Answer:
Step-by-step explanation:
x = 61⁰
Reason: x + 29⁰ = 90⁰ ( right angles i.e the angles are perpendicular to one another)
x = 90⁰ - 29⁰
x = 61⁰
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Answer:
- 19 ≤ 19 . . . true
- 19 < 19 . . . false
- x = 9
Step-by-step explanation:
A) A number cannot be less than itself, but can be equal to itself.
In each case, the left side of the inequality evaluates to 19:
4(5) -1 = 20 -1 = 19
It is true that 19 is less than or equal to 19. This is true because 19 = 19.
It is not true that 19 is less than 19. A number cannot be less than itself.
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B) 5x +2 = 47
5x = 45 . . . . . . subtract 2 from both sides
x = 9 . . . . . . . . . divide both sides by 5
The element 9 from the set is the solution to the equation.
Answer:
- 40 popcorns and 90 pretzels sold.
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Let the number of popcorns is x and pretzels is y.
Set up equations:
- x + y = 130
- 2.5x + 2y = 280
Solve by elimination, multiply the first equation by 2 and subtract from the second equation:
- 2.5x + 2y - 2x - 2y = 280 - 2*130
- 0.5x = 280 - 260
- 0.5x = 20
- x = 20/0.5
- x = 40
Find y:
- 40 + y = 130
- y = 130 - 40
- y = 90
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
The division equation that has a quotient of 13 is 1/1/13 = 13
<h3>How to determine the equation?</h3>
The given parameters are:
- Quotient = 13
- Dividend = Whole number
- Divisor = Unit fraction i.e. 1/n where n is an integer.
A division equation is represented as:
Dividend/Divisor = Quotient
Substitute 13 for the Quotient
Dividend/Divisor = 13
Recall that:
Unit fraction = 1/n
So, we have:
Dividend/1/n = 13
Let n = 13.
So, we have:
Dividend/1/13 = 13
This gives
13 * Dividend = 13
Divide both sides by 13
Dividend = 1
So, we have:
1/1/13 = 13
Hence, the division equation is 1/1/13 = 13
Read more about division equations at:
brainly.com/question/1622425
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