
c) no solution
Step-by-step explanation:
the roots are imaginary numbers
Does anyone know what this is
Answer:
D. -3 + 6
Step-by-step explanation:
-3 - (-6) = 3 and -3 + 6 also equals 3
Which is the better deal and by how much: a camera priced $79 at Target marked 20% off, or the same camera priced $85 at Walmart marked 25% off? A. Target camera by $0.55 B. Walmart camera by $0.55 C. They are the same price
Answer:
The answer is A.
Step-by-step explanation:
Because after math is that the 79$ one goes down to 63.2 and the 85$ one goes down to 63.75. So the best deal would be A.
Find the slop of a line containing the two points (-5,-6) and ( 8, 7)
Answer:
1
Step-by-step explanation:
-5 to 8. 13
-6 to 7. 13
13/13=1
sam needs to cut 3 1/2 yd from a piece of wood. This is 1/2 of the total piece. How long was the originial piece, p,of wood?
The wood was 7 yards long
I'm analyzing a song for an assignment and I need a appropriate song to use, something popular. any suggestions? ( comment if full)
Answer:
id recommend any song by brent faiyaz or lost boy by ruth b because it has a little more meaning orrrr the bigger picture by lil baby (thats a good one :)) orrrr girl of my dreams by rod wave orrrr almost is never enough by ariana grande