3 years ago

Subtract the quotient of 18 and 2 from the sum 22 and 9

1 answer:

6 0

Quotient, implies division, so the quotient of 18 and 2 is 6:

18/2=6

Sum implies addition, so the sum of 22 and 9 is 31:
22+9=31

Now we can subtract the quotient of 18 and 2, '6', from the sum of 22 and 9, '31'.

31-6=25

Answer=25

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Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per

BartSMP [9]

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

40x+20y= 360

x+y=14

Solve for y in each equation:

40x+20y = 360 x+y = 14 20y = -40x+360

$\frac{-20y}{20}$ = $\frac{-40x+360}{20}$

y = -2x+18

7 0

3 years ago

Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr

zhannawk [14.2K]

We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA= $\sqrt{3}$ . Hence CM=GC+GM=3* $\sqrt{3} /$ . Now, since GM is normal to AB, we have by the pythagoeran theorem that:
$AC^2=AM^2+GM^2=BM^2+GM^2=BC^2$
Hence, we calculate from this that AC^2= 28, hence AC=2* $\sqrt{7}$ =BC. Thus, the perimeter of the triangle is 2+4* $\sqrt{7}$ .