Answer:
The two numbers are 40, and 27.
Explanation:
Since there are only two numbers, with two different aspects, you can just make
a system, and solve.
A sum of two numbers adding up to 67 can be modeled by: x + y = 67.
A difference of those same two numbers being 13 can be modeled by: x – y = 13.
You can add the two equations together to eliminate the y value because the -y and y will cancel out:
x + y = 67.
+ x – y = 13.
And you get: 2x = 80.
Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:
2x = 80
÷2 ÷2
x = 40.
So the first number is 40.
Since we know the first number, we can immediately find the other number by substituting it into the first equation.
x = 40 → x + y = 67
(40) + y = 67
-40. -40
Subtract from both sides to cancel the constant terms.
Then you will get that y or the second number is y = 27.
This is true because 40 + 27 = 67, and 40 - 27 = 13.
Hello,
Here is your answer:
The proper answer to your question is "5/12".
Here is how:
All you have to do is subtract 4/6 and 1/4:
4×2=8
6×2=12
-
1×3=3
4×3=12
8-3=5
Your answer is 5/12!
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
B'(- 2, 2 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is
B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )
Answer:
B.12 ounces
Step-by-step explanation:
step 1
Find out the ounces of orange juice concentrate used yesterday
Let
x ----> ounces of orange juice concentrate used yesterday
y ---> ounces of water used yesterday
we know
that
----> equation A
----> equation B
substitute equation B in equation A
solve for x
step 2
today she wants to make twice as much orange juice.
To find out how much orange juice concentrate she needs, multiply the ounces of orange juice concentrate used yesterday by 2
so
-1/4(2x+5y)
Hope I helped :)
