Answer:
Step-by-step explanation:
Since the triangles are equivalent,
3x - 2 = 5
Solve for x.
3x = 7
x = 7/3
Answer: 1. -11=x 2. 24=x 3. x=-12 4. -7 5. x=7
Step-by-step explanation: The answer to first one can be calculated by seeing the - as a -1.
-5 = x - (-6)
-5=x+6
Then subtract 6 from both sides.
-5=x+6
-11=x
The answer to the second can be found simply by dividing both sides by 1.25.
- 30=1.25x
-30/1.25=1.25x/1.25
24=x
The third one can be solved by as we said before dividing both sides by -6.
-6x=72
-6x/-6=72/-6
x=-12
The fourth one can be found again by using division on both sides.
-4.9=0.7x
-4.9/0.7=0.7x/0.7
-7=x
Finally we solve the last one by again doing the same thing dividing both sides by 0.45.
3.15=0.45x
3.15/0.45=0.45x/0.45
7=x
Hope this helps!
Answer:
20 apples, 32 pears
Step-by-step explanation:
Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).
One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.
Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.
Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.
Dividing by 0.2 gives a=20.
We can sub this into either equation to get the value of p.
a+p=52, so 20+p=52, meaning p=32.
**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!
Answer:
d
Step-by-step explanation:
