Answer:
Step-by-step explanation:
(x,y)→(-x,-y) (180° about the origin)
1.p(-3,2) ,in the second quadrant
P(-2,-3) is in 4th quadrant.
in the clockwise it is rotation of 270° about the origin.
2.
Q(-4,-5) is in 4th quadrant.
Q(4,5) is in 1st quadrant.
so it is 180° rotation in the clockwise direction.
3.
R(1,7) is in 1st quadrant.
R(7,-1) is in 4th quadrant.
Hence it is 90° rotation about the origin in clockwise direction.
Let
x--------------> total volume of a glass
we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x
<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³
the answer is
<span>the total volume of the glass is 980 cm</span>³
Answer:
-3,2
Step-by-step explanation:
This question involves a system of equations.
for the variables we will use c for computer, p for printer, and s for scanner.
in order to solve a system of equations, we need to solve one variable, so we will just pick c because we are solving for the computer.
when we set up the
equation, we need to convert all the variables into an applicable form of c, since that is the variable we are solving for. we can do this because we have information on how the other variables differ on c.
so we get these translations:
c = c
p = c - 1502
s = p - 123
however, the scanner is not translated to c yet, it is translated into p, but we know p can translate into c, so we plug in the equation for p as so:
s = (c - 1502) - 123
which translates to
s = c - 1625
now we have
c = c
p = c - 1502
s = c - 1625
now that we have the translations, we have to use the original equation given to us which is
c + p + s = 2543
which, with our translations can be said as
c + (c - 1502) + (c - 1625) = 2543
which simplifies to
3c - 3127 = 2543.
now, we add 3127 to both sides to get
3c = 5670
then, we divide 3 to both sides to get
c = 1890
so the computer costs 1890.
if you want to find the price for the printer and scanner, simply take c and plug it in to the other equations as so.
p = 1890 - 1502 (388)
s = 1890 - 1625 (265)
Answer:
15 parts
Step-by-step explanation:
Sugar: 20/4=5 you are doing five times the recipe because your using 5 times as much sugars. So for the flour 3*5=15
