Answer:
Step-by-step explanation:
Given:
Solution:
Applying Distributive property,we obtain
Simplifying using PEMDAS:
Done!
Answer:
176 of 12% vinegar
44 of 7% vinegar
Step-by-step explanation:
Percentage vinegar required = 11%
Volume = 220 mL
First brand % = 7%
Second brand % = 12%
Let p = volume of 12% vinegar material
Mixture :
0.12p + 0.07(220 - p) = 220 * 0.11
0.12p + 15.4 - 0.07p = 24.2
0.05p = 8.8
p = 8.8 / 0.05
p = 176
176 of 12% vinegar and
220 - 176 = 44
44 of 7% vinegar
Answer:
none
Step-by-step explanation:
We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.
According to the 'Law of Sines- Ambiguous Case', we have,
If a < b×sinA, then no triangle is possible.
If a = b×sinA, only one triangle is possible
If a > b×sinA, two triangles are possible.
So, we have,
b×sinA = 10 × sin30 = 10 × 0.5 = 5.
Now, as
4 = a < bsinA = 5.
We get, according to the rule, no triangle is possible.
The batch of fruit salad has an equal amount of apples and cherries. This is because there are 1 1/2 c of apples and 1 2/4 c of cherries. the 1 1/2 is already simplified but the 1 2/4 is not. 1 2/4 is the same as 1 1/2, therefore apples and cherries have equal amounts.
