Answer:
3
Step-by-step explanation:
Step-by-step explanation:
I assume you meant :
the restaurant has 20 1/2 pounds of bananas.
one smoothie uses 1/8 pound of bananas.
how many smoothies can be made with the amount of available bananas ?
the answer is as many as the times 1/8 fit into 20 1/2.
so, we actually calculate
(20 1/2) / (1/8)
first we will convert the mixed number into a true fraction :
20 1/2 = 40/2 + 1/2 = 41/2
so we have
41/2 / 1/8
and then, when dividing fractions we have 2 choices (they do both the same, of course, but start looking differently) :
a/b / c/d = a×d / b×c
a/b / c/d = a/b × d/c = a×d / b×c
so,
41/2 / 1/8 = 41×8 / 2×1 = 41×4 = 164
they can make 164 smoothies.
Answer:
x= 37.5°
Step-by-step explanation:
∠CBD
= 180° -75° (adj. ∠s on a str. line)
= 105°
∠BCD= ∠BDC (base ∠s of isos. △BCD)
∠BCD= x
∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)
x +x +105°= 180°
2x= 180° -105°
2x= 75°
x= 37.5°
<u>Alternative</u><u> </u><u>working</u><u>:</u>
∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)
∠BDA= 52.5°
∠BDA +∠BDC= 90°
52.5° +x= 90°
x= 90° -52.5°
x= 37.5°
Answer:
20%
Step-by-step explanation:
the units of measure must be the same, so
2m = 2 × 100 cm = 200 cm
then
× 100%
= 0.2 × 100%
= 20%