ANSWER
EXPLANATION
The given function is
To find f(a+2) we substitute x=a+2.
That is wherever we see 'x' we replace it with 'a+2'
We simplify further to obtain:
This is defined for
Solve for x x-15.99 - 5806 A) -42.07 B) - 74.05 42.07 D) 74.05
1 answer:
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<u>ANSWER: </u>
132 ml of 7% vinegar of first brand must be mixed with 88 ml of 12% vinegar of second brand to obtain 220 ml of 9% vinegar.
<u> SOLUTION: </u>
First, set up table. Fill in the unknowns with variables x and y. The table is attached below.
From the table, we can easily set up the two equations.
Sum of values of two brands vinegar = Value of mixture
0.07x+0.12y=19.8
For convenience, we'll multiply the entire equation by 100,
7 x + 12 y = 1980 ------ eqn (1)
Now, Sum of amounts of each vinegar brand = Amount of mixture
x + y = 220 --------- eqn (2)
multiply eqn (2) with 7 for easy calculation and derive the equation into one variable.
7x + 7y = 1540 ---- eqn 3
Subtracting equation (3) from (1),
0 + 5y = 440
Thus,
5y = 440
Substituting y = 88 in eqn (2),
7x + 7( 88 ) = 1540
7x + 616 = 1540
7 x = 1540 - 616 = 924
So, we have x = 132 and y = 88
We can conclude that 132 ml of 7% vinegar of first brand must be mixed with 88 ml of 12% vinegar of second brand to obtain 220 ml of 9% vinegar.
a. 80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. The weaver must sell more than 5 wall hangings in order to make the profit positive.
Step-by-step explanation:
Amount spent on supplies = $420
Selling price of each wall hanging = $80
Let,
x be the number of wall hangings sold.
Selling price of x wall hangings = 80x
a. Write an inequality that gives the possible numbers w of wall hangings the weaver needs to sell in order for the profit to be positive.
In order for the profit to be positive, the weaver must sell wall hangings of worth more than the amount of supplies, therefore,
80x > 420
80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. What are the possible numbers of wall hangings the weaver needs to sell in order for the profit to be positive?
Solving the inequality from part a;
80x > 420
Dividing both sides by 80
Rounding off the nearest whole number;
x>5
The weaver must sell more than 5 wall hangings in order to make the profit positive.
Keywords: inequality, division
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