Answer:
A. 8 inches by 6 inches.
B. 
.
Step-by-step explanation:
We have been given that George had 1 sheet of paper. He cuts it into 6 inches by 5 inches and 3 inches by 6 inches.
We can see that two dimensions of small parts of paper sheet have one dimension same (6 inches), therefore, one dimension of original sheet of paper will be 6 inches.
We can figure out second dimension of original paper sheet by adding the lengths of dimension other than 6. So the second dimension will be 8 inches (5+3).
Therefore, the dimensions of our original sheet will be 8 inches by 6 inches.
Now let us figure out the total area of the original sheet of paper by multiplying 8 by 6.
Therefore. the area of original sheet of paper will be .
<h3>
Answer: B. All real numbers</h3>
Work Shown:
2(3c+3) < 6c+9
6c+6 < 6c+9 .... distribute
6c+6-6c <6c+9-6c .... subtract 6c from both sides
6 < 9 ... note the c terms go away entirely
We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.
Answer:
C) 160
Step-by-step explanation:
Set up a proportion:
= 
Cross multiply and solve for x:
15x = 3600
x = 240
This means in 400 marbles, 240 are purple.
To find how many are not purple, subtract 240 from 400:
400 - 240
= 160 marbles
So, 160 marbles are not purple
Answer:
2 and 2/3
Step-by-step explanation:
To multiply fractions, all you have to do is multiply the numerators by the denominators and/or simplify opposite sides.
4/9 * 6 would be 4/9 * 6/1, which equals 4/3 * 2/1. 4*2 is 8 and 3*1 is 3, so the answer would be 8/3, which simplifies to 2 2/3.
Answer:
10 cm²
Step-by-step explanation:
74 088 is the cubed of one side. So you would do ![\sqrt[3]{74088}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B74088%7D)
which is 42. So one side of the cube is 42. To find the surface area, you would do 6(42x42) which would give you 10584. Remember to put cm²
