Use substitution to solve the
following system of equations.
-3x + 2y = 5 AND x = 2y - 3
Answers
Step-by-step explanation:
everything can be found in the picture
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3/4 (6x + 1) - 3x = 1/4 (2x - 1)
Round the number to the hundredths place 12, 863 .14 846?A. 12,863.14 B. 12,900 C. 12,863.15 D. 12,800
Write each percent as a decimal and as a mixed number or fraction in the simplest form.0.35%
What is the solution to 6.6-1/3 with out using a calculator
which equation represents the general form of a circle with a center at (-2 -3) and a diameter of 8 units ?
• x²+y²+4x+6y-51=0
•x²+y²-4x-6y-51=0
•x²+y²+4x+6y-3=0
•x²+y²-4x-6y-3=0
Answers
Answer:
it’s the 3rd one:)
Step-by-step explanation:
Answer:
- In this situation, (h, k) = (-2, -3)
- Radius = 8/2 = 4 units
Substitute them into the circle equation: (x - h)² + (y - k)² = r²
(x - (-2))² + (y - (-3))² = 4²
(x + 2)² + (y + 3)² = 4²
Now expand the equation:
(x + 2)² + (y + 3)² = 4²
(x + 2)(x + 2) + (y + 3)(y + 3) = 16
(x² + 2x + 2x + 4) + (y² + 3y + 3y + 9) = 16
x² + 4x + 4 + y² + 6y + 9 = 16
x² + y² + 4x + 6y + 13 - 16 = 0
x² + y² + 4x + 6y - 3 = 0
Answers
√8
√8 can be broken down into √4 * √2 (because 4*2=8)
√4 is 2.
√2 cannot be simplified.
Final answer is 2√2
Answers
The rule of multiplying fractions is change the division sign into multiplication and change the second fraction into it's reciprocal.
9/2 x 4/3
2 x 3 = 6
9 x 4 = 36
36/6= 6
in conclusion 4 1/2 x 3/4 = 6
Final answer:
To divide 4 1/2 by 3/4, convert 4 1/2 to the improper fraction 9/2. Then, multiply it by the reciprocal of 3/4. The result is 6.
Explanation:
To divide a mixed number by a fraction, we first need to convert the mixed number to an improper fraction. In this case, 4 1/2 can be written as the improper fraction 9/2. Then, we can multiply the numerator of the first fraction (9/2) by the reciprocal of the second fraction (4/3).
So, 4 1/2 ÷ 3/4 = (9/2) × (4/3) = 36/6 = 6.
Therefore, 4 1/2 ÷ 3/4 equals 6.
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Answers
Step-by-step explanation:
3ax - 4x = 15a - 20
x(3a - 4) = 15a - 20
so,
x × 3a = 15a
x × 3 = 15
x = 15/3 = 5
x × -4 = -20
x = -20/-4 = 5
since both terms have the same solution, it is the solution for the whole equation :
x = 5
Answers
The recipe that uses more amount of nuts is the 1st recipe, which uses 2.5 cups of nuts.
What is a fraction?
In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.
As per the information provided in the question,
Total nuts used in 1st recipe = 5/2 = 2.5 cups
Total nuts used in 2nd recipe = 1 cup
Compare the values of nuts used in both recipes.
The number of cups of nuts used in 1st recipe is greater than in the 2nd recipe.
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