Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 +
2 answers:
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Answer:
Largest possible length is <em>21 inches</em>.
Step-by-step explanation:
Given:
Total material available = 60 inches
Length to be 3 more than twice of width.
To find:
Largest possible length = ?
Solution:
As it is rectangular shaped frame.
Let length = inches and
Width = inches
As per given condition:
..... (1)
Total frame available = 60 inches.
i.e. it will be the perimeter of the rectangle.
Formula for perimeter of rectangle is given as:
Putting the given values and conditions as per equation (1):
Putting in equation (1):
So, the answer is:
Largest possible length is <em>21 inches</em>.
Answer:
Cost of Television = $294
Step-by-step explanation:
7% discount means 7/100 = 0.07 LESS
So we need to multiply by 1 - 0.07 = 0.93
Also, 10% MORE, or extra, means 10/100 = 0.10 MORE
So we need to multiply by 1 + 0.10 = 1.1
Let cost of television be "c", so we can say:
- 7% discount would mean cost to be c(0.93) = 0.93c
- 10% with interest would mean cost to be c(1.10) = 1.10c
The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:
Cost of Television = $294
Parameterize the cylinder (call it ) by
with and
. Then
Take the normal vector to to be
Then the flux of across
is