Answer:
x=−y+4
Step-by-step explanation:
Answer:
(1, 3)
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>Algebra I</u>
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 3
y = -3x + 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 3 = -3x + 6
- [Subtraction Property of Equality] Subtract 6 on both sides: -3 = -3x
- [Division Property of Equality] Divide -3 on both sides: 1 = x
- Rewrite/Rearrange: x = 1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3(1) + 6
- Multiply: y = -3 + 6
- Add: y = 3
There are 8008 groups in total, in other to drive the children
<h3>How to determine the number of groups?</h3>
From the question, we have
- Total number of children, n = 16
- Numbers to children at once, r = 6
The number of group of children that could be carried at once is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 16 and r = 6
Substitute the known values in the above equation
Total = ¹⁶C₆
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 16!/10!6!
Evaluate
Total = 8008
Hence, the number of groups is 8008
Read more about combination at
brainly.com/question/11732255
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Hey there! :)
Answer:
Length = 24 meters.
Width = 8 meters.
Step-by-step explanation:
Recall that to find the area of a rectangle, the formula is as shown:
A = l × w
In this case, the length is 3 times the length of the width, or 3 : 1.
Let w = width, and
3w = length.
Find the value of w by plugging in these values into the equation:
192 = 3w · w
192 = 3w²
Divide both sides by 3:
64 = w²
Square root both sides:
w = 8 meters. This is the width.
The length is equivalent to 3w, so:
3(8) = 24 meters.
<span><span>25th Percentile: 28
</span><span>50th Percentile: 29
</span><span>75th Percentile: 30
</span>Interquartile Range: <span>2</span></span>
