Answer:
40%
Step-by-step explanation:
Total students = 25
Boys = 15
Girls = 25 - 15 = 10
Percent of girls = 10/25
Percent is out of 100.
=> 10/25 = x/100
=> Cross multiply
=> 25 * x = 100 * 10
=> 25x = 1000
=> 25x/25 = 1000/25
=> x = 40
So, 40% are girls
It would be number 3 hope this helps!
The remainder theorem says that dividing a polynomial <em>f(x)</em> by a 1st-degree polynomial <em>g(x)</em> = <em>x</em> - <em>c</em> leaves a remainder of exactly <em>f(c)</em>.
(a) With <em>f(x)</em> = <em>px</em> ³ + 4<em>x</em> - 10 and <em>d(x)</em> = <em>x</em> + 3, we have a remainder of 5, so
<em>f</em> (-3) = <em>p</em> (-3)³ + 4(-3) - 10 = 5
Solve for <em>p</em> :
-27<em>p</em> - 12 - 10 = 5
-27<em>p</em> = 27
<em>p</em> = -1
(b) With <em>f(x)</em> = <em>x</em> + 3<em>x</em> ² - <em>px</em> + 4 and <em>d(x)</em> = <em>x</em> - 2, we have remainder 8, so
<em>f</em> (2) = 2 + 3(2)² - 2<em>p</em> + 4 = 8
-2<em>p</em> = -10
<em>p</em> = 5
(you should make sure that <em>f(x)</em> was written correctly, it's a bit odd that there are two <em>x</em> terms)
(c) <em>f(x)</em> = 2<em>x</em> ³ - 4<em>x</em> ² + 6<em>x</em> - <em>p</em>, <em>d(x)</em> = <em>x</em> - 2, <em>R</em> = <em>f</em> (2) = 18
<em>f</em> (2) = 2(2)³ - 4(2)² + 6(2) - <em>p</em> = 18
12 - <em>p</em> = 18
<em>p</em> = -6
The others are done in the same fashion. You would find
(d) <em>p</em> = 14
(e) <em>p</em> = -4359
(f) <em>p</em> = 10
(g) <em>p</em> = -13/2 … … assuming you meant <em>f(x)</em> = <em>x</em> ⁴ + <em>x</em> ³ + <em>px</em> ² + <em>x</em> + 20
The traveling speed of each ship is :
- Ship A = 24 mph
- Ship A = 24 mphShip B = 26 mph
Distance apart at 12:00 noon = 176 miles
Recall :
Distance = speed × time
Ship A :
Departure time = 9AM
Speed = s
Travel time = 12 - 9 = 3 hrs
Distance covered = 3 × s = 3s
Ship B :
Departure time = 8AM
Speed = 2+s
Travel time = 12 - 8 = 4 hours
Distance = 2+s(4) = 8 + 4s
Distance apart = 3s + (8 + 4s)
176 = 3s + 8 + 4s
176 = 7s + 8
176 - 8 = 7s
168 = 7s
s = 168 / 7
s = 24
Ship A speed = s = 24mph
Ship B speed = s + 2 = 26 mph
Learn More : brainly.com/question/18796573
