Answer. 67
Explanation 100 - x2 + 15 X = 9
100 - (9) 2 + 15
100 - 18+15
100- 33
67
Answer: 298.8 seconds
Step-by-step explanation: 4.98*60=298.8
Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.
Step-by-step explanation:
She has US$300, and she will withdraw half of it on pounds, and half of it in euros.
(half of US$300 is US$150)
We know that:
1 pound = US$1.6
(1 pound/US$1.6) = 1
Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.
And we also know that:
1 euro = US$ 1.3
then:
(1 euro/US$ 1.3) = 1
This means that:
US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.
This means that:
115.38 - 93.75 = 21.63
This means that she has 21.63 more euros than pounds.
and:
115.38/93.75 = 1.23
She has 1.23 times more euros than pounds.
<h3>Factor –3y – 18 is: -3(y + 6)</h3>
<em><u>Solution:</u></em>
Given that we have to factor -3y - 18
Use the distributive property,
a(b + c) = ab + bc
From given,
-3y - 18
Factor out the greatest common factor of 3 and 18
The factors of 3 are: 1, 3
The factors of 18 are: 1, 2, 3, 6, 9, 18
Then the greatest common factor is 3
Factot out 3 from given expression
-3y - 18 = 3( - y - 6)
Or else we can rewrite as,
-3y - 18 = -3(y + 6)
Thus the given expression is factored
Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5
