Answer:
The correct ratio is 7:8, so no, Emma is not correct.
A) nth term is n^2 + 1
b) nth term is (n - 1)^2
If the area is 90 square units. Then the dimension of the rectangle will be 5 units and 18 units.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L×W square units
The width of a rectangle is 13 units less than the length.
If the area is 90 square units.
W = L – 13
Then we have
90 = L(L – 13)
L² – 13L – 90 = 0
L² – 18L + 5L – 90 = 0
L(L – 18) + 5(L – 18) = 0
(L – 18)(L + 5) = 0
L = -5, 18
Then the width will be
W = 18 – 13
W = 5 units
Then the dimension of the rectangle will be 5 units and 18 units.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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<span>2 liters" only shows one significant figure. This "2 liters" can be anything from 1.9 liters to 2.1 liters. Actually, to be more strictly correct, the 2 liters can be between 1.5 liters and 2.4 liters. Either of these bounds would be 2 to the nearest ONE's place.
The biggest percent error would be between 2 and 1.5, which is a volume error of 0.5 liters.
Thus: (0.5/2)*100=25% C: is your Answer</span>
Answer:
John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
Step-by-step explanation:
Let the number of grams of the 30% solution = x
Let the number of grams of the 60% solution = y
John needs 20 grams of 54% acid solution for his science project.
Hence,
x + y = 20 grams..... Equation 1
x = 20 - y
His school's science lab has bottles of 30% solution and bottles of 60% solution.
30% × x + 60% × y = 54% × 20
0.3x + 0.6y = 10.8......Equation 2
We substitute 20 - y for x in Equation 2
0.3(20 - y) + 0.6y = 10.8
6 - 0.3y + 0.6y = 10.8
- 0.3y + 0.6y = 10.8 - 6
0.3y = 4.8
y = 4.8/3
y = 16 grams
x = 20 - y
x = 20 - 16
x = 4 grams
Therefore, John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
