Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
Ok. So first, we calculate the slope!
m=(y2-y1)÷(x2-x1)= (5-2)÷(3-1)=3/2.
Now that we have the slope, we can start to write an equation for the line by plugging in the given points. b is the y-intercept.
y=mx+b.
2=(3/2)1+b
b=2-(3/2)=2-1.5=.5 or 1/2
so the y-int is (0,.5 or 1/2) .
Next, we have to find the x-int.
to do that, we just plug in 0 for the y.
0=1.5x+.5
x=-.5/1.5= (1/3)
so the x-intercept is
(1/3 or .33,0).
The second choice is not a relation.
The first and third choices have multiple (input, output) pairs that have the same input. Such a relation is not a function. Any time you see this, you know the relation is NOT a function.
The best answer is the 4th choice ...
... {(0, -9), (-9, 0), (-3, -3)}
Answer:
D.
Step-by-step explanation:
Clyde's present age is 7+8, because he has aged 8 years since he was 7.
So, the equation would be C=7+8.
However, that equation isn't listed so you need to move some numbers around.
If you subtract 8 from both sides of the equation C=7+8, you get C-8=7, which is D.
Hope this helps! :)
Answer: Should be 140000 cm
Step-by-step explanation:I may be wrong but 240 x 5 is 1400 and that to cm is 140000