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
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is one leg
- b is another leg
- c is hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
a = 19
b = <em>x</em>
c = 21
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 19² + x² = 21²
- Isolate <em>x</em> term: x² = 21² - 19²
- Exponents: x² = 441 - 361
- Subtract: x² = 80
- Isolate <em>x</em>: x = √80
- Simplify: x = 4√5
2 times 2=4
multiply first equation by 2 to get
-4x+6y=12
then add to get
-4x+6y=12
<u>4x-2y=8 +</u>
0x+4y=20
4y=20
y=5
sub back
-2x+3y=6
-2x+3(5)=6
-2x+15=6
-2x=-9
x=9/2=4.5
the number to multiply by is 2
Answer:
r= -sec(θ) x ∛2
θ=0
Step-by-step explanation:
Answer:
The amount of water need to be added is 5 liters.
Step-by-step explanation:
Let's "x" be amount of water in (liters) added to 15 liters of 40% of sugar syrup.
Now find the amount of sugar syrup = 40% of 15
= 0.4 × 15
The amount of sugar syrup = 6 Liters
To dilute 30% we need to find amount of water to be added.
So,
30% of (15 + x) = 6
0.3 × (15 + x) = 6
4.5 + 0.3x = 6
0.3x = 6 - 4.5
0.3x = 1.5
Dividing both sides, by 0.3, we get
x = 5
So, the amount of water need to be added is 5 liters.
You can find a common demominator and then change 8 1/4 into a mixed number and just subtract
