Answer:
5
Step-by-step explanation:
let the number written on the board be x.
1st student's number= x +23
2nd student's number= x -1
<em>1</em><em>st</em><em> </em><em>student</em><em>'</em><em>s</em><em> </em><em>number</em><em>=</em><em> </em><em>7</em><em>(</em><em>t</em><em>h</em><em>a</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>the</em><em> </em><em>2nd</em><em> </em><em>student</em><em>)</em><em>,</em>
x +23= 7(x -1)
x +23= 7x -7 <em>(</em><em>expand</em><em>)</em>
7x -x= 23 +7 <em>(</em><em>bring</em><em> </em><em>constant</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>)</em>
6x= 30 <em>(</em><em>simplify</em><em>)</em>
x= 30 ÷6 (÷6 on both sides)
x= 5
Thus, the number written on the board is 5.
I got that x equals -3.809523 (repeating)
Answer:
30 dogs
Step-by-step explanation:
There are 40 cats, and 25% more cats than dogs. If you find 25% of 40, you get 10. That means there are 10 more cats than dogs. 40-10= 30.
30 dogs.
Answer:
45.8 cm
Step-by-step explanation:
Let the length of other leg be l
By pythagoras theorem,
Answer:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
<em>Note that the functions are assumed but same method can be employed when calculating composite functions</em>
