Let notebooks be x and let pencils be y
4x+9y=8.25 (equation 1)
7x+14y=14.00 (equation 2)
Multiply equation 1 by 7
So that you get 28x+63y=57.75
Multiply equation 2 by 4
So that you get 28x+56y=56.00
28x+63y=57.75 -
28x+56y=56.00
-----------------------
7y=1.75
Divide both sides by 7
1.75/7 is 0.25
So, now we know that one pencil costs 0.25 cents
Sub this y value into equation one
4x+9(0.25)=8.25
4x+2.25=8.25
Move 2.25 to the other side as a negative number
4x= 6
Divide both sides by 4
6/4 is $1.50
So, one pencil is equal to 0.25 cents and one notebook is equal to $1.50
The domain is the x values or inputs to the function
D = { 0,2,4,6,8}
Answer:
He will run 31.6 miles in two weeks.
Step-by-step explanation:
6 days a week = 2.3 miles
6 days · 2 weeks = 12 days total running 2.3 miles
1 day a week = 2 miles
1 day · 2 weeks = 2 days total running 2 miles
(12 · 2.3) + (2 · 2)
27.6 + 4
31.6 miles
AD || BC
<span>• AB = CD </span>
<span>• ∠BAD = ∠CDA (a given condition ∵ ABCD is an isosceles trapezium) </span>
<span>The diagonals AC and BD create two ∆'s: ∆ABD, and ∆ACD </span>
<span>The two ∆'s are congruent (SAS). </span>
<span>(S): AB = CD </span>
<span>(A): ∠BAD = ∠CDA
</span><span>(S): AD = DA (common side) </span>
<span>
The corresponding sides of the two ∆'s, BD and AC, are also congruent. </span>
<span>(the two diagonals of the trapezium/trapezoid)
</span>
Answer:
Area = 7 square units
Perimeter = 14 units
Step-by-step explanation:
The shape is made up of 7 identical squares and, we are told the side length of each square is 1 unit.
==>Find area of the shape by calculating the area of 1 square, then multiply by the number of square used in the construction.
Thus, area of 1 square = s² = 1² = 1 square units.
Area of shape = 7 × 1 square units = 7 square units
==>Find the Perimeter of the shape by adding all the lengths of the boundary formed by the square to make up the shape.
(Check attachment to understand how we got the measurement of the boundary)
<em>The perimeter = 1 + 1 + 1 + ½ + ½ + 1 + 1 + 1½ + ½ + 1 + 1 + 4 = 14 units</em>
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