.8 (88%)+.2x=90%
70.4%+.2x=90%
subtract 70.4% from 90% to get 19.6%
make the .2x into 2 and the 19.6 into 196
divide 196 by 2 to come up with the answer of 98%.
you will need a 98% to have a 90% for the final grade
Answer:
0.065
Step-by-step explanation:
64.9 / 1000 = 0.0649 --> 0.065
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
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<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
Answer:
y = 6x - 2
Step-by-step explanation:
slope intercept form is y = mx + b
m = slope
b = y-intercept
They give us the slope (m) which is 6 and the y-intercept (b) which is -2. PLug it into the equation
y = mx + b
y = 6x - 2
Answers:
- Total amount of money = 220 dollars
- Amount Farah gets = 100 dollars
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Explanation:
- F = amount Farah gets
- S = amount Shaiyara gets
- Z = amount Zahin gets
The money is divided in the ratio 10:7:5
This means that
for some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
- F = 10x = 10*10 = 100
- S = 7x = 7*10 = 70
- Z = 5x = 5*10 = 50
The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
