<h3>Given</h3>
1 (female) pharmacist counting prescriptions at the end of the day
(prescriptions for antibiotics) = (7/4)×(prescriptions for tranquilizers)
33 = (prescriptions for tranquilizers) + (prescriptions for antibiotics)
<h3>Find</h3>
The number of (prescriptions for tranquilizers)
<h3>Solution</h3>
Let <em>x</em> represent the number of <em>prescriptions for tranquilizers</em>. Then the number of prescriptions for antibiotics is (7/4)x, and the total number of prescriptions is
... 33 = x + (7/4)x . . . . . . . . . . put the given information in the given relation
... 33 = (4/4)x + (7/4)x . . . . . . rewrite 1 as 4/4 so we can add to 7/4
... 33 = ((4+7)/4)x = (11/4)x . . . simplify
... 33×(4/11) = (4/11)×(11/4)x . . . multiply by the reciprocal of the coefficient of x
... 12 = x . . . . . . . . . . . . . . . . . simplify
The pharmacist had 12 prescriptions for tranquilizers.
The pharmacist had 33-12 = 21 prescriptions for antibiotics.
There was 1 pharmacist and 33 prescriptions.
Okay move the decimal 2 times to the right
230/100
Divide both denominator and numerator by 10 so now it’s 23/10
23/10 simplified is 2 3/10 as a mixed number
Hope this helped! Have a nice day or night :)
Answer:
They keep on adding by even numbers. From 1-3 there is 2 between the number from 3-7 it's 4 from 7-13 its 6 from 13-21 it's 8.
Step-by-step explanation:
The next number is the sequence would be 31 beucase 10 is the next even number and 21+10=31.
Answer:
Roots are [4, -14}.
Step-by-step explanation:
1/2 (x+5)^2 + 2 = 42.5
Work out the square of the parentheses:
1/2 ( x^2 + 10x + 25) + 2 = 42.5
Multiply the parentheses by 1/2:
1/2 x^2 + 5x + 12.5 + 2 = 42.5
Subtract 42.5 from both sides of the equation:
1 /2x^2 + 5x +14.5 - 42.5 = 0
Simplify:
1/2 x^2 + 5x - 28 = 0
Multiply through by 2 to get rid of the 1/2:
x^2 + 10x - 56 = 0
Factor:-
(x + 14)(x - 4) = 0
Either x + 14 = 0 giving x = -14.
or x - 4 = 0 giving x = 4.
Answer:
a = 
- k
Step-by-step explanation:
Given
u = (a + k)(v - w) ← divide both sides by (v - w)
= a + k ( subtract k from both sides )
- k = a
