Answer:
Step-by-step explanation:
1. x+2y=6 or x=6-2y
3x-2y=2
3(6-2y)-2y=2
18-6y-2y=2
18-8y=2
-8y=-18+2
-8y=-16
y=-16/-8
y=2 ans.
x+2*2=6
x+4=6
x=6-4=2 ans.
Proof:
3*2-2*2=2
6-4=2
2=2
I leave the rest for you to practice with.
3. 4x+y=7
2x+5y=-1
5. 3x+2y=-2
6x-y=6
Solve the system using the elimination method. Show all your steps.
7. -3x+3y=3
3x+y=9 add.
---------------------------------
4y=12
y=12/4
y=3 ans.
3x+3=9
3x=9-3
3x=6
x=6/3
x=2 ans.
Proof:
-3*2+3*3=3
-6+9=3
3=3
I'll leave the rest for practice.
9. -5x+12y=20
x-2y=-6
11. 3x+2y=1
4x+ 6y= 7
7 * 38 + 3*45 - 56
use order of operations
(7*38) + (3*45) - 56
266 + 135 - 56
=345
For this question we will use the following relations.
100 centimeters=1 meter (or 1 centimeter= 0.01 meter)
10 millimeter=1 centimeter (or 1 mm=0.1 cm)
60 minutes = 1 hour (or 1 min=
hour)
Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:
...Equation 1
Likewise, Jonah's swim speed in cm/min can be calculated as:
...Equation 2
As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.
Thus, option B is correct.
2x+79+32=180
2x+111=180
2x=69
x=34.5
Answer:
Step-by-step explanation:
The numbers 0 and 1 are neither prime nor composite. They are too special because they represent nothingness (zero) and wholeness (one), so the idea of having factors for 0 and 1 does not make sense. ... For example, all even numbers are divisible by two, and so all even numbers greater than two are composite numbers.if a natural number is not prime, then we say that it is composite. ... Example: The value six, 6, is a composite number because it has four counting number factors: 1, 2, 3, and 6. We have 1 · 6 = 6 and 2 · 3 = 6. It turns out that mathematicians have declared that 1 is neither prime nor composite.
