Answer: 13 & 1/2 cups of sugar
Whole part = 13
Fractional part = 1/2
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Explanation:
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
1 batch = 3 cups sugar
4.5*(1 batch) = 4.5*(3 cups sugar)
4.5 batches = 13.5 cups of sugar
The decimal number 13.5 converts to the mixed number 13 & 1/2 which is the same as writing 13 1/2
The number that 7 belongs to is a rational number.
<h3>What is a rational number?</h3>
It should be noted that a rational number is a number that is expressed as the ratio of two integers.
In this case, the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions.
Rational numbers are terminating decimals but irrational numbers are non-terminating and non-recurring.
Therefore, the number that 7 belongs to is a rational number.
Learn more about numbers on:
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Answer:
x = 16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
x + (3x - 4) = 5 - (-7 - 3x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x
- [Addition] Combine like terms: 4x - 4 = 12 + 3x
- [Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12
- [Addition Property of Equality] Add 4 on both sides: x = 16
X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.
Answer:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
Step-by-step explanation:
There are 100 students (40+15+20+25).
20 signed up for Track and Field.
20 out of 100 would equate to 20/100, or 2/10, or:
1) A bar diagram with 2 shaded squares and 8 unshaded squares.
