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The distance, y, Miranda travels while cross-country skiing, y, her distance traveled, varies directly with the amount of time, x, that she skis. Suppose Miranda skis 10 miles (the y coordinate) in 2 hours (the x coordinate).
A. What is the speed in miles per hour that Miranda is traveling?
B. Use your answer for (A) to write a direct linear variation equation relating this information.
C. How far will Miranda go in 3 hours?
D. If she travels 20 miles, how long did she ski? This one is worked out backward, be careful!
show your work
Using the principle of direct variation, the solution to the problem given are :
5 miles per hour d = 5t15 miles 4 hoursGiven the Parameters :
Distance = d
Amount of time = t
d α t ; d = kt
We can find k = constant of proportionality = speed of travel ;
d = 10 miles ; t = 2 hours
10 = 2k
k = 10/2
k = 5
Hence, speed = 5 miles per hour
B.) The direct linear variation expression becomes ;
d = 5t
C.) Distance traveled in 3 hours :
t = 3 hours
d = 5t
d = 5(3) = 15 miles
D. Time taken to travel a distance of 20 miles
d = 5t
20 = 5t
t = 20/5
t = 4 hours
Therefore, it will take 4 hours to travel a distance of 20 miles.
Learn more :https://brainly.com/question/13218948
In the following, write the binary number in base 10.
110010112
What’s the answer
1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰
1100 1011₂ = 128 + 64 + 8 + 2 + 1
1100 1011₂ = 203
-2, 4, -8, 16……
Find the geometric sequence!!! Find the 10th term. I need to get this right!
What is the slope of the line represented by the equation y = 4/5x - 3?
Combine Like Terms:
12 + 16 + 9x^2
identify two opposite rays.
please help me asap
Answer:
AP-> and AM->
Step-by-step explanation:
They are the only two rays that directly-oppositely face one another.
2. The fifth term and eighth terms of a Gp are 80 and 640 respectively find
a) values of r and a
b) the first five terms
Answer:
a values of r and a that the answer
Write the equation of the line in slope-intercept form. The line is parallel to y+x=3 and passes through the point (−12, 0).
y = -x + 3
y = -(x + 12)
y = -x - 12
: 11 = 1 /3 : 6
plz help
[tex]x:11 = \frac{1}{3} :6[/tex]
Divide the numbers[tex] \frac{x}{11} = \frac{ \frac{1}{3} }{6} \\ \frac{x}{11} = \frac{1}{18} [/tex]
Multiply all terms by the same value to eliminate fraction denominators[tex]11 \times \frac{x}{11} = 11 \times \frac{1}{18} [/tex]
Cancel multiplied terms that are in the denominator[tex]x = 11 \times \frac{1}{18} [/tex]
Multiply the numbers[tex]x = \frac{11}{18} [/tex]
Solved ✔︎Tell whether the value is a solution of the inequality X=36; 3x<100
Answer:
x = 36 is not a solution
Step-by-step explanation:
3x<100
Let x = 36
3*36 < 100
108 < 100
This is not true so x = 36 is not a solution
Answer:
This inequality is False!
Step-by-step explanation:
3x < 100
3x36 < 100
108 < 100
Since 108 is greater than 100 this statement is not true. Hope this helps:)
HELP PLS its due tomorrow
Solve for the value of P. Please!!
a + 0 = a
Choose the property of real numbers that justifies the equation
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday,
number of packs
of black pens sold:
number of packs of red pens sold: number of packs of green pens sold =7:3:4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:96 green pens
7x ,3x,4x
assume that the black pens amd red pens and green pens are sold respictely
7x.2+3x.5+4x.6=212
53x=212
x=4
number of green pens sold
4x.6=4x4x6=96
Can someone explain what does the pint (1,18) represent?
Answer:
1 cup of flour is needed to make 18 cookies
At the aquarium there are 1350 sharks and 600 lion fish, for a total of 1950 fish all together. What is the ratio of fish to lion fish?
Answer:
2.25 Sharks to 1 lion fish
Step-by-step explanation:
1350 sharks / 600 lion fish =2.25
this is hard need help
Graph 1 - no
Graph 2 - no
Graph 3 - yes
Graph 4 - no
Graph 5 - no
Graph 6 - yes
Good luck !!
If u(x) = x^5-x^4x+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Step-by-step explanation:
(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)
-x^3+x^2-1
NO LINKS OR ASSESSMENT!!!
Part 2: Graph the image of the figure using the transformation given. Don't forget to prime marks on your new image.
4. Reflection across the y-axis
Answer:
F' = (2 , -4)
G' = (-1 , -3)
H' = (4 , 0)
I' = (5 , -2)
Step-by-step explanation:
To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:
(x , y) → (-x , y)
Using this will give the points of F', G', H', and I'.
To find the new points, plug in the values into the formula:
F → F' = (-2 , -4) → (2 , -4)
G → G' = (1 , -3) → (-1 , -3)
H → H' = (-4 , 0) → (4 , 0)
I → I' = (-5 , -2) → (5 , -2)
To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.
A sweet potato casserole recipe calls for cup of flour for 4 servings. To serve 16 people, how much flour is needed?
Answer:
4 Cups of Flour
Step-by-step explanation:
The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumference of circle B and circle A (in cm)?
9514 1404 393
Answer:
2πr cm
Step-by-step explanation:
The circumference of a circle of radius r is ...
C = 2πr
For a radius of (r cm), the circumference is ...
A = 2π(r cm) = 2πr cm
For a radius of (2r cm), the circumference is ...
B = 2π(2r cm) = 4πr cm
Then the difference between the circumferences is ...
B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference
Which of the following equations represents a linear function?
A) 2x - 4y = 6
B) 3x3- y= -2
C) y=√4x
D) y = 6/x
Answer:
Step-by-step explanation:
Write the equation of the graph in slope-intercept form (y = mx + b)
Answer:
y = -3x + 4
Step-by-step explanation:
To find the slope, use rise over run with two points. The first point (0,4) to the second point (-2,-2) is 6 units down and 2 units to the right, so you can set up a fraction to solve for the slope:
-6/2 = -3
To find the y-intercept,find the point where the x-value is 0. That point is (0,4),so the y-intercept is 4.
mx represents the slope, so mx is -3x and b is the y-intercept, so that value is 4.
Answer:
y = -3x + 4
Step-by-step explanation:
m = the slope (rise/run)
b = y-intercept
we can see that the rise is 6 (based on the two points) and the run is 2 (based on the labeled points)
- that means that m = 6/2 or m = 3
y = 0 when x = 4, so the y-intercept is 4, or b = 4
put it together!
y = 3x +b
BUT WAIT!!
- the line is decreasing which means that your equation should be negative, so put a negative symbol before 3x.
- why? the rise is decreasing!
final equation --------> y = -3x + 4
I need this solved quick plz!!!
Polynomials
Multiply ( 4x2 – 3)(x + 8)
Answer:
(4*2-3)(x+8)
(8-3)(x+8)
8(x+8)-3(x+8)
8x+64-3x-24
8x-3x+64-24
5x+40
Can someoe help?
7x-24=6x-2
Answer:
[tex]7x - 24 = 6x - 2 \\ collecting \: like \: terms \: \\ 7x - 6x = - 2 + 24 \\ 1x = 22 \\ x = \frac{22}{1} \: \: or \: \: x = 22[/tex]
Answer:
x = 22
Here's how i got it ^u^
7x - 24 = 6x - 2
Step 1: Subtract 6x from both sides.
7x - 24 = 6x - 2
- 6x - 6x
x - 24 = - 2
Step 2: Add 24 to both sides.
x - 24 = - 2
+ 24 + 24
which TA-DA!!! it equals x = 22
At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piecewise equation, where x represents the number of hours . f(x)={9x, x≤212x, x>2 How much would it cost to park at the train station for 8 hours? Enter your answer in the box.
Answer:
96
Step-by-step explanation:
Need helppppppppppppppppppppppppppppppppp
A submarine dives 51 3/5 meters below the surface of the water in 4 minutes. how many meters does the submarine dive each minute? NO LINKS!
A: 12 9/10
B: 12 3/4
C: 206 2/5
D: 47 3/5
Answer:
so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b
how do i solve the question in the image provided ?
Answer:
0.19+0.46i and 0.19-0.46i
Step-by-step explanation:
[tex]\neq (-b+\sqrt{b^2-4ac} )/2a\\and\\(-b-\sqrt{b^2-4ac} )/2a\\\\a=8\\b=3\\c=2\\(-3+\sqrt{3^2-4*8*2} )/(2*8)\\= - 0.1875+0.463512i\\(-3-\sqrt{3^2-4*8*2} )/(2*8) = -0.1875-0.463512i[/tex]
hope its right