Answer:
75 cups of juice
Step-by-step explanation:
He needs 100 servings and if 1 serving makes 0.75 cups of juice, then mulitply 0.75 × 100 to find how much juice is needed:
0.75 × 100 = 75 cups of juice
The equivalent measures to 3 yards are;
108 inches and ; 6 ft 36 inches
Here, we want to get the values of the measurements that are equivalent to 3 yards
To do this, we need to know how to convert between the various measure types
We proceed as follows;
Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet
So, 3 yards is (3*36) = 108 inches
Also, 3 yards is (3*3) = 9 feet
Also, 1 ft is 12 inches;
So, 6 ft 12 inches is 7 feet
108 inches is as seen above, so 3 yards equal this
3 yards is not 108 feet as calculated above
6 ft 36 inches
36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft
So, the correct answers here are 108 inches and 6 ft 36 inches
Answer:
Step-by-step explanation:
<JKL = 90 ( being inscribed angle in semi circle )
< JKP = 38 ( Inscribed angles on same arc are equal )
So now
<PKL = <JKL - < JKP
= 90 - 38
= 52
FINALLY
ARC PL = 2 * < PKL (Relation between arc and inscribed angle )
ARC PL = 2 * 52
= 104
hope it helps :)
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
