If you do 2,400 x .12 you get 288
You then need to do 288 and divide it by 12 and you get 24.
Your answer should be A. $24.00
Answer:
[c] The value of w cannot be a negative number.
[d] Substitution is used to replace the variable l with a value of 20.
[e] The subtraction property of equality is used to isolate the term with the variable w.
Step-by-step explanation:
To figure out which steps of the solution are true, let us solve.
2 l plus 2 w equals 62 -> 2l + 2w = 62
----
2l + 2w = 62
2(20) + 2w = 62 <- Substitution is used to replace the variable l with a value of 20.
40 + 2w = 62
2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.
w = 11
This means that the value of w is <em>not</em> 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.
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Answer:
21 pieces of chickens.
Step-by-step explanation:
Given:
The farmer has a total of 40 animals. ( cows and chicken )
He counts the legs of all his animals and realizes he has a total of 118 legs.
Question asked:
How many chickens does the farmer have ?
Solution:
Let number of chickens = 
Then number of cows = 
Now, as here given that total number of legs are 118 of all the animals, and as we know that a chicken has two legs and cow has four legs, hence the equation will be :
<u>Total number of legs = Number of legs having chickens + Number of legs having cows</u>
Subtracting both sides by 160
By adding both sides by minus
By dividing both sides by 2
Hence, farmer have 21 pieces of chickens.
Let c represent the weight of cashews and p the weight of pecans.
Then c + 10 = total weight of the nut mixture.
An equation for the value of the mixture follows:
$1.50(10 lb) + $0.75c = (c+10)($1.00)
Solve this equation for c: 15 + .75c = c + 10. Subtract .75c from both sides:
15 = 1c - 0.75c + 10. Then 5=0.25c, and c = 5/0.25, or 20.
Need 20 lb of cashews.
Check: the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15. The total value of the cashews is (20 lb)($0.75/lb), or $15. Does (20 lb + 10 lb)($1/lb) = $15 + $15? Yes. So c= 20 lb is correct.
<h3>
Answer: Not direct variation</h3>
The reason why is because it can't be written in the form y = kx
If we solved the given equation for y, we get y = -x+6. It has a y intercept of 6, but it should be zero if we wanted a direct variation equation.
