Answer:
The area of ABCF is 2 and 2 × AB = 4
The statement proves that the conjecture is false
Step-by-step explanation:
A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information
Given the length of the sides of rectangle ABDE, we have;
Length AB = 2 units
Length DE = 2 units
The area of ABDE = 2 × 2 = 4 unit²
Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE
However, the are of rectangle ABCF = 2 × 1 = 2 unit²
While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.
Therefore;
The area of ABCF is 2 and 2 × AB = 4
The statement (above) proves that the conjecture is false.
Answer: Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
Step-by-step explanation: <em>Since each recipe makes 28 cookies, tripling the recipe would give him 28(3) = 84 cookies.
</em>
<em>
</em>
<em>Then divide the total number of cookies by the number of guests: 84 21 = 4. Each person would get 4 cookies.</em>
<em>
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<em>This process can be modeled by the expressions 28(3) ÷ 21 and </em>
<em>28(3)
</em>
<em>21
</em>
<em>. This is because the fraction bar represents division.</em>
Answer:
187 units²
Step-by-step explanation:
break the figure into two rectangles
one 16 by 7 , the other 25 by 3
a = (16 * 7) + (25 * 3)
a = 187
Answer:
1 is $1.50
8 is $10.50
Step-by-step explanation:
The sequence is +$3.00
Answer:
258
Step-by-step explanation:
Set up the two equations needed (x is the adult tickets and y is the student tickets)
x+y=372
6x+2y=1776
Solve by elimination
-2(x+y=372)
=-2x-2y=-744
Cancel like figures:
-2x-2y=-744
6x+2y=1776
= 4x=1032
x=258
