Answer:
12
Step-by-step explanation:
9/3=25%/3
3*4=100%/12
9514 1404 393
Answer:
11.9 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the side opposite the angle (BC) and the hypotenuse (14 cm).
Sin = Opposite/Hypotenuse
sin(58°) = BC/(14 cm)
BC = (14 cm)×sin(58°) . . . . . multiply by the denominator
BC ≈ 11.9 cm
The line and parabola intersect at about x=-2 and x=1.5 so the solution is A. x = -2
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
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