Answer:
z = 69
Step-by-step explanation:
43 - 20 = z/ 3
23 = 
cross multiply
z = 23 x 3
z =69
Answer:
Infitite solutions (C)
Step-by-step explanation:
They are the same line.
<h3>
Answer:</h3>
- <u>20</u> kg of 20%
- <u>80</u> kg of 60%
<h3>
Step-by-step explanation:</h3>
I like to use a little X diagram to work mixture problems like this. The constituent concentrations are on the left; the desired mix is in the middle, and the right legs of the X show the differences along the diagonal. These are the ratio numbers for the constituents. Reducing the ratio 32:8 gives 4:1, which totals 5 "ratio units". We need a total of 100 kg of alloy, so each "ratio unit" stands for 100 kg/5 = 20 kg of constituent.
That is, we need 80 kg of 60% alloy and 20 kg of 20% alloy for the product.
_____
<em>Using an equation</em>
If you want to write an equation for the amount of contributing alloy, it works best to let a variable represent the quantity of the highest-concentration contributor, the 60% alloy. Using x for the quantity of that (in kg), the amount of copper in the final alloy is ...
... 0.60x + 0.20(100 -x) = 0.52·100
... 0.40x = 32 . . . . . . . . . . .collect terms, subtract 20
... x = 32/0.40 = 80 . . . . . kg of 60% alloy
... (100 -80) = 20 . . . . . . . .kg of 20% alloy
Answer:
Step-by-step explanation:
The percentage of high school students who drink and drive at the beginning of 2001 = 17.5%
The percentage of high school students who drink and drive at the beginning of 20011 = 10.3%
Rate of decrease = 17.5 - 10.3 / 10
= .72
The required linear function
f(t) = - 0.72 x t + 17.5
b ) Rate of decrease in percentage = (17.5 - 10.3) / 10
= .72 %
c ) Percentage of high school students who drink and drive at the beginning of 2014
t = 2014 - 2011 = 13
f(t) = - 0.72 x t + 17.5
= - .72 x 13 + 17.5
= 8.14 %
Answer:
42 + 2n ≥ 80
Step-by-step explanation:
Given,
Naomi's earnings for one day = $ 42,
Also, she earns extra $2 for each CD she sells,
Thus, the extra earning for n CDs = 2n dollars,
So, her total earning for a day if she sells n CDs = ( 42 + 2n ) dollars,
If Naomi wants to earn at least $80 per day,
Her total earning ≥ 80 dollars,
⇒ 42 + 2n ≥ 80
Which is the required inequality.