Answer:
2
Step-by-step explanation:
Part 1)
we have
------> equation A
------> equation B
Multiply by the equation A
------> equation C
Multiply by the equation B
-------> equation D
Adds equation C and equation D
therefore
<u>the answer Part 1) is the option A </u>
Part 2)
we have
------> equation A
Simplify Divide by both sides
------> equation B
the lines A and B are parallel lines, because the slope m is equal
so
The system has no solution
therefore
<u>the answer Part 2) is the option D</u>
There is no x value as there is no solution to the system.
Part 3)
we have
------> equation A
------> equation B
substitute equation B in equation A
therefore
<u>the answer part 3) is the option D</u>
Part 4)
Let
x---------> The number of one-step equations
y---------> The number of two-step equations
we know that
-------> equation A
------> equation B
substitute equation A in equation B
therefore
<u>the answer part 4) is the option D</u>
Answer:
Step-by-step explanation:
The number of red marbles in the bag is; .
The number of blue marbles in the bag is; .
The number of white marbles in the bag is; .
The total number of marbles in the bag is: .
The probability of selecting a blue marble is
We substitute the given information to obtain:
We simplify to obtain:
So I think maybe the example for the first problem created some confusion, and you may want to have your child take another look.
If we numbered the top half 1 to 9 going from left to right, numbers 1, 2, 6, 7 and 8 are right. They worked because the top number (numerator) perfectly fit into the bottom number (denominator). This is not true for the rest.
The key is to find the largest number that you can think of that will go into BOTH the top and the bottom evenly.
So for number 3: 18/24; 18 does not fit evenly into 24. The highest number that will fit into both is 6, so you divide both top and bottom by 6 and your answer is 3/4.
Number 4: 45/54; the highest number that goes into both is 9, so you divide both top and bottom by 9 and your answer is 5/6.
Number 5: 55/66; the highest number that can go into both is 11, so the answer is 5/6.
Is this making sense?
The bottom, numbering 1 to 9 from left to right. The correct ones are 1, 6 and 9.
For 2: 14/41 is about 15/40. Both can be divided by 5, so the answer is 3/8.
For 3: 20/81 is about 20/80, and 2/8 is close, but can still be divided by 2, so the answer is 1/4.
For 4: 24/49 is closer to 25/50 than 20/50. 25/50 can be divided by 25, so the answer is 1/2.
For 5: it was all correct, but the answer can be further reduced from 2/8 to 1/4.
For 7: 23/72 is about 25/75, and 25 goes into both, so it reduces to 1/3.
For 8: 13/21 is about 15/20, and 5 goes into both, so the answer is 3/4.
As your child continues to learn this, remember that if he or she gets an answer like 2/6 or 6/12, they should ask themselves if they can further reduce the fractions- 2/6 reduces to 1/3, and 6/12reduces to 1/2. I know it's confusing, but they do get the hang of it with practice
This is not a difficult question and I will help you solve it :)
When calculating 1/10 from 40, what we have to do is this:
(1/10) * 40 = 4
This means that we have to multiply 40 by 1 and divide by 10 :)
So the answer in this case is 4.