Answer:
Your answer will be 5.6. 6.0-0.4=5.6. This is one of the fact families.
Step-by-step explanation:
Now use 5.6 in the equation. 5.6+0.4=6. This answer is correct.
Each train carried 64141 kg of flour and each truck carried 9163 kg of flour.
Step-by-step explanation:
Let the no. of kg of flour carried by each train be 'a'
Let the no. of kg of flour carried by each truck be 'b'
Total flour = 403172 kg
No. Of trains = 5
No. of trucks = 9
a = 7(b)
5a + 9b = 403172
5(7b) + 9b = 403172
35b + 9b = 403172
44b = 403172
b = 403172/44
b = 9163
Each truck carried 9163 kg of flour.
a = 7b
a = 7(9163)
a = 64141
Each train carried 64141 kg of flour.
If we convert the given in its mathematical form, we have,
(30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².
((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)
Cancellation of the common terms will give us an answer of,
<em>5x²/2y³
</em><em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
Answer:
D. (1/4, -2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -8x
4x - y = 3
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x - (-8x) = 3
- Simplify: 4x + 8x = 3
- Combine like terms: 12x = 3
- Isolate <em>x</em>: x = 3/12
- Simplify: x = 1/4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -8x
- Substitute in <em>x</em>: y = -8(1/4)
- Multiply: y = -2
Find 10% of $19,200 = 1,920
Find 2% of $1,920 = 384
12% = $2,304
19,200 - 2,304 = 16,896 (year 1)
Repeat this until you have your 5th year :)
