-6x+9=-5x+5
-x+9=5
-x=5-9
-x=-4
x=4
Josiah and Chana travel at constant and different speeds.
- The point F indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana
<h3>How can the what the the point <em>F </em>represent be known?</h3>
Josiah's head start = 10 meters from the start
Josiah's speed = 2 m/s
Chana's speed = 3 m/s
Expressing the distance traveled as an equation, we have;
D = d + s × t
Where;
D = The distance covered
d = The distance from the starting line the runner starts
s = The speed of the runner
t = The time spent running
For Josiah, we have;
D = 10 + 2•t (line <em>a</em>)
For Chana, we have;
D = 0 + 3•t = 3•t (line <em>b</em>)
The above equations are straight line equations.
The point <em>F </em>is on line <em>a</em>, which shows Josiah distance after 25 seconds which is 60 meters. The corresponding point on line <em>b</em>, Chana's distance after 25 minutes is 75 meters.
Therefore;
- The point <em>F </em>indicates that after 25 seconds Josiah is 60 meters from the starting line but behind Chana
Learn more about straight line equations here:
https://brainly.in/question/16254550
#SPJ1
Answer:
There are 9 dimes and 18 nickels.
Step-by-step explanation:
Let d = be the number of dimes
n = be the number of nickels
d + n = 27...eq.1
0.10d + 0.05n = 1.80...eq.2
Solve the system of equations
d + n = 27
10d + 5n = 180 ( multiply eq.2 by 100 )
-5d - 5n = -135
5d = 45
d = 9 , there are 9 dimes so,0.90
n = 27 - 9 = 18, there are 18 nickels so, 0.90
To check: 9 dimes + 18 nickels = 27 coins
0.90 + 0.90 = $ 1.80 total value of the coins
To find these two lets convert this into slope-intercept form:
-7x + 7y = -17
7y = 7x -17
y = x - 17/7
So, the slope is 1 and the y-intercept is -17/7
Hope this helps!
Answer:
25 cm
Step-by-step explanation:
where r is the radius of the circle
Plug in the given radius (4 cm)
Therefore, the circumference of the opening is approximately 25 cm.
I hope this helps!
