Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
13T+8C ≤ 220
Let us substitute 9 for T and 5 for C and check.
13(9) + 8(5) = 117 + 40
= 157 < 220
So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.
48T+37C ≤ 760
Substitute 9 for T and 5 for C.
48(9)+37(5) = 432 + 185
= 617 < 760
So, 760 nails are sufficient to make 9 tables and 5 chairs.
Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.
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Answer:
Step-by-step explanation:
The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

In the given table, independent variable = Days
Dependent variable = Total Miles
From first row, Days = 3
Total Miles = 
Then, the constant of proportionality in the table

Hence, the constant of proportionality in the table is
.
Answer:
p = 9
Step-by-step explanation:
8(8p + 8) = 640
use the dist property
64p + 64 = 640
<u> -64 -64</u>
64p = 576
divide by 64
p = 9
Answer:
B. The area of the base of the pyramid, B, is 24 centimeters squared.
C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.
Step-by-step explanation:
Given a rectangular pyramid with:
Height=9 cm
Base Dimensions = 4 centimeters by 6 centimeters
Base Area B=4 X 6 =24 Square cm.
Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.
Volume of a pyramid = 

Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters
=Base Area X Height
=24 X 9

Now, 216/72=3
Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid
Therefore, <u>Option C is correct.</u>