Step-by-step explanation:
2(4*6/2)+2(11*6/2)=24+66=90
Answer: C
<u>Step-by-step explanation:</u>
Replace x with
and solve.
f(x) = 3x² - 6x - 1
f(
) = 3(
)² - 6(
) - 1
= 3(
) + 4 - 1
=
+ 3
=
+ 
= 
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.
Answer: $4 per yard
Step-by-step explanation:
From the question, we are informed that Liane is sewing new curtains for her bedroom and that she bought 3 yards of fabric and her total cost was $12.
Her cost per yard will be the amount she bought the fabric divided by 3. This will be:
= $12 / 3
= $4 per yard