Answer:
per teacher = 20 students
per tutor = 12 students
72 students = 18 tutors
Step-by-step explanation:
Divide 60 by 3 to get 20
Divide 48 by 4 to get 12
Divide 72 by 4 to get 18
Answer:
Step-by-step explanation:
According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. For us, in our triangle:
a + 2b + 70 = 180 so
a + 2b = 180 -70 and
a + 2b = 110. That's why.
Answer:
4/27
Step-by-step explanation:
total number of marbles=9
probability of red=4/9
since you returned the first marble, the total number of marbles remains the same
prob(Blue)=(3/9)=1/3
P(red then blue)=(4/9)*(1/3)
=4/27
<span>Multiply the first equation by -2,and multiply the second equation by 1.</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=11</span>)</span></span><span>1<span>(<span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>)</span></span>Becomes:<span><span><span>−<span>2x</span></span>−<span>8y</span></span>=<span>−22</span></span><span><span><span>2x</span>+<span>2y</span></span>=<span>−8</span></span>Add these equations to eliminate x:<span><span>−<span>6y</span></span>=<span>−30</span></span>Then solve<span><span>−<span>6y</span></span>=<span>−30</span></span>for y:<span><span><span>−<span>6y</span></span><span>−6</span></span>=<span><span>−30</span><span>−6</span></span></span>(Divide both sides by -6)<span>y=5</span>Now that we've found y let's plug it back in to solve for x.Write down an original equation:<span><span>x+<span>4y</span></span>=11</span>Substitute5foryin<span><span><span>x+<span>4y</span></span>=11</span>:</span><span><span>x+<span><span>(4)</span><span>(5)</span></span></span>=11</span><span><span>x+20</span>=11</span>(Simplify both sides of the equation)<span><span><span>x+20</span>+<span>−20</span></span>=<span>11+<span>−20</span></span></span>(Add -20 to both sides)<span>x=<span>−9</span></span>Answer:<span><span>x=<span>−<span><span>9<span> and </span></span>y</span></span></span>=<span>5</span></span>
