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vampirchik [111]
3 years ago
5

Iliana's math grade increased from 65 to 86. Fiona's math grade increased from 70 to 80. What is the difference, rounded to the

nearest whole number, between the approximate percent increases? What percent is it
Mathematics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

18%

Step-by-step explanation:

Iliana's math grade increased from 65 to 86.

So, the percentage increase in the her math grade will be \frac{(86-65) \times 100}{65} = 32.31% (Approximate)

Now, Fiona's math grade increased from 70 to 80.

Hence, the percentage increase in her math grade will be \frac{(80-70)\times 100}{70} =14.28% (Approximate)

So, the difference rounded to the nearest whole number between the approximate percent increases in math grades will be

(32.31 - 14.28) ≈ 18%

So, it is eighteen percent. (Answer)

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cestrela7 [59]

Answer:

x = √47

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

We have a right triangle. We can use PT to solve for the missing side length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 5

Leg <em>b </em>= <em>x</em>

Hypotenuse <em>c</em> = √72

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                    5² + x² = (√72)²
  2. Exponents:                           25 + x² = 72
  3. Isolate <em>x</em> term:                      x² = 47
  4. Isolate <em>x</em>:                               x = √47
8 0
3 years ago
Consider the quadratic equation x2 − 6x = 16.
e-lub [12.9K]

Answer:

  1. C) (x − 3)2 = 25
  2. C) Factor out 4 from 4x2 + 40x.

Step-by-step explanation:

1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

  4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4

  4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation

  4(x +5)² = 180 . . . . . . . . . . . written as a square

8 0
3 years ago
Shane purchased a television at a 20% discount. If the sale price is $375.00, what is the original price ?​
Sveta_85 [38]

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Answer:

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2 years ago
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How much simple interest does $4,678.00 earn in 529 days at a rate of 7.3%? Round to the nearest cent.
statuscvo [17]

Answer:

$5,172.93

Step-by-step explanation:

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P = final amount

A = starting amount (4,678)

r = rate (0.073)

t = years (529/365)

P = 4,678(1 + 0.073(529/365))

P = 5,172.9324

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