6. Bons grocer wishes to mix some nuts worth 90 cents per pound with some nuts worth $1.60 per pound to make 175 pounds of a mix
2 answers:
Answer:
75 pounds and 100 pounds.
Step-by-step explanation:
Given:
Bons grocer wishes to mix some nuts worth 90 cents( $0.9) per pound with some nuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound.
Question asked:
How much of each should she use?
Solution:
Let there are two types of nuts mixed in the mixture, one is nut A and another is nut B.
As we know:
1 cent = $0.01
90 cents = $0.01 90 = $0.9
Let quantity of nut A mixed =
Quantity of nut B mixed =
Total quantity of mixture = 175 pounds
Total cost of mixture = Cost per pound Total quantity of mixture in pound
= $1.30 175 = $227.5
As mixture is prepared by mixing two types of nuts:-
Cost per pound of nut A Quantity mixed + Cost per pound of nut B
By subtracting both sides by 280
Minus canceled by minus
Substituting the value:-
Quantity of nut A mixed = = 75 pounds
Quantity of nut B mixed = = 175 - 75 = 100 pounds
Therefore, Bons grocer wishes to mix<u> 75 pounds of nuts worth 90 cents</u> ($0.9) with <u>100 pounds of some nuts worth $1.60 </u>per pound to make 175 pounds of a mixture that is worth $1.30 per pound.
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Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° = . Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:
Using a calculator, the answer would be:
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
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