Answer:
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Step-by-step explanation:
Ivan = 4x
Tanya = 1x
Total = 150
4x + x = 150
5x = 150 ; x = 150 / 5 = 30
Ivan = 4x = 120
Tanya = 1x = 30
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Answer:
C
Step-by-step explanation:
(2,3) to (5,-4) its (3,-7) so you jus add (3,-7) to (6,-2) and it gives you (9,-9)
I dont know if it makes sense but yea
Answer:
10 days
Step-by-step explanation:
Jenny has read 50 pages and will read 15 each day.
The equation would be: 15x+50
Mark will read 20 pages daily.
The equation would be: 20x
In both equations x represents days.
You set both equal to each other because you want to know when they read the same amount of pages.
15x+50=20x
...you subtract 15x from both sides
50=5x
...and divide by five to get: 10 days
Answer:
The exact value of sin A is opp/hyp = -12/13
Step-by-step explanation:
If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive. Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2, Therefore y = √(hyp^2 - adj^2), or
y = -√(13^2 - 25) = -√144 = 12.
The exact value of sin A is opp/hyp = -12/13
Answer:
Notebooks cost $2.75 and pens cost $1.10.
He can also buy 3 notebooks.
Step-by-step explanation:
In order to find this, we need to create two equations given each of the situations.
3n + 2p = 10.45
4n + 6p = 17.60
Now to solve for n, multiply the top equation by -3 and add together.
-9n - 6p = -31.35
4n + 6p = 17.60
----------------------
-5n = -13.75
n = 2.75
Now that we have the value of notebooks, we can find the amount for pens using either equation.
3n + 2p = 10.45
3(2.75) + 2p = 10.45
8.25 + 2p = 10.45
2p = 2.20
p = 1.10
Finally, to find the number of notebooks that he can purchase, find the cost of a notebook with 3 pens.
n + 3p
2.75 + 3(1.10)
2.75 + 3.30
6.05
Now divide 22 by that number
22/6.05 = 3.63
Since we can't have fractional notebooks, we round down to 3.
