Answer:
-3
Step-by-step explanation:
Convert every fraction to an improper fraction just to make it easier.
43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)
Distribute.
= 43/10 -12/5x - 11/2 = -18/10x + 6/10
Simplify using the common denominator, which is 10.
43/10 - 24/10x - 55/10 = -18/10 + 6/10
Isolate the x.
-24/10x + 18/10 = -43/10 + 55/10 + 6/10
Simplify.
-6/10x = 18/10
Multiply by the reciprocal (basically dividing fractions)
18/10 x -10/6
= -3
Answer:

Step-by-step explanation:
<u>Question</u>:
- Find the distance between (-4,-3) (2,1)
<u>To find:</u>
- The distance between (-4,-3) (2,1).
Use the distance formula.
<u>Distance formula:</u>



Solve.

- <u>Therefore, the final answer is 2√13.</u>
I hope this helps, let me know if you have any questions.
To find the answer,we can first calculate how much her sister took away by multiplying the original amount he has to the amount her sister took.
Her sister has:
7/12×2/5
=7/30
We can then find the amount of pizza left by deducting the pizza he has to the answer we found above:
7/12-7/30
=35/60- 14/60
=21/60
=7/20
Therefore he has 7/20 of a pizza left.
An alternative way to find the answer:
7/12×(1-2/5)
=7/12×3/5
=7/20
Hope it helps!
Answer:
16/20
Step-by-step explanation:
We can write this as a proportion
4 x
----- = ----------
5 y
Using cross products
4y = 5x
We know that x+y = 36
We have 2 equations and 2 unknowns.
4y = 5x
x+y =36
Divide by first equation by 4
y = 5/4 x
substitute this into the 2nd equation
x + 5/4x = 36
Getting a common denominator
4/4x + 5/4 x = 36
Combining like terms
9/4 x =36
Multiply each side by 4/9 to isolate x
4/9 * 9/4x = 4/9*36
x = 16
Now we need to find y
y = 5/4x
y = 5/4 (16)
y= 20
The fraction is x/y
16/20
As I cannot help you do your assignment since you didn't upload the questions, I can just give you the instructions.
I believe you are supposed to open the Student Guide that your cursor is hovering over (the boxed line in the picture) and then solve the problems (or do) the stuff inside. Then, you take a picture of your work/answers and upload that to the File Upload below.