Answer:
hello : f(n) = 2n + 4
Step-by-step explanation:
look this solution :
Answer:
63 miles x miles
----------- = -------------
3 gallons 7 gallons
Step-by-step explanation:
We will use proportions. the number of miles over the gallons of gas
63 miles x miles
----------- = -------------
3 gallons 7 gallons
Answer:
<u><em>Katie runs fastest </em></u>
Step-by-step explanation:
For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)
For Tony; his speed is 12ft/s
For Katie;
Katie runs 450 feet in 30seconds;
450 feet = 30 secs
x = 1 sec
Cross multiply
30x = 450
x = 450/30
x = 15ft
Hence Katie runs 15ft/s
For Frank;
Frank ran 1 mile per 577secs
1 mile = 5280feeet
This mean that he ran 5280feet in 577 secs
5280feet = 577secs
y = 1 secs
cross multiply;
577y = 5280
y = 5280/577
y = 9.15ft/s
Hence Frank ran 9.15ft/s
For Adam;'
If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs
880 ft = 60secs
z = 1sec
Cross multiply
60z = 880
z = 880/60
z = 14.67ft/s
Hence Adam ran 14.67ft/s
<em>From the value of their speed, we can see that </em><u><em>Katie runs fastest </em></u><em>with a speed of 15ft/s</em>
The answer is 36.24771931898707
First you have to find the area of the rectangle.
The formula for the area of a rectangle is
A=BH
A= 32*24
A=768
Then you find the area of the circle
The formula for the area of a circle is
A= πr^2
The diameter of the circle is 32, so to find the radius you divide it by 2. So the radius is 16.
A= π16^2
A= π256
A= 804.2477193189871.
Then you have to subtract the area of the rectangle to the area of the circle to get the shaded area.
804.2477193189871-768= 36.24771931898707.
So the area of the shaded region is 36.24771931898707.
The solution to given system of equations are (x, y) = (4, 2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 14 ---------- eqn 1
3x - 4y = 4 --------- eqn 2
We have to solve the given system of equations
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 3</u></em>
3(2x + 3y = 14)
6x + 9y = 42 --------- eqn 3
<em><u>Multiply eqn 2 by 2</u></em>
2(3x - 4y = 4)
6x - 8y = 8 ----------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6x + 9y = 42
6x - 8y = 8
( - ) --------------
9y + 8y = 42 - 8
17y = 34
<h3>y = 2</h3>
<em><u>Substitute y = 2 in eqn 1</u></em>
2x + 3(2) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
<h3>x = 4</h3>
Thus the solution to given system of equations are (x, y) = (4, 2)