To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.
A proportion is defined as an equality between two ratios.
Consider two ratios a:b and c:d. Then, the proportion we can write,
a: b = c : d
Then, the simplification we have for this proportion is
a/b = c/d or ad = bc
It is given that, a certain test is worth 135 points.
One to get 85% on this test, he/she needs to get X number of points.
So, we can write the proportions as
X : 135 = 85 : 100
⇒ X/135 = 85/100
⇒ X = 85/100 × 135
∴ X = 114.75 ≅ 115 points
Learn more about proportions at the following link:
brainly.com/question/140018
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Answer:
6890+1408+3250=11503 and vicky has 10650 so 11503-10650= 898 vicky needs more 898
Step-by-step explanation:
The answer is 5 students.
This problem is a division problem.
To solve, divide 4 by 4/5.
There is a strategy for this- Keep, Change, Flip.
Keep the dividend like it is, which is 4 or 4/1.
Change the division to multiplication.
And flip the divisor- 4/5 to 5/4.
When you multiply, you should get 20/4.
Simplify by dividing 20 by 4.
20 divided by 4 is 5.
So the answer is 5 students
#1-List all outcomes for choosing the digit. *
0)
O
A: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
B: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
C: 1, 2, 3, 4, 5, 6, 7, 8, 9
OD: a number
Both B and C
∠ DAB = 48°
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
A) 16.13 = 12(1.03)ⁿ
1.344 = (1.03)ⁿ
ln(1.344) = n(ln(1.03))
n = (ln(1.344)) / ln(1.03)
n = 10.0062...
so a domain of 0 ≤ n ≤ 10 is reasonable
B) y-intercept is the height of the plant on day 0 which would be 12 cm
C) f(3) = 12(1.03)³ = 13.11 cm
average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7
= 0.43 cm/day or average growth per day
