Answer:
Add the length of the sides of the yard to find the Perimeter
.
Step-by-step explanation:
Answer: There are 20 goats and 18 chikens.
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
If the number of chickens is represented by C, and the number of goats is G.
Total of Animals equation:
a)C+ G = 38
Total of legs equation (since chickens have 2 legs and goats have 4 ):
b)2C + 4 G =116
If we multiply a) by 2 and subtract a) from b).
<em>2C + 4 G =116
</em>
<em>-
</em>
<em>2C + 2 G =76
</em>
<em>_________
</em>
<em>2G = 40
</em>
G = 40/2
G= 20
Replacing the value of G on any equation:
a) C+ (20) =38
C =38-20
C=18
There are 20 goats and 18 chickens.
Answer:
50 cents per lollipop
Step-by-step explanation:
The full bag of lollipops costs 5.99 for 12 lollipops. You must use proportions.
5.99. _ X
———. ——
12. 1
Cross multiply to get 5.99 = 12x. Isolate the variable (x) by dividing by 12. 5.99/12 = 0.499166666666667
Because it is a price, round to the nearest hundredth and it costs about 50 cents per lollipop
<h3>
Answer: E) y = -25/13</h3>
=========================================================
Work Shown:
Let x = log(y+2)
The given equation becomes
4x = 3x-log(13)
Solving for x leads to
4x-3x = -log(13)
x = -log(13)
Then substituting gets us
log(y+2) = -log(13)
log(y+2) = log(13^(-1)) .... use the rule that A*log(B) = log(B^A)
log(y+2) = log(1/13)
y+2 = 1/13 ................. used the rule if log(A) = log(B), then A = B
y = (1/13) - 2
y = (1/13) - (26/13)
y = (1-26)/13
y = -25/13 .... answer is choice E
For each step, the logs are the same base. The base doesn't matter. It can be base 10 or base 2 or base e. As long as the base stays consistent is all that matters. Also, the base cannot be 1, 0 or a negative number. The base can be any other real number.
