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:
x=11
Step-by-step explanation:
Since this is a 90º angle, 46º+(4x)º has to equal 90º, and you can make and solve an equation for this:
46+4x=90
4x=44
x=11
Check:
46+4x=90
46+4(11)=90
46+44=90
90=90
Answer:
Common difference(d) 
(21) -10 -548
(22) -7 -323
(23) 10 547
(24) -100 -5118
Step-by-step explanation:
Let the common difference be denoted by 'd'.
Also the nth difference of an arithmetic sequence is given by: 
(21)
We are given a recursive formula as:

The first term is given by:

The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

The nth term of an arithmetic sequence is given by:

Here
and
.
Hence, 
Hence, 
(22)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
(23)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
(24)


The common difference for an arithmetic sequence is given by:

Hence, here we have the common difference as:

Here
and
.
Hence, 
Hence, 
Answer:

Step-by-step explanation:

For 1: I used a calcultor I first wanted see how many groups of 24 their are out of 200. So I put in 200 / 24 = 8.33333333 Then I wanted to see the total number of students that have a tablet so I multiplied that 8.33333333 by 6 and got =50. So 50 out of 200 students have an electronic tablet.
2: I just used a calculator: 2.25 * 5 = 11.25 kilometers