1. 44
2. 126.854
3. 9 5/12
4. so 0.00635
5. 5*5*11
6. 704
7. 4
8. 8,3'9
9. $1296
10. absolute value meas that whatever the result is in between the abolute value signs you make it positive so if 2-3 wer in absolute value signs the answer would be +1
11. prime 2=2
12. composite 9=3*3
13. prime 29=29
14. composite 51=3*17
15. composite 77=
16. prime 101=101
17. composite 231=3*7*11
18. composite 4924=2*2*1231
19. prime 1=1
20. prime 31=31
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
Answer:
Step-by-step explanation:
we have
----> equation A
-----> equation B
----> equation C
adds equation A and equation C
-----> equation D
adds equation B and equation C
-----> equation E
we have the system
-----> equation D
-----> equation E
Multiply equation E by -1.5 both sides
-----> equation F
adds equation D and equation F
<em>Find the value of z</em>
substitute the value of y in equation E (or substitute in equation D)
<em>Find the value of x</em>
substitute the value of y and z in equation A (or equation B or C)
therefore
The solution of the system of equations is
Answer:
160 dollars
Step-by-step explanation:
So you would add 6.19 and 9.81 together. Then divide it by 2. You would get 8. Then multiply it by 20 and you would get 160 dollars
Answer:
4
Step-by-step explanation:
60 minutes can be broken down into 4 quarters of time - 15 minutes
